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Question posted by Roanic9 on July 31st, 2014

Fx115es How To Solve System Of Equations With Complex Numbers

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Related Casio FX 115ES Manual Pages

User Guide - Page 9

... Mode (1) Press N to display the mode menu. Select this type of operation: General calculations Complex number calculations Statistical and regression calculations Calculations involving specific number systems (binary, octal, decimal, hexadecimal) Equation solution Matrix calculations Generation of calculation that corresponds to the mode you can use to select. • To select the CMPLX...
User Guide - Page 11

...calculation results . To specify this: Show FREQ Column Hide FREQ Column Perform this key operation: 1Nc4(STAT)1(ON) 1Nc4(STAT)2(OFF) Specifying the Decimal Point Display Format To specify this decimal point display format: Dot (.) , Comma ( ) Perform this key operation: number... 1Nc2(d/c) Specifying the Complex Number Display Format To specify this complex Perform this key operation: 1Nc5(...
User Guide - Page 12

... is automatically input with Parenthesis When you input any of the functions shown below . 19(CLR)1(Setup)=(Yes) This setting: Calculation Mode Input/Output Format Angle Unit Display Digits Fraction Display Format Complex Number Format Statistical Display Decimal Point Is initialized to input the argument and the closing parenthesis ()). sin(, cos(, tan(, sin...
User Guide - Page 20

... in the CMPLX Mode, the following conditions apply respectively to two terms (an integer term is always used for display of trigonometric calculation results. Arithmetic calculations of the above ranges. k ' Form Calculation Range Note When performing complex number calculations in decimal form for input values outside of values with square root symbol ('), x2, x3, x-1 b. a.
User Guide - Page 27

.... In this case, however, the imaginary part will be added to or subtracted from Answer Memory if you change the calculation mode, or turn off the calculator. • If a CMPLX Mode calculation produces a complex number result, both the real part and imaginary part are updated whenever you press the A key, change to recall Answer Memory...
User Guide - Page 31

... contains an integral, derivative, Σ( function, Pol( function, Rec( function, or multi-statement. Appendix Calculate an +1 = an + 2n (a1 = 1) as XY + C = 0.) • SOLVE cannot be used to solve an equation. Example: Y = X + 5, X = sin(M), X + 3 = B + C, XY + C (Treated as the value of an changes from a2 to a5. (Results: a2 = 3, a3 = 7, a4 = 13, a5 = 21) *1 Assigns 1 to a1...
User Guide - Page 33

...number of functions. - Appendix Solve y = x2 - If it cannot find a solution, it displays a confirmation screen that shows "Continue: [=]", asking if you want to cancel the SOLVE operation. Press = to continue or A to continue. E-31 A periodic function (y = sin(x), etc.) - x + 1 for the following types of times. • SOLVE... Screen Contents Input equation Solution variable Math ...
User Guide - Page 34

... Hyperbolic Functions Hyperbolic and inverse hyperbolic functions can also be used in all calculation modes. Press the number key that are mainly about the functions that corresponds to the function you... of the current operation is one specified as complex numbers are in any calculation mode except for their arguments. • The angle unit required by pressing A. Before performing...
User Guide - Page 36

... specification of 1 × 10-5 is used when you do. • ∫(, d/dx(, Pol(, Rec(, and Σ( cannot be used in complex number calculations in the COMP, STAT, EQN, MATRIX, TABLE, and VECTOR calculation modes. • The X2, X3, X-1 functions can be used within an integration interval that is specified. A default value of the tolerance...
User Guide - Page 40

... use the functions shown below. !, Abs(, Ran#, nPr, nCr, Rnd( • These functions can be used in complex number calculations in the CMPLX Mode. Appendix How many four-person permutations and combinations are performing a real number calculation, this function simply obtains the absolute value. n and r must be different. The random 3 digit decimal values are examples...
User Guide - Page 44

...". Examples of the format a + bi. Complex Number Calculations (CMPLX) Your calculator can perform the following complex number calculations. • Addition, subtraction, multiplication, division • Argument and absolute value calculations • Reciprocal, square and cube calculations • Conjugate complex number calculations All calculations in this section, the W key is the...
User Guide - Page 45

...result, perform the following key operation at the end of the calculation. 12(CMPLX)3('r∠ θ ) Appendix 1 + i (= '2 ∠ 45) = 1.414213562 ∠ 45 k Conjugate Complex Number (Conjg) You can use the following operation to obtain a conjugate complex number. 12(CMPLX)2(Conjg) Appendix Determine the conjugate of the complex number 2 + 3i. • With Linear format, the real part and...
User Guide - Page 46

... to obtain the absolute value (|Z|) and argument (arg) on the Gaussian plane for a complex number of the format Z = a + bi. 1w(Abs); 12(CMPLX)1(arg) Appendix Obtain the absolute value and argument of 2 + 2i. *1 Absolute Value *2 Argument Statistical Calculation (STAT) All calculations in this section are performed in the STAT Mode (N3). To display the...
User Guide - Page 52

...menu item: When you want to obtain this: 1n 2o 3xσn 4xσn-1 5p 6yσn 7yσn-1 Number of samples Mean of the X-data Population standard deviation of the X-data Sample standard deviation of the X-data Mean of ...data 4maxY Maximum value of the Y-data E-50 See Appendix for information about the calculation formula used for each command. y = A + BX The following model equation.
User Guide - Page 53

...Appendix for information about the calculation formula used for linear regression calculations. E-51 Appendix Quadratic Regression Calculation: to • Examples...2 → n = ?) Commands when Quadratic Regression Calculation (_+CX2) Is Selected With quadratic regression, regression is ...number of y Appendix Linear Regression Calculation: to • Examples through all use ...
User Guide - Page 54

Compare the correlation coefficient for Other Types of Regression For details about the calculation formula of data samples. All calculations in this section are a large number of the command included in each regression type, refer to the indicated calculation formulas ( Appendix to ). Comments for logarithmic, e exponential, ab exponential, power, and inverse regression. (FREQ: ...
User Guide - Page 57

With the decimal number base, negative values are performed in the EQN Mode (N5). Before starting each calculation, be sure to re-enter the EQN Mode. E-55 Equation Calculations (EQN) All calculations in this section are displayed with a minus sign. k Equation Types An equation type menu appears when you want to input this: 5(Not) "Not(" function, which returns...
User Guide - Page 59

... screen for a quadratic or cubic equation, you cannot transform values to engineering notation while an equation solution is displayed. Appendix Equation Calculation: to Matrix Calculations (MATRIX) You can use f and..." in accordance with the input/ output format and complex number display format settings of the calculator's setup screen. • Note that the matrix selection screen also...
User Guide - Page 66

... constants in scientific calculations. When you want to both A and B. *1 cos θ = (A•B) , which becomes θ = cos-1 (A•B) AB AB *2 Size 1 vector perpendicular to recall. Input the two-digit number that are all of the built-in scientific constants. 01: proton mass; 02: neutron mass; 03: electron...
User Guide - Page 69

.... • The MATRIX Mode uses its own vector stack, which is a real number or a complex number. Stack Issues to be used in the case of whether the input value is used for internal calculation, and calculation precision depends on the type of calculation you are cumulative in combination with the general-purpose numeric stack. Precision for...

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