background image

Copyright L

EXIBOOK

2002

- 37 -

GB

Example

xi

yi

28

2410

30

3033

33

3895

35

4491

38

5717

The data in the above can be
used to obtain the terms of
the regression formula and
the correlation coefficient.
Based on the regression
formula, estimated value y
can be obtained for xi=40,
and estimated value x can be
obtained for yi=1000.

Key Operation

28

2410

30

3033

33

3895

35

4491

38

5717

40 

1000

^

^

÷

MODE

Display

3.33220451

3.401197382
3.496507562
3.555348062

3.63758616

0.238801069

2.771866156

0.998906253

6587.674787

20.26225681

Remark

Clear memory

Constant term A

Regression coefficient B

Correlation coefficient r

y when xi=40

x when yi=1000

EXE

SHIFT

Scl

EXE

EXE

SHIFT

B

EXE

R

SHIFT

In

DT

SHIFT

,

In

DT

SHIFT

,

In

DT

SHIFT

,

In

DT

SHIFT

,

In

In

DT

SHIFT

,

EXE

SHIFT

SHIFT

y

^

Ans

e

x

SHIFT

EXE

In

EXE

SHIFT

SHIFT

x

^

Ans

e

x

SHIFT

e

x

EXE

A

SHIFT

SHIFT

^

^

3.  GRAPHS

3.1  BUILT-IN FUNCTION GRAPHS

The COMP mode of the RUN mode should be used when graphing function. Some graphs can be produced in the
SD and LR modes, but certain graphs cannot be produced in these modes. The BASE-N graphs making it possible to
produce the graphs of basic functions.

sin

cos

tan

arcsin (sin

-1

)

Arcos  (cos

-1

)

Arctan (tan

-1

)

sh

ch

th

argsh

argch

argth

x

2

log

ln

10

x

e

x

X

-1

3

Any time a built-in graph is executed, the ranges are automatically set to their optimum values, and any graph pre-
viously on the display is cleared.

Example 1: Sine curve                             

Example 2: y = 1/x graph

3.1.1  Overdrawing built-in function graphs

Two or more different built-in function graphs can be drawn together on the same display. Since the range
for the first graph is automatically set, all subsequent graphs on the same display are produced according
to the range of the first graph.
The first graph is produced by using the previously mentioned operation (Graph [function key] 

).

Subsequent graphs are produced using the variable x in the operation Graph [function key]

. By inputting 

after the function key, the range is unchanged and the

next graph is produced without clearing the existing display

+

MODE

Graph

sin

EXE

Graph

x

-1

EXE

EXE

X

ALPHA

EXE

X

ALPHA

Summary of Contents for GC1000i

Page 1: ...GB INSTRUCTION MANUAL GRAPHIC CALCULATOR GC500i GC1000i...

Page 2: ...GB Copyright LEXIBOOK 2002...

Page 3: ...S 37 3 1 BUILT IN FUNCTION GRAPHS 37 3 2 USER GENERATEDE GRAPHS 38 3 3 SOME GRAPHING EXAMPLES 47 4 PROGRAM CALCULATIONS 47 4 1 WHAT IS A PROGRAM 47 4 2 PROGRAM CHECKING AND EDITING Correction Addition...

Page 4: ...up to slip right into you pocket To use the GC500 GC1000 to its full potential be sure to carefully read this manual and keep it handy for future reference IMPORTANT RESET YOUR CALCULATOR BEFORE USING...

Page 5: ...not store the calculator or leave it in areas exposed to high temperatures or humidity or large amounts of dust When exposed to low temperatures the calculator may require more time to display results...

Page 6: ...ss and then key Green Press key in BASE N mode In red brackets Press key in SD or LR mode In addition to the above there are a number of key sequences indicated on the panel beneath the display such a...

Page 7: ...ection of these modes can be carried out by pressing when no specification has been made for the number of decimal places or significant digits The present status is not displayed so it is necessary t...

Page 8: ...mode and the unit of angular measurement For manual calculations and program execution RUN mode WRT displayed For writing or checking programs PCL displayed For clearing programs D displayed if is pr...

Page 9: ...betic characters or special characters Pressing displays A and allows the input of only one character After that the unit returns to the status it was in before the key was originally pressed Pressing...

Page 10: ...r Minus key Pressing followed by will recall the last calculation result It can be recalled by even after it has been cleared using the key or by switching the power off When used during program execu...

Page 11: ...y the x or y coordinate value Press following to plot a point on the graph screen To indicate data input within a programmed calculation or repeat calculation press and then Cls Graph Text Clear scree...

Page 12: ...Exponential key Oct o f Press prior to entering a value and press to obtain the natural logarithm of that value When pressed following the key the subsequently entered value becomes an exponent of e P...

