Casio ALGEBRA FX 2.0 User Manual Download

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19990401

Matrix Inversion

[OPTN]

[MAT]

[

–1

]

Example

To invert the following matrix :

Matrix A =

(MAT)

(Mat)

(A)

)

(

–1

)

Squaring a Matrix

[OPTN]

[MAT]

[

]

Example

To square the following matrix :

Matrix A =

(MAT)

(Mat)

(A)

2-8-19

Matrix Calculations

# Only square matrices (same number of rows

and columns) can be inverted. Trying to invert
a matrix that is not square produces an error.

# A matrix with a determinant of zero cannot be

inverted. Trying to invert a matrix with
determinant of zero produces an error.

# Calculation precision is affected for matrices

whose determinant is near zero.

# A matrix being inverted must satisfy the

conditions shown below.

The following shows the formula used to
invert Matrix A into inverse matrix A

–1

A A

–1

= A

–1

A = E =

1 0
0 1

A =

a b
c d

Note that ad – bc

–1

ad – bc

d –b

–c a

Summary of Contents for ALGEBRA FX 2.0

Page 1: ... ALGEBRA FX 2 0 User s Guide ...

Page 2: ...8A 68 BI B 6 J 76 7B G7B 7I 8A I7 7K 6L G 9CFB CR S 1 7B 68 7B B 7 98 8A B M 6L 968 6694 S 6 B 9C 8A C 9B98 76 8K 6 8A EF G 68 96H B M B4 S 0766 8 8A EF G 68 687 96 7F8 8 76 9 B F 8 H II B 68 IB7G 8A98 87 KA A 8A B M B C 766 8 H4 S 076CF 8 8A H 9 B 7B 96 T B 6 H B9H 7U2V 8 A6 96 I7B A 4 0A96L C 7B G7H I 98 76C 678 T B CC J 9 B7M H J 8A 9B8J B C 76C I7B 7G 96 7F H M7 H 8A FC BWC 9F8A7B 8J 87 7 B98 ...

Page 3: ... turn the calculator over Remove the back cover from the calculator by pulling with your finger at the point marked 1 2 Load the four batteries that come with calculator Make sure that the positive and negative ends of the batteries are facing cor rectly 3 Remove the insulating sheet at the location marked BACK UP by pulling in the direc tion indicated by the arrow 4 Replace the back cover making ...

Page 4: ...ory reset 6 Use the cursor keys f c d e to select the SYSTEM icon and press w then press 2 to display the contrast adjustment screen 7 Adjust the contrast The e cursor key makes display contrast darker The d cursor key makes display contrast lighter 1 INIT returns display contrast to its initial default 8 To exit display contrast adjustment press m ...

Page 5: ...19990401 Turning Power On And Off Using Modes Basic Calculations Replay Feature Fraction Calculations Exponents Graph Functions Dual Graph Box Zoom Dynamic Graph Table Function Quick Start ...

Page 6: ... Press fh Whenever necessary we ve included samples of what your screen should look like If you find that your screen doesn t match the sample you can restart from the begin ning by pressing the All Clear button o TURNING POWER ON AND OFF To turn power on press o To turn power off press o OFF Calculator power turns off automatically if you do not perform any operation within the Auto Power Off tri...

Page 7: ... include mixed arithmetic operators and parentheses the calculator automatically applies true algebraic logic to calculate the result Example 15 3 61 1 Press o to clear the calculator 2 Press bf d gbw Parentheses Calculations Example 15 3 61 1 Press bf d gb w Built In Functions This calculator includes a number of built in scientific functions including trigonometric and logarithmic functions Exam...

Page 8: ...th the replay feature simply press dor eto recall the last calculation that was performed so you can make changes or re execute it as it is Example To change the calculation in the last example from 25 sin 45 to 25 sin 55 1 Press d to display the last calculation 2 Press d twice to move the cursor t to 4 3 Press D to delete 4 4 Press f 5 Press w to execute the calculation again 3 Quick Start REPLA...

Page 9: ...onverting a Mixed Fraction to an Improper Fraction While a mixed fraction is shown on the display press d c to convert it to an improper fraction Press d c again to convert back to a mixed fraction Converting a Fraction to Its Decimal Equivalent While a fraction is shown on the display press to convert it to its decimal equivalent Press again to convert back to a fraction Indicates 6 7 144 4 Quick...

Page 10: ...9990401 EXPONENTS Example 1250 2 065 1 Press o 2 Press bcfa c ag 3 Press M and the indicator appears on the display 4 Press f The 5 on the display indicates that 5 is an exponent 5 Press w 5 Quick Start ...

Page 11: ... from origin r All of the following graphing examples are performed starting from the calculator setup in effect immediately following a reset operation Example 1 To graph Y X X 1 X 2 1 Press m 2 Use defc to highlight GRPH TBL and then press w 3 Input the formula v v b v c w 4 Press 5 DRAW or w to draw the graph Example 2 To determine the roots of Y X X 1 X 2 1 Press 4 G SLV to display the pull up...

Page 12: ... and the X 1 root obtained for Y X X 1 X 2 1 Press i4 G SLV c 2 Press i dx 3 Use dto move the pointer to the location where X 1 and then press w Next use e to move the pointer to the location where X 0 and then press w to input the integration range which becomes shaded on the display 7 Quick Start ...

Page 13: ...on Y1 X X 1 X 2 Y2 X 1 2 1 Press u3 SET UP ccc2 G G to specify G G for the Dual Screen setting 2 Press i and then input the two functions v v b v c w v b cw 3 Press 5 DRAW or w to draw the graphs BOX ZOOM Use the Box Zoom function to specify areas of a graph for enlargement 1 Press 2 ZOOM b Box 2 Use d e fc to move the pointer to one corner of the area you want to specify and then press w 8 Quick ...

Page 14: ...n the inactive right side screen DYNAMIC GRAPH Dynamic Graph lets you see how the shape of a graph is affected as the value assigned to one of the coefficients of its function changes Example To draw graphs as the value of coefficient A in the following function changes from 1 to 3 Y AX2 1 Press m 2 Use d e fc to highlight DYNA and then press w 3 Input the formula av A vxw 12356 9 Quick Start ...

Page 15: ...assign an initial value of 1 to coefficient A 5 Press 2 RANG bwdwb wto specify the range and increment of change in coefficient A 6 Press i 7 Press 6 DYNA to start Dynamic Graph drawing The graphs are drawn 10 times 10 Quick Start ...

Page 16: ...variables of a function Example To create a number table for the following function Y X X 1 X 2 1 Press m 2 Use defc to highlight GRPH TBL and then press w 3 Input the formula v v b v c w 4 Press 6 g 5 TABL to generate the number table To learn all about the many powerful features of this calculator read on and explore 11 Quick Start ...

Page 17: ...facturer and its suppliers be liable to you or any other person for any damages expenses lost profits lost savings or any other damages arising out of loss of data and or formulas arising out of malfunction repairs or battery replacement It is up to you to prepare physical records of data to protect against such data loss Never dispose of batteries the liquid crystal panel or other components by b...

Page 18: ...llateral incidental or consequential damages in connection with or arising out of the purchase or use of these materials Moreover CASIO Computer Co Ltd shall not be liable for any claim of any kind whatsoever against the use of these materials by any other party The contents of this user s guide are subject to change without notice No part of this user s guide may be reproduced in any form without...

Page 19: ...19990401 ALGEBRA FX 2 0 ...

Page 20: ... Specifying the Angle Unit and Display Format 2 3 1 2 4 Function Calculations 2 4 1 2 5 Numerical Calculations 2 5 1 2 6 Complex Number Calculations 2 6 1 2 7 Binary Octal Decimal and Hexadecimal Calculations 2 7 1 2 8 Matrix Calculations 2 8 1 Chapter 3 List Function 3 1 Inputting and Editing a List 3 1 1 3 2 Manipulating List Data 3 2 1 3 3 Arithmetic Calculations Using Lists 3 3 1 3 4 Switching...

Page 21: ... 2 1 6 3 Calculating and Graphing Paired Variable Statistical Data 6 3 1 6 4 Performing Statistical Calculations 6 4 1 Chapter 7 Computer Algebra System and Tutorial Modes 7 1 Using the CAS Computer Algebra System Mode 7 1 1 7 2 Algebra Mode 7 2 1 7 3 Tutorial Mode 7 3 1 7 4 Algebra System Precautions 7 4 1 Chapter 8 Programming 8 1 Basic Programming Steps 8 1 1 8 2 Program Mode Function Keys 8 2 ...

Page 22: ...nit to a Personal Computer 10 3 1 10 4 Performing a Data Communication Operation 10 4 1 10 5 Data Communications Precautions 10 5 1 10 6 Sending a Screen Shot 10 6 1 10 7 Add ins 10 7 1 10 8 MEMORY Mode 10 8 1 Appendix 1 Error Message Table 1 1 2 Input Ranges 2 1 3 Specifications 3 1 4 Index 4 1 5 Key Index 5 1 6 P Button In case of hang up 6 1 7 Power Supply 7 1 ...

Page 23: ...are indicated by function menus that appear at the bottom of the display This user s guide shows the current operation assigned to a function key in parentheses following the key cap for that key 1 Comp for example indicates that pressing 1 selects Comp which is also indicated in the function menu When g is indicated in the function menu for key 6 it means that pressing 6 displays the next page or...

Page 24: ...is mode to store programs in th program area and to run programs Use this mode to perform algebraic calculations Use this mode for step by step solution of expressions Use this mode to determine the expression type and solve mode and for interactive equation solutions Use this mode for step by step solution of expressions Use this mode to manage data stored in memory Use this mode to initialize me...

Page 25: ...c Operation 1 1 Keys 1 2 Display 1 3 Inputting and Editing Calculations 1 4 Option OPTN Menu 1 5 Variable Data VARS Menu 1 6 Program PRGM Menu 1 7 Using the Set Up Screen 1 8 When you keep having problems Chapter 1 ...

Page 26: ...19990401 1 1 Keys 1 1 1 Keys REPLAY COPY PASTE CAT CAL H COPY PRGM List Mat i ...

Page 27: ... 3 5 5 3 4 10 6 1 5 2 1 1 1 3 1 3 4 1 4 1 1 2 1 2 4 4 2 4 4 2 4 4 2 4 4 2 4 3 2 4 3 2 4 3 2 4 3 1 3 3 1 3 1 2 1 1 2 1 1 2 1 1 2 1 1 2 2 5 2 1 1 2 1 1 2 4 6 2 1 1 2 4 10 2 4 10 3 1 2 2 8 11 2 4 3 2 4 6 2 4 6 2 1 1 2 4 3 2 4 3 2 2 1 2 4 6 COPY PASTE CAT CAL H COPY PRGM List Mat i REPLAY 1 1 2 Keys k k k k k KeyTable ...

Page 28: ...log l 2 10x l 3 B al The following describes the color coding used for key markings Color Key Operation Orange Press and then the key to perform the marked function Red Press a and then the key to perform the marked function Alpha Lock Normally once you press a and then a key to input an alphabetic character the keyboard reverts to its primary functions immediately If you press and then a the keyb...

Page 29: ... display the Main Menu 2 Use the cursor keys d e f c to move the highlighting to the icon you want 3 Press w to display the initial screen of the mode whose icon you selected Here we will enter the STAT Mode You can also enter a mode without highlighting an icon in the Main Menu by inputting the number or letter marked in the lower right corner of the icon Currently selected icon ...

Page 30: ...Rsion Use this mode to store recursion formulas to generate a numeric table of different solutions as the values assigned to variables in a function change and to draw graphs CONICS Use this mode to draw graphs of implicit functions EQUAtion Use this mode to solve linear equations with 2 to 30 unknowns and high degree 2 to 30 equations PRoGraM Use this mode to store programs in th program area and...

Page 31: ... and then press w The symbol to the right of a command indicates that executing the command displays a submenu To cancel the pull up menu without inputting the command press i k k k k k About Display Screens This calculator uses two types of display screens a text screen and a graphic screen The text screen can show 21 columns and 8 lines of characters with the bottom line used for the function ke...

Page 32: ...use the exponent is positive This results in the value 1 200 000 000 000 1 2E 03 indicates that the result is equivalent to 1 2 10 3 This means that you should move the decimal point in 1 2 three places to the left because the exponent is negative This results in the value 0 0012 You can specify one of two different ranges for automatic changeover to normal display Norm 1 10 2 0 01 x x 1010 Norm 2...

Page 33: ...s Indicates 12 34 56 78 In addition to the above this calculator also uses other indicators or symbols which are described in each applicable section of this manual as they come up k k k k k Calculation Execution Indicator Whenever the calculator is busy drawing a graph or executing a long complex calculation or program a black box k flashes in the upper right corner of the display This black box ...

Page 34: ...he result Example 1 2 3 4 10 Ac d e baw Example 2 2 5 4 23 5 Ac f e cd f w k Editing Calculations Use the d and e keys to move the cursor to the position you want to change and then perform one of the operations described below After you edit the calculation you can execute it by pressing w Or you can use e to move to the end of the calculation and input more u To change a step Example To change c...

Page 35: ...ample To change 369 2 to 369 2 Adgj c ddD u To insert a step Example To change 2 362 to sin2 362 Ac dgx ddddd s u To change the last step you input Example To change 396 3 to 396 2 Adgj d D c 1 3 2 Inputting and Editing Calculations ...

Page 36: ...ious calculations in sequence from the newest to the oldest Multi Replay Function Once you recall a calculation you can use e and d to move the cursor around the calculation and make changes in it to create a new calculation Example 2 Abcd efgw cde fghw A f One calculation back f Two calculations back 1 3 3 Inputting and Editing Calculations Pressing D INS changes the cursor to _ The next function...

Page 37: ...py commands programs and other text data you input to a memory area called the clipboard and then paste it to another location on the display u To specify the copy range 1 Move the cursor t the beginning or end of the range of text you want to copy and then press u This changes the cursor to 2 Use the cursor keys to move the cursor and highlight the range of text you want to copy Cursor is positio...

Page 38: ... k k k k Catalog Function The Catalog is an alphabetic list of all the commands available on this calculator You can input a command by calling up the Catalog and then selecting the command you want u To use the Catalog to input a command 1 Press u4 CAT CAL to display the Catalog at the bottom of the screen 2 Press the function key that matches the first letter of the command you want to input 3 S...

Page 39: ...19990401 Example 2 To use the Catalog to input the Prog command Au4 CAT CAL 6 g 6 g 5 P I Prog Pressing i or i QUIT closes the Catalog 1 3 6 Inputting and Editing Calculations ...

Page 40: ...trix operation menu CPLX complex number calculation menu CALC functional analysis menu NUM numeric calculation menu PROB probability distribution calculation menu HYP hyperbolic calculation menu ANGL menu for angle coordinate conversion DMS input conversion STAT paired variable statistical estimated value menu FMEM function memory menu ZOOM zoom function menu SKTCH sketch function menu PICT pictur...

Page 41: ...ble value is displayed in the GRPH TBL or RECUR Mode LMEM list memory menu ENG ENG u Option Menu in the CAS or ALGEBRA or TUTOR Mode infinity Abs absolute value x factorial sign signum function HYP FMEM The meanings of the option menu items are described in the sections that cover each mode 1 4 2 Option OPTN Menu ...

Page 42: ... Ymin R Ymax R Yscl Dual Graph right graphY axis minimum value maximum value scale R Tmin R Tmax R Tpch Dual Graph right graph T minimum value maximum value pitch u FACT Recalling zoom factors Xfact Yfact x axis factor y axis factor 1 5 1 Variable Data VARS Menu 1 The EQUA item appears only when you access the variable data menu from the RUN MAT or PRGM Mode The variable data menu does not appear ...

Page 43: ... n 1 minY maxY mean sum sum of squares sum of products of x data and y data population standard deviation sample standard deviation minimum value maximum value GRAPH graph data menu a b c d e regression coefficient and multinomial coefficients r r2 correlation coefficient Q1 Q3 first quartile third quartile Med Mod median mode of input data H Strt H ptch histogram start division pitch PTS summary ...

Page 44: ...orage area u DYNA Recalling Dynamic Graph Set Up Data Start End Pitch coefficient range start value coefficient range end value coefficient value increment u TABL Recalling Table Graph Set Up and Content Data Start End Pitch table range start value table range end value table value increment Result 1 matrix of table contents 1 5 3 Variable Data VARS Menu 1 The Result item appears only when the TAB...

Page 45: ...4 5 S Rslt S Coef matrix of solutions coefficients for linear equations 6 P Rslt P Coef matrix of solution coefficients for a high degree equation 1 5 4 Variable Data VARS Menu 1 An error occurs when there is no function or recursion formula numeric table in memory 2 Result is available only in the RUN MAT and PRGM Modes 3 Table contents are stored automatically in Matrix Answer Memory MatAns 4 Co...

Page 46: ...ol command menu CTRL program control command menu LOGIC logical operation command menu CLR clear command menu DISP display command menu multistatement connector The following function key menu appears if you press J PRGM in the RUN MAT Mode or the PRGM Mode while binary octal decimal or hexadecimal is set as the default number system Prog JUMP G G G G G relational operator menu The functions assig...

Page 47: ...iffer according to the mode you are in and that mode s current settings 3 Use the f and c cursor keys to move the highlighting to the item whose setting you want to change 4 Press the function key 1 to 6 that is marked with the setting you want to make 5 After you are finished making any changes you want press i to return to the initial screen of the mode k SET UP Screen Function Key Menus This se...

Page 48: ...lue display On Off display on display off while Graph to Table Table Graph and Trace are being used u Angle default angle unit Deg Rad Gra degrees radians grads u Complex Mode Real calculation in real number range only a bi r e i rectangular format polar format display of a complex calculation u Coord graph pointer coordinate display On Off display on display off u Grid graph gridline display On O...

Page 49: ...h draw settings Rang LIST use table range use list data u Graph Func function display during graph drawing and trace On Off display on display off u Dual Screen Dual Screen Mode status T G G G GtoT Off graph on one side and numeric table on the other side of Dual Screen graphing on both sides of Dual Screen graph on one side and numeric table on the other side of Dual Screen Dual Screen off u Simu...

Page 50: ...sion table On Off display on display off u Slope display of derivative at current pointer location in implicit function graph On Off display on display off u Answer Type result range specification Real Cplx real number complex number range result u H Copy screen shot settings Dirct Mem direct send store in memory 1 7 4 Using the Set Up Screen ...

Page 51: ...Mode 2 Press 5 Reset 3 Press 1 S U and then press w Yes 4 Press m to return to the Main Menu Now enter the correct mode and perform your calculation again monitoring the results on the display k k k k k In Case of Hang Up Should the unit hang up and stop responding to input from the keyboard press the P button on the back of the calculator to reset the calculator to its initial defaults see page 6...

Page 52: ...f to protect memory contents Once this happens you will not be able to turn power back on and there is the danger that memory contents will be corrupted or lost entirely You will not be able to perform data communications operations after the low battery message appears 1 8 2 When you keep having problems If main batteries and the back up battery go low at the same time indicated when both of the ...

Page 53: ...ions 2 2 Special Functions 2 3 Specifying the Angle Unit and Display Format 2 4 Function Calculations 2 5 Numerical Calculations 2 6 Complex Number Calculations 2 7 Binary Octal Decimal and Hexadecimal Calculations 2 8 Matrix Calculations Chapter 2 ...

