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abs-exp-plot2d
plot2d([abs(H2(f,16000))],[f,0,100]);

H(a1,a2,b0,b1,b2,z):=...

H2(f,Fs):=H(-1.978882...

plot2d([abs(H2(f,1600...

Calculate

abs-exp-plot2d
plot2d ( [ [discrete, xy],(125/((2*%pi*5630)^(1/2)))*exp( -((x-15)^2)/(2*5630) )],[x, -17, 17], [y,0,9],[style, points, lines], [color, red, blue],        [point_type, diamond],        [legend, "totti", "gauss"],        [xlabel, "frequency of occurrence"],        [ylabel, "averaged goal difference"], [logx,true], [logy,true]);

xy: [[-16, 1], [-15, ...

plot2d ( [ [discrete,...

plot2d ( [ [discrete,...

Calculate

abs-exp-plot2d
plot2d([abs(H8k1(f))],[f,0,4000]);

H(a1,a2,b0,b1,b2,z):=...

H8k1(f):=H(1.97778648...

H8k2(f):=H(-1.9777864...

Calculate

abs-exp-plot2d
plot2d ( [ [discrete, xy],(125/((2*%pi*5630)^(1/2)))*exp( -((x-15)^2)/(2*5630) )],[x, -17, 17], [y,0,9],[style, points, lines], [color, red, blue],        [point_type, diamond],        [legend, "totti", "gauss"],        [xlabel, "frequency of occurrence"],        [ylabel, "averaged goal difference"], [logx,true], [logy,true]);

xy: [[-16, 1], [-15, ...

plot2d ( [ [discrete,...

plot2d ( [ [discrete,...

Calculate

abs-exp-plot2d-slength
plot2d ( [ [discrete, xy],(125/((2*%pi*5630)^(1/2)))*exp( -((x-15)^2)/(2*5630) )],[x, -17, 17], [y,0,9],[style, points, lines], [color, red, blue],        [point_type, diamond],        [legend, "experiment", "theory"],        [xlabel, "pendulum

xy: [[-16, 1], [-15, ...

plot2d ( [ [discrete,...

plot2d ( [ [discrete,...

Calculate

abs-exp-plot2d
plot2d([abs(H1(f))],[f,0,5000]);

H(a1,a2,b0,b1,b2,z):=...

H1(f):=H(-1.978882,0....

plot2d([abs(H1(f))],[...

Calculate

abs-exp-plot2d
plot2d([abs(H(exp(2*%i*%pi*f/8000)))],[f,0,500]);

H(z):=(1-z^(-1))/(1-(...

plot2d([abs(H(exp(2*%...

Calculate

abs-exp-plot2d
plot2d([abs(H2(f,8000))],[f,0,4000]);

H(a1,a2,b0,b1,b2,z):=...

H2(f,Fs):=H(-1.978882...

plot2d([abs(H2(f,8000...

Calculate

abs-exp-plot2d
plot2d([abs(H1(f))],[f,0,5000]);

H(a1,a2,b0,b1,b2,z):=...

H1(f):=H(-1.978882,0....

plot2d([abs(H1(f))],[...

Calculate

abs-exp-plot2d
plot2d([abs(H16k(f))],[f,0,500]);

H(b0,b1,b2,a1,a2,z):=...

H16k(f):=H(0.994461,-...

plot2d([abs(H16k(f))]...

