background image

Rectangular Form and Polar Form Conversion

Press                can convert rectangular form complex numbers into 

polar form; whereas press                  will convert polar form complex 

number into rectangular form. ......

  Press                     to enter CPLX mode. 

  Press          to select the calculation type.

Complex Number type selection

Thre are 6 types of complex number calculations in the Complex 

Number Type screen. Press the number to select the type of Complex 

Number Calculation.

  Check the current angle unit setting (Deg, Rad, Grad). 

  [ 

  

] indicates the display result is the imaginary number, 

  [     ] indicates the display value is the argument value   . 

  Imaginary numbers will use up replay memory capacity.

Absolute Value and Argument Calculation

With the rectangular form complex number, you can calculate the 

corresponding absolute value (r) or argument (   ) by pressing          or

               respectively. ...... 

Conjugate of a complex number

If the complex number is z = a + bi, the conjugate value of this 

complex number should be z = a – bi. ......

Determine the Real/Imaginary of complex number

EX #34

EX #35

EX #36

EX #37

  Press                   to enter Statistical calculation mode; the 

“STAT” indicator lights up. 

  Press                 (Type) to select the calculation type.

Statistical Calculations

 Base-n Calculations and Logical Calculations

 

Press                   to enter Base-n mode. 

  Decimal (base 10), hexadecimal (base 16), binary (base 2), 

octal (base 8), or logical calculations. 

  To select a specific number system in base mode, simply press 

          Decimal [DEC],         Hexadecimal [HEX],          Binary 

[BIN] or           Octal [OCT].

  Press         key to perform logical calculations including: Logic 

connection [and] / [or], exclusive or [Xor], exclusive nor [Xnor], 

argument complement [Not] and negation [Neg].

  If the binary or octal calculation result is more than 8 digits, 

  [1b] / [1c] will be displayed to indicate the result has a next 

block. Press          to loop between result blocks.  

  In Base-n mode all the scientific functions cannot be used, and 

you cannot input the value with decimal places or exponents.

EX  #38

Logical Operation ......

EX #40

15

Base-n Transformation

EX #39

....

Summary of Contents for X Mark I Pro

Page 1: ...ion P 3 Application Function Menu P 3 Calculator Set up Menu P 4 Before Using the Calculator P 5 Inputting Expressions and Values Input Capacity P 6 Input Editing P 6 Inputting and Display Result in Mathematics Mode P 6 Input Range and Error Messages P 7 Order of Operations P 7 Calculation Stacks P 7 Error Messages and Error Locator P 7 Basic Calculations Arithmetic Calculations P 8 Memory Calcula...

Page 2: ...ts Display Getting Started Power On Off First time operation 1 Remove the battery insulation tab to load the battery 2 Press to initialize the calculator Power ON When is pressed Power OFF When are pressed Auto Power off Function When the calculator is not used for approximately 7 minutes it will automatically power off Display Contrast Adjustment Press 6 CONT to enter the Display Contrast Adjustm...

Page 3: ... the Apps menu Press for next previous pages i COMP Mode ii CPLX Mode iii STAT Mode In SD mode In REG mode Press or key iv BASE Mode COMP Normal calculations CPLX Complex number calculation CPLX STAT BASE EQN Equation solution EQN TABLE Function table generation MATX Matrix calculations MATX VCTR Vector calculations VCTR INEQ Inequality calculations RATIO Ratio calculations Operation Mode LCD Indi...

Page 4: ...t or notation 6 Fix 7 Sci or 8 Norm 6 Fix Fixed Decimal Fix 0 9 appears specify the number of decimal places by pressing 0 9 Example 220 7 31 4286 FIX 4 31 43 FIX 2 7 Sci Scientific Notation Sci 0 9 appears specify the number of significant digits by pressing 0 9 Example 220 7 3 1429x101 SCI 5 3 143x101 SCI 4 8 Norm Exponential Notation Norm 1 2 appears specify the exponential notation format by p...

Page 5: ...ing the following key operations All YES Norm 2 Exponential notation is automatically used for integer values with more than 10 digits and decimal values with more than NINE decimal places Example 1 1000 1x10 3 Norm 1 0 001 Norm 2 To select the fraction format 1 a b c or 2 d c 1 a b c specify Mixed fraction display 2 d c specify Improper fraction display To select the complex number display format...