Page 54: ...n priority over addition and subtraction Example Operation 23 4 5 53 25 5 23 4 5 53w 56 12 2 5 268 8 56 12 2 5w 2 3 102 500 2 3 1E2w 1 1 2 3 4 5 6 6 6 1 2 3 4 5 6w 100 2 3 4 80 100 2 3 4w 2 3 4 5 29 2 3 4 5w 2 7 2 8 5 65 7 2 8 5 w 3 6 0 3 6 4 5 w 4 4 5 1 2i 2 3i 3 5i b c a i c d a i w 2 i 2 i 5 c a i c a i w 1 2 3 E2 does not produce the correct result Be sure to enter this calculation as shown 2 ...

Page 55: ... mantissa Use Rnd of the Numeric Calculation Menu NUM page 2 4 1 to round the displayed value off to the number of decimal place and number of significant digit settings Number of decimal place Fix and number of significant digit Sci settings normally remain in effect until you change them or until you change the normal display range Norm setting Example 100 6 16 66666666 Condition Operation Displ...

Page 56: ... the following order 1 Coordinate transformation Pol x y Rec r Differentials quadratic differentials integrations calculations d dx d2 dx2 dx Mat Solve FMin FMax List Mat Seq Min Max Median Mean Augment Mat List P Q R t List 2 Type A functions With these functions the value is entered and then the function key is pressed x2 x 1 x ENG symbols angle unit o r g 3 Power root xy x 4 Fractions ab c 5 Ab...

Page 57: ...xor bit operations or bit operation And logical operation Or logical operation Example 2 3 log sin2 2 6 8 22 07101691 angle unit Rad 1 2 3 4 5 6 When functions with the same priority are used in series execution is performed from right to left ex In ex In 120 120 Otherwise execution is from left to right Compound functions are executed from right to left Anything contained within parentheses recei...

Page 58: ...ecified input or calculation range or attempting an illegal input causes an error message to appear on the display Further operation of the calculator is impossible while an error message is displayed The following events cause an error message to appear on the display When any result whether intermediate or final or any value in memory exceeds 9 999999999 1099 Ma ERROR When an attempt is made to ...

Page 59: ...the SET UP Screen Non Real ERROR k Memory Capacity Each time you press a key either one byte or two bytes is used Some of the functions that require one byte are b c d sin cos tan log In and Some of the functions that take up two bytes are d dx Mat Xmin If For Return DrawGraph SortA PxIOn Sum and an 1 2 1 6 Basic Calculations As you input numeric values or commands they appear flush left on the di...

Page 60: ...culations Variables are identified by single letter names which are made up of the 26 letters of the alphabet plus r and The maximum size of values that you can assign to variables is 15 digits for the mantissa and 2 digits for the exponent u To assign a value to a variable value a variable name w Example To assign 123 to variable A Abcdaav A w Example To add 456 to variable A and store the result...

Page 61: ...sign a value of 10 to variables A through F Abaaav A K6 g 6 g 4 SYBL d at F w uFunction Memory OPTN FMEM Function memory f1 f20 is convenient for temporary storage of often used expressions For longer term storage we recommend that you use the GRPH TBL Mode for expressions and the PRGM Mode for programs Store Recall fn SEE function store function recall function area specification as a variable na...

Page 62: ...ecall the contents of function memory number 1 K6 g 5 FMEM c Recall bw u To display a list of available functions K6 g 5 FMEM e SEE 2 2 3 Special Functions If the function memory number to which you store a function already contains a function the previous function is replaced with the new one The recalled function appears at the current location of the cursor on the display ...

Page 63: ...on memory you specify u To use stored functions Example To store x3 1 x2 x into function memory and then graph y x3 x2 x 1 Use the following View Window settings Xmin 4 Xmax 4 Xscale 1 Ymin 10 Ymax 10 Yscale 1 u3 SET UP c1 Y i AvMd bK6 g 5 FMEM b Store bw stores x3 1 iAvx v5 FMEM b Store cw stores x2 x iAK6 g 6 g 2 SKTCH b Cls w 2 SKTCH e GRAPH b Y K6 g 5 FMEM d fn b 5 FMEM d fn cw For full detail...

Page 64: ...t of one calculation as one of the arguments in the next calculation Example 1 1 3 1 3 3 Ab dw Continuing dw Continuous calculations can also be used with Type A functions x2 x 1 x page 2 1 3 xy x etc 2 2 5 Special Functions The largest value that the answer memory can hold is 15 digits for the mantissa and 2 digits for the exponent Only numeric values and calculation results can be stored in answ...

Page 65: ...acity of available numeric value stack or command stack space or if execution of a program subroutine exceeds the capacity of the subroutine stack Example 2 2 6 Special Functions 1 2 3 4 5 b c d e f g h 2 3 4 5 4 Numeric Value Stack Command Stack Calculations are performed according to the pri ority sequence Once a calculation is executed it is cleared from the stack Storing a complex number takes...

Page 66: ...splay Result Command When execution reaches the end of a statement followed by a display result command execu tion stops and the result up to that point appears on the display You can resume execution by pressing the w key Example 6 9 123 848 7 123 3 2 38 4375 Abcdaav A J PRGM 6 g 6 g 3 g j av A J PRGM 4 av A d cw w 2 2 7 Special Functions The final result of a multistatement is always displayed r...

Page 67: ...adians 400 grads 90 2 radians 100 grads k k k k k Setting the Display Format SET UP Display 1 On the Set Up screen highlight Display 2 Press the function key for the item you want to set then press i Fix Sci Norm Eng fixed number of decimal places specification number of significant digits specification normal display Engineering Mode u To specify the number of decimal places Fix Example To specif...

Page 68: ...ineering notation and standard notation The indicator E is on the display while engineering notation is in effect You can use the following symbols to convert values to engineering notation such as 2 000 2 103 2k E Exa 1018 m milli 10 3 P Peta 1015 micro 10 6 T Tera 1012 n nano 10 9 G Giga 109 p pico 10 12 M Mega 106 f femto 10 15 k kilo 103 2 3 2 Specifying the Angle Unit and Display Format Displ...

Page 69: ... Rnd rounds off the value used for internal calculations to 10 significant digits to match the value in the Answer Memory or to the number of decimal places Fix and number of significant digits Sci specified by you Intg select this item and input a value to obtain the largest integer that is not greater than the value E SYM engineering symbol m n p f milli 10 3 micro 10 6 nano 10 9 pico 10 12 femt...

Page 70: ...al place of the displayed value three digits to the left right and decreases increases the exponent by three When you are using engineering notation the engineering symbol is also changed accordingly The ENG and ENG menu operations are available only when there is a calculation result on the display k k k k k Angle Units To change the angle unit of an input value first press K3 ANGL On the pull up...

Page 71: ...n the SET UP screen Example Operation sin 63 0 8910065242 u3 SET UP cccc1 Deg i s63w cos rad 0 5 u3 SET UP cccc2 Rad i 3 c E d w tan 35gra 0 6128007881 u3 SET UP cccc3 Gra i t 35w 2 sin 45 cos 65 0 5976724775 u3 SET UP cccc1 Deg i 2 s45 c65w 1 cosec 30 1 2 1 s30w sin30 sin 1 0 5 30 s sin 1 0 5 2 w x when sinx 0 5 2 4 3 Function Calculations 1 can be omitted 2 Input of leading zero is not necessary...

Page 72: ...90 4 49980967 I90w 101 23 16 98243652 To obtain the antilogarithm of common l 10x 1 23w logarithm 1 23 e4 5 90 0171313 To obtain the antilogarithmof natural I ex 4 5w logarithm 4 5 3 4 3 3 3 3 81 3 M4w 34 3 3 3 3 81 3M4w 1 7 1237 1 988647795 7 M x 123w 2 3 3 4 10 2 3 3 M x 64 4w 1 2 4 4 Function Calculations 123 64 1 xy and x take precedence over multiplication and division ...

Page 73: ... 28545536 K6 g 2 HYP b sinh 3 6w cosh 1 5 sinh 1 5 K6 g 2 HYP c cosh 1 5 0 2231301601 2 HYP b sinh 1 5w e 1 5 Display 1 5 I Ans w Proof of cosh x sinh x e x cosh 1 20 0 7953654612 K6 g 2 HYP f cosh 1 20 15 w 15 Determine the value of x when tanh 4 x 0 88 x tanh 1 0 88 K6 g 2 HYP g tanh 1 0 88 4w 4 0 3439419141 2 4 5 Function Calculations ...

Page 74: ... x 1 4 x 1 x 1 w 8 1 2 3 8 8K6 g 1 PROB b x w 40320 3 42 3 36 42 49 w 36 42 49 What is the absolute value of the common logarithm of log 0 1249387366 K5 NUM b Abs l 3 4 w What is the integer part of K5 NUM c Int 3 5w 3 5 3 What is the decimal part of K5 NUM d Frac 3 5w 3 5 0 5 What is the nearest integer K5 NUM f Intg 3 5w not exceeding 3 5 4 2 4 6 Function Calculations 3 4 3 4 1 12 1 1 3 4 ...

Page 75: ... w number w Specifying an argument from 1 to 9 generates random numbers based on that sequence Specifying an argument of 0 initializes the sequence 1 Example Operation Ran 1 Generates the first random number in sequence 1 1 PROB e Ran bw Generates the second random number in sequence 1 w Ran 0 Initializes the sequence 1 PROB e Ran aw Ran 1 Generates the first random number in sequence 1 1 PROB e R...

Page 76: ... a range of 180 180 radians and grads have same range Be sure to specify Comp for Mode in the SET UP screen Example Operation Calculate r and when x 14 and y 20 7 u3 SET UP cccc1 Deg i K6 g 3 ANGL g Pol 14 20 7 w Calculate x and y when r 25 and 56 u3 SET UP cccc1 Deg i K6 g 3 ANGL h Rec 25 56 w 1 24 989 24 98979792 r 2 55 928 55 92839019 1 13 979 13 97982259 x 2 20 725 20 72593931 y ...

Page 77: ...for Mode in the SET UP screen Example To calculate the possible number of different arrangements using 4 items selected from among 10 items Formula Operation 10P4 5040 10K6 g 1 PROB c nPr 4w Example To calculate the possible number of different combinations of 4 items that can be selected from among 10 items Formula Operation 10C4 210 10K6 g 1 PROB d nCr 4w ...

Page 78: ...E 04 1 Norm 1 display format 1 4 Display 1 5 7 1 5 1 1 1 7 3 4 1 When the total number of characters including integer numerator denominator and delimiter marks exceeds 10 the input fraction is automatically displayed in decimal format 2 Calculations containing both fractions and decimals are calculated in decimal format 3 Pressing once when converting the decimal part of a complex number to a fra...

Page 79: ...ccc 4 Eng i 999k kilo 25k kilo 999K5 NUM g E SYM g k 255 NUM 1 024M mega g E SYM g k w 9 10 0 9 900m milli 9 10w 0 9 K6 g 6 g 6 g 3 ENG 1 0 0009k kilo 3 ENG 1 0 9 2 ENG 2 900m 2 ENG 2 1 Converts the displayed value to the next higher engineering unit by shifting the decimal point three places to the right 2 Converts the displayed value to the next lower engineering unit by shifting the decimal poi...

Page 80: ...tions Solve calculations The following is the syntax for using the Solve function in a program Solve f x n a b a lower limit b upper limit n initial estimated value There are two different input methods that can be used for Solve calculations direct assignment and variable table input With the direct assignment method the one described here you assign values directly to variables This type of inpu...

Page 81: ...al Calculation in a Graph Function Omitting the tolerance tol value when using the differential command inside of a graph function simplifies the calculation for drawing the graph In such a case precision is sacrificed for the sake of faster drawing The tolerance value is specified the graph is drawn with the same precision obtained when you normally perform a differential calculation You can also...

Page 82: ...are treated as constants and the value currently assigned to that variable is applied during the calculation Input of the tolerance tol value and the closing parenthesis can be omitted If you omit tolerance tol value the calculator automati cally uses a value for tol as 1E 10 Specify tolerance tol value of 1E 14 or less An error Iteration ERROR occurs whenever no solution that satisfies the tolera...

Page 83: ... f x a tol of a differential 2 5 4 Numerical Calculations You cannot use a differential quadratic differential integration maximum minimum value or solve calculation expression inside a differential calculation term Pressing A during calculation of a differential while the cursor is not shown on the display interrupts the calculation Always use radians Rad Mode as the angle unit when performing tr...

Page 84: ...f a Example To determine the quadratic differential coefficient at the point where x 3 for the function y x3 4x2 x 6 Here we will use a tolerance tol 1E 5 Input the function f x AK4 CALC c d2 dx2 vMd evx v g Input 3 as point a which is differential coefficient point d Input the tolerance value bE f w 2 5 5 Numerical Calculations In the function f x only X can be used as a variable in expressions O...

Page 85: ...x2 dx2 d2 sin x cos x sin 0 5 1E 8 etc dx2 You cannot use a differential quadratic differential integration maximum minimum value or Solve calculation expression inside of a quadratic differential calculation term Specify tolerance tol value of 1E 14 or less An error Iteration ERROR occurs whenever no solution that satisfies the tolerance value can be obtained You can interrupt an ongoing quadrati...

Page 86: ...shown in the illustration above integration calculations are performed by calculating integral values from a through b for the function y f x where a x b and f x 0 This in effect calculates the surface area of the shaded area in the illustration 2 5 7 Numerical Calculations Area of a b f x dx is calculated a start point b end point tol tolerance If f x 0 where a a x b the surface area calculation ...

Page 87: ... x dx etc Functions can be used in any of the terms f x a b tol of an integral cos 0 5 sin x cos x dx sin x cos x sin 0 5 cos 0 5 1E 4 sin 0 5 2 5 8 Numerical Calculations In the function f x only X can be used as a variable in expressions Other variables A through Z r are treated as constants and the value currently assigned to that variable is applied during the calculation Input of tol and clos...

Page 88: ... produce large fluctuations in integration values calculate the integration divisions separately divide the large fluctuation areas into smaller divisions and then add the results together a b f x dx a x1 f x dx x1 x2 f x dx x4 b f x dx 2 5 9 Numerical Calculations Negative part S Positive part S Pressing A during calculation of an integral while the cursor is not shown on the display interrupts t...

Page 89: ...s the distance between partitions AK4 CALC e a K x da K f a K c g b w 2 5 10 Numerical Calculations 6 k2 3k 5 k 2 You can use only one variable in the function for input sequence ak Input integers only for the initial term of sequence ak and last term of sequence ak Input of n and the closing parentheses can be omitted If you omit n the calculator automati cally uses n 1 ak k n ak a a 1 a k n dist...

Page 90: ...rms ak k sink k 1 5 etc 2 5 11 Numerical Calculations n n Sn ak Tn bk k 1 k 1 You cannot use a differential quadratic differential integration maximum minimum value or Solve calculation expression inside of a calculation term Make sure that the value used as the final term is greater than the value used as the initial term Otherwise an error will occur To interrupt an ongoing calculation indicated...

Page 91: ...um of a function within interval a x b a start point of interval b end point of interval n precision n 1 to 9 u u u u uMinimum Value K4 CALC f FMin f x a b n u u u u uMaximum Value K4 CALC g FMax f x a b n Example 1 To determine the minimum value for the interval defined by start point a 0 and end point b 3 with a precision of n 6 for the function y x2 4x 9 Input f x AK4 CALC f FMin vx ev j Input ...

Page 92: ...m calculation term Inputting a larger value for n increases the precision of the calculation but it also increases the amount of time required to perform the calculation The value you input for the end point of the interval b must be greater than the value you input for the start point a Otherwise an error occurs You can interrupt an ongoing maximum minimum calculation by pressing the A key You ca...

Page 93: ... format 2 Press K3 CPLX to display the complex calculation number menu which contains the following items Abs Arg obtains absolute value argument Conjg obtains conjugate ReP ImP real number imaginary number part extraction re i a bi converts the result to polar linear 2 6 1 Complex Number Calculations 1 When there is an imaginary number in the argument however complex number calculation is perform...

Page 94: ...solute value Z and argument arg Example To calculate absolute value r and argument for the complex number 3 4i with the angle unit set for degrees AK3 CPLX b Abs d e a i w Calculation of absolute value AK3 CPLX c Arg d e a i w Calculation of argument The result of the argument calculation differs in accordance with the current angle unit setting degrees radians grads Imaginary number axis Real num...

Page 95: ... part extraction AK3 CPLX f ImP c f a i w Imaginary part extraction 2 6 3 Complex Number Calculations The input output range of complex numbers is normally 10 digits for the mantissa and two digits for the exponent When a complex number has more than 21 digits the real number part and imaginary number part are displayed on separate lines When either the real number part or imaginary number part of...

Page 96: ...LX re i Use the following procedure to transform a complex number displayed in rectangular form to polar form and vice versa Example To transform the rectangular form of complex number 1 3 i to its polar form Ab x d a i K3 CPLX g re i w 2 6 4 Complex Number Calculations ...

Page 97: ...ter a value that is invalid for the number system binary octal decimal hexadecimal you are using the calculator displays an error message The following shows the numerals that can be used in each number system Binary 0 1 Octal 0 1 2 3 4 5 6 7 Decimal 0 1 2 3 4 5 6 7 8 9 Hexadecimal 0 1 2 3 4 5 6 7 8 9 A B C D E F Negative binary octal and hexadecimal values are produced using the two s complement ...

Page 98: ...ive 80000000 x FFFFFFFF u u u u u To perform a binary octal decimal or hexadecimal calculation 1 In the main menu select RUN MAT SET UP Mode Dec Hex Bin Oct 2 Press u3 SET UP and then specify the default number system by pressing 2 Dec 3 Hex 4 Bin or 5 Oct 3 Press i to change to the screen for calculation input This causes a function menu with the following items to appear d o LOGIC DISP SYBL numb...

Page 99: ...l value you input Press 1 d o to display a menu of number system symbols Press the function key that corresponds to the symbol you want to select and then input the value d h b o decimal hexadecimal binary octal u u u u u To input values of mixed number systems Example To input 12310 or 10102 when the default number system is hexadecimal u3 SET UP 3 Hex i A1 d o b d bcdw 1 d o d b babaw k k k k k ...

Page 100: ...Logical Operations Press 2 LOGIC to display a menu of negation and logical operators Neg negation Not and or xor xnor NOT AND OR XOR XNOR u Negative Values Example To determine the negative of 1100102 u3 SET UP 4 Bin i A2 LOGIC b Neg bbaabaw uLogical Operations Example 1 To input and execute 12016 and AD16 u3 SET UP 3 Hex i Abca2 LOGIC d and ADw 2 7 4 Binary Octal Decimal and Hexadecimal Calculati...

Page 101: ...ss 3 DISP to display a menu of number system transformation functions Dec Hex Bin Oct transformation of displayed value to its decimal hexadecimal binary octal equivalent u To convert a displayed value from one number system to another Example To convert 2210 default number system to its binary or octal value Au3 SET UP 2 Dec i 1 d o b d ccw 3 DISP d Bin w 3 DISP e Oct w 2 7 5 Binary Octal Decimal...

Page 102: ...x modification using matrix commands Absolute value argument complex conjugate calculation for a matrix with complex number components Real number part and complex number part extraction of a matrix with complex number components The maximum number of rows that can be specified for a matrix is 255 and the maximum number of columns is 255 About Matrix Answer Memory MatAns The calculator automatical...

Page 103: ...trix list Then you can input values into the matrix u To specify the dimensions size of a matrix Example To create a 2 row 3 column matrix in the area named Mat B Highlight Mat B c 1 DIM Specify the number of rows cw Specify the number of columns dw w All of the cells of a new matrix contain the value 0 2 8 2 Matrix Calculations If Memory ERROR remains next to the matrix area name after you input ...