Page 13: ...nter x any number press this key and then enter y any number to compute x to the power of y In the SD or LR mode this function is only available after pressing the key Press following the key to obtai...

Page 14: ...ional operators When functions with the same priority are used in series execution is performed from right to left ex ln 120 exp ln 120 Otherwise execution is from left to right Compound functions are...

Page 15: ...nput output range number of digits of this unit is 10 digits for a mantissa and 2 digits for an exponent Calculation however are internally performed with a range of 12 digits for mantissa and 2 digit...

Page 16: ...be displayed for the operations noted above 1 3 Ma ERROR 4 Stk ERROR 5 Mem ERROR 6 Syn ERROR 7 Arg ERROR Besides these there are an Ne ERROR nesting error and a Go ERROR These errors mainly occur whe...

Page 17: ...To clear the contents of all the memory To store the same numeric value to multiple memories press followed by Example to store a value of 10 in memories A through J 10 1 4 10Memory expansion Though...

Page 18: ...ansion an error will be generated The size of the memory expansion must be equal to or less than the number of steps remaining The expansion procedure expansion value can also be stored as program Usi...

Page 19: ...etween the and in this example Internal calculations are calculated with 12 digits for a mantissa and the result is displayed rounded off to 10 digits Internally however the mantissa of the result is...

Page 20: ...ew value Multiplication signs x immediately before memory names can be omitted 2 1 3 Memory calculations The contents of memories are not erased when power is off They are cleared by pressing followed...

Page 21: ...first exit the BASE N mode MODE 9 MODE 9 MODE 9 EXE EXE Rnd SHIFT Example 100 6 200 7 x14 123m x 456 m km 78g x 0 96 g kg Key Operation 100 6 4 5 3 200 7 14 200 7 14 123 456 78 0 96 Display 16 666666...

Page 22: ...Ans appears on the display along with the answer function value The value can be used in subsequent calculations Since the Ans function works just like any other memory it will be referred to as Ans m...

Page 23: ...beginning 2 2 5 Multi statement function The multi statement function available in program calculations can also be used in manual calculations With the multi statement function multiple statements a...

Page 24: ...2 Remark SHIFT EXE 4 MODE EXE 5 MODE EXE 6 MODE EXE 5 MODE SHIFT EXE 6 MODE SHIFT EXE 4 MODE EXE 4 EXE 4 MODE EXE 5 MODE EXE 5 MODE EXE 6 MODE SHIFT EXE 5 MODE SHIFT EXE 6 MODE SHIFT 5 MODE SHIFT SHIF...

Page 25: ...E 5 MODE EXE 4 MODE EXE EXE EXE EXE SHIFT sin 1 cos 1 SHIFT sin 1 SHIFT tan 1 SHIFT EXE SHIFT SHIFT cos 1 SHIFT x SHIFT Example Log 1 23 log101 23 ln90 loge90 Log456 ln456 4x 64 x log 4 log 64 x log 6...

Page 26: ...e BASE N mode 26 Copyright LEXIBOOK 2002 GB Key Operation 3 6 1 23 2 5 1 5 1 5 suite 30 20 15 0 88 4 2 1 5 2 3 4 5 Example sh 3 6 ch 1 23 th 2 5 ch1 5 sh1 5 e 1 5 Argsh30 Argch 20 15 Argth0 88 4 Argsh...

Page 27: ...ormed in the BASE N mode Key Operation 2 5 2 3 4 5 3 4 8 36 42 49 13 5 3 4 1 40 cont 2 4 6 8 3 4 7800 96 7800 96 2512549139 2141 2512549139 2141 Example 2 5 22 32 42 52 1 1 3 1 4 8 1x2x3x x8 3 36x42x4...

Page 28: ...4 Example 2 5 3 1 4 fractions decimal 3 456 78 8 11 13 Reduced 1 2578 1 4572 1 2 x 0 5 1 3 x 4 5 5 6 1 2x1 3 1 4x1 5 1 2 3 1 6 1 1 3 1 4 Display 3 13 20 3 65 8 11 13 115 13 04 6 066202547 NORM1 mode 0...

Page 29: ...imal are expressed as two s complements To distinguish the A B C D E and F used in the hexadecimal system from standard letters they appear as shown in the chart below Key Display A IB IC ID IE IF Cal...

Page 30: ...N b b 100100 b 111110111 Remark MODE EXE SHIFT h EXE SHIFT d EXE SHIFT b EXE o SHIFT Dec EXE Hex EXE EXE SHIFT h EXE SHIFT b Oct EXE EXE SHIFT d EXE SHIFT h Bin EXE 2 4 1 Binary octal decimal hexadec...

Page 31: ...o 2352 d 1258 Remark MODE EXE Bin EXE EXE Dec SHIFT o x EXE EXE Hex EXE Dec SHIFT h EXE EXE Oct SHIFT o EXE SHIFT SHIFT d h 2 4 3 Basic arithmetic operations using binary octal decimal and hexadecima...

Page 32: ...by pressing followed by the memory name and then i e 32 Copyright LEXIBOOK 2002 GB 120 1101 1010 A 7 5 3 2A 5D 1234 2FFFED Hex EXE Hex EXE EXE EXE Bin or SHIFT b and SHIFT h or EXE Not EXE Not EXE Sc...

Page 33: ...he number of times the data is repeated and then Key Operation Clears memory 55 54 51 55 53 54 52 cont 55 54 51 110 10 130 31 150 24 170 190 Copyright LEXIBOOK 2002 33 GB Example Data 55 54 51 55 53 5...

Page 34: ...e regression formula can be calculated using the following formulas y A B x x To obtain the estimated value y is used and to obtain estimated value x is used The correlation coefficient r for input da...

Page 35: ...lue x y is used Furthermore x x2 and xy are obtained by lnx lnx 2 and lnx y respectively Key Operation 29 1 6 50 23 5 74 38 0 103 46 4 118 48 9 80 73 35 18 1000 1 The data in the above can be used to...

Page 36: ...as the logarithm of y ln and the x data the same as that for linear regression Estimated values x and y based on the regression formula can be calculated using the following for mulas y A eBx x Corre...

Page 37: ...tion Some graphs can be produced in the SD and LR modes but certain graphs cannot be produced in these modes The BASE N graphs making it possible to produce the graphs of basic functions sin cos tan a...

Page 38: ...is as well as their scales distance between hash marks Before drawing a graph you should first specify range parameters to set the size of the graph Range parameter types Range parameters consist of t...

Page 39: ...lace in the calculation that caused the error Replay function and make the necessary corrections Inputting 0 for Xscl or Yscl does not set any scale Inputting a maximum value that is less than the min...

Page 40: ...rmula after pressing the key 2 3 4 The result produces a visual representation of the formula 3 2 3 Function graph overdraw Two or more function graphs can be overdrawn which makes it easy to determin...

Page 41: ...ver you try to change the factor value while a graph is displayed the display changes to the text screen automatically To return to the graph screen after changing the factor value press or or Press t...

Page 42: ...s you specified Let s take another look at the range parameters Xmin 540 Ymin 3 2 Xmax 540 Ymax 3 2 Xscl 180 Yscl 1 If you press again the graph is reduced once more by the factors you specified To re...

Page 43: ...press to display x coordinate value Press to change the coordinate display to show the y coordinate Now use the Zoom function to enlarge the graph First specify a factor of 2 on the x and y axes 2 Whe...

Page 44: ...lue remains on the display After the Trace function is executed and the text display is brought up using the key pressing causes the next graph to appear and the coordinate value to clear Examine the...

Page 45: ...w pointer to blink without clearing the present pointer 2 6 5 If x y coordinates are not specified for the Plot function the pointer appears at the center of the screen Set the following range values...

Page 46: ...ing the Line function Next a perpendicular will be drawn from the same point on the graph to the y axis First plot the point on the graph and use the cursor key to move the pointer to the y axis This...

Page 47: ...alculations The program feature is used for the conse cutive execution of formulas in the same way as the multi statement feature is used in manual calculations Programs will be discussed here with th...

Page 48: ...ram execution to stop temporarily and the latest formula result or alphanumeric characters and symbols to be displayed This command is used to mark positions in formulas where results are to be displa...

Page 49: ...ecuted The surface S and volume V for the regular octahedron in the sample problem are calculated Copyright LEXIBOOK 2002 49 GB A ALPHA x ALPHA WRT _ _ WRT 011 A 2x 3xA2 _ WRT 012 A 2x 3xA2 EXE x xy A...

Page 50: ...cation When the program has been improperly stored editing can also be performed by adding to it or erasing portions Here a new program will be created by checking and editing the previous sample prog...

Page 51: ...HA ALPHA x x2 ALPHA ALPHA A x ALPHA A xy A ALPHA ALPHA 2 MODE 1 MODE WRT 380 P_123456789 WRT 000 _A 2x 3xA2 EXE EXE EXE WRT 004 A 3xA2 2 WRT 015 3xA2 2 123 WRT 015 3xA2 2 12x _ Cursor located at begin...

Page 52: ...he calculation result of a numeric expression exceeds 10100 an illogical operation e g division by zero or the input of an argument that exceeds the input range of the function 3 Go ERROR Jump error I...

