# Freemat Exponential Screw Recipe

Plotting the Exponential S

t = linspace(0, 3*pi, 1000); f = exp(i*t); sizefig(640,800) plot3(real(f), imag(f), t, 'LineWidth',3) hold on plot3(cos(t),zeros(size(t))-3, t); plot3(zeros(size(t))-3, sin(t), t); plot3(cos(t), sin(t), zeros(size(t))); grid on axis([-3 3 -3 3 0 4*pi] ) view(125,65) zlabel('T') xlabel('I') ylabel('R') title('Euler''s Formula')

x = 0:0.1:10; yz = exp(1i*x); plot3(x, real(yz), imag(yz)) ylabel('\Re(e^{1i*x})'); zlabel('\Im(e^{1i*x})');

t = linspace(0, 3*pi, 500); f = exp(i*t); figure plot3(real(f), imag(f), t, 'LineWidth',3) hold on plot3(real(f), zeros(size(t))+1.5, t) plot3(zeros(size(t))-2, imag(f), t) grid on axis([-2 2 -1.5 1.5 0 3*pi] ) view([-125 30])

t = linspace(0, 2.5, 250); f = exp(2*pi*4/2.5*1i*t); figure(1) plot3(t, real(f), imag(f), 'LineWidth',2) hold on plot3(t, real(f), zeros(size(t))-1.5) plot3(t, zeros(size(t))-2, imag(f)) hold off grid on axis([-1 3 -2 2 -1.5 1.5]) view([-125 30]) xlabel('Time', 'Rotation',-30) ylabel('Real Axis', 'Rotation',10) zlabel('Imag Axis')

<< Freemat | Freemat Recipes Trail | Freemat >>

*Sources:*

*Recommended:*

** Categories:** Freemat

** Tags:** Xxx Exponential Xxx Euler

This is a student's notebook. I am not responsible if you copy it for homework, and it turns out to be wrong.

**Backlinks**

This page is FreematExponentialScrew