Page 104: ...gits and negative integers up to five digits one digit used for the negative sign Exponential values are shown with up to two digits for the exponent Fractional values are not displayed You can see the entire value assigned to a cell by using the cursor keys to move the highlight ing to the cell whose value you want to view The amount of memory required for a matrix is 9 bytes per cell This means ...

Page 105: ...es to delete the matrix or i No to abort the operation without deleting anything u To delete all matrices 1 While the Matrix list is on the display press 3 DEL A 2 Press w Yes to delete all matrices in memory or i No to abort the operation without deleting anything 2 8 4 Matrix Calculations The indicator None replaces the dimensions of the matrix you delete Inputting the format or changing the dim...

Page 106: ...EDIT cell editing screen R OP row operation menu R DEL R INS R ADD row delete insert add C DEL C INS C ADD column delete insert add All of the following examples use Matrix A u Row Calculations The following menu appears whenever you press 2 R OP while a recalled matrix is on the display Swap row swap Row scalar product of specified row Row addition of scalar product of specified row to another ro...

Page 107: ...w 6 EXE orw u u u u u To calculate the scalar product of a row and add the result to another row Example To calculate the scalar product of row 2 of the following matrix multiplying by 4 and add the result to row 3 1 2 Matrix A 3 4 5 6 2 R OP d Row Input multiplier value ew Specify number of row whose scalar product should be calculated cw Specify number of row where result should be added dw 6 EX...

Page 108: ...ix A 3 4 5 6 2 R OP e Row Specify number of row to be added cw Specify number of row to be added to dw 6 EXE orw u Row Operations R DEL delete row R INS insert row R ADD add row u To delete a row Example To delete row 2 of the following matrix 1 2 Matrix A 3 4 5 6 c 3 R DEL 2 8 7 Matrix Calculations ...

Page 109: ...e To insert a new row between rows one and two of the following matrix 1 2 Matrix A 3 4 5 6 c 4 R INS u To add a row Example To add a new row below row 3 of the following matrix 1 2 Matrix A 3 4 5 6 cc 5 R ADD 2 8 8 Matrix Calculations ...

Page 110: ... INS insert column C ADD add column u To delete a column Example To delete column 2 of the following matrix 1 2 Matrix A 3 4 5 6 e 6 g 1 C DEL u To insert a column Example To insert a new column between columns 1 and 2 of the following matrix 1 2 Matrix A 3 4 5 6 e 6 g 2 C INS ...

Page 111: ...splay the option menu 3 Press 2 MAT to display the matrix command menu The following describes only the matrix command menu items that are used for creating matrices and inputting matrix data Mat Mat command matrix specification Dim Dim command dimension check Augmnt Augment command link two matrices Ident Identity command identity matrix input Fill Fill command identical cell values M List Mat Li...

Page 112: ...1 a22 a2n am1 am2 amn Mat letter A through Z Example 1 To input the following data as Matrix A 1 3 5 2 4 6 b d f c e g aK2 MAT b Mat av A w 2 8 11 Matrix Calculations You can also use c Mat in place of K2 MAT b Mat The maximum value of both m and n is 255 An error occurs if memory becomes full as you are inputting data You can also use the above format inside a program that inputs matrix data Matr...

Page 113: ...trix OPTN MAT Dim Use the Dim command to check the dimensions of an existing matrix Example 3 To check the dimensions of Matrix A which was input in Example 1 K2 MAT c Dim 2 MAT b Mat av A w The display shows that Matrix A consists of two rows and three columns You can also use Dim to specify the dimensions of the matrix Example 4 To specify dimensions of 2 rows and 3 columns for Matrix B c d a K2...

Page 114: ...t file u To assign values to and recall values from an existing matrix OPTN MAT Mat Use the following format with the Mat command to specify a cell for value assignment and recall Mat X m n X matrix name A through Z or Ans m row number n column number Example 1 Assign 10 to the cell at row 1 column 2 of the following matrix 1 2 Matrix A 3 4 5 6 baaK2 MAT b Mat av A b c w Example 2 Multiply the val...

Page 115: ...e two existing matrices into a single matrix Example 1 To fill all of the cells of Matrix A with the value 3 K2 MAT h Fill d 2 MAT b Mat av A w 2 MAT b Mat av A w Example 2 To combine the following two matrices A 1 B 3 2 4 K2 MAT f Augmnt 2 MAT b Mat av A 2 MAT b Mat al B w 2 8 14 Matrix Calculations The two matrices you combine must have the same number of rows An error occurs if you try to combi...

Page 116: ...ng matrix to list 1 1 2 Matrix A 3 4 5 6 K2 MAT i M List 2 MAT b Mat av A c aK1 LIST b List bw K1 LIST b List w You can also use b List in place of K1 LIST b List You can use Matrix Answer Memory to assign the results of the above matrix input and edit operations to a matrix variable To do so use the following syntax Fill n Mat Mat Augment Mat Mat Mat 2 8 15 Matrix Calculations In the above and ar...

Page 117: ... menu 3 Press 2 MAT to display the matrix command menu The following describes only the matrix commands that are used for matrix arithmetic operations Mat Mat command matrix specification Det Det command determinant command Trn Trn command transpose matrix command Ident Identity command identity matrix input All of the following examples assume that matrix data is already stored in memory 2 8 16 M...

Page 118: ...ltiply Matrix A from Example 1 by a 2 2 identity matrix AK2 MAT b Mat av A 2 MAT g Ident cw Number of rows and columns The two matrices must have the same dimensions in order to be added or subtracted An error occurs if you try to add or subtract matrices of different dimensions For multiplication Matrix 1 Matrix 2 the number of columns in Matrix 1 must match the number of rows in Matrix 2 Otherwi...

Page 119: ...trix 1 2 Matrix A 3 4 5 6 K2 MAT e Trn 2 MAT b Mat av A w 2 8 18 Matrix Calculations Determinants can be obtained only for square matrices same number of rows and columns Trying to obtain a determinant for a matrix that is not square produces an error The determinant of a 2 2 matrix is calculated as shown below The determinant of a 3 3 matrix is calculated as shown below A a11 a12 a11a22 a12a21 a2...

Page 120: ...olumns can be inverted Trying to invert a matrix that is not square produces an error A matrix with a determinant of zero cannot be inverted Trying to invert a matrix with determinant of zero produces an error Calculation precision is affected for matrices whose determinant is near zero A matrix being inverted must satisfy the conditions shown below The following shows the formula used to invert M...

Page 121: ...re subject to error due to dropped digits Matrix operations are performed individually on each cell so calculations may require considerable time to complete The calculation precision of displayed results for matrix calculations is 1 at the least significant digit If a matrix calculation result is too large to fit into Matrix Answer Memory an error occurs You can use the following operation to tra...

Page 122: ...19990401 ...

Page 123: ...atistical calculations and for graphing 3 1 Inputting and Editing a List 3 2 Manipulating List Data 3 3 Arithmetic Calculations Using Lists 3 4 Switching Between List Files Chapter 3 List 1 List 2 List 3 List 4 List 5 List 20 1 56 1 107 3 5 4 0 2 37 2 75 6 0 0 3 21 4 122 2 1 0 0 4 69 8 87 4 4 2 0 5 40 16 298 3 0 0 6 48 32 48 6 8 3 0 7 93 64 338 2 9 0 8 30 128 49 8 7 0 0 Element number Display rang...

Page 124: ...ocated at either edge of the screen The following example is performed starting with the highlighting located at Cell 1 of List 1 1 Input a value and press w to store it in the list dw The highlighting automatically moves down to the next cell for input 2 Input the value 4 in the second cell and then input the result of 2 3 in the next cell ewc dw 3 1 1 Inputting and Editing a List You can also in...

Page 125: ...into another cell The following example shows how to add the values in each row in List 1 and List 2 and input the result into List 3 1 Use the cursor keys to move the highlighting to the name of the list where you want the calculation results to be input 2 Press K and input the expression K1 LIST b List b K1 LIST b List cw 3 1 2 Inputting and Editing a List You can also use b List in place of K1 ...

Page 126: ... 6 2 EDIT to display the contents of the cell at the bottom of the screen 3 Make any changes in the data you want u u u u u To delete a cell 1 Use the cursor keys to move the highlighting to the cell you want to delete 2 Press 3 DEL to delete the selected cell and cause everything below it to be shifted up 3 1 3 Inputting and Editing a List The cell delete operation does not affect cells in other ...

Page 127: ...he delete operation without deleting anything u u u u u To insert a new cell 1 Use the cursor keys to move the highlighting to the location where you want to insert the new cell 2 Press 5 INS to insert a new cell which contains a value of 0 causing everything below it to be shifted down The cell insert operation does not affect cells in other lists If the data in the list where you insert a cell i...

Page 128: ...ess 6 1 SORT b SortA 2 The prompt How Many Lists appears to ask how many lists you want to sort Here we will input 1 to indicate we want to sort only one list bw 3 In response to the Select List List No prompt input the number of the list you want to sort bw Descending order Use the same procedure as that for the ascending order sort The only difference is that you should press c SortD in place of...

Page 129: ...Ascending order 1 While the lists are on the screen press 6 1 SORT b SortA 2 The prompt How Many Lists appears to ask how many lists you want to sort Here we will sort one base list linked to one other list so we should input 2 cw 3 In response to the Select Base List List No prompt input the number of the list you want to sort into ascending order Here we will specify List 1 bw 4 In response to t...

Page 130: ... a value from 1 to 6 as the number of lists for sorting If you specify a list more than once for a single sort operation an error occurs An error also occurs if lists specified for sorting do not have the same number of values rows Specifying a value of 0 for the number of lists causes all the lists in the file to be sorted In this case you specify a base list on which all other lists in the file ...

Page 131: ...owing items List Dim Seq Min Max Mean Median Sum Prod Cuml A A A A AList Augmnt Fill L Mat Note that all closing parentheses at the end of the following operations can be omitted u To count the number of data items in a list OPTN LIST Dim K1 LIST c Dim 1 LIST b List list number 1 20 w The number of cells a list contains is its dimension Example To count the number of values in List 1 36 16 58 46 5...

Page 132: ...mber of column n a K1 LIST c Dim 2 MAT b Mat a matrix name w m n 1 255 matrix name A Z Example To create a 2 row 3 column matrix each cell of which contains 0 in Matrix A A c d a K1 LIST c Dim 2 MAT b Mat av A w The following shows the new contents of Mat A u To replace all data items with the same value OPTN LIST Fill K1 LIST c Fill value 1 LIST b List list number 1 20 w Example To replace all da...

Page 133: ...nd an increment of 5 AK1 LIST d Seq vx v b bb f w Specifying an ending value of 12 13 14 or 15 produces the same result as shown above because all of them are less than the value produced by the next increment 16 u To find the minimum value in a list OPTN LIST Min K1 LIST e Min 1 LIST b List list number 1 20 w Example To find the minimum value in List 1 36 16 58 46 56 AK1 LIST e Min 1 LIST b List ...

Page 134: ...ss f Max in place of e Min The two lists must contain the same number of data items If they don t an error occurs u To calculate the mean of data items OPTN LIST Mean K1 LIST g Mean 1 LIST b List list number 1 20 w Example To calculate the mean of data items in List 1 36 16 58 46 56 AK1 LIST g Mean 1 LIST b List b w u To calculate the mean of data items of specified frequency OPTN LIST Mean This p...

Page 135: ...ied frequency OPTN LIST Med This procedure uses two lists one that contains values and one that indicates the frequency number of occurrences of each value The frequency of the data in Cell 1 of the first list is indicated by the value in Cell 1 of the second list etc The two lists must contain the same number of data items If they don t an error occurs K1 LIST h Median 1 LIST b List list number 1...

Page 136: ... 1 LIST b List list number 1 20 w Example To calculate the cumulative product of the data in List 1 2 3 6 5 4 AK1 LIST j Prod 1 LIST b List bw u To calculate the cumulative frequency of each data item OPTN LIST Cuml K1 LIST v Cuml 1 LIST b List list number 1 20 w The result of this operation is stored in ListAns Memory Example To calculate the cumulative frequency of each data item in List 1 2 3 6...

Page 137: ...ration is stored in ListAns memory Example To calculate the difference between the data items in List 1 1 3 8 5 4 AK1 LIST I AList bw 3 2 7 Manipulating List Data You can specify the location of the new list List 1 through List 20 with a statement like A List 1 List 2 You cannot specify another memory or ListAns as the destination of the A List operation An error also occurs if you specify a A Lis...

Page 138: ...AK1 LIST s Augmnt 1 LIST b List b 1 LIST b List c w u To transfer list contents to Matrix Answer Memory OPTN LIST L Mat K1 LIST t L Mat 1 LIST b List list number 1 20 1 LIST b List list number 1 20 w You can skip input 1 LIST b List in the part of the above operation Example List Mat 1 2 w Example To transfer the contents of List 1 2 3 6 5 4 to column 1 and the contents of List 2 11 12 13 14 15 to...

Page 139: ...ns An error occurs whenever an operation involving any two cells generates a mathematical error k Inputting a List into a Calculation There are two methods you can use to input a list into a calculation u To input a specific list by name 1 Press K to display the first Operation Menu This is the function key menu that appears in theRUN MAT Mode when you press K 2 Press 1 LIST to display the List Da...

Page 140: ...0 is stored in ListAns Memory 88 u To assign the contents of one list to another list Use a to assign the contents of one list to another list Example 1 To assign the contents of List 3 to List 1 K1 LIST b List da1 LIST b List bw In place of K1 LIST b List d operation in the above procedure you could input eb gf cc Example 2 To assign the list in ListAns Memory to List 1 K1 LIST b List Ans a1 LIST...

Page 141: ...e you input Example To input the value 25 into Cell 2 of List 3 cfaK1 LIST b List d c w k Recalling List Contents Example To recall the contents of List 1 K1 LIST b List bw The above operation displays the contents of the list you specify and also stores them in ListAns Memory You can then use the ListAns Memory contents in a calculation u To use list contents in ListAns Memory in a calculation Ex...

Page 142: ...c function calculations into a list To do this first generate a table and then use the list copy function to copy the values from the table to the list k Performing Scientific Function Calculations Using a List Lists can be used just as numeric values are in scientific function calculations When the calculation produces a list as a result the list is stored in ListAns Memory 41 Example To use List...

Page 143: ...List 1 2 and List 2 5 to perform List 1List 2 3 6 This creates a list with the results of 14 25 36 K1 LIST b List bM1 LIST b List cw 1 The resulting list 32 is stored in ListAns Memory 729 3 3 5 Arithmetic Calculations Using Lists ...

Page 144: ...switch between list files u To switch between list files 1 From the Main Menu enter the STAT Mode Press u3 SET UP to display the STAT Mode SET UP screen 2 Press 1 FILE and then input the number of the list file you want to use Example To select File 3 1 FILE d w All subsequent list operations are applied to the lists contained in the file you select List File 3 in the above example ...

Page 145: ...ltaneous linear equations High degree equations Solve calculations From the Main Menu enter the EQUA Mode SIML linear equation with 2 to 30 unknowns POLY degree 2 to 30 equations SOLV solve calculation 4 1 Simultaneous Linear Equations 4 2 High Degree Equations 4 3 Solve Calculations 4 4 What to Do When an Error Occurs 4 ...

Page 146: ...y input the coefficients The cell that is currently selected for input is highlighted Each time you input a coefficient the highlighting shifts in the sequence a1 b1 c1 an bn cn n 2 to 30 You can also input fractions complex numbers and values assigned to variables as coefficients You can cancel the value you are inputting for the current coefficient by pressing i at any time before you press w to...

Page 147: ...inear equations are solved by inverting the matrix containing the coefficients of the equations For example the following shows the solution x1 x2 x3 of a simultane ous linear equation with three unknowns x1 a1 b1 c1 1 d1 x2 a2 b2 c2 d2 x3 a3 b3 c3 d3 Because of this precision is reduced as the value of the determinant approaches zero Also simultaneous equations with three or more unknowns may tak...

Page 148: ...fy the degree of the equation You can specify a degree from 2 to 30 To specify a degree greater than three press 3 n and then input a value 3 Sequentially input the coefficients The cell that is currently selected for input is highlighted Each time you input a coefficient the highlighting shifts in the sequence a b c You can also input fractions complex numbers and values assigned to variables as ...

Page 149: ...19990401 4 2 2 High Degree Equations Example To solve the cubic equation x3 2x2 x 2 0 Procedure 1 m EQUA 2 2 POLY 2 3 3 bw cw bwcw 4 6 SOLV Result Screen Multiple Solutions Complex Number Solution ...

Page 150: ...ify values for Upper and Lower to define the upper and lower limits of the range of solutions 2 4 Select the variable for which you want to solve to obtain the solution Lft and Rgt indicate the left and right sides that are calculated using the solution 3 1 An error occurs if you input more than one equals sign 2 An error occurs if the solution falls outside the range you specify 3 Solutions are a...

Page 151: ...ach height H Use the following formula to solve for initial velocity V when H 14 meters T 2 seconds and gravitational acceleration is G 9 8 m s2 H VT 1 2 GT2 Procedure 1 m EQUA 2 3 SOLV ax H ac V a T b c a G a T xw 3 bew H 14 aw V 0 cw T 2 j iw G 9 8 4 Press f to highlight V 0 and then press 6 SOLV Result Screen ...

Page 152: ...or the coefficients again 4 4 1 What to Do When an Error Occurs k k k k k Clearing Equation Memories 1 Enter the equation calculation mode SIML or POLY you want to use and perform the function key operation required for that mode In the case of the SIML Mode 1 use number keys to specify the number of unknowns In the case of the POLY Mode 2 use number keys to specify the degree of the polynomial If...

Page 153: ...hing or number table generation CONICS Implicit function graphing 5 1 5 5 1 6 5 11 17 5 11 21 RUN MAT Manual graphing 5 6 1 5 6 4 DYNA Dynamic Graph 5 8 1 5 8 6 RECUR Recursion graphing or number table generation 5 9 1 5 9 8 5 1 Sample Graphs 5 2 Controlling What Appears on a Graph Screen 5 3 Drawing a Graph 5 4 Storing a Graph in Picture Memory 5 5 Drawing Two Graphs on the Same Screen 5 6 Manual...

Page 154: ...h 1 Description To draw a graph simply input the applicable function Set Up 1 From the Main Menu enter the GRPH TBL Mode Execution 2 Input the function you want to graph Here you would use the V Window to specify the range and other parameters of the graph See 5 2 1 3 Draw the graph ...

Page 155: ...19990401 5 1 2 Sample Graphs Example To graph y 3x2 Procedure 1 m GRPH TBL 2 dvxw 3 5 DRAW or w Result Screen ...

Page 156: ...s rectangular coordinate expression polar coordinate expression parametric function X constant expression inequality 3 TYPE b Y rectangular coordinates c r polar coordinates d Param parametric function e X c X constant function f INEQUA b Y e Y inequality Repeat this step as many times as required to input all of the functions you want Next you should specify which of the functions among those tha...

Page 157: ...0401 5 1 4 Sample Graphs Example Input the functions shown below and draw their graphs Y1 2x2 3 r2 3sin2 Procedure 1 m GRPH TBL 2 3 TYPE b Y cvx dw 3 TYPE c r dscvw 3 5 DRAW Result Screen Param INEQUA Plot ...