Page 53: ...the formula should be divided into two or more parts 6 Mem ERROR Check to see that memories were properly expanded using n Defm When using array type memories check to see that the subscripts are corr...

Page 54: ...iation calculations and regression calculations in a program a calculation mode must be specified Program mode specification and program area specification are performed at the same time First the WRT...

Page 55: ...is performed in the PCL mode Press to specify the PCL mode There are two methods used to erase programs erasing a program located in a single program area and erasing all programs 4 6 1 Erasing a sing...

Page 56: ...is number from 0 through 9 execution then jumps to Lbl n n is the same value as Goto n The unconditional jump is often used in simple programs to return execution to the beginning for repetitive calc...

Page 57: ...n t equal right side Left side right side left side is greater than or equal right side Left side right side left side is less than or equal right side Left side right side left side is greater than r...

Page 58: ...by 1 and decide the subsequent execution while the Dsz command is used to decrease the value by 1 and decide Example Increase memory A by one Isz A Decrease memory B by one Dsz B Program 1 0 A 0 C Lbl...

Page 59: ...for call up as required Example Determine the altitude at one second intervals of a ball thrown into the air at an initial velocity of V m sec and an angle of S The formula is expressed as h Vsin t 1...

Page 60: ...am Regular octahedron P0 Fix 3 A 2 x 3 x A x2 2 3 x A xy 3 23 steps Regular tetrahedron P1 Fix 3 A 3 x A x2 2 1 2 x A xy 3 22 steps Total 45 steps If the two programs are compared it is evident that t...

Page 61: ...e memories used have been referred to by single alphabetic characters such as A B X or Y With the array type memory introduced here a memory here a memory name one alphabetic character from A through...

Page 62: ...ap of memories The relation is as follows A 0 A 1 A 2 A 3 A 4 A 5 A 6 B 1 B 0 B 1 B 2 B 3 B 4 B 5 C 2 C 1 C 0 C 1 C 2 C 3 C 4 G 6 G 5 G 4 G 3 G 2 G 1 G 0 A 23 A 24 A 25 A 26 A 27 B 22 B 23 B 24 B 25 B...

Page 63: ...the x data The x data are stored in memories C 1 memory D through C 15 memory R and the y data are stored in memories C 16 memory S through C 30 memory Z 7 1 A Defm 7 Lbl 1 C A C A 1 5 Isz A A 1 6 Got...

Page 64: ...f space A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Other numbers symbols calculation commands program command 0 1 2 3 4 5 6 7 8 9 E x sin cos tan log ln A B C D E F d h b o Neg Not and or xo...

Page 65: ...l graph commands except the Trace function can be included in programs Range values can also be written into the program Generally manual graph operations can be used in programs without modification...

Page 66: ...ecimal conversions and calculations logical operations Standard deviation calculations 1 variable statistical Regression calculations paired variable statistical For production of single variable stat...

Page 67: ...Sum x x Sum of squares x2 x2 Mean x x Population standard deviation x n Sample standard deviation x n 1 x data y data frequency Frequency can be omitted x data y data frequency Frequency can be omitte...

Page 68: ...to that point is display The number of memories can be expanded from the standard Memories can be expanded in units of one up to for a total of 76 Eight steps are required for one memory number of me...

Page 69: ...mode Cursor is moved to the desired program area name P0 through P9 using and and is pressed Cursor is moved to position to be edited using or Press correct key for corrections Press for deletions Pr...

Page 70: ...is performed to the statement following the next or Increase When 0 Isz When 0 Decrease When 0 Dsz When 0 Statement Value in memory A display of Prog n n 0 to 9 will appear when a sub program is execu...

Page 71: ...ermeasure 1 Use or to display the point where the error was generated and correct it 2 Use or to display the point where the error was generated press AC and then correct the program in the WRT mode 1...

Page 72: ...0 x 1x10100 x 1 x1050 x 1x10100 x 0 x 1x10100 0 x 69 x est entier x2 y2 1x10100 0 r 1x10100 Deg 9x109 Rad 5x107 rad Gra 1x1010 grad a b c 1x10100 0 b c x 2 777777777x1096 Hexadecimal display x 277777...

Page 73: ...s a fraction for integer when integer numerator and denominator are less than 1x1010 x 1x1050 y 1x1050 n 1x10100 x n y n x y A B r n 0 x n 1 y n 1 n 0 1 Internal digits 12 digits Accuracy As a rules a...

Page 74: ...tion number of data sum sum of squares mean standard deviation two types Linear regression number of data sum of x sum of y sum of squares of x sum of squares of y mean of x mean of y standard deviati...

Page 75: ...l retailer with your proof of purchase Our war ranty covers all manufacturer defaults but does not cover deterioration due to non respect of the Instruction Manual or bad handling of the product like...

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