Canon F792sga Owners Manual
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39 51 Important precaution when using “Solve” function:• The following functions , , ∑, , Pol, Rec, Q…r, Rand, i-Rand or multi-statement are not allowed to input into an equation for SOLVE function. • Since SOLVE function uses Newton’s Method to obtain the solution, even if there are multiple solutions, only one of them will be shown as the solution. • SOLVE function may not be able to obtain a solution because of preset initial value of the solution variable. In case this happens, try to change the initial value of the solution variable. • SOLVE function may not be able to find the correct solution, even if the solution(s) exists. • If an equation contains input functions that include an open parenthesis, do not omit the closing parenthesis. • It will show “Variable ERROR” when the expression does not contain the variable that you want to solve. • Newton’s Method may have problems for solving the following types of functions, for example y = e x , y = , y = sin(x), y = x, etc.• In case the equation takes long time for solving, the calculator will display “PROCESSING” screen, you can cancel the processing of SOLVE operation by pressing the key. X= B2C B? 0 C? 0 Solve for X 0 X= B 2C X= 523.5987756 L -R = 0 Display Key in Operation Initial value 1 3 Solution variable Solution 1 3 Example: To solve X= B2C (when B=5; C=20) 1 3 d dx • The Precision of Solution shows the result when the obtained solution is assigned to the solution variable. The precision of the obtained solution is higher if this value is closer to zero. Continue Screen • SOLVE performs convergence a preset number of times. If it cannot find a solution, it displays a confirmation screen that shows “Continue: [=]”, asking if you want to continue. Press to continue or to cancel the SOLVE operation. 1x√ Precision of solution
40 52 Example: For the equation Y = 5x2 – 2x +1, calculate the value of Y if x = 5 or x = 7. ! The stored expression will be cleared when you start a new calculation, change into another mode, or turn off the calculator. (COMP MODE)0 Y=5X2–X+1 0 Y=5X 2–X+1 11 6 Y=5X 2–X+1 232 Display Key in operation LINE MODE: (COMP MODE) 0 d/dx(sin(3X+30) 0.02617993878 Display Key in operation CALC function is a memory zone with a maximum of 79 steps to store a single calculation expression which can be recalled and calculated a number of times with different values. After inputting the calculation expression and pressing , the calculator will request for the current value of your input variables. CALC function can only be used in COMP mode or CPLX mode. CALC Function Differential Calculations Differential Calculations can be used in the COMP mode only. To perform a differential calculation, you have to input the expression in the form of: f(x) a ∆x Your calculator performs differential calculations by aprroximating the derivative based on centered difference approximation. Example: To determine the derivative at point x = 10, ∆x = 10 -8, for the function f(x) = sin(3x + 30) • f(x) : Function of X. (All non-X variables are treated as constants.)• a : Differential point. • ∆x : Tolerance (calculation precision); for Line mode only LINE MODE:
41 53 0 d/dx(sin(3X+30) 0.02617993878 Display Key in operation 0 236 (5X^(4)+3X2+2X Integration Calculations Integration Calculations can be used in the COMP mode only. To perform an integration calculation you are required to input the following elements: f(x) a b n • f(x) : Function of X. (All non-X variables are treated as constants.) • a, b : The integration range of the definite integral. • n : Tolerance; for Line Mode only The integration calculation is based on Gauss-kronrod method. The internal integration calculations may take considerable time to complete. For some cases, even after considerable time is spent performing a calculation, the calculation results may be erroneous. Particularly when significant digits are less than 1, an ERROR might occur. Example: Perform the integration calculation , with n = 4. ! You can leave out the ∆x in the differential expression and the calculator will automatically substitute a value for ∆x. ! The smaller the entered value ∆x is, the longer the calculation time will be with more accurate results, the larger the entered value ∆x is, the shorter the calculation time will be with comparatively less accurate results. ! Inaccurate results and errors can be caused by the following : • Discontinuous points in x values • Extreme changes in x value • Inclusion of the local maximum point and local minimum point in x values. • Inclusion of the inflection point in x values • Inclusion of undifferentiable points in x values • Differential calculation results approaching zero ! When performing differential calculations with trigonometric functions, select radian (Rad) as the angle unit setting. ! Log ab, i~Rand(, Rec( , Pol(, ∫(, d/dx(, ∑(, ∏(, Max( and Min( functions cannot join in differential calculations. ! You can cancel the processing of differential calculation by pressing the key. LINE MODE:
42 54 Creating a Matrix Press to enter Matrix mode. Press to use the MATX application; press / for next / previous pages . Press to exit the matrix creating screen. [1] Dim [2] Data [3] MatA to MatD [4] MatAns [5] Det [6] Trn [7] Ide [8] Adj [9] Inv Specify the Matrix memory A to D, and specify the dimension (up to 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 Item Press [ ] or [ ] key Apps Before starting matrix calculations, you have to create one matrix or a maximum of four matrices named A, B, C and D at one time. The matrix dimension can be up to 4x4. The matrix calculation results are stored into the MatAns memory automatically. You can use the matrix MatAns memory for any subsequent matrix calculations. Matrix Calculations Press to enter Matrix mode. ! You can leave out the n in the Integration expression and the calculator will automatically substitute a value for n. ! The smaller the entered value n is, the longer the calculation time will be with more accurate results, the larger the entered value n is, the shorter the calculation time will be with comparatively less accurate results. ! When performing integration calculations with trigonometric functions, select radian (Rad) as the angle unit setting. ! Log ab, i~Rand(, Rec( , Pol(, ∫(, d/dx(, ∑(, ∏(, Max( and Min( functions cannot join in integration calculations. ! A “Time Out” error occurs when an integration calculation ends without the ending condition being fulfilled. ! You can cancel the processing of integration calculation by pressing the key.
43 55 Editing Matrix Data Press (Data), then specify the matrix A, B, C or D for editing and the corresponding matrix element indicator will be displayed. Input the new value and press to confirm the edit. Press to exit the matrix editing screen. Matrix Addition, Subtraction and Multiplication Example: MatA = , MatB = , MatA x MatB=? ! Matrices which will be added, subtracted, or multiplied must be the same size. An error occurs if you try to add, subtract, or multiply matrices whose dimensions are different from each other. For example, you cannot add or subtract a 2 x 3 to or from a 2 x 2 matrix. 1 2 3 4 5 6 7 8 99 8 7 6 5 4 3 2 1 Display Key in operation Apps Apps Apps Apps
44 56 Obtain the Determinant of a Matrix Example: Obtain the determinant of Matrix C = Example: Multiple Matrix C = by 2 3 -2 -1 5 6 -4 -2 10 10 -5 3 - 4 9 2 1 7 -3 Obtain the Scalar Product of a MatrixEach position in the matrix is multiplied by a single value, resulting in a matrix of the same size. Display Key in operation Display Key in operation Apps Apps Apps Apps Apps ! An error occurs if you obtain the determinant of a non-square matrix.
45 57 Transpose a Matrix Example: Transpose Matrix B = 9 5 6 2 8 4 Identity of Matrix Example: Identity of Matrix D 9 6 8 5 2 4 Display Key in operation Display Key in operation 1 0 0 1 Apps Apps Apps Apps
46 58 Invert a Matrix Example: Inverting Matrix C = Adjoint of Matrix Example: Adjoint Matrix A < Result: > 8 2 3 6 0.142857142 -0.047619047 -0.071428571 0.19047619 Display Key in operation 2 3 4 55 - 3 -4 2 Display Key in operation Apps Apps Apps Apps Apps Apps
59 47 Determine the Absolute Value of a Matrix Example: To determine the absolute value of the inverted Matrix C in the previous example. Vector Calculations Press to enter Vector mode. Before starting vector calculations, you have to create one or more vectors named A, B, C and D (maximum four vectors at one time). The vector calculation 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; Display Key in operation Abs 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 (2D or 3D) Specify the Vector A-D for editing and corresponding matrix elements Select Vector A to D Calculation Answer of Vector stored into VctAns Input the “▪” command for obtaining the dot product of a vector outside VCTR MODE AppsDescription Item Apps Apps
60 48 Editing Vector Elements Press (data), then specify the Vector A, B, C or D for editing, and the corresponding vector element indicator will be displayed. Input the new value and press to confirm the edit. Press to exit the vector editing screen. Vector Addition and Subtraction Example: Vector A = (9,5), Vector B = (7,3), Vector A – Vector B =? ! An error occurs if you try to add or subtract vectors whose dimensions are different from each other. For example Vector A (a,b,c) cannot add or subtract to or from Vector B (d,e). Display Key in operation Apps Apps Apps Apps