📄 exm07421_1.m
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%exm07421_1.m
clf,shg
x=3*pi*(-1:1/15:1);y=x;[X,Y]=meshgrid(x,y);
R=sqrt(X.^2+Y.^2)+eps;Z=sin(R)./R;
[dzdx,dzdy]=gradient(Z);
dzdr=sqrt(dzdx.^2+dzdy.^2); %计算对r的全导数
dz2=del2(Z); %计算曲率 <4>
figure(1)
subplot(1,2,1),surf(X,Y,Z),title('No. 1 surf(X,Y,Z)')
shading faceted,colorbar('horiz'),brighten(0.2)
subplot(1,2,2),surf(X,Y,Z,R),title('No. 2 surf(X,Y,Z,R)')
shading faceted;colorbar('horiz')
figure(2)
clf;subplot(1,2,1),surf(X,Y,Z,dzdx)
shading faceted;brighten(0.1);colorbar('horiz')
title('No. 3 surf(X,Y,Z,dzdx)')
subplot(1,2,2),surf(X,Y,Z,dzdy)
shading faceted;colorbar('horiz')
title('No. 4 surf(X,Y,Z,dzdy)')
figure(3)
subplot(1,2,1),surf(X,Y,Z,abs(dzdr))
shading faceted;brighten(0.6);colorbar('horiz')
title('No. 5 surf(X,Y,Z,abs(dzdr))')
subplot(1,2,2),surf(X,Y,Z,abs(dz2)) %<17>
shading faceted;colorbar('horiz')
title('No. 6 surf(X,Y,Z,abs(dz2))')
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