Page 158: ...1 From the Main Menu enter the CONICS Mode Execution 2 Use the cursor fc keys to specify one of the function type as follows 3 Input values for the required variables 4 Graph the function Graph Type Function Parabola X A Y K 2 H X AY2 BY C Y A X H 2 K Y AX2 BX C Circle X H 2 Y K 2 R2 AX2 AY2 BX CY D 0 Ellipse X H 2 Y K 2 1 A2 B2 Hyperbola X H 2 Y K 2 1 A2 B2 Y K 2 X H 2 1 A2 B2 ...

Page 159: ...19990401 5 1 6 Sample Graphs Example Graph the circle X 1 2 Y 1 2 22 Procedure 1 m CONICS 2 ccccw 3 bwbwcw 4 6 DRAW Result Screen Parabola Ellipse Hyperbola ...

Page 160: ...xis increments Xdot Value that corresponds to one x axis dot Ymin Minimum y axis value Ymax Maximum y axis value Yscale Spacing of y axis increments Polar coordinate parameter T min T minimum values T max T maximum values T ptch T pitch 3 Press c to move the highlighting and input an appropriate value for each parameter pressing w after each INIT TRIG STD V Window initial settings initial settings...

Page 161: ...hanging the V Window settings clears the graph currently on the display and replaces it with the new axes only Changing the Xmin or Xmax value causes the Xdot value to be adjusted automatically Changing the Xdot value causes the Xmax value to be adjusted automatically A polar coordinate r or parametric graph will appear coarse if the settings you make in the V Window cause the T pitch value to be ...

Page 162: ...ng with an angle unit Xmin 3 rad Xmax 3 rad Xscale 2 rad Xdot 21 rad Ymin 1 6 Ymax 1 6 Yscale 0 5 u To standardize the V Window The following are the standard V Window settings of this calculator Xmin 10 Xmax 10 Xscale 1 Xdot 0 15873015 Ymin 10 Ymax 10 Yscale 1 T min 0 T max 2 rad T ptch 2 60 rad In step 3 of the procedure under To initialize the V Window above press 3 STD to standardize V Window ...

Page 163: ... settings in V Window Memory 1 V Win1 u To recall V Window memory settings 1 From the Main Menu enter the GRPH TBL Mode 2 Press K V Window to display the V Window setting screen 3 Press 5 RCL to display the pop up window 4 Press a number key to specify the V Window memory number for the settings you want to recall and then press w Pressing bw recalls the settings in V Window Memory 1 V Win1 5 2 4 ...

Page 164: ... function before graphing it Set Up 1 From the Main Menu enter the GRPH TBL Mode 2 Make V Window settings Execution 3 Specify the function type and input the function The following is the syntax for function input Function Start Point End Point 4 Draw the graph 5 2 5 Controlling What Appears on a Graph Screen ...

Page 165: ... Use the following V Window settings Xmin 3 Xmax 5 Xscale 1 Ymin 10 Ymax 30 Yscale 5 Procedure 1 m GRPH TBL 2 K V Window dwfwbwc bawdawfwi 3 3 TYPE b Y vx dv c c e w 4 5 DRAW Result Screen You can specify a range when graphing rectangular expressions polar expressions parametric functions and inequalities ...

Page 166: ... opera tion h Square Graph correction V Window x axis values are corrected so they are identical to the y axis values i Rnd Coordinate rounding Rounds the coordinate values at the current pointer location j Intg Integer Each dot is given a width of 1 which makes coordinate values integers v Pre Previous V Window parameters are returned to what they were prior to the last zoom operation l QUICK Qui...

Page 167: ... specify a straight line for the box zoom box Example Graph y x 5 x 4 x 3 and then perform a box zoom Use the following V Window settings Xmin 8 Xmax 8 Xscale 2 Ymin 4 Ymax 2 Yscale 1 Procedure 1 m GRPH TBL K V Window iwiwcwc ewcwbwi 3 TYPE b Y v f v e v d w 5 DRAW 2 2 ZOOM b Box 3 d dw 4 d d f fw Result Screen ...

Page 168: ...ess 2 ZOOM c Factor to open a pop up window for specifying the x axis and y axis zoom factor Input the values you want and then press i 3 Press 2 ZOOM d In to enlarge the graph or 2 ZOOM e Out to reduce it The graph is enlarged or reduced centered on the current pointer location 4 Use the cursor keys to move the cursor to the point upon which you want the zoom operation to be centered and then pre...

Page 169: ... to see if they are tangent Y1 x 4 x 1 x 3 Y2 3x 22 Use the following V Window settings Xmin 8 Xmax 8 Xscale 1 Ymin 30 Ymax 30 Yscale 5 Procedure 1 m GRPH TBL K V Window iwiwbwc dawdawfwi 3 TYPE b Y v e v b v d w dv ccw 5 DRAW 2 2 ZOOM c Factor fwfwi 3 2 ZOOM d In 4 f f d dw Result Screen You can repeat factor zoom to enlarge or reduce a graph even further ...

Page 170: ...it possible to view part of a graph hidden behind it When you are using the trace function or other functions during which the function menu is normally not displayed you can turn on the menu display to execute a menu command 5 2 11 Controlling What Appears on a Graph Screen If a pull up menu is open when you press u a to turn off menu display the pull up menu remains on the screen ...

Page 171: ...lc Window 5 2 12 Controlling What Appears on a Graph Screen After using the Calc Window to change the value of a variable connected with a graph or table be sure to always execute Re G re graph or Re T re calculate table Doing so ensures that the displayed graph or table is current Calc Window cannot be used in the RUN MAT Mode while a program is running or in combination with Dynamic Graph Calc W...

Page 172: ...Graph Functions u To store a rectangular coordinate function Y 2 Example To store the following expression in memory area Y1 y 2x2 5 3 TYPE b Y Specifies rectangular coordinate expression cvx f Inputs expression w Stores expression u To store a polar coordinate function r 2 Example To store the following expression in memory area r2 r 5 sin3 3 TYPE c r Specifies polar coordinate expression fsdv In...

Page 173: ...e an inequality 2 Example To store the following inequality in memory areaY5 y x2 2x 6 3 TYPE f INEQUA b Y Specifies an inequality vx cv g Inputs expression w Stores expression 1You will not be able to store the expression in an area that already contains a rectangular coordinate expression polar coordinate expression X constant expression or inequality Select another area to store your expression...

Page 174: ...t the function type you to change to Example To change the function in memory area Y1 from y 2x2 3 to y 2x2 3 3 TYPE g CONV d Y Changes the function type to Y u To delete a function 1 While the Graph function list is on the display press f or c to move the highlighting to the area that contains the function you want to delete 2 Press 2 DEL or D 3 Press w Yes to delete the function for i No to abor...

Page 175: ...on for which you want to specify non draw 1 SEL Specifies non draw 5 DRAW or w Draws graphs Each press of 1 SEL toggles a graph between draw and non draw Pressing u5 G T or i returns to the Graph function list You can use the SET UP screen settings to alter the appearance of the graph screen as shown below Grid On This setting causes dots to appear at the grid intersects on the display Axes Off Th...

Page 176: ...h function and then press w Pressing bw stores the graph function to Graph Memory 1 G Mem1 There are 20 graph memories numbered G Mem1 to G Mem20 u To recall a graph function 1 Press 5 GMEM c Recall to display the pop up window 2 Press a number key to specify the Graph memory for the function you want to recall and then press w Pressing bw recalls the graph function in Graph Memory 1 G Mem1 5 3 5 ...

Page 177: ...ure function to Picture Memory 1 Pict 1 There are 20 picture memories numbered Pict 1 to Pict 20 u To recall a stored graph 1 After graphing in GRPH TBL Mode press 6 g 1 PICT c Recall to display the pop up window 2 Press a number key to specify the Picture memory for the picture you want to recall and then press w Pressing bw recalls the picture function in Picture Memory 1 Pict 1 5 4 1 Storing a ...

Page 178: ...drawn from a function u u u u u Sub screen The graph on the sub screen is produced by copying or zooming the main screen graph You can even make different V Window settings for the sub screen and main screen Set Up 1 From the Main Menu enter the GRPH TBL Mode 2 On the SET UP screen select G G for Dual Screen 3 Make V Window settings for the main screen Press 6 RIGHT to display the sub graph settin...

Page 179: ...creen Xmin 2 Xmax 2 Xscale 0 5 Ymin 2 Ymax 2 Yscale 1 Sub screen Xmin 4 Xmax 4 Xscale 1 Ymin 3 Ymax 3 Yscale 1 Procedure 1 m GRPH TBL 2 u3 SET UP ccc2 G G i 3 K V Window cwcwa fwc cwcwbw 6 RIGHT ewewbwc dwdwbwi 4 3 TYPE b Y v v b v b w 5 DRAW 5 6 g 4 COPY Result Screen 5 5 2 Drawing Two Graphs on the Same Screen ...

Page 180: ... to display the sub graph settings screen Pressing 6 LEFT returns to the main screen setting screen Execution 4 Store the functions for the main screen and sub screen 5 Select the function of the graph that you want to eventually have in the sub screen 6 Draw the graph in the main screen 7 Swap the main screen and sub screen contents 8 Return to the function screen 9 Select the function of the nex...

Page 181: ...Xmax 4 Xscale 1 Ymin 5 Ymax 5 Yscale 1 Sub screen Xmin 2 Xmax 2 Xscale 0 5 Ymin 2 Ymax 2 Yscale 1 Procedure 1 m GRPH TBL 2 u3 SET UP ccc2 G G i 3 K V Window ewewbwc fwfwbw 6 RIGHT cwcwa fwc cwcwbwi 4 3 TYPE b Y v v b v b w cvx dw 5 ff1 SEL 6 5 DRAW 7 6 g 5 SWAP 8 i 9 1 SEL 0 5 DRAW Result Screen 5 5 4 Drawing Two Graphs on the Same Screen ...

Page 182: ...t to the sub screen Set Up 1 From the Main Menu enter the GRPH TBL Mode 2 On the SET UP screen select G G for Dual Screen 3 Make V Window settings for the main screen Execution 4 Input the function and draw the graph in the main screen 5 Use Zoom to enlarge the graph and then move it to the sub screen 5 5 5 Drawing Two Graphs on the Same Screen ...

Page 183: ... it Use the following V Window settings Main Screen Xmin 2 Xmax 2 Xscale 0 5 Ymin 2 Ymax 2 Yscale 1 Procedure 1 m GRPH TBL 2 u3 SET UP ccc2 G G i 3 K V Window cwcwa fwc cwcwbwi 4 3 TYPE b Y v v b v b w 5 DRAW 5 2 ZOOM b BOX c ce ew f fd dw Result Screen 5 5 6 Drawing Two Graphs on the Same Screen ...

Page 184: ...raph Description Inputting the Graph command in the RUN MAT Mode enables drawing of rectangular coordinate graphs Set Up 1 From the Main Menu enter the RUN MAT Mode 2 Make V Window settings Execution 3 Input the commands for drawing the rectangular coordinate graph 4 Input the function ...

Page 185: ...xample Graph y 2x2 3x 4 Use the following V Window settings Xmin 5 Xmax 5 Xscale 2 Ymin 10 Ymax 10 Yscale 2 Procedure 1 m RUN MAT 2 K V Window fwfwcwc bawbawfwi 3 K6 g 6 g 2 SKTCH b Cls w 2 SKTCH e GRAPH b Y 4 cvx dv ew Result Screen ...

Page 186: ...aphing of functions produced by an integration calculation The calculation result is shown in the lower left of the display and the calculation range is blackened in the graph Set Up 1 From the Main Menu enter the RUN MAT Mode 2 Make V Window settings Execution 3 Input graph commands for the integration graph 4 Input the function ...

Page 187: ... x 2 x 1 x 3 dx using 10 as the number of divisions Use the following V Window settings Xmin 4 Xmax 4 Xscale 1 Ymin 8 Ymax 12 Yscale 5 Procedure 1 m RUN MAT 2 K V Window ewewbwc iwbcwfwi 3 K6 g 6 g 2 SKTCH b Cls w 2 SKTCH e GRAPH c dx 4 v c v b v d c b baw Result Screen 1 2 ...

Page 188: ...to a variable contained in an expres sion and overwrite the resulting graphs on the screen Set Up 1 From the Main Menu Enter GRPH TBL Mode 2 Make V Window settings Execution 3 Specify the function type and input the function The following is the syntax for function input Expression containing one variable variable value value value 4 Draw the graph ...

Page 189: ... b b w 4 5 DRAW Result Screen The value of only one of the variables in the expression can change Any of the following cannot be used for the variable name X Y r T You cannot assign a variable to the variable inside the function When Simul Graph is turned on all of the graphs for the specified variable values are drawn simultaneously Overwrite can be used when graphing rectangular expressions pola...

Page 190: ... method With this method you specify the conditions for the change in value of the variable List With this method the data in the list you specify is substituted for the x variable to generate a number table u To generate a table using a table range Example To generate a table as the value of variable x changes from 3 to 3 in increments of 1 6 g 2 RANG dwdwbw The numeric table range defines the co...

Page 191: ...item of the SET UP screen uGenerating a Table Example To generate a table of values for the functions stored in memory areas Y1 and Y3 of the Graph function list Use f and c to move the highlighting to the function you want to select for table genera tion and press 1 SEL to select it The sign of selected functions is highlighted on the screen To deselect a function move the cursor to it and press ...

Page 192: ...ting of SET UP screen s Derivative item to On causes a number table that includes the derivative to be displayed whenever you generate a number table uSpecifying the function type You can specify a function as being one of three types 2 Rectangular coordinate Y Polar coordinate r Parametric Param 1 Press 3 TYPE while the function list is on the screen 2 Press the number key that corresponds to the...

Page 193: ...move the cursor to the location of the change eeeeeDf w 6 g 5 TABL The Function Link Feature automatically reflects any changes you make to functions in the GRPH TBL Mode list and DYNA Mode list u To delete a function 1 Use f and c to move the highlighting to the function you want to delete and then press 2 DEL or D 2 Press w Yes to delete the function or i No to abort the operation without deleti...

Page 194: ... A delete table Re T regenerate table from function G CON G PLT connected type draw plot type graph draw R DEL R INS R ADD delete insert add row u To change variable values in a table Example To change the value in Column x Row 3 of the table generated on page 5 7 2 from 1 to 2 5 cc c fw When you change a variable value in Column x all values in the columns to the right are recalculated and displa...

Page 195: ...s uRow Operations u To delete a row Example To delete Row 2 of the table generated on page 5 7 2 c 6 g 1 R DEL u To insert a row Example To insert a new row between Rows 1 and 2 in the table generated on page 5 7 2 c 6 g 2 R INS ...

Page 196: ...Example To add a new row below Row 7 in the table generated on page 5 7 2 cccccc 6 g 3 R ADD uDeleting a Table 1 Display the table and then press 2 DEL A 2 Press w Yes to delete the table or i No to abort the operation without deleting anything ...

Page 197: ...opy the contents of a numeric table column into a list u To copy a table to a list Example To copy the contents of Column x into List 1 K1 LMEM You can select any row of the column you want to copy Input the number of the list you want to copy and then press w bw 5 7 8 Using Tables ...

Page 198: ... settings Execution 3 Store the functions 4 Specify the table range 5 Generate the table 6 Select the graph type and draw it 4 G CON line graph 1 5 G PLT plot type graph 1 2 5 7 9 Using Tables 1 After drawing the graph pressing u 5 G T or i returns to the function storage screen To return to the number table screen press 5 TABL 2 Pressing 6 g 4 G PLT on the function storage screen generates the nu...

Page 199: ... and a increment of 1 Y1 3x2 2 Y2 x2 Use the following V Window settings Xmin 0 Xmax 6 Xscale 1 Ymin 2 Ymax 10 Yscale 2 Procedure 1 m GRPH TBL 2 K V Window awgwbwc cwbawcwi 3 3 TYPE b Y dvx cw vxw 4 6 g 2 RANG dwdwbwi 5 5 TABL 6 4 G CON Result Screen 5 7 10 Using Tables You can use Trace Zoom or Sketch after drawing a graph ...

Page 200: ...ble range when calculating scatter data from a function Set Up 1 From the Main Menu enter the GRPH TBL Mode Execution 2 Store the functions 3 Specify the table range 4 Select the functions for which you want to generate a table The sign of selected functions is highlighted on the screen 5 Generate the table 5 7 11 Using Tables ...

Page 201: ... 2 Y2 x 4 Y3 x2 Procedure 1 m GRPH TBL 2 3 TYPE b Y dvx cw v ew vxw 3 6 g 2 RANG dwdwbwi 4 ff1 SEL 5 5 TABL Result Screen 5 7 12 Using Tables You can generate number tables from rectangular coordinate polar coordinate and parametric functions You can include derivatives in generated number tables by specifying On for the Derivative item on the SET UP screen ...

Page 202: ...e GRPH TBL Mode 2 Make V Window settings 3 On the SET UP screen select T G for Dual Screen Execution 4 Input the function 5 Specify the table range 6 The number table is displayed in the sub screen on the right 7 Specify the graph type and draw the graph 4 G CON line graph 5 G PLT plot type graph 1 5 7 13 Using Tables 1 Pressing 6 g 4 G PLT on the function storage screen generates the number table...

Page 203: ...h Use a table range of 3 to 3 with a increment of 1 Use the following V Window settings Xmin 0 Xmax 6 Xscale 1 Ymin 2 Ymax 10 Yscale 2 Procedure 1 m GRPH TBL 2 K V Window awgwbwc cwbawcwi 3 u3 SET UP ccc1 T G i 4 3 TYPE b Y dvx cw 5 6 g 2 RANG dwdwbwi 6 5 TABL 7 4 G CON Result Screen 5 7 14 Using Tables ...

Page 204: ...een select the Dual Screen item and change its setting to T G Execution 3 Input the function of the graph and make the required table range settings 4 With the number table on the right side of the display draw the graph on the left side 4 G CON connect type graph 5 G PLT plot type graph 5 Turn on G Link 6 Now when you use c and f to move the highlighting among the cells in the table the pointer j...

Page 205: ...t type graph Use a table range of 2 through 9 with an increment of 1 Use the following V Window settings Xmin 1 Xmax 10 Xscale 1 Ymin 1 Ymax 4 Yscale 1 Procedure 1 m GRPH TBL 2 K V Window bwbawbwc bwewbwi u3 SET UP ccc1 T G i 3 3 TYPE b Y dlvw 6 g 2 RANG cwjwbwi 4 5 TABL 5 G PLT 5 6 g 4 G Link 6 c c f f Result Screen ...

Page 206: ... 5 Input values for coefficients and specify which coefficient will be the dynamic vari able 2 6 Specify the start value end value and increment 7 Specify the drawing speed 3 SPEED 1 Pause after each draw Stop Go 2 Half normal speed Slow 3 Normal speed Normal 4 Twice normal speed Fast 8 Draw the Dynamic Graph 5 8 1 Dynamic Graphing 1 The following are the seven built in function types Y AX B Y A X...

Page 207: ...Graph is drawn 10 times Use the following V Window settings Xmin 6 3 Xmax 6 3 Xscale 1 Ymin 3 1 Ymax 3 1 Yscale 1 initial defaults Procedure 1 m DYNA 2 K V Window 1 INIT i 3 u3 SET UP 2 Stop i 4 6 g 3 B IN c1 SEL 5 6 g 4 VAR cwbw bw 6 2 RANG cwfwbwi 7 3 SPEED 3 i 8 6 DYNA Result Screen 5 8 2 Dynamic Graphing 1 4 2 3 Repeats from 1 through 4 ...