Calculate

[abs,exp,plot2d]

Run Example
(%i1)plot2d ([exp(abs(x))], [x,0,2*%pi]);
plotplot2d ([exp(abs(x))], [x,0,2*%pi]);
Run Example
H(a1,a2,b0,b1,b2,z):=(b0 + b1*z^(-1) + b2*z^(-2))/(1 + a1*z^(-1) + a2*z^(-2));
                                                   - 1       - 2
                                          b0 + b1 z    + b2 z
(%o1)         H(a1, a2, b0, b1, b2, z) := ----------------------
                                                  - 1       - 2
                                          1 + a1 z    + a2 z
(%i2) H8k1(f):=H(1.977786483776764, -0.978030508491796, 0.988954248067140, -1.977908496134280, 0.988954248067140, exp(%i*2*%pi*f/8000));
(%o2) H8k1(f) := H(1.977786483776764, - 0.9780305084918, 0.98895424806714, 
                                                                   %i 2 %pi f
                         - 1.97790849613428, 0.98895424806714, exp(----------))
                                                                      8000
(%i3) H8k2(f):=H(-1.977786483776764, 0.978030508491796, 0.988954248067140, -1.977908496134280, 0.988954248067140, exp(%i*2*%pi*f/8000));
(%o3) H8k2(f) := H(- 1.977786483776764, 0.9780305084918, 0.98895424806714, 
                                                                   %i 2 %pi f
                         - 1.97790849613428, 0.98895424806714, exp(----------))
                                                                      8000
(%i4) plot2d([abs(H8k1(f))],[f,0,4000]);
plotplot2d([abs(H8k1(f))],[f,0,4000]);plot2d([abs(H8k2(f))],[f,0,4000]);
plotplot2d([abs(H8k2(f))],[f,0,4000]);
Run Example
xy: [[-16, 1], [-15, 1], [-14, 1], [-13, 1], [-12, 1], [-11,1], [-10,3], [-9,3], [-8,3],[-7,5], [-6,6],[-5,6], [-4,7],[-3,7], [-2,8],[-1,7], [0,8],[1,7], [2,8], [3,5], [4,4], [5,2], [6,4], [7,4], [8,5], [9,5], [10,4], [11,2], [12,1], [13,1], [14,1], [15,1], [16,1], [17,1]];
(%o1) [[- 16, 1], [- 15, 1], [- 14, 1], [- 13, 1], [- 12, 1], [- 11, 1], 
[- 10, 3], [- 9, 3], [- 8, 3], [- 7, 5], [- 6, 6], [- 5, 6], [- 4, 7], 
[- 3, 7], [- 2, 8], [- 1, 7], [0, 8], [1, 7], [2, 8], [3, 5], [4, 4], [5, 2], 
[6, 4], [7, 4], [8, 5], [9, 5], [10, 4], [11, 2], [12, 1], [13, 1], [14, 1], 
[15, 1], [16, 1], [17, 1]]
(%i2) plot2d ( [ [discrete, xy],(125/((2*%pi*5630)^(1/2)))*exp( -((x-15)^2)/(2*5630) )],[x, -17, 17], [y,0,9],[style, points, lines], [color, red, blue],        [point_type, diamond],        [legend, "totti", "gauss"],        [xlabel, "frequency of occurrence"],        [ylabel, "averaged goal difference"], [logx,true], [logy,true]);
plotplot2d ( [ [discrete, xy],(125/((2*%pi*5630)^(1/2)))*exp( -((x-15)^2)/(2*5630) )],[x, -17, 17], [y,0,9],[style, points, lines], [color, red, blue],        [point_type, diamond],        [legend, "totti", "gauss"],        [xlabel, "frequency of occurrence"],        [ylabel, "averaged goal difference"], [logx,true], [logy,true]);plot2d ( [ [discrete, xy],(7.8)/((abs(x))^(11/10))],[x, -17, 17], [y,0,9],[style, points, lines], [color, red, blue],        [point_type, diamond],        [legend, "totti", "power low"],        [xlabel, "frequency of occurrence"],        [ylabel, "averaged goal difference"], [logx, true], [logy,true]);
plotplot2d ( [ [discrete, xy],(7.8)/((abs(x))^(11/10))],[x, -17, 17], [y,0,9],[style, points, lines], [color, red, blue],        [point_type, diamond],        [legend, "totti", "power low"],        [xlabel, "frequency of occurrence"],        [ylabel, "averaged goal difference"], [logx, true], [logy,true]);

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