Sharp EL-9600, EL-9400 manual Start Array declaration Entry of coordinates X,Y, Entry of type

Page 19

EL-9600 Graphing Calculator

Linear Transformation

Use the matrix to find four types of the linear transformation of x-axis symmetric transformation, y-axis symmetric transformation, similar transformation and revolution around the origin.

Calculation

1.Symmetric transformation to x-axis (Case 1)

(X'Y') = (10 -01 ) ( XY )

2.Symmetric transformation to y-axis (Case 2)

(X'Y') = (-01 10 ) ( XY )

3.Similar transformation with ratio of similitude K around origin (Case 3)

(X'Y') = (K0 K0 ) ( XY )

4.Transformation revolving around only angle B at the origin (Case 4)

X'

cos B

-sin B X

(Y') = (sin B

cos B ) ( Y )

FLOWCHART

 

PROGRAMME LIST

 

 

(MATRIX MODE)

 

 

 

Start

Array declaration

Entry of coordinates (X,Y)

TYPE

Entry of type

s = 1

Y

 

To label XSYMMETRY

 

 

 

 

 

 

 

N

Y

 

 

 

 

 

s = 2

 

To label YSYMMETRY

 

 

 

 

 

N

Y

 

 

 

 

 

s = 3

 

To label SYMRATIO

 

 

 

 

 

N

Y

 

 

 

 

 

s = 4

 

 

To label ROTATE

 

 

 

 

 

 

N

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Label XSYMMETRY

 

 

Label YSYMMETRY

 

 

 

 

 

 

 

Transformation data set

 

 

Transformation data set

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Label SIMRATIO

 

 

Label ROTATE

 

 

 

 

 

 

 

Entry of ratio of similitude

 

 

Entry of angle

 

 

 

 

 

 

Data set of transformation

 

 

Data set of transformation

 

Coordinate transformation

Display of coordinates after transformation

End

Declare array size, etc. matH(2,2), matD(2,1), matA(2,1)

Enter coordinates before transformation.

Type of transformation specified with no from 1 to 4.

Jumps to destination corresponding to entered number.

XSYMMETRY

Data set of x-axis symmetric transformation matH(1,1) = 1, matH(1,2) = 0, matH(2,1) = 0, matH(2,2) = -1

YSYMMETRY

Data set of y-axis symmetric transformation matH(1,1) = -1, matH(1,2) = 0, matH(2,1) = 0, matH(2,2) = 1

SIMRATIO

Data set of similar transformation Entry of ratio of similitude (R)

matH(1,1) = K, matH(1,2) = 0, matH(2,1) = 0, matH(2,2) = θ

Data set of transformation by revolving Entry of angle (A)

matH(1,1) = cos B, matH(2,1) = sin B, matH(1,2) = -sin B, matH(2,2) = cos B,

Matrix H multiplied by matrix D.

Coordinates displayed.

Title : LINE TRNS

{2, 2} dim(mat H) {2, 1} dim(mat D) {2, 1} dim(mat A) Print "Input POINT Input X

Input Y

Xmat D(1, 1)

Ymat D(2, 1) Label TYPE

Print "SELECT 1/2/3/4 Input S

ClrT

If S=1 Goto XSYMMETRY If S=2 Goto YSYMMETRY If S=3 Goto SIMRATIO

If S=4 Goto ROTATE GotoTYPE

Label XSYMMETRY 1 mat H(1, 1)

0 mat H(2, 1)

0 mat H(1, 2) -1 mat H(2, 2) Goto TRANS Label YSYMMETRY -1 mat H(1, 1)

0 mat H(2, 1)

0 mat H(1, 2)

1 mat H(2, 2) Goto TRANS Label SIMRATIO

Print "Input SIMILITUDE RATIO Input R

RK

Kmat H(1, 1)

0 mat H(2, 1)

0 mat H(1, 2) θ mat H(2, 2) Goto TRANS Label ROTATE Print "Input ANGLE Input A

AB

cos B mat H(1, 1) sin B mat H(2, 1) -sin B mat H(1, 2) cos B mat H(2, 2) Label TRANS

mat Hmat D mat A Print "mat A(1, 1) Print mat A(1, 1) Print "mat A(2, 1) Print mat A(2, 1)

End

14

Image 19
Contents EL-9600/9400 Creating a new programme To finish editingExecute Sending programmes from a PCClick on the OK button To display the execute menuNot pair dx Invalid Matrix definition error DimensionStat calculation No argument enteredLayout = D D a D B D C = a + B + C Flowchart Programme List Real ModeParameters Print T Print S= End Sin B= W Sin B = W Sin aTension T is 21.840kg Tanθ i θ i -a Tan 2 θ Flowchart Programme Listreal ModeSpecify the programme mode Cos θ Flowchart Program Listreal ModeDisplay of luminous intensity Entry of time Calculation Angular velocity, etc FlowchartStart Entry of period and amplitude Print Input Period Print Input AmplitudeSelect the title Oscillat Print Z Wait Xmin Ymin End Draw N M sin W Print WATT=Select the title AC Power Inner product Flowchart Programme Listmatrix ModeCalculating vector inner product Start Entry of number of vectors Definition of arraysDisplay of angle of vector Label Simratio Label Rotate Start Array declaration Entry of coordinates X,YEntry of type To label Ysymmetry To label Symratio To label RotateSelect the title Line Trns = 1 + + M-1 Hi =Parameters Start Graph plot Flowchart Programme Liststat ModeEnter statistical data into L1 and L2 Calculation of step Gosub Start Entry of data Initial settingGosub Calculation of step GosubSelect the title Runge Flowchart Programme List Stat Mode Analysis of variance chart of one-way layout methodSelect the title Variance Enter the statistical data Calculation Plotting of graph = D + T/100 ≤ T Entry of time = V 0 cos θ T = V 0 sin θ TCalculation and display from released angle 45˚ Entry of released angleSpecify the programme mode Key pad for the Sharp EL-9600 Calculator Key pad for the Sharp EL-9400 Calculator Introduction and Calculation Parameters Programme List Sharp Corporation OSAKA,JAPAN
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EL-9600, EL-9400 specifications

The Sharp EL-9400 and EL-9450 are advanced programmable scientific calculators designed for professionals and students alike. Renowned for their versatile functionality and user-friendly interface, these calculators are popular in the fields of engineering, mathematics, and the sciences.

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