?? demorotdefinition.m
字號(hào):
disp('>> % | '); % | disp('>> % | ROTATION DEFINITION'); % | ROTATION DEFINITION disp('>> % |'); % | x = unit(e1-e2/3); %/ I = e1^e2; %/ angle = pi/6; %/ Rx = gexp(-I*angle)*x; %/ xper = x*I; %/ Iper = I/I3; %/ clf; %/ draw(x,'r'); GAtext(1.1*x+0.1*Iper,'x','r'); %/ draw(I*pi*norm(x)*norm(x),'y'); %/ axis off; %/ disp('>> % | '); % | disp('>> % | A vector x and a plane I containing it'); % | A vector x and a plane I containing it disp('>> % |'); % | GAprompt; %/ %GAview([0 90]); %/ draw(xper,'b'); GAtext(1.1*xper+0.1*Iper,'x_\perp = x {\fontname{times}I}','b'); %/ disp('>> % |'); % | disp('>> % | The perpendicular to x in that plane (its dual)'); % | The perpendicular to x in that plane (its dual) disp('>> % |'); % | GAprompt; %/ draw(Rx,'r'); GAtext(1.1*Rx+0.1*Iper,'Rx','r'); %/ DrawPolyline({(Rx^x)/x,Rx,inner(Rx,x)/x},'m'); %/ disp('>> % |'); % | disp('>> % | The rotated x can be composed from these, '); % | The rotated x can be composed from these, disp('>> % | in a coordinate-free manner.'); % | in a coordinate-free manner. disp('>> % |'); % | title('Rx = (cos \phi) x + (sin \phi) (x {\fontname{times}I}) = x (cos \phi + {\fontname{times}I} sin \phi) = x e^{{\fontname{times}I}\phi}'); %/ disp('>> ');
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