Page 6: ...g an Expression In Insert mode Move the cursor to the right of the character or function that needs to be deleted then press In Overwrite mode Move the cursor under the character or function being deleted then press X Mark I Pro allows you to input a single calculation with up to 99 bytes When input capacity is less than 10bytes the input cursor will change from to signaling that the memory is run...

Page 7: ...h the cursor positioned next to the error Press to clear the error message replay memory history and return to the initial display of the latest mode Calculation Stacks This calculator uses memory areas called stacks to temporarily store numeric value numbers commands x and functions according to their precedence during calculations The numeric stack has 10 levels and command stack has 128 levels ...

Page 8: ...e start end and step values and try again The calculator could not obtain a solution Dimension ERROR only in Matrix or Vector Check for errors in the equation that you input Input a value for the solution variable that is close to the expected solution and try again Variable ERROR only in SOLVE function Time Out ERROR only in Differential or integration Calculations Press or to display the locatio...

Page 9: ...r the most recent calculation result will be automatically stored into Answer memory whenever you press Answer memory can hold up to 18 digits Recall and use the latest stored Answer memory by pressing Answer memory is not updated when an error operation has been performed Answer memory contents can be maintained even after pressing changing the calculation mode or turning off the calculator Fract...

Page 10: ...ements Replay Memory Function Replay memory is only available in COMP mode After the calculation is executed the calculation input and result will be stored in the replay memory automatically Pressing or can replay the performed calculation input and result history After obtaining the calculation result on the display press or to edit the input expression of that result If the Indicator is on the ...

Page 11: ...ed containing 34 metric symbols you can press or to change the category selection page Input 1 79 0 0 mp mn me mµ ao Constant Value Calculations X Mark I Pro has total of 79 built in constant values you can enter or exit the constant value selection menu by pressing the following display will be shown You can go to the next or previous value selection pages by pressing or To select a constant valu...

Page 12: ...t the displayed value into the selected angle unit G R D EX 21 EX 22 Deg Rad Gra Units of 15º Multiples of radians Multiples of grads Angle Value Input Angle Unit Setting Input Value Range for form result 1 12 50 3 Hyperbolic sinh cosh tanh Inverse Hyperbolic sinh 1 cosh 1 tanh 1 functions Pressing enter sub hyperbolic menu Permutation Combination Factorial Permutation Combination Factorials and R...

Page 13: ...parentheses on the display NOTE During any calculation operations pressing or or or key will exit the prime factorization result display Use the setup menu to change the angle unit setting Deg Rad Gra or display digit setting Fix Sci Norm Math ERROR will be shown if decimal value fraction negative value calculation result or Pol Rec Q R is displayed EX 27 Example 99999 99999 32 x 11 x 41 x 271 x 9...

Page 14: ...s to ONLY change the calculation result value between fraction form Decimal form the other and calculation will display the decimal value only Display Values Exchange Convert rectangular coordinates x y to polar coordinates r θ Press for r or for θ EX 29 Convert polar coordinates r θ to rectangular coordinates x y Press for x or for y EX 30 EX 31 EX 32 EX 33 NOTE In some Calculation results pressi...

Page 15: ...er is z a bi the conjugate value of this complex number should be z a bi Determine the Real Imaginary of complex number EX 34 EX 35 EX 36 EX 37 Press to enter Statistical calculation mode the STAT indicator lights up Press Type to select the calculation type Statistical Calculations Base n Calculations and Logical Calculations Press to enter Base n mode Decimal base 10 hexadecimal base 16 binary b...

Page 16: ... into the above screen The following are the maximum number of lines for data input FREQ OFF Statistic type Single Variable only x input 40 80 2 Variable x y input 26 40 FREQ ON 1 variable STAT 2 variable STAT 1 variable STAT FREQ ON Input expression and display result values in the Statistical Data Input screen are in Line mode same as Comp mode with Line mode status After inputted the data press...

Page 17: ... To enter Distr sub menu P t Q t R t 8 Reg To enter Reg sub menu Regression calculation Description STAT items 1 variable STAT 2 variable STAT Statistical calculation result in 4 S SUM 5 S VAR 6 S PTS 8 Reg Summation of all x2 value Summation of all x value Summation of all y2 value Summation of all y value Summation of xy pairs Summation of all x3 value Summation of all x2y pairs Summation of all...

Page 18: ...ent expense in coded units the following data was obtained Advertisement expenses X 18 35 40 21 19 Effectiveness y 38 54 59 40 38 Statistical Calculation Example Please use the regression to estimate the effectiveness estimate the value of y if the advertisement expenses X 30 and estimate the advertisement expenses level estimate the value of X1 X2 for effectiveness y 50 EX 41 EX 42 Distribution C...