Page 208: ...e V Window settings Execution 3 On the SET UP screen specify Stop for Dynamic Type and Deg for Angle 4 Specify Param parametric function as the function type and input a function that contains a dynamic variable 5 Specify the dynamic coefficient 6 Specify the start value end value and increment 7 Specify Normal for the draw speed 8 Start the Dynamic Graph operation 5 8 3 Dynamic Graphing ...

Page 209: ...e path of a ball thrown at an initial velocity of 20 meters per second at horizontal angles of 30 45 and 60 degrees Angle Deg Use the following V Window settings Xmin 1 Xmax 42 Xscale 5 Ymin 1 Ymax 16 Yscale 2 Procedure 1 m DYNA 2 K V Window bwecwfwc bwbgwcwi 3 u3 SET UP 2 Stop cccc1 Deg i 4 3 TYPE d Param cacav A vw casav A v e jvxw 5 4 VAR 6 2 RANG dawgawbfwi 7 3 SPEED 3 i 8 6 DYNA Result Screen...

Page 210: ...peed adjustment menu Each step of the Dynamic Graph draw operation is performed each time you press w slow 1 2 speed normal default speed fast double speed STO stores graph conditions and screen data in Dynamic Graph memory 2 Press the function key 1 to 4 that corresponds to the speed you want to change to 5 8 5 Dynamic Graphing To clear the speed adjustment menu without changing anything press w ...

Page 211: ...u u u To save data in Dynamic Graph memory 1 While a Dynamic Graph draw operation is being performed press A to change to the speed adjustment menu 2 Press 5 STO In response to the confirmation dialog that appears press w Yes to save the data u u u u u To recall data from Dynamic Graph memory 1 Display the Dynamic Graph function list 2 Press 6 RCL to recall all the data stored in Dynamic Graph mem...

Page 212: ... recursion composed of an 2 an 1 an n Set Up 1 From the Main Menu enter the RECUR Mode Execution 2 Specify the recursion type 3 TYPE b an general term of sequence an c an 1 linear two term recursion d an 2 linear three term recursion 3 Input the recursion formula 4 Specify the table range Specify a start point and end point for n If necessary specify a value for the initial term and a pointer star...

Page 213: ...terms of a1 1 a2 1 Fibonacci sequence as n changes in value from 1 to 6 Procedure 1 m RECUR 2 3 TYPE d an 2 3 4 n an d an 1 2 an w 4 5 RANG 2 a1 bwgwbwbwi 5 6 TABL Result Screen 5 9 2 Graphing a Recursion Formula Specifying On for the Display of the SET UP screen causes the sum of each term to be included in the table ...

Page 214: ...enter the RECUR Mode 2 Make V Window settings Execution 3 Specify the recursion formula type and input the formula 4 Specify the table range and start and ending values for n If necessary specify the initial term value and pointer start point 5 Display the recursion formula number table 6 Specify the graph type and draw the graph 5 G CON line graph 6 G PLT plot type graph 5 9 3 Graphing a Recursio...

Page 215: ... 1 as n changes in value from 1 to 6 Use the table values to draw a line graph Use the following V Window settings Xmin 0 Xmax 6 Xscale 1 Ymin 15 Ymax 65 Yscale 5 Procedure 1 m RECUR 2 K V Window awgwbwc bfwgfwfwi 3 3 TYPE c an 1 c2 an bw 4 5 RANG 2 a1 bwgwbwi 5 6 TABL 6 5 G CON Result Screen 5 9 4 Graphing a Recursion Formula ...

Page 216: ...ecify the recursion formula type and input the recursion formula 5 Specify the table range and start and ending values for n If necessary specify the initial term value and pointer start point 6 Display the recursion formula number table 7 Specify the graph type and draw the graph 5 G CON b an Line graph with ordinate an abscissa n c an Line graph with ordinate an abscissa n 6 G PLT b an Plot type...

Page 217: ...m 1 to 6 Use the table values to draw a plot line graph with ordinate an abscissa n Use the following V Window settings Xmin 0 Xmax 6 Xscale 1 Ymin 15 Ymax 65 Yscale 5 Procedure 1 m RECUR 2 u3 SET UP 1 On i 3 K V Window awgwbwc bfwgfwfwi 4 3 TYPE c an 1 c2 an bw 5 5 RANG 2 a1 bwgwbwi 6 6 TABL 7 6 G PLT c an Result Screen 5 9 6 Graphing a Recursion Formula ...

Page 218: ...formula 4 Specify the table range n start and end points initial term value and pointer start point 5 Display the recursion formula number table 6 Draw the graph 7 Press w and the pointer appears at the start point you specified Press w several times If convergence exists lines that resemble a spider web are drawn on the display Failure of the web lines to appear indicates either divergence or tha...

Page 219: ...gs Table Range Start 0 End 6 a0 0 01 anStr 0 01 b0 0 11 bnStr 0 11 V Window Settings Xmin 0 Xmax 1 Xscale 1 Ymin 0 Ymax 1 Yscale 1 Procedure 1 m RECUR 2 K V Window awbwbwc awbwbwi 3 3 TYPE c an 1 d2 an x d2 an w d3 bn a cw 4 5 RANG 1 a0 awgwa abwa bbwc a abwa bbwi 5 6 TABL 6 4 WEB 7 1 TRACE w w an is convergence cw w bn is divergence Result Screen 5 9 8 Graphing a Recursion Formula ...

Page 220: ... Tangent line h Normal Line normal to a curve i Invrse Inverse function 2 j Circle Circle v Vert Vertical line l Horz Horizontal line 3 Use the cursor keys to move the pointer to the location where you want to draw and press w 3 1 The above shows the function menu that appears in the GRPH TBL Mode Menu items may differ somewhat in other modes 2 In the case of an inverse function graph drawing star...

Page 221: ... Window settings Xmin 5 Xmax 5 Xscale 1 Ymin 5 Ymax 5 Yscale 1 Procedure 1 m GRPH TBL K V Window fwfwbwc fwfwbwi 3 TYPE b Y v v c v c w 5 DRAW 2 3 SKTCH g Tangnt 3 e ew 1 Result Screen 5 10 2 Changing the Appearance of a Graph 1 You can draw a tangent line in succession by moving the pointer and pressing w ...

Page 222: ...t and a pointer appears in the center of the display 3 Use the cursor keys to move the pointer to the location where you want the text to be and input the text 5 10 3 Changing the Appearance of a Graph You can input any of the following characters as comment text A Z r space 0 9 EXP Ans comma x2 log In x 10x ex 3 x 1 sin cos tan sin 1 cos 1 tan 1 i List Mat ...

Page 223: ...Use the following V Window settings Xmin 5 Xmax 5 Xscale 1 Ymin 5 Ymax 5 Yscale 1 Procedure 1 m GRPH TBL K V Window fwfwbwc fwfwbwi 3 TYPE b Y v v c v c w 5 DRAW 2 3 SKTCH e Text 3 fcee a Y v v c v c i Result Screen 5 10 4 Changing the Appearance of a Graph ...

Page 224: ...appears in the center of the screen 3 Use the cursor keys to move the pointer to the point from which you want to start drawing and then press w 4 Use the cursor keys to move the pointer A line is drawn wherever you move the pointer To stop the line press w Repeat step 3 and 4 to draw other lines After you are finished drawing press i 5 10 5 Changing the Appearance of a Graph ...

Page 225: ... 2 x 2 Use the following V Window settings Xmin 5 Xmax 5 Xscale 1 Ymin 5 Ymax 5 Yscale 1 Procedure 1 m GRPH TBL K V Window fwfwbwc fwfwbwi 3 TYPE b Y v v c v c w 5 DRAW 2 3 SKTCH f Pen 3 fceew 4 fceew Result Screen 5 10 6 Changing the Appearance of a Graph ...

Page 226: ...y picture memory area Pict 1 through Pict 20 as the Background item When you do the contents of the corresponding memory area is used as the background of the graph screen Example 1 With the circle graph X2 Y2 1 as the background use Dynamic Graph to graph Y X2 A as variable A changes value from 1 to 1 in increments of 1 Recall the background graph X2 Y2 1 ...

Page 227: ...19990401 5 10 8 Changing the Appearance of a Graph Draw the dynamic graph Y X2 1 Y X2 Y X2 1 See 5 8 1 Dynamic Graphing for details on using the Dynamic Graph feature ...

Page 228: ...the derivative When there are multiple graphs on the display press f and c to move between them along the x axis of the current pointer location 4 You can also move the pointer by pressing v to display the pop up window and then inputting coordinates To exit a trace operation press i 5 11 1 Function Analysis 1The pointer is not visible on the graph when it is located at point outside the graph dis...

Page 229: ...ngs Xmin 5 Xmax 5 Xscale 1 Ymin 10 Ymax 10 Yscale 2 Procedure 1 m GRPH TBL K V Window fwfwbwc bawbawcwi 3 TYPE b Y vx dw 5 DRAW 2 1 TRACE 3 d d 4 v bw Result Screen 5 11 2 Function Analysis The following shows how coordinates are displayed for each function type Polar Coordinate Graph Parametric Graph Inequality Graph ...

Page 230: ...er appears at the center of the graph The current coordinates and the derivative also appear on the display at this time 4 Use d and e to move the pointer along the graph to the point at which you want to display the derivative When there are multiple graphs on the display press f and c to move between them along the x axis of the current pointer location 5 You can also move the pointer by pressin...

Page 231: ...function shown below Y1 x2 3 Use the following V Window settings Xmin 5 Xmax 5 Xscale 1 Ymin 10 Ymax 10 Yscale 2 Procedure 1 m GRPH TBL u3 SET UP ccccc1 On i 2 K V Window fwfwbwc bawbawcwi 3 TYPE b Y vx dw 5 DRAW 3 1 TRACE 4 d d 5 v bw Result Screen 5 11 4 Function Analysis ...

Page 232: ...ET UP screen specify GtoT for Dual Screen 3 Make V Window settings Execution 4 Save the function and draw the graph on the active left screen 5 Activate Trace When there are multiple graphs on the display press f and c to select the graph you want 6 Use d to move the pointer and press w to store coordinates into the number table Repeat this step to store as many values as you want 7 Press 6 CHNG t...

Page 233: ...ow and store the table contents in List 1 Y1 x2 3 Y2 x 2 Use the following V Window settings Xmin 5 Xmax 5 Xscale 1 Ymin 10 Ymax 10 Yscale 2 Procedure 1 m GRPH TBL 2 u3 SET UP ccc3 GtoT i 3 K V Window fwfwbwc bawbawcwi 4 3 TYPE b Y vx dw v cw 5 DRAW 5 1 TRACE 6 d dwe ewi 7 6 CHNG 8 K1 LMEM bw Result Screen 5 11 6 Function Analysis ...

Page 234: ...y Trace Set Up 1 Draw the graph Execution 2 Press 2 ZOOM i Rnd This causes the V Window settings to be changed automatically in accordance with the Rnd value 3 Press 1 TRACE and then use the cursor keys to move the pointer along the graph The coordinates that now appear are rounded 5 11 7 Function Analysis ...

Page 235: ...ction for the two graphs produced by the functions shown below Y1 x2 3 Y2 x 2 Use the following V Window settings Xmin 5 Xmax 5 Xscale 1 Ymin 10 Ymax 10 Yscale 2 Procedure 1 m GRPH TBL K V Window fwfwbwc bawbawcwi 3 TYPE b Y vx dw v cw 5 DRAW 2 2 ZOOM i Rnd 3 1 TRACE d d Result Screen 5 11 8 Function Analysis ...

Page 236: ...nate for given x coordinate h X Cal x coordinate for given y coordinate i dx Integral value for a given range 3 When there are multiple graphs on the screen the selection cursor k is located at the lowest numbered graph Use the cursor keys to move the cursor to the graph you want to select 4 Press w to select the graph where the cursor is located and display the value produced by the analysis When...

Page 237: ...indow 1 INIT i 3 TYPE b Y v v c v c w 5 DRAW 2 4 G SLV b Root 4 e e Result Screen 5 11 10 Function Analysis When analyzing a single graph results appear as soon as you select an analysis function in step 2 so step 3 is not necessary Root maximum value minimum value and y intercept can be calculated for rectangular coordinate graphs and inequality graphs only The y intercept is the point where the ...

Page 238: ...ursor k appears at the lowest numbered graph 3 Use the cursor keys to move the cursor to the graph you want to select 4 Press w to select the first graph which changes the shape of the cursor from k to 5 Use the cursor keys to move the cursor to the second graph 6 Press w to calculate the point of intersection for the two graphs When an analysis produces multiple values press e to calculate the ne...

Page 239: ...ale 1 Ymin 5 Ymax 5 Yscale 1 Procedure 1 m GRPH TBL K V Window fwfwbwc fwfwbwi 3 TYPE b Y v bw vxw 5 DRAW 2 4 G SLV f Isect 6 e Result Screen 5 11 12 Function Analysis In the case of two graphs the point of intersection is calculated immediately after you press 4f in step 2 You can calculate the point of intersection for rectangular coordinate graphs and inequality graphs only ...

Page 240: ...ction you want to perform When there are multiple graphs the selection cursor k appears at the lowest numbered graph 4 G SLV g Y Cal y coordinate for given x h X Cal x coordinate for given y 3 Use fc to move the cursor k to the graph you want and then press w to select it 4 Input the given x coordinate value or y coordinate value Press w to calculate the corresponding y coordinate value or x coord...

Page 241: ...b Y v bw v v c v c w 5 DRAW 2 4 G SLV g Y Cal 2 4 G SLV h X Cal 3 cw 3 cw 4 a fw 4 c cw Result Screen 5 11 14 Function Analysis When there are multiple results for the above procedure press e to calculate the next value Pressing d returns to the previous value Step 3 of the above procedure is skipped when there is only one graph on the display The X Cal value cannot be obtained for a parametric fu...

Page 242: ...the lower limit pointer to the location you want and then press w You can also move the pointer by pressing v to display the pop up window and then inputting coordinates 5 Use e to move the upper limit pointer to the location you want You can also move the pointer by pressing v to display the pop up window and then inputting the upper limit and lower limit values for the integration range 6 Press ...

Page 243: ...alue at 2 0 Y1 x x 2 x 2 Use the following V Window settings Xmin 6 3 Xmax 6 3 Xscale 1 Ymin 4 Ymax 4 Yscale 1 Procedure 1 m GRPH TBL K V Window g dwg dwbwc ewewbwi 3 TYPE b Y v v c v c w 5 DRAW 2 4 G SLV i dx 4 d dw 5 e e Upper limit x 0 6 w Result Screen 5 11 16 Function Analysis ...

Page 244: ...is Focus Vertex Length e focus vertex lactus rectum eccentricity Dirtrx Sym directrix axis of symmetry X Icpt Y Icpt x intercept y intercept u Circular Graph Analysis Center Radius center radius X Icpt Y Icpt x intercept y intercept u Elliptical Graph Analysis Focus Vertex Center e focus vertex center eccentricity X Icpt Y Icpt x intercept y intercept u Hyperbolic Graph Analysis Focus Vertex Cente...

Page 245: ... Yscale 1 4 G SLV b Focus Calculates the focus i 4 G SLV d Vertex Calculates the vertex i 4 G SLV f Length Calculates the latus rectum When calculating two foci for an ellipse or hyperbolic graph press e to calculate the second focus Pressing d returns to the first focus When calculating two vertexes for an ellipse or hyperbolic graph press e to calculate the second vertex Pressing d returns to th...

Page 246: ... 1 Ymin 3 1 Ymax 3 1 Yscale 1 4 G SLV b Center Calculates the center i 4 G SLV c Radius Calculates the radius u To calculate the x and y intercepts G SLV X Icpt Y Icpt Example To determine the x and y intercepts for the hyperbola X 3 2 Y 1 2 1 22 22 Use the following V Window settings Xmin 4 Xmax 8 Xscale 1 Ymin 5 Ymax 5 Yscale 1 4 G SLV g X Icpt Calculates the x intercept 5 11 19 Function Analysi...

Page 247: ...cepts u To draw and analyze the axis of symmetry and directrix G SLV Sym Dirtrx Example To draw the axis of symmetry and directrix for the parabola X 2 Y 1 2 1 Use the following V Window settings Xmin 6 3 Xmax 6 3 Xscale 1 Ymin 3 1 Ymax 3 1 Yscale 1 4 G SLV e Sym Draws the axis of symmetry i 4 G SLV c Dirtrx Draws the directrix 5 11 20 Function Analysis ...

Page 248: ...2 2 1 42 22 Use the following V Window settings Xmin 3 Xmax 7 Xscale 1 Ymin 1 Ymax 5 Yscale 1 4 G SLV e e Calculates eccentricity 5 11 21 Function Analysis Certain V Window parameters can produce errors in values produced as graph analysis results The message Not Found appears on the display when graph analysis is unable to produce a result The following can result in inaccurate analysis results o...

Page 249: ...ating and Graphing Paired Variable Statistical Data 6 4 Performing Statistical Calculations 6 5 Distribution Important This chapter contains a number of graph screen shots In each case new data values were input in order to highlight the particular characteristics of the graph being drawn Note that when you try to draw a similar graph the unit uses data values that you have input using the List fu...

Page 250: ...encies You can also use a variety of different regression calculations to analyze the data k Inputting Data into Lists Example To input the following two data groups 0 5 1 2 2 4 4 0 5 2 2 1 0 3 1 5 2 0 2 4 a fwb cw c ewewf cw e c bwa dw b fwcwc ew Once data is input you can use it for graphing and statistical calculations 6 1 1 Before Performing Statistical Calculations Except for complex numbers ...

Page 251: ...t 1 for single variable data and List 1 and List 2 for paired variable data You can specify which statistical data list you want to use for x data and y data Frequency Normally each data item or data pair in the statistical data list is represented on a graph as a point When you are working with a large number of data items however this can cause problems because of the number of plot points on th...

Page 252: ...ModB N Dis Brkn histogram med box graph modified box graph normal distribution curve line graph X Med X 2 X 3 X 4 linear regression graph Med Med graph quadratic regression graph cubic regression graph quartic regression graph Log Exp Pwr Sin Lgst logarithmic regression graph exponential regression graph power regression graph sinusoidal regression graph logistic regression graph XList x axis data...

Page 253: ...unction key to change the status On Off On draw Off non draw DRAW draws all On graphs 3 To return to the graph menu press i 6 1 4 Before Performing Statistical Calculations View Window parameters are normally set automatically for statistical graphing If you want to set View Window parameters manually you must change the Stat Wind item to Manual While the statistical data list is on the display pe...

Page 254: ...raph k k k k k Normal Probability Plot NPP This plot compares the data accumulated ratio with a normal distribution accumulated ratio XList specifies the list where data is input and Mark Type is used to select from among the marks you want to plot Press i or i QUIT to return to the statistical data list k k k k k Histogram Bar Graph Hist XList specifies the list where the data is input while Freq...

Page 255: ...here the data frequency is input 1 is specified for Freq when frequency is not specified k Modified Box Graph ModB The modified box graph omits everything in the range past 1 5 IQR IQR Q3 Q1 Q3 3rd quartile Q1 1st quartile from the med box 4th quartile and draws whiskers Outliers are displayed as plot points XList specifies the list where the data is input while Freq specifies the list where the d...

Page 256: ...pecified for Freq when frequency is not specified k Line Graph Brkn Lines connect center points of a histogram bar XList specifies the list where the data is input while Freq specifies the list where the data frequency is input 1 is specified for Freq when frequency is not specified 6 2 3 Calculating and Graphing Single Variable Statistical Data w Draw The display screen appears as shown above bef...

Page 257: ... off the bottom of the screen The following describes the meaning of each of the parameters o mean x sum x2 sum of squares x n population standard deviation x n 1 sample standard deviation n number of data items minX minimum Q1 first quartile Med median Q3 third quartile maxX maximum Mod mode Mod n number of data mode items Mod F data mode frequency Press 6 DRAW to return to the original single va...

Page 258: ... Line Graph Description The following procedure plots a scatter diagram and connects the dots to produce an xy line graph Set Up 1 From the Main Menu enter the STAT Mode Execution 2 Input the data into a list 3 Specify Scat scatter diagram or xy xy line graph as the graph type and then execute the graph operation Press i or i QUIT to return to the statistical data list ...

Page 259: ...y line graph 0 5 1 2 2 4 4 0 5 2 2 1 0 3 1 5 2 0 2 4 Procedure 1 m STAT 2 a fwb cw c ewewf cw e c bwa dw b fwcwc ew 3 Scatter diagram 1 GRPH f Set c1 Scat i 1 GRPH b S Gph1 3 xy line graph 1 GRPH f Set c2 xy i 1 GRPH b S Gph1 Result Screen Scatter diagram xy line graph 6 3 2 Calculating and Graphing Paired Variable Statistical Data ...

Page 260: ...he results Set Up 1 From the Main Menu enter the STAT Mode Execution 2 Input the data into a list and plot the scatter diagram 3 Select the regression type execute the calculation and display the regression parameters 4 Draw the regression graph 6 3 3 Calculating and Graphing Paired Variable Statistical Data You can perform trace on a regression graph You cannot perform trace scroll ...

Page 261: ...e data to display the regression parameters and then draws the corresponding regression graph 0 5 1 2 2 4 4 0 5 2 2 1 0 3 1 5 2 0 2 4 Procedure 1 m STAT 2 a fwb cw c ewewf cw e c bwa dw b fwcwc ew 1 GRPH f Set c1 Scat i 1 GRPH b S Gph1 3 4 CALC h Log 4 6 DRAW Result Screen 6 3 4 Calculating and Graphing Paired Variable Statistical Data ...

Page 262: ... logistic regression calculation and graphing k k k k k Displaying Statistical Calculation Results Whenever you perform a regression calculation the regression formula parameter such as a and b in the linear regression y ax b calculation results appear on the display You can use these to obtain statistical calculation results Regression parameters are calculated as soon as you press a function key...

Page 263: ...efficient slope b regression constant term intercept r correlation coefficient r2 coefficient of determination k k k k k Med Med Graph When it is suspected that there are a number of extreme values a Med Med graph can be used in place of the least squares method This is similar to linear regression but it minimizes the effects of extreme values 4 CALC d MedMed 6 DRAW The following is the Med Med g...

Page 264: ...ic regression Model formula y ax2 bx c a regression second coefficient b regression first coefficient c regression constant term intercept Cubic regression Model formula y ax3 bx2 cx d a regression third coefficient b regression second coefficient c regression first coefficient d regression constant term intercept Quartic regression Model formula y ax4 bx3 cx2 dx e a regression fourth coefficient ...

Page 265: ...r2 coefficient of determination k Exponential Regression Graph Exponential regression expresses y as a proportion of the exponential function of x The standard exponential regression formula is y a ebx so if we take the logarithms of both sides we get In y In a bx Next if we say Y In y and a In a the formula corresponds to linear regression formula Y a bx 4 CALC i Exp 6 DRAW The following is the e...

Page 266: ...cient of determination k k k k k Sinusoidal Regression Graph Sinusoidal regression is best applied for cyclical data The following is the sinusoidal regression model formula y a sin bx c d While the statistical data list is on the display perform the following key operation 4 CALC v Sin 6 DRAW Drawing a sinusoidal regression graph causes the angle unit setting of the calculator to automatically ch...

Page 267: ...gression calculations While the statistical data list is on the display recall the SET UP screen to specify a LIST List 1 through List 20 for Resid List Calculated residual data is stored in the specified list The vertical distance from the plots to the regression model will be stored in the list Plots that are higher than the regression model are positive while those that are lower are negative R...

Page 268: ...Copying a Regression Graph Formula to the GRPH TBL Mode You can copy regression formula calculation results to the GRPH TBL Mode graph formula area and store and compare 1 Press 5 COPY to copy the regression formula that produced the displayed data to the GRPH TBL Mode graph formula area 1 2 Press w to save the copied graph formula and return to the previous regression calculation result display 6...

Page 269: ...erforming single variable statistic or regression calculations 4 CALC c Linear The text at the top of the screen indicates the currently selected graph StatGraph1 Graph 1 StatGraph2 Graph 2 StatGraph3 Graph 3 1 Press c The graph name at the top of the screen changes when you do 2 When graph you want to use is selected press w Now you can use the procedure under Displaying the Calculation Results o...

Page 270: ...type of function graph you want Set Up 1 From the Main Menu enter the STAT Mode Execution 2 Input the data into a list and draw the statistical graph 3 Display the Graph Function menu and input the function you want to overlay on the statistical graph 4 Graph the function 6 3 13 Calculating and Graphing Paired Variable Statistical Data ...

Page 271: ...GRPH b S Gph1 3 5 DefG cIvw Register Y1 2In x 4 6 DRAW Result Screen 6 3 14 Calculating and Graphing Paired Variable Statistical Data You can also perform trace etc for drawn function graphs Graphs of types other than rectangular coordinate graphs cannot be drawn Pressing i while inputting a function returns the expression to what it was prior to input Pressing i QUIT clears the input expression a...

Page 272: ... located before you start a calculation Display the statistical data and then press 2 CALC e Set The following is the meaning for each item 1Var XList location of single variable statistic x values XList 1Var Freq location of single variable frequency values Frequency 2Var XList location of paired variable statistic x values XList 2Var YList location of paired variable statistic y values YList 2Va...

Page 273: ...al values see Displaying the Calculation Results of a Drawn Single Variable Graph page 6 2 4 k k k k k Paired Varia ble Statistical Calculations In the previous examples from Linear Regression Graph to Logistic Regression Graph statistical calculation results were displayed after the graph was drawn These were numeric expressions of the characteristics of variables used in the graphic display Thes...

Page 274: ...EG displays the pull up menu which contains the following items Linear MedMed Quad Cubic Quart Log Exp Power Sin Lgstic linear regression Med Med quadratic regression cubic regression quartic regression logarithmic regression exponential regression power regression sinusoidal regression logistic regression parameters Example To display single variable regression parameters 2 CALC d REG b Linear Th...

Page 275: ...e STAT Mode 2 Input data into the list and draw the linear regression graph 3 From the Main Menu enter the RUN MAT Mode 4 Press the keys as follows ca value of xi K6 g 4 STAT c w The estimated value is displayed for xi 20 baaa value of yi 4 STAT b w The estimated value is displayed for yi 1000 6 4 4 Performing Statistical Calculations xi yi 10 1003 15 1005 20 1010 25 1011 30 1014 You cannot obtain...

Page 276: ...ility P t Q t and R t and normalized variate t x are calculated using the following formulas P t Q t R t Example The following table shows the results of measurements of the height of 20 college students Determine what percentage of the students fall in the range 160 5 cm to 175 5 cm Also in what percentile does the 175 5 cm tall student fall Class no Height cm Frequency 1 158 5 1 2 160 5 1 3 163 ...

Page 277: ...PROB menu 1 PROB i t bga f w Normalized variate t for 160 5cm Result 1 633855948 1 634 1 PROB i t bhf f w Normalized variate t for 175 5cm Result 0 4963343361 0 496 1 PROB f P a ejg 1 PROB f P b gde w Percentage of total Result 0 638921 63 9 of total 1 PROB h R a ejg w Percentile Result 0 30995 31 0 percentile 6 4 6 Performing Statistical Calculations 1 You can obtain the normalized variate immedi...

Page 278: ...draw a probability distribution graph using manual graphing with the RUN MAT Mode Set Up 1 From the Main Menu enter the RUN MAT Mode Execution 2 Input the commands to draw a rectangular coordinate graph 3 Input the probability value 6 4 7 Performing Statistical Calculations ...

Page 279: ...19990401 Example To draw a probability P 0 5 graph Procedure 1 m RUN MAT 2 K6 g 6 g 2 SKTCH b Cls w 2 SKTCH e GRPH b Y 3 K6 g 1 PROB f P a fw Result Screen 6 4 8 Performing Statistical Calculations ...

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Page 281: ...19990401 Computer Algebra System and Tutorial Modes 7 1 Using the CAS Computer Algebra System Mode 7 2 Algebra Mode 7 3 Tutorial Mode 7 4 Algebra System Precautions Chapter 7 ...

Page 282: ...gebra Mode is performed in the upper part of the display which is called the input area You can input commands and expressions at the current cursor location Calculation results appear in the lower part of the display which is called the output area When a calculation produces an equation or inequality the lower part of the display is divided between a natural result display area for the result an...

Page 283: ...Command Input Press a function menu key to display the menu of functions for the type of operation you are trying to perform TRNS formula transformation menu CALC formula calculation menu EQUA equation inequality menu eqn calls up an equation stored in Equation Memory in accordance with a specified input value CLR variable formula delete menu For details on commands and their formats see the Algeb...

Page 284: ... r Xt Yt X input of graph memory Y r Xt Yt X k Formula Memory The CAS Mode has 28 formula variables Variable names are the letters A through Z plus r and CAS Mode formula variables are independent of standard value variables 2 Example To assign a formula that differentiates sin X at X cos X to variable A 2 CALC b diff sv v aav A w 7 1 3 Using the CAS Computer Algebra System Mode 1 real number A 0 ...

Page 285: ...raph memory Y1 at X 2 CALC b diff J1 Y b v w k Eqn Memory When a calculation result is an equation or inequality its formula number is displayed in the formula number area and the equation is stored in Eqn memory 1 Stored equations can be recalled with the eqn command rclEqn command or rclAllEqn command 7 1 4 Using the CAS Computer Algebra System Mode 1 Up to 99 formulas can be stored in Eqn memor...

Page 286: ...ion performed After a calculation or after pressing A you can press f or c to recall previous formulas k Moving the Cursor Between Display Areas When indicates a calculation result that does not fit on the display the cursor keys perform output area scrolling To use the Replay Function from this condition press 6 g 2 SW change to a dotted line display to indicate that cursor key operations control...

Page 287: ...format specification for approx only Fix Sci Norm number of decimal places number of significant digits normal display format k Graph Function Pressing 5 GRPH displays the graph formula screen You can execute 1 SEL and 2 DEL from this screen Pressing 6 DRAW graphs the SET condition expressions k RECALL ANS Function Pressing 6 g 3 R ANS recalls Ans Memory contents 7 1 6 Using the CAS Computer Algeb...

Page 288: ... within square brackets can be omitted u expand Function Expands an expression Syntax expand Exp Eq Ineq Example To expand X 2 2 1 TRNS b expand v c xw X2 4X 4 u rFactor rFctor Function Factors an expression up to its root Syntax rFactor Exp Eq Ineq Example To factor the X2 3 1 TRNS c rFctor vx dw X 3 X 3 u factor Function Factors an expression Syntax factor Exp Eq Ineq Example To factor X2 4X 4 1...

Page 289: ...Expnd Function Employs the addition theorem to expand a trigonometric function Syntax tExpand Exp Example To employ the addition theorem to expand sin A B 1 TRNS f TRIG b tExpnd s av A al B w cos B sin A sin B cos A u tCollect tCollc Function Employs the addition theorem to transform the product of a trigonometric function to a sum Syntax tCollect Exp Example To employ the addition theorem to tran...

Page 290: ... f TRIG d trigToE c a i vw u expToTrig expToT Function Converts an exponential function to a trigonometric or hyperbolic function Syntax expToTrig Exp Example To convert eix to a trigonometric function 1 TRNS f TRIG e expToT I ex a i vw cos X sin X i u simplify smplfy Function Simplifies an expression Syntax simplify Exp Eq Ineq Example To simplify 2X 3Y X 3 Y X 3Y 3 X 1 TRNS g smplfy ca X da Y a ...

Page 291: ...ing on the variable X 1 TRNS i collct vx av A v al B vw X2 A B X X is the default when nothing is specified for Exp 1 variable u substitute sbstit Function Assigns an expression to a variable Syntax substitute Exp Eq Ineq variable expression variable expression Example To assign 5 to X in 2X 1 1 TRNS j sbstit cv b v fw 9 u cExpand cExpnd Function Expands xth root of imaginary number Syntax cExpand...

Page 292: ...g the exponential format range specified by the Display item of the SET UP screen This means approx displays results in the CAS Mode the same way they are displayed in the RUN MAT Mode Example 920 Normal jMcaw 12157665459056928801 approx 1 TRNS l approx jMcaw 1 215766546E 19 Display Norm1 If you use approx to execute an expression that contains a variable the value assigned to the variable in gene...

Page 293: ...ion Integrates an expression Syntax Exp variable integration constant Exp variable integration constant Exp variable lower limit upper limit Example To integrate X2 with respect to X 2 CALC c vxw X is the default when no variable is specified u lim Function Determines the limits of a function expression Syntax lim Exp variable point direction Example To determine the limits of sin X X when X 0 2 C...

Page 294: ...om X 1 through X 5 2 CALC f vx v b fw 14400 u taylor Function Finds a Taylor polynomial Syntax taylor Exp variable order center point Example To find a 5th order Taylor polynomial for sin X with respect to X 0 2 CALC g taylor sv v f aw The default center point is zero u arcLen Function Returns the arc length Syntax arcLen Exp variable start value end value Example To determine the arc length for X...

Page 295: ... denominator Exp Example To extract the denominator of the fraction X 2 Y 1 2 CALC j EXTRCT b den a X c a Y bw Y 1 u numerator num Function Extracts the numerator of a fraction Syntax numerator Exp Example To extract the numerator of the fraction X 2 Y 1 2 CALC j EXTRCT c num a X c a Y bw X 2 u gcd Function Returns the greatest common denominator Syntax gcd Exp Exp Example To determine the greates...

Page 296: ...x rclAllEqn The memory numbers of equations produced as the result of a recall are not updated u rewrite rewrit Function Moves the right side element to the left side Syntax rewrite Eq Ineq Example To move the right side element of X 3 5X X2 to the left side 3 EQUA e rewrit v d fv vxw X2 4X 3 0 u exchange exchng Function Exchanges the right side and left side elements Syntax exchange Eq Ineq Examp...

Page 297: ...4Y 3 5 u getRight getRgt Function Gets the right side element Syntax getRight Eq Ineq Example To extract the right side element ofY 2X2 3X 5 3 EQUA h getRgt a Y ca X x da X fw 2X2 3X 5 u eqn Function Recalls eqn memory contents Syntax eqn memory number Example To add 15 to both sides of the equation 6X 15 X 7 which is stored in equation memory 3 4 eqn d bfw 6X X 8 7 1 16 Using the CAS Computer Alg...

Page 298: ... w Example To clear the contents of variables X Y and Z 6 g 1 CLR b clrVar a X a Y aa Z w u clearVarAll VarAll Function Clears the contents of all 28 variables A to Z r Syntax clearVarAll 7 1 17 Using the CAS Computer Algebra System Mode 1When you start out with memories A B C and D for example and delete memories A and B the display shows only C D because they are the only memories remaining ...

Page 299: ... Mode except for a number of limitations Also the following commands are available in the Algebra Mode only u arrange arrang Function Arranges terms in sequence of their variables Syntax arrange Exp Eq Ineq Example To arrange 2X 3 5X 8Y in sequence of its variables 1 TRNS j arrang ca X d fa X ia Y w 5X 2X 8Y 3 u replace replac Function Replaces a variable with the expression assigned to the corres...

Page 300: ... Function Divides an expression that contains an absolute value into two expressions Syntax absExpand Eq Ineq Example To strip the absolute value from 2X 3 9 3 EQUA i absExp K1 Abs cv d jw 7 2 2 Algebra Mode 2X 3 9 or 2X 3 9 2 1 ...

Page 301: ...torial Mode displays a menu of the following expression types Linear Equation Linear Inequality Quadratic Equation Simul Simultaneous Equation Use the cursor keys to highlight the expression type you want to specify and then press w This displays a list of formulas for the expression type you select Move the cursor to the formula you want to use In the case of Linear Inequality press 4 TYPE to sel...

Page 302: ... F AX B C Quadratic Equation 5 Types AX2 B AX B 2 C AX2 BX C 0 AX2 BX C D AX2 BX C DX2 EX F Simul Equation 10 Types AX BY C Y AX B DX EY F Y CX D AX BY C 0 AX BY C DX EY F DX EY F 0 GX HY I JX KY L AX BY C AX BY C Y DX E DX EY F 0 AX BY C AX BY C 0 DX EY F GX HY I Y DX E AX BY C DX EY F AX BY C 0 Y GX H DX EY F GX HY I Pressing 6 EXCH reverses the left side and right side elements of the expressio...

Page 303: ...ress 6 EXE to define the coefficient 3 SMPL displays a number of preset sample expressions Highlight the one you want to use and then press w to define it Pressing4 SEED displays a number selection screen When you want to create the same problem on another calculator specify an appropriate matching number and press w No matter what method you use the expression you define is displayed in the outpu...

Page 304: ...has two solutions the left side and right side are obtained for the value where the pointer is located In the case of simultaneous equations where the left side and right side of the second equation are dissimilar even though the left side and right side of the first equation match the left side and right side of the second equation only are obtained In other cases the left side and right side of ...

Page 305: ...401 7 3 5 Tutorial Mode You can press 4 MANU to change to the Manual Mode or 5 AUTO to change to the Auto Mode Example To solve 4X 8 in the Verify Mode Linear Equation AX B 2 INPUT ewiw6 EXE 4 VRFY cw 6 JUDG ...

Page 306: ...ation is the same as that in the Algebra Mode After you obtain a result you can press 5 JUDG to determine whether or not it is correct DISP Determines whether the expression in the display area is a correct solution Indenti identity of left side and right side Many many solutions No sol no solution You can press 6 AUTO to change to the Auto Mode Example Solve 4X 8 in the Manual Mode Linear Equatio...

Page 307: ...AN NOT JUDGE appears in the Manual Mode while the other messages appear in both the Verify Mode and Manual Mode u andConnect andCon Function Connects two inequalities into a single expression Syntax andConnect Ineq 1 Ineq 2 Example To combine X 1 and X 3 into a single inequality 2 EQUA g andCon v2 EQUA b INEQUA b b v2 EQUA b INEQUA c dw 1 X 3 ...

Page 308: ... expression by the same value to isolate the coefficient X or Y As with the Algebra Mode the screen is divided between an input area and a display area Each press of 6 NEXT advances to the next step 6 NEXT is not shown on the display when after the solution is obtained You can scroll back through the steps by pressing 1 BACK Example To solve 4X 8 in the Auto Mode Linear Equation AX B 2 INPUT ewiw6...

Page 309: ... result to appear immediately does not indicate malfunction of the computer Any expression can be displayed in various different formats Because of this you should not assume that an expression is wrong just because it does not appear as you expected This calculator performs integration calculations under the assumption that integrals are always positive even when the integrals are discontinuous d...

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Page 311: ...Reference 8 6 Using Calculator Functions in Programs 8 7 Program Mode Command List 8 8 Program Library Chapter This unit comes with approximately 144 kbytes of memory You can check how much memory has been used and how much remains by entering the SYSTEM Mode from the Main Menu and then pressing 1 Mem See 9 2 Memory Operations for details 8 ...

Page 312: ...there are no programs stored in memory when you enter the PRGM Mode the message No Programs appears on the display and only the NEW item 3 is shown in the function menu The values to the right of the program list indicate the number of bytes used by each program A file name can be up to eight characters long The following are the characters you can use in a file name A through Z r spaces 0 through...

Page 313: ... A2 V A3 3 1 Press 3 NEW and the cursor changes form to indicate alpha character input 2 The following shows how the calculation of the surface area and volume of a regular octahedron would be calculated using a manual calculation Surface Area S c x d value of A xw Volume V x c d value of A Mdw 3 Pressing w while the final result of a program is on the display changes to the program list You can a...

Page 314: ...GM PROGRAM menu Prog program recall JUMP jump command menu input output command I O I O control transfer command menu IF FOR WHLE CTRL LOGIC conditional jump loop control conditional loop control program control logical operation command menu CLR DISP clear display command menu separator for expressions and commands See 8 5 Command Reference for full details on each of these commands Pressing u3 S...

Page 315: ...M displays the following PRGM PROGRAM menu Prog JUMP logical operator menu separator for expressions and commands Pressing u3 SET UP displays the mode command menu shown below Dec Hex Bin Oct EXE EDIT program execute edit NEW new program DEL DEL A specific program all program delete SRC REN file name search change 8 2 2 Program Mode Function Keys 1 Programs input after pressing 2 BASE are indicate...

Page 316: ...ing program execution When such a message appears press i to display the place in the program where the error was caused The cursor will be flashing at the location of the problem Check the Error Message Table page 1 1 for steps you should take to correct the situation Note that pressing i does not display the location of the error if the program is password protected Instead it returns to the pro...

Page 317: ... area S and volume V of a regular tetrahedron for which the length of one side A is known Use the following key operations when inputting the program Length of One Side A J PRGM 3 aav A 6 g 6 g 3 Surface Area S x d av A x6 g 4 Volume V x c bc av A Md Compare this with the program for calculating the surface area and volume of a regular octahedron Length of One Side A J PRGM 3 aav A 6 g 6 g 3 Surfa...

Page 318: ... Program Contents Now edit OCTA to produce the TETRA program 1 Edit the program name 6 g 2 REN ATETRAw 2 Edit the program contents 2 EDIT eeeeDD cdDbc i 3 Try running the program 1 EXE or w hw Value of A w w wbaw w w wbfw w ...

Page 319: ...the program 2 If there are no more instances of the data you specified the search operation ends and the cursor returns to the point from which you started your search You cannot specify the newline symbol _ or display command for the search data Once the contents of the program are on the screen you can use the cursor keys to move the cursor to another location before searching for the next insta...

Page 320: ...CTA 1 While the program list is on the display press 6 g 1 SRC and input the initial characters of the file you want to find 6 g 1 SRC OCT 2 Press w to search The name that starts with the characters you input highlights If there is no program whose file name starts with the characters you input the message Not Found appears on the display If this happens press i to clear the error message ...

Page 321: ... a Program u To delete a specific program 1 While the program list is on the display use f and c to move the highlighting to the name of the program you want to delete 2 Press 4 DEL 3 Press w Yes to delete the selected program or i No to abort the operation without deleting anything If the modifications you make result in a file name that is identical to the name of a program already stored in mem...

Page 322: ...ory Operations for details k k k k k Registering a password When inputting a program you can protect it with a password that limits access to the program contents to those who know the password You do not need to input the password to run a program Example To create a program file under the name AREA and protect it with the password CASIO 1 While the program list is on the display press 3 NEW and ...

Page 323: ...e file named AREA which is protected by the password CASIO 1 In the program list use f and c to move the highlighting to the name of the program you want to recall 2 Press 2 EDIT 3 Input the password and press w to recall the program Pressing w without inputting a password while saving a new program causes the file to be saved without a password Pressing w without inputting a password registers th...

Page 324: ...h 8 5 13 DrawR Con DrawR Plt 8 5 13 DrawR Con DrawR Plt 8 5 14 DrawStat 8 5 14 DrawWeb 8 5 14 Dsz 8 5 9 For To Step Next 8 5 4 Getkey 8 5 15 Goto Lbl 8 5 10 If Then Else IfEnd 8 5 4 Isz 8 5 11 Locate 8 5 16 Prog 8 5 7 Receive Send 8 5 17 Return 8 5 8 Stop 8 5 8 While WhileEnd 8 5 6 Input Command 8 5 2 Output Command 8 5 3 Multi statement Command 8 5 3 _ Carriage Return 8 5 3 Comment Text Delimiter...

Page 325: ...lculations numeric constants etc Alpha Characters Alpha characters indicate literal strings such as AB k k k k k Basic Operation Commands Input Command Function Prompts for input of values for assignment to variables during program execution Syntax variable name prompt variable name Example A Description This command momentarily interrupts program execution and prompts for input of a value or expr...

Page 326: ... statements connected with the multi statement command are executed non stop The multi statement command can be used to link two calculation expressions or two commands You can also use a carriage return indicated by _ in place of the multi statement command _ _ _ _ _ Carriage Return Function Connects two statements for sequential execution without stopping Description Operation of the carriage re...

Page 327: ... the condition is false execution jumps to the Else statement and then continues with the statement following IfEnd For To Step Next Function This command repeats everything between the For statement and the Next statement The starting value is assigned to the control variable with the first execution and the value of the control variable is changed according to the step value with each execution ...

Page 328: ...nted with each execution Do LpWhile Function This command repeats specific commands as long as its condition is true non zero Syntax Parameters expression Description This command repeats the commands contained in the loop as long as its condition is true non zero When the condition becomes false 0 execution proceeds from the statement following the LpWhile statement Since the condition comes afte...

Page 329: ...eEnd statement Since the condition comes after the While statement the condition is tested checked before the commands inside the loop are executed k k k k k Program Control Commands CTL Break Function This command breaks execution of a loop and continues from the next command following the loop Syntax Break Description This command breaks execution of a loop and continues from the next command fo...

Page 330: ... same main routine or it can be called up by any number of main routines Main Routine Subroutines D C E I J Prog E Prog I Prog J A Prog D Prog C Level 1 Level 2 Level 3 Level 4 Calling up a subroutine causes it to be executed from the beginning After execution of the subroutine is complete execution returns to the main routine continuing from the state ment following the Prog command A Goto Lbl co...

Page 331: ... program to stop Execution of the Return command within a subroutine terminates the subroutine and returns to the program from which the subroutine was jumped to Stop Function This command terminates execution of a program Syntax Stop Description This command terminates program execution Execution of this command inside of a loop terminates program execution without an error being generated ...

Page 332: ...mple Dsz B Decrements the value assigned to variable B by 1 Description This command decrements the value of a control variable by 1 and then tests checks it If the current value is non zero execution continues with the next statement If the current value is zero execution jumps to the statement following the multi statement command display command or carriage return _ Variable Value G G G G G 0 _...

Page 333: ...scribed above and Lbl n where n is the parameter referenced by Goto n This command causes program execution to jump to the Lbl statement whose n parameter matches that specified by the Goto statement This command can be used to loop back to the beginning of a program or to jump to any location within the program This command can be used in combination with conditional jumps and count jumps If ther...

Page 334: ...ps to the statement following the multi statement command display command or carriage return _ k k k k k Clear Commands CLR ClrGraph Function This command clears the graph screen and returns View Windows settings to their INIT values Syntax ClrGraph Description This command clears the graph screen during program execution ClrList Function This command deletes list data Syntax ClrList list name Clr...

Page 335: ...ata is deleted if nothing is specified for matrix name k k k k k Display Commands DISP DispF Tbl DispR Tbl No parameters Function These commands display numeric tables Description These commands generate numeric tables during program execution in accordance with conditions defined within the program DispF Tbl generates a function table while DispR Tbl generates a recursion table DrawDyna No parame...

Page 336: ... Function This command draws a graph Description This command draws a graph in accordance with current conditions DrawR Con DrawR Plt No parameters Function These commands use values in a generated table to graph a recursion expression with an bn or cn as the vertical axis and n as the horizontal axis Description These commands graph recursion expressions in accordance with current conditions with...

Page 337: ...hile DrawR Plt produces a plot type graph DrawStat Function This draws a statistical graph Syntax See 8 6 9 Using Statistical Calculations and Graphs in a Program Description This command draws a statistical graph in accordance with current statistical graph conditions DrawWeb Function This command graphs convergence divergence of a recursion expression WEB graph Syntax DrawWeb recursion type numb...

Page 338: ...key Description This command returns the code that corresponds to the last key pressed 64 79 78 68 58 48 77 67 57 47 76 66 56 46 75 74 54 44 63 73 53 43 33 62 72 52 42 32 61 71 51 41 31 65 55 45 36 35 26 25 69 59 49 39 29 28 38 27 37 A value of zero is returned if no key was pressed previous to executing this command This command can be used inside of a loop ...

Page 339: ...mber from 1 to 21 value and numeric expression string character string Description This command displays values including variable contents or text at a specific location on the text screen If there is a calculation input that calculation result is displayed The row is designated by a value from 1 to 7 which the column is designed by a value from 1 to 21 1 1 21 1 1 7 21 7 Example Cls_ Locate 7 1 C...

Page 340: ...ax Receive data Send data Description This command receives data from and sends data to a connected device The following types of data can be received sent by this command Individual values assigned to variables Matrix data all values individual values cannot be specified List data all values individual values cannot be specified ...

Page 341: ...G G G G G Function These relational operators are used in combination with the conditional jump command Syntax Parameters left side right side variable A to Z r numeric constant variable expression such as A 2 relational operator G G G G G left side relational operator right side ...

Page 342: ...ve down to the next line The screen scrolls automatically if the text causes the screen to become full k Using Matrix Row Operations in a Program These commands let you manipulate the rows of a matrix in a program For this program enter the RUN MAT Mode and then use the MAT Editor to input the matrix and then enter the PRGM Mode to input the program u To swap the contents of two rows Swap Example ...

Page 343: ...lculate a scalar product and add the results to another row Row Example 3 To calculate the scalar product of Row 2 of the matrix in Example 1 multiplying by 4 and add the result to row 3 The following is the syntax to use for this program Row 4 A 2 3_ Mat A Executing this program produces the following result 8 6 2 Using Calculator Functions in Programs Row Matrix name Multiplier Matrix name Multi...

Page 344: ...her The following shows various types of syntax you need to use when programming with graph functions View Window View Window 5 5 1 5 5 1_ Graph function input Y Type_ Specifies graph type X2 3 Y1_ Graph draw operation DrawGraph_ Example Program 1 ClrGraph_ 1 J661ci 2 View Window 10 10 2 120 150 50_ 2 K1i 3 Y Type_ 3 61db X 4 X 3 24X2 4X 80 Y1_ 4 J4bi 4 5 G SelOn 1_ 5 61b 6 DrawGraph 6 J662c Execu...

Page 345: ...h PlotOn X coordinate Y coordinate PlotOff X coordinate Y coordinate PlotChg X coordinate Y coordinate PxlOn line number column number PxlOff line number column number PxlChg line number column number PxlTest line number column number F Line X coordinate 1 Y coordinate 1 X coordinate 2 Y coordinate 2 Text line number column number text Text line number column number expression Tangent function X c...

Page 346: ...ow to specify the Dynamic Graph range inside a program Dynamic Graph range 1 D Start_ 5 D End_ 1 D pitch_ Example Program ClrGraph_ View Window 5 5 1 5 5 1_ Y Type_ AX 1 Y1_ 1 J4bi 1 2 D SelOn 1_ 2 62b 3 D Var A_ 3 2d 1 4 D Start_ 4 J5b 5 5 D End_ 5 5c 1 6 D pitch_ 6 5d 7 DrawDyna 7 J662d Executing this program produces the result shown here 8 6 5 Using Calculator Functions in Programs ...

Page 347: ...ange setting 1 F Start_ 5 F End_ 1 F pitch_ Numeric table generation DispF Tbl_ Graph draw operation Connect type DrawFTG Con_ Plot type DrawFTG Plt_ Example Program ClrGraph_ ClrText_ View Window 0 6 1 20 106 10_ Y Type_ 3X2 2 Y1_ 1 G SelOn 1_ 1 61b 0 2 F Start_ 2 J61b 6 3 F End_ 3 1c 1 4 F pitch_ 4 1d 5 DispF Tbl 5 J662eb 6 DrawFTG Con 6 J662ec Executing this program produces the results shown h...

Page 348: ...se when programming with Recursion Table Graph functions Recursion formula input an 1 Type_ Specifies recursion type 3an 2 an 1_ 4bn 6 bn 1_ Table range setting 1 R Start_ 5 R End_ 1 a0_ 2 b0_ 1 an Start_ 3 bn Start_ Numeric table generation DispR Tbl_ Graph draw operation Connect type DrawR Con_ DrawR Con_ Plot type DrawR Plt_ DrawR Plt_ Statistical convergence divergence graph WEB graph DrawWeb ...

Page 349: ...s shown here Numeric Table Recursion graph k k k k k Using List Sort Functions in a Program These functions let you sort the data in lists into ascending or descending order Ascending order 1 2 SortA List 1 List 2 List 3 Lists to be sorted up to six can be specified 1 5b 2 4e Descending order 3 SortD List 1 List 2 List 3 Lists to be sorted up to six can be specified 3 5c 4 5 6 1 63gc 2 3bc 3 3bd 4...

Page 350: ...an be omitted k k k k k Using Statistical Calculations and Graphs in a Program Including statistical calculations and graphing operations in program lets you calculate and graph statistical data u To set conditions and draw a statistical graph Following StatGraph you must specify the following graph conditions Graph draw non draw status DrawOn DrawOff Graph Type x axis data location list name y ax...

Page 351: ...t List 1 List 2 _ The same format can be used for the following types of graphs by simply replacing Hist in the above specification with the applicable graph type Histogram Hist Median Box MedBox Modified Box Modified Normal Distribution N Dist Broken Line Broken The following is a typical graph condition specification for a regression graph S Gph1 DrawOn Linear List 1 List 2 List 3 _ The same for...

Page 352: ...List 1 List 2 _ Example Program ClrGraph_ 1 S Wind Auto_ 1 2 3 List 1_ 1 2 3 List 2_ 2 3 4 5 S Gph1 DrawOn Scatter List 1 List 2 1 Square _ 6 DrawStat Executing this program produces the scatter diagram shown here k Performing Statistical Calculations Single variable statistical calculation 1 1 Variable List 1 List 2 Frequency data Frequency x axis data XList 1 4gb 8 6 11 Using Calculator Function...

Page 353: ...g can be specified as the calculation type LinearReg linear regression Med MedLine Med Med calculation QuadReg quadratic regression CubicReg cubic regression QuartReg quartic regression LogReg logarithmic regression ExpReg exponential regression PowerReg power regression 8 6 12 Using Calculator Functions in Programs Sinusoidal regression statistical calculation SinReg List 1 List 2 Logistic regres...

Page 354: ...bic Quart Log Exp Power Sin Lgstic 1VAR 2VAR Linear MedMed Quad Cubic Quart Log Exp Power Sin Lgstic x nPr nCr Ran P Q R t sinh cosh tanh sinh 1 cosh 1 tanh 1 r g DMS Pol Rec m n fn Factor Auto Cls PLOT LINE GRAPH Text PIXEL Tangnt Normal Invrse Circle Vert Horz Store Recall On Off Change Plot F Line Line Y dx On Off Change Test P C Ran _ P Q R t sinh_ cosh_ tanh_ sinh 1_ cosh 1 _ tanh 1 _ r g DMS...

Page 355: ...Web R Con R Con R Plot R Plt Command Prog_ Lbl_ Goto_ lsz_ Dsz_ Locate_ Getkey Send Receive If_ Then_ Else_ IfEnd For_ _To_ _Step_ Next While_ WhileEnd Do LpWhile_ Prog_ Return Break Stop G _And_ _Or_ Not_ ClrText ClrGraph ClrList_ ClrMat_ DrawStat DrawGraph DrawDyna DispF Tbl DrawFTG Con DrawFTG Plt DispR Tbl DrawWeb_ DrawR Con DrawR Con DrawR Plt DrawR Plt SHIFT VARS PRGM key Xmin Xmax Xscl Xdot...

Page 356: ... Bin Oct Level 1 Dec Hex Bin Oct Level2 Level3 Command Dec Hex Bin Oct CTRL F3 SETUP key Level 1 V Win Sto Rcl Level2 Level3 Command ViewWindow_ StoV Win_ RclV Win_ SHIFT OPTN V Window key BASE Program Level 1 Prog JUMP G Level2 Lbl Goto lsz Dsz G Level3 Command Prog_ Lbl_ Goto_ lsz_ Dsz_ G SHIFT VARS PRGM key 8 7 3 Program Mode Command List ...

Page 357: ...mber A and divides it by B 2 3 5 7 to find the prime factors of A If a division operation does not produce a remainder the result of the operation is assigned to A The above procedure is repeated until B A Example 440730 2 3 3 5 59 83 Program Name Prime Factorization 8 8 Program Library Be sure to check how many bytes of unused memory is remaining before attempting to perform any programming ...

Page 358: ...19990401 8 8 2 Program Library egcw w ww w ...

Page 359: ...etric sequence based on the differences and ratios of the terms Purpose This program determines whether a specific sequence is an arithmetic sequence or geometric sequence Example 1 5 10 15 Arithmetic sequence Example 2 5 10 20 Geometric sequence Program Name Arithmetic Geometric Sequence Differentiation 8 8 3 Program Library ...

Page 360: ...19990401 8 8 4 Program Library Example 1 Example 2 fw baw bf w fw baw ca w ...

Page 361: ... pitch step size of X Y1 Coordinate values of upper half of ellipse Y2 Coordinate values of lower half of ellipse Y3 Distances between right focus and loci Y4 Distances between left focus and loci Y5 Sum of Y3 and Y4 Next the program plots the foci and values in Y1 andY2 Purpose This program shows that the sums of the distances between the loci and two foci of an ellipse are equal Program Name Ell...

Page 362: ...19990401 8 8 6 Program Library ...

Page 363: ...e defined by an input vertex and then rotates it to a specified angle around the vertex Purpose This program demonstrates coordinate transformation using a matrix Important Deg must be set as the angle unit for this program Program Name Rotation 8 8 7 Program Library ...

Page 364: ...19990401 8 8 8 Program Library dw fcde wfcde wfcde fcde w daw w ...

Page 365: ...dinates for angles A B and C Purpose This program calculates the interior angles and surface area of a triangle defined by coordinates for angles A B and C Important Inputting the same coordinates for any two angles A B C causes an error Program Name Interior Angles and Surface Area of a Triangle 8 8 9 Program Library ...

Page 366: ...19990401 8 8 10 Program Library b awaw bwaw aw9d w ...

Page 367: ...settings The system settings menu lets you do the following View memory usage information Make contrast settings Make Auto Power Off settings Specify the system language Reset the calculator Tutorial Lock 9 1 Using the System Settings Menu 9 2 Memory Operations 9 3 System Settings 9 4 Reset 9 5 Tutorial Lock 9 ...

Page 368: ...m the Main Menu enter the SYSTEM Mode and display the following menu items 1 Mem display current memory status and delete data stored in memory 2 display contrast adjustment 3 APO Auto Power Off time setting 4 Lang system language 5 Reset system reset operations 6 T Lock Tutorial Lock ...

Page 369: ... data you want to delete 2 Press 1 DEL 1 3 If you selected List File Graph Memory V Win Memory Picture or H Copy Memory in step 1 a menu appears so you can select which data you want to delete Input a number to specify the data and then press w 4 In response to the confirmation message that appears press w Yes to delete the data you specified or i No to cancel Pressing i or i QUIT returns to the i...

Page 370: ... File List data Y Data Graph functions Draw Memory Graph drawing conditions View Window enlargement reduction factor Graph Memory Graph memory data V Win Memory View Window memory data Picture Picture memory data Table Function Table Graph data Dynamic Graph Dynamic Graph data Recursion Recursion Table Graph data Equation Equation calculation data Algebra Algebra variable data Alpha Memory Alpha m...

Page 371: ... QUIT returns to the initial System Settings Mode screen You can adjust contrast while any screen besides the Main Menu is on the display by pressing and then e or d To exit contrast adjustment press again k k k k k APO Settings You can specify either six minutes or 60 minutes as the Auto Power Off trigger time The initial default setting is six minutes While the initial System Settings Mode scree...

Page 372: ... c cursor keys to select the language you want and then press 1 Sel 3 The pop up window appears using the language you selected Check the contents and then press i Press i or i QUIT to return to the initial System Setting Mode screen 9 3 2 System Settings Installing a language with an add in causes the installed language to be selected as the system language automatically Changing the system langu...

Page 373: ...e memory data and main memory data clear 4 Init all memory clear 2 Press the function key that corresponds to the reset operation you want to perform 3 In response to the confirmation message that appears press w Yes to perform the reset operation you specified or i No to cancel 4 A message appears to let you know when the reset operation is complete Press m to return to the Main Menu 9 4 1 Reset ...

Page 374: ...the Tutorial Lock screen 2 Pressing 1 Lock displays the pop up menu 3 Pressing w Yes locks the Tutorial Mode so it cannot be used for 180 minutes Pressing i or i QUIT returns to the initial System Settings Mode screen Attempting to enter the Tutorial Mode while Tutorial Lock is enabled displays a screen that shows the remaining Tutorial Lock time Press i to return to the Main Menu ...

Page 375: ...tor to a CASIO Label Printer to print screen data To transfer data between a calculator and a personal computer you need to purchase the separately available CASIO FA 123 Connection Kit 10 1 Connecting Two Units 10 2 Connecting the Unit with a CASIO Label Printer 10 3 Connecting the Unit to a Personal Computer 10 4 Performing a Data Communication Operation 10 5 Data Communications Precautions 10 6...

Page 376: ...ard accessory u u u u u To connect two units 1 Check to make sure that the power of both units is off 2 Remove the covers from the connectors of the two units 3 Connect the two units using the cable Be sure you keep the connector covers in a safe place so you can replace them after you finish your data communications Keep the connectors covered when you are not using them Cable ...

Page 377: ...er models KL 2000 KL 2700 KL 8200 KL 8700 as of February 1999 uTo connect the unit to a Label Printer 1 Check to make sure that the power of the unit and the Label Printer is off 2 Connect the cable to the Label Printer 3 Remove the cover from the connector of the unit 4 Connect the other end of the cable to the unit 5 Turn on the power of the unit followed by the Label Printer After you finish da...

Page 378: ...e unit to a personal computer 1 Check to make sure that the power of the unit and the personal computer is off 2 Connect the personal computer to the FA 123 Connection Kit 3 Remove the cover from the connector of the unit 4 Connect the unit to the FA 123 Connection Kit 5 Turn on the power of the unit followed by the personal computer 10 3 1 Connecting the Unit to a Personal Computer Be sure you ke...

Page 379: ...nding a data 9 600bps sending a screen shot Parity PARITY NONE k k k k k Performing a Data Transfer Operation Connect the two units and then perform the following procedures Receiving unit To set up the calculator to receive data press 2 Recv while the data communication main menu is displayed The calculator enters a data receive standby mode and waits for data to arrive Actual data receive starts...

Page 380: ...urrnt to display a data item selection screen Sel selects data item where cursor is located All selects all data Trns sends selected data items Use the f and c cursor keys to move the cursor to the data item you want to select and press 1 Sel to select it Currently selected data items are marked with Pressing 6 Trns sends all the selected data items To deselect a data item move the cursor to it an...

Page 381: ...returns to data selection screen Press w Yes to send the data You can interrupt a data operation at any time by pressing A The following shows what the displays of the sending and receiving units look like after the data communication operation is complete Sending Unit Receiving Unit Press i to return to the data communication main menu 10 4 3 Performing a Data Communication Operation ...

Page 382: ... displays of the sending and receiving units look like after the data communication operation is complete Sending Unit Receiving Unit Press i to return to the data communication main menu 10 4 4 Performing a Data Communication Operation Data can become corrupted necessitating a RESET of the receiving unit should the connecting cable become disconnected during data transfer Make sure that the cable...

Page 383: ...ory 1 to 20 data No Dynamic Graph Dynamic Graph functions Yes Equation Equation calculation coefficient values No Alpha Memory Variable memory contents No Function Mem Function memory contents No CAS CAS formula data contents No Algebra Algebra data contents No H Copy Memory n H Copy screen shot Memory data No 1 to 20 Add in application Add in application data No names All add in applications are ...

Page 384: ...oes not receive any data approximately six minutes after it is set up to receive data When this happens press i to clear the error An error occurs during data communications if the cable becomes disconnected if the parameters of the two units do not match or if any other communications problem occurs When this happens press i to clear the error and correct the problem before trying data communicat...

Page 385: ...rform the procedures required to set it up to receive data 2 Display the screen you want to send 3 Press u6 H COPY u u u u u To save a screen shot in memory Memory 1 Display the screen you want to save 2 Press u6 H COPY You can store up to 20 screen shots in memory Saved screen shots are automatically assigned file names from Hcopy1 to Hcopy20 10 6 1 Sending a Screen Shot You cannot send the follo...

Page 386: ...l Printer On the computer or CASIO Label Printer perform the procedures required to set it up to receive data 2 In the LINK Mode press 1 TRNS e H Copy to display of list of screen shots in memory 3 Use the f and c cursor keys to highlight the name of the screen shot you want to send and then press 6 Trns 10 6 2 Sending a Screen Shot ...

Page 387: ... u u u Add in Application After you install an application its icon appears in the Main Menu and you can run it just as you would a built in application u u u u u Built in Application Upgrades These are upgrades for the applications that are pre programmed in the calculator s ROM The icon of the upgrade replaces the icon of the original application u u u u u On screen Message Language Data This da...

Page 388: ...the storage area for data you need to store securely for long periods and load into the current area only when you need it Use the MEMORY Mode to transfer data between the current area and storage area and to perform other memory management operations From the Main Menu select the MEMORY icon to enter the MEMORY Mode and display its initial screen PROG program file save load delete search BACK cur...

Page 389: ...plete appears when the store operation is finished Press i to return to the screen displayed in step 1 A Memory ERROR occurs and the store operation is terminated if the storage area becomes full The following message appears if there is already a program file in the storage area with the same name as the program file you are trying to save Press w Yes to save the new program file or i No to cance...

Page 390: ...age Complete appears when the load operation is finished Press i to return to the screen displayed in step 1 A Memory ERROR occurs and the load operation is terminated if the current area becomes full The following message appears if there is already a program file in the current area with the same name as the program file you are trying to load Press w Yes to load the new program file or i No to ...

Page 391: ...eration u To delete a storage area program file 1 On the initial MEMORY Mode screen press 1 PROG 2 Press 6 STRG This displays a list of program files that are in the storage area 3 Use the cursor f and c keys to highlight the name of the program file you want to delete and then press 2 DEL Press w Yes to delete the program file Press i No to cancel the delete operation u To delete all the program ...

Page 392: ...ile in the current area or in the storage area u To search for a program file in the current area 1 Example To search for all program files in the current area whose names begin with the letter C 1 On the initial MEMORY Mode screen press 1 PROG This displays a list of program files that are in the current area 2 Press 4 SRC Input the letter C for the keyword The first program file name that begins...

Page 393: ... files that are in the storage area 3 Press 4 SRC Input the letter S for the keyword The first program file name that begins with the letter S appears highlighted on display Press c or 1 SRC to highlight the next file name that matches your keyword Press f to highlight the previous file name that matches your keyword The message Not Found appears if there are no program file names that match your ...

Page 394: ... storage area Screen B appears if there is no backup data in the storage area Screen A Screen B 2 Press 1 SAVE to backup the data The message Complete appears when the backup operation is finished Press i to return to the screen displayed in step 1 The following message appears if there is already backup data in the storage area Press w Yes to back up the data or i No to cancel the backup opration...

Page 395: ...store operation is finished Press i to return to the screen displayed in step 1 u To delete backup data from the storage area 1 On the initial MEMORY Mode screen press 2 BACK On the screen that appears you can confirm whether or not there is backup data in the storage area 2 Press 3 DEL A message appears to confirm whether or not you really want to delete the backed up data Press w Yes to delete t...

Page 396: ...his you should periodically perform the storage area optimization procedure which rearranges the data in the storage area and makes memory usage more economical u To optimize the storage area On the initial MEMORY Mode screen press 3 OPT to start storage area optimization The message Complete appears when the optimize operation is complete Press i to return to the initial MEMORY Mode screen 10 8 9...

Page 397: ...19990401 Appendix 1 Error Message Table 2 Input Ranges 3 Specifications 4 Index 5 Key Index 6 P Button In case of hang up 7 Power Supply ...

Page 398: ...esting ERROR Stack ERROR Countermeasure Press i to display the error and make necessary correc tions Check input values and make corrections to ensure that values are within allowable limits 1 Correctly input a Lbl n to corres pond to the Goto n or delete the Goto n if not required 2 Store a program in program area Prog file name or delete the Prog file name if not required Ensure that Prog file n...

Page 399: ...en Real is specified for the Complex Mode setting on the SET UP screen even though the argument is a real number 2 Calculation that produces a complex number when Real is specified for the Answer Type setting on the SET UP screen even though the argument is a real number Keep the number of variables you use for the operation within the number of variables currently available Simplify the data you ...

Page 400: ...l calculation solution that satisfies operation ending condition tol value Problem with cable connection or parameter setting during program data communications Problem with cable connection or parameter setting during data communications Problem with cable connection or parameter setting during data communications Memory of receiving unit became full during program data communications Change all ...

Page 401: ... during add in installation or incorrect data transfer conditions Attempt to perform back up between two different models Overflow of the calculation range in the Algebre Mode Overflow of the input element range in the Algebre Mode Press w and try again Press i and try again Use two identical models Correct the input expression Correct the input expression ...

Page 402: ...ed at a certain point Complex numbers can be used as arguments Complex numbers can be used as arguments Complex numbers can be used as arguments Complex numbers can be used as arguments Complex numbers can be used as arguments Complex numbers can be used as arguments DEG x 9 109 RAD x 5 107 rad GRA x 1 1010 grad x 1 x 1 10100 x 230 2585092 x 1 10100 x 5 1099 1 x 5 1099 x 1 1 10 99 x 1 10100 1 1010...

Page 403: ...x 100 y y 0 x G G G G G 0 1 1 10100 logy 100 x y 0 x 0 1 y 0 x 2n 1 n n G G G G G 0 n is an integer or a fraction However 1 1 10100 log y 100 x Total of integer numerator and denominator must be within 10 digits includes division marks Errors may be cumulative and precision may be affected by xy x y x 3 x and other functions that require internal continuous calculations and by calculations involvi...

Page 404: ...ange Values fall within following ranges after conversion DEC 2147483648 x 2147483647 BIN 1000000000000000 x 1111111111111111 negative 0 x 0111111111111111 0 positive OCT 20000000000 x 37777777777 negative 0 x 17777777777 0 positive HEX 80000000 x FFFFFFFF negative 0 x 7FFFFFFF 0 positive ...

Page 405: ... consumption 0 2 W Approximate battery life Main LR03 AM4 230 hours continuous display of main menu 150 hours continuous operation 5 minutes calculation 55 minutes display R03 UM 4 140 hours continuous display of main menu 90 hours continuous operation 5 minutes calculation 55 minutes display Back up 2 years Auto power off Power is automatically turned off approximately six minutes or 60 minutes a...

Page 406: ...ns Method Start stop asynchronous half duplex Transmission speed BPS 38400 bits second normal 9600 bits second H Copy Send Receive Parity None Bit length 8 bits Stop bit Send 3 bits Receive 2 bits Includes parity None 1 bit X ON X OFF Control None ...

Page 407: ... 6 3 11 6 4 2 Calculation results of a single variable graph 6 2 4 6 4 2 CAS Mode 7 1 1 Catalog 1 3 5 Cell editing 3 1 3 Center 5 11 19 Circle 5 1 5 Clipboard 1 3 4 Column operations 2 8 9 Combination 2 4 9 Comments 5 10 3 Complex number calculations 2 6 1 CONICS Mode 5 1 5 Conjugate complex number 2 6 3 Connecting the unit to a personal computer 10 3 1 Connecting the unit with a CASIO Label Print...

Page 408: ...6 4 4 Exponential function 2 4 4 Exponential regression graph 6 3 8 F Factor zoom 5 2 9 File name editing 8 4 2 File name registering 8 1 1 8 1 2 Flash memory 10 8 1 FMEM 2 2 2 Focus 5 11 18 Formula memory 7 1 3 Formula number area 7 1 1 Fraction 1 2 5 2 4 10 Freehand drawing 5 10 5 Function analysis 5 11 1 Function memory 2 2 2 Function menu 1 2 3 5 2 11 Function edit change delete 5 3 3 G Genera...

Page 409: ...arithmic function 2 4 4 Logarithmic regression graph 6 3 8 Logical operation 2 7 4 Logistic regression graph 6 3 10 Low battery message 1 8 2 7 1 M Main screen 5 5 1 Manual graphing 5 6 1 Manual Mode 7 3 6 MatAns 2 8 1 Matrices using matrix commands 2 8 10 2 8 13 Matrix arithmetic operation 2 8 17 Matrix inversion 2 8 19 Matrix row operations in a program 8 6 1 Matrix transposition 2 8 18 Matrix d...

Page 410: ...ibution graph 6 4 7 Probability distribution calculations PROB 2 4 1 6 4 5 Program PRGM menu 1 6 1 Program file load 10 8 3 Program file searching 8 4 1 10 8 5 Program file store 10 8 2 Program files deleting 10 8 4 Program library 8 8 1 Program mode command 8 7 1 Program BASE Mode 8 2 2 Program deleting 8 4 2 Program editing 8 3 1 Program inputting 8 2 1 Program running 8 1 1 Program searching fo...

Page 411: ...Squaring a matrix 2 8 19 Stacks 2 2 6 STAT Mode 6 1 1 Statistical calculation data lists 6 4 1 Statistical calculations and graphs in a program 8 6 9 Statistical data list 6 1 1 Storage area 10 8 1 Sub screen 5 5 1 Submenu 1 2 3 System language setting 9 3 2 SYSTEM Mode 9 1 1 System setting menu 9 1 1 T Table Graph functions in a program 8 6 6 Table range 5 7 1 Table deleting 5 7 7 Tables 5 7 1 Ta...

Page 412: ...ne 7 1 10 denominator 7 1 14 diff 7 1 12 eliminate 7 1 16 eqn 7 1 16 exchange 7 1 15 expand 7 1 7 expToTrig 7 1 9 factor 7 1 7 gcd 7 1 14 getRight 7 1 16 lim 7 1 12 numerator 7 1 14 rclAllEqn 7 1 15 rclEqn 7 1 15 replace 7 2 1 rewrite 7 1 15 rFactor 7 1 7 simplify 7 1 9 solve 7 1 8 substitute 7 1 10 tanLine 7 1 14 taylor 7 1 13 tCollect 7 1 8 tExpand 7 1 8 trigToExp 7 1 9 7 1 12 7 1 13 7 1 13 ...

Page 413: ...on DrawR Plt 8 5 13 DrawR Con DrawR Plt 8 5 14 DrawStat 8 5 14 DrawWeb 8 5 14 Dsz 8 5 9 For To Step Next 8 5 4 Getkey 8 5 15 Goto Lbl 8 5 10 If Then Else IfEnd 8 5 4 Isz 8 5 11 Locate 8 5 16 Prog 8 5 7 Receive Send 8 5 17 Return 8 5 8 Stop 8 5 8 While WhileEnd 8 5 6 Input Command 8 5 2 Output Command 8 5 3 Multi statement Command 8 5 3 _ Carriage Return 8 5 3 Comment Text Delimiter 8 5 3 G G G G G...

Page 414: ...een to a connected device Activates shift functions of other keys and function menus u V Window K PRGM J Displays option menu Activates functions marked above function keys m Returns to the Main Menu A LOCK a Allows entry of alphanumeric characters shown in red Locks Unlocks entry of alphanumeric characters r x Displays the variable data menu Displays program command menu Enters character r M Pres...

Page 415: ...ing value to calculate tangent Press before entering value to calculate inverse tangent Enters letter F d c G Press between entering fraction values Converts fraction to decimal Displays improper fractions Enters letter G Enters letter H I Enters open parenthesis in formula Press before entering value to calculate cube root Enters letter I x 1 J Enters close parenthesis in formula Press after ente...

Page 416: ...nters letter T U List Mat b Enters number 1 Enters letter U V c Enters number 2 Enters letter V W d Enters number 3 Enters letter W X Addition function Specifies positive value Enters open bracket Enters letter X Y Subtraction function Specifies negative value Enters close bracket Inputs imaginary number unit Enters letter Y i Z a Enters number 0 Enters letter Z SPACE Enters decimal point Enters c...

Page 417: ...only while the front panel keys are disabled for some reason u DATA ERROR Message A data error indicates that data in calculator memory is seriously corrupted This can be due to exposure of the calculator to strong electrostatic charge temperature extremes high humidity etc A data error is indicated by appearance of the screen shown below Press the w key to reset the calculator The data error scre...

Page 418: ... in order to protect memory contents You will not be able to turn power back on until you replace batteries Be sure to replace the main batteries at least once every two years no matter how much you use the calculator during that time The batteries that come with this calculator discharge slightly during shipment and storage Because of this they may require replacement sooner than the normal expec...

Page 419: ...id letting the battery fluid come into direct contact with your skin Keep batteries out of the reach of small children If swallowed consult with a physician immediately u To replace the main power supply batteries Before replacing the main power supply batteries turn on the calculator and check to see if the Low Backup Battery message appears on the display If it does replace the memory back up ba...

Page 420: ...es 5 Load a new set of four batteries making sure that their positive and negative ends are facing in the proper directions BACK UP 6 Replace the back cover 7 Turn the calculator front side up and slide off its case Next press o to turn on power 7 3 Power Supply Power supplied by memory back up battery while the main power supply batteries are removed for replacement retains memory contents Do not...

Page 421: ...deleted 1 Press o OFF to turn off the calculator Warning Be sure to turn the calculator off before replacing battery Replacing battery with power on will cause data in memory to be deleted 2 Making sure that you do not accidently press the o key slide the case onto the calculator and then turn it over 3 Remove the back cover from the calculator by 1 pulling with your finger at the point marked 1 4...

Page 422: ... screw Next replace the back cover 8 Turn the calculator front side up and slide off its case Next press o to turn on power k About the Auto Power Off Function Calculator power turns off automatically if you do not perform any operation within the Auto Power Off trigger time you specify You can specify either six minutes or 60 minutes as the trigger time see APO Settings on page 9 3 1 To restore p...

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Casio ALGEBRA FX 2.0, User Manual

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