Page 19: ...Linear Equations with three unknowns 3 4 unknow EQN Simultaneous Linear Equations with four unknowns 4 Quad EQN Quadratic Equation degree 2 equation 5 Cubic EQN Cubic Equation degree 3 equation 6 Quartic EQN Quartic Equation degree 4 equation Description Equation Item Example Solve the simultaneous equation with three unknowns 2x 4y 4z 20 2x 2y 4z 8 5x 2y 2z 20 Simultaneous Linear Equations Simult...

Page 20: ...h with C h s r X Radius is 5cm cone height is 20cm calculate the cone volume And if the cone volume is 200cm3 with radius 2cm calculate the cone height EX 46 If the expression does not have the equal sign and perform the Solve calculation the calculator will transform the solution as zero 0 Solve function cannot be solved an equation When the expression cannot be solved Solve ERROR will be display...

Page 21: ...ifferential expression a x The differential expression must contain the variable x a is the differential coefficient x is the change interval of x calculation precision Example To determine the derivative at point x 10 x 10 8 for the function f x sin 3x 30 EX 48 You can leave out the x in the differential expression and the calculator will automatically substitute a value for x The smaller the ent...

Page 22: ... 4 x 4 Specify the matrix A D for editing and corresponding matrix element Select matrix A to D Calculation Answer of Matrix Store into MatAns Determinate function of Matrix A D Transposed data in Matrix A D Identity of matrix Adjoint to Matrix Inverse of Matrix DESCRIPTION MATX ITEM Example Multiple Matrix C by 2 Result 3 2 1 5 6 4 2 10 Obtain the Scalar Product of a Matrix Each position in the m...

Page 23: ...results are stored into VctAns memory automatically You can use the vector VctAns memory for any subsequent vector calculations Creating a Vector Press to enter Vector mode Press to use the Vector tool Press to exit the matrix creating screen 1 Dim 2 Data 3 VctA to VctD 4 VctAns 5 Dot Specify the Vector Name A to D and specify the dimension up to 3D Specify the Vector A D for editing and correspon...

Page 24: ... b VctB axs bxs Example To Multiply Vector C 4 5 6 by 5 EX 59 Calculate the Inner Product of Two Vectors Example Calculate the inner product of Vector A and Vector B As Vector A 4 5 6 and Vector B 7 8 9 EX 60 Calculate the Outer Product of Two Vectors Example Calculate the outer product of Vector A and Vector B As Vector A 4 5 6 and Vector B 7 8 9 An error occurs if you try to obtain an inner or o...

Page 25: ...s also cannot be input with the Coefficient Editor Math ERROR will occur if a calculation is performed while 0 is input as a coefficient Pol Rec Q r S functions can not be used in the Function Input screen The Function Table Calculation will change X variable 3 The input the start end step information Input the value press to confirm on the following screens Input expression and display result val...

Page 26: ...7 oz Specifications are subject to change without notice Advice and Precautions This calculator contains precision components such as LSI chips and should not be used in places subject to rapid variations in temperature excessive humidity dirt or dust or exposed to direct sunlight The liquid crystal display panel is made of glass and should not be subjected to excessive pressure When cleaning the ...

Page 27: ... I Pro USER INSTRUCTION BENUTZERHANDBUCH GUIDE DE L UTILISATEUR GUÍA DE USUARIO MANUALE DELL UTENE GEBRUIKERSGIDS BURGERVEJLEDNING KÄYTTÖOHJEET INSTALLATIONSGUIDE MANUAL DO UTILIZADOR ОΔНГІЕΣ ΧΡΗΣΗΣ E IM 2741 ...

Page 28: ... 54 000 Fax 301 95 77 963 CANON ESPAÑA SA C Joaquin Costa 41 28002 Madrid Spain Comp Book Ekδόσεις Πληροφορικής Στουρνάρα 37 Aγ Aνάργυροι 135 62 Aθήνα Τηλ 01 2692384 5 E mail compbook hol gr CANON SCHWEIZ AG Industriestrasse 12 8305 Dietlikon Switzerland CANON GmbH Zetschegasse 11 A 1230 Vienna Austria CANON CEE GmbH Oberlaaer Strasse 233 A 1100 Vienna Austria Europe Africa and Middle East SLOVENI...

Reviews: