clc;clear

%舉個例子z=sin(y)+∑sin(ny)*sin(nx),其中n由1到20,要畫出z關于x,y(假設x=1;50;y=1:50)

syms x y

n=1:20;

z=sin(y)+sum(sin(n*y).*sin(n*x))

[x,y]=meshgrid(1:50,1:50);

z=subs(z);

mesh(x,y,z)

結果：

z =

sin(y)+sin(y)*sin(x)+sin(2*y)*sin(2*x)+sin(3*y)*sin(3*x)+sin(4*y)*sin(4*x)+sin(5*y)*sin(5*x)+sin(6*y)*sin(6*x)+sin(7*y)*sin(7*x)+sin(8*y)*sin(8*x)+sin(9*y)*sin(9*x)+sin(10*y)*sin(10*x)+sin(11*y)*sin(11*x)+sin(12*y)*sin(12*x)+sin(13*y)*sin(13*x)+sin(14*y)*sin(14*x)+sin(15*y)*sin(15*x)+sin(16*y)*sin(16*x)+sin(17*y)*sin(17*x)+sin(18*y)*sin(18*x)+sin(19*y)*sin(19*x)+sin(20*y)*sin(20*x)

,clc;clear,%舉個例子z=sin(y)+∑sin(ny)*sin(nx),其中n由1到20,要畫出z關于x,y(假設x=1;50;y=1:50),syms x y,n=1:20;,z=sin(y)+sum(sin(n*y).*sin(n*x)),[x,y]=meshgrid(1:50,1:50);,z=subs(z);,mesh(x,y,z),,結果：,z =, ,sin(y)+sin(y)*sin(x)+sin(2*y)*sin(2*x)+sin(3*y)*sin(3*x)+sin(4*y)*sin(4*x)+sin(5*y)*sin(5*x)+sin(6*y)*sin(6*x)+sin(7*y)*sin(7*x)+sin(8*y)*sin(8*x)+sin(9*y)*sin(9*x)+sin(10*y)*sin(10*x)+sin(11*y)*sin(11*x)+sin(12*y)*sin(12*x)+sin(13*y)*sin(13*x)+sin(14*y)*sin(14*x)+sin(15*y)*sin(15*x)+sin(16*y)*sin(16*x)+sin(17*y)*sin(17*x)+sin(18*y)*sin(18*x)+sin(19*y)*sin(19*x)+sin(20*y)*sin(20*x),,clc;clear,%舉個例子z=sin(y)+∑sin(ny)*sin(nx),其中n由1到20,要畫出z關于x,y(假設x=1;50;y=1:50),syms x y,n=1:20;,z=sin(y)+sum(sin(n*y).*sin(n*x)),[x,y]=meshgrid(1:50,1:50);,z=subs(z);,mesh(x,y,z),,結果：,z =, ,sin(y)+sin(y)*sin(x)+sin(2*y)*sin(2*x)+sin(3*y)*sin(3*x)+sin(4*y)*sin(4*x)+sin(5*y)*sin(5*x)+sin(6*y)*sin(6*x)+sin(7*y)*sin(7*x)+sin(8*y)*sin(8*x)+sin(9*y)*sin(9*x)+sin(10*y)*sin(10*x)+sin(11*y)*sin(11*x)+sin(12*y)*sin(12*x)+sin(13*y)*sin(13*x)+sin(14*y)*sin(14*x)+sin(15*y)*sin(15*x)+sin(16*y)*sin(16*x)+sin(17*y)*sin(17*x)+sin(18*y)*sin(18*x)+sin(19*y)*sin(19*x)+sin(20*y)*sin(20*x),,clc;clear,%舉個例子z=sin(y)+∑sin(ny)*sin(nx),其中n由1到20,要畫出z關于x,y(假設x=1;50;y=1:50),syms x y,n=1:20;,z=sin(y)+sum(sin(n*y).*sin(n*x)),[x,y]=meshgrid(1:50,1:50);,z=subs(z);,mesh(x,y,z),,結果：,z =, ,sin(y)+sin(y)*sin(x)+sin(2*y)*sin(2*x)+sin(3*y)*sin(3*x)+sin(4*y)*sin(4*x)+sin(5*y)*sin(5*x)+sin(6*y)*sin(6*x)+sin(7*y)*sin(7*x)+sin(8*y)*sin(8*x)+sin(9*y)*sin(9*x)+sin(10*y)*sin(10*x)+sin(11*y)*sin(11*x)+sin(12*y)*sin(12*x)+sin(13*y)*sin(13*x)+sin(14*y)*sin(14*x)+sin(15*y)*sin(15*x)+sin(16*y)*sin(16*x)+sin(17*y)*sin(17*x)+sin(18*y)*sin(18*x)+sin(19*y)*sin(19*x)+sin(20*y)*sin(20*x),,clc;clear,%舉個例子z=sin(y)+∑sin(ny)*sin(nx),其中n由1到20,要畫出z關于x,y(假設x=1;50;y=1:50),syms x y,n=1:20;,z=sin(y)+sum(sin(n*y).*sin(n*x)),[x,y]=meshgrid(1:50,1:50);,z=subs(z);,mesh(x,y,z),,結果：,z =, ,sin(y)+sin(y)*sin(x)+sin(2*y)*sin(2*x)+sin(3*y)*sin(3*x)+sin(4*y)*sin(4*x)+sin(5*y)*sin(5*x)+sin(6*y)*sin(6*x)+sin(7*y)*sin(7*x)+sin(8*y)*sin(8*x)+sin(9*y)*sin(9*x)+sin(10*y)*sin(10*x)+sin(11*y)*sin(11*x)+sin(12*y)*sin(12*x)+sin(13*y)*sin(13*x)+sin(14*y)*sin(14*x)+sin(15*y)*sin(15*x)+sin(16*y)*sin(16*x)+sin(17*y)*sin(17*x)+sin(18*y)*sin(18*x)+sin(19*y)*sin(19*x)+sin(20*y)*sin(20*x),,clc;clear,%舉個例子z=sin(y)+∑sin(ny)*sin(nx),其中n由1到20,要畫出z關于x,y(假設x=1;50;y=1:50),syms x y,n=1:20;,z=sin(y)+sum(sin(n*y).*sin(n*x)),[x,y]=meshgrid(1:50,1:50);,z=subs(z);,mesh(x,y,z),,結果：,z =, ,sin(y)+sin(y)*sin(x)+sin(2*y)*sin(2*x)+sin(3*y)*sin(3*x)+sin(4*y)*sin(4*x)+sin(5*y)*sin(5*x)+sin(6*y)*sin(6*x)+sin(7*y)*sin(7*x)+sin(8*y)*sin(8*x)+sin(9*y)*sin(9*x)+sin(10*y)*sin(10*x)+sin(11*y)*sin(11*x)+sin(12*y)*sin(12*x)+sin(13*y)*sin(13*x)+sin(14*y)*sin(14*x)+sin(15*y)*sin(15*x)+sin(16*y)*sin(16*x)+sin(17*y)*sin(17*x)+sin(18*y)*sin(18*x)+sin(19*y)*sin(19*x)+sin(20*y)*sin(20*x),,clc;clear,%舉個例子z=sin(y)+∑sin(ny)*sin(nx),其中n由1到20,要畫出z關于x,y(假設x=1;50;y=1:50),syms x y,n=1:20;,z=sin(y)+sum(sin(n*y).*sin(n*x)),[x,y]=meshgrid(1:50,1:50);,z=subs(z);,mesh(x,y,z),,結果：,z =, ,sin(y)+sin(y)*sin(x)+sin(2*y)*sin(2*x)+sin(3*y)*sin(3*x)+sin(4*y)*sin(4*x)+sin(5*y)*sin(5*x)+sin(6*y)*sin(6*x)+sin(7*y)*sin(7*x)+sin(8*y)*sin(8*x)+sin(9*y)*sin(9*x)+sin(10*y)*sin(10*x)+sin(11*y)*sin(11*x)+sin(12*y)*sin(12*x)+sin(13*y)*sin(13*x)+sin(14*y)*sin(14*x)+sin(15*y)*sin(15*x)+sin(16*y)*sin(16*x)+sin(17*y)*sin(17*x)+sin(18*y)*sin(18*x)+sin(19*y)*sin(19*x)+sin(20*y)*sin(20*x),,clc;clear,%舉個例子z=sin(y)+∑sin(ny)*sin(nx),其中n由1到20,要畫出z關于x,y(假設x=1;50;y=1:50),syms x y,n=1:20;,z=sin(y)+sum(sin(n*y).*sin(n*x)),[x,y]=meshgrid(1:50,1:50);,z=subs(z);,mesh(x,y,z),,結果：,z =, ,sin(y)+sin(y)*sin(x)+sin(2*y)*sin(2*x)+sin(3*y)*sin(3*x)+sin(4*y)*sin(4*x)+sin(5*y)*sin(5*x)+sin(6*y)*sin(6*x)+sin(7*y)*sin(7*x)+sin(8*y)*sin(8*x)+sin(9*y)*sin(9*x)+sin(10*y)*sin(10*x)+sin(11*y)*sin(11*x)+sin(12*y)*sin(12*x)+sin(13*y)*sin(13*x)+sin(14*y)*sin(14*x)+sin(15*y)*sin(15*x)+sin(16*y)*sin(16*x)+sin(17*y)*sin(17*x)+sin(18*y)*sin(18*x)+sin(19*y)*sin(19*x)+sin(20*y)*sin(20*x),,clc;clear,%舉個例子z=sin(y)+∑sin(ny)*sin(nx),其中n由1到20,要畫出z關于x,y(假設x=1;50;y=1:50),syms x y,n=1:20;,z=sin(y)+sum(sin(n*y).*sin(n*x)),[x,y]=meshgrid(1:50,1:50);,z=subs(z);,mesh(x,y,z),,結果：,z =, ,sin(y)+sin(y)*sin(x)+sin(2*y)*sin(2*x)+sin(3*y)*sin(3*x)+sin(4*y)*sin(4*x)+sin(5*y)*sin(5*x)+sin(6*y)*sin(6*x)+sin(7*y)*sin(7*x)+sin(8*y)*sin(8*x)+sin(9*y)*sin(9*x)+sin(10*y)*sin(10*x)+sin(11*y)*sin(11*x)+sin(12*y)*sin(12*x)+sin(13*y)*sin(13*x)+sin(14*y)*sin(14*x)+sin(15*y)*sin(15*x)+sin(16*y)*sin(16*x)+sin(17*y)*sin(17*x)+sin(18*y)*sin(18*x)+sin(19*y)*sin(19*x)+sin(20*y)*sin(20*x),,clc;clear,%舉個例子z=sin(y)+∑sin(ny)*sin(nx),其中n由1到20,要畫出z關于x,y(假設x=1;50;y=1:50),syms x y,n=1:20;,z=sin(y)+sum(sin(n*y).*sin(n*x)),[x,y]=meshgrid(1:50,1:50);,z=subs(z);,mesh(x,y,z),,結果：,z =, ,sin(y)+sin(y)*sin(x)+sin(2*y)*sin(2*x)+sin(3*y)*sin(3*x)+sin(4*y)*sin(4*x)+sin(5*y)*sin(5*x)+sin(6*y)*sin(6*x)+sin(7*y)*sin(7*x)+sin(8*y)*sin(8*x)+sin(9*y)*sin(9*x)+sin(10*y)*sin(10*x)+sin(11*y)*sin(11*x)+sin(12*y)*sin(12*x)+sin(13*y)*sin(13*x)+sin(14*y)*sin(14*x)+sin(15*y)*sin(15*x)+sin(16*y)*sin(16*x)+sin(17*y)*sin(17*x)+sin(18*y)*sin(18*x)+sin(19*y)*sin(19*x)+sin(20*y)*sin(20*x),,clc;clear,%舉個例子z=sin(y)+∑sin(ny)*sin(nx),其中n由1到20,要畫出z關于x,y(假設x=1;50;y=1:50),syms x y,n=1:20;,z=sin(y)+sum(sin(n*y).*sin(n*x)),[x,y]=meshgrid(1:50,1:50);,z=subs(z);,mesh(x,y,z),,結果：,z =, ,sin(y)+sin(y)*sin(x)+sin(2*y)*sin(2*x)+sin(3*y)*sin(3*x)+sin(4*y)*sin(4*x)+sin(5*y)*sin(5*x)+sin(6*y)*sin(6*x)+sin(7*y)*sin(7*x)+sin(8*y)*sin(8*x)+sin(9*y)*sin(9*x)+sin(10*y)*sin(10*x)+sin(11*y)*sin(11*x)+sin(12*y)*sin(12*x)+sin(13*y)*sin(13*x)+sin(14*y)*sin(14*x)+sin(15*y)*sin(15*x)+sin(16*y)*sin(16*x)+sin(17*y)*sin(17*x)+sin(18*y)*sin(18*x)+sin(19*y)*sin(19*x)+sin(20*y)*sin(20*x),,clc;clear,%舉個例子z=sin(y)+∑sin(ny)*sin(nx),其中n由1到20,要畫出z關于x,y(假設x=1;50;y=1:50),syms x y,n=1:20;,z=sin(y)+sum(sin(n*y).*sin(n*x)),[x,y]=meshgrid(1:50,1:50);,z=subs(z);,mesh(x,y,z),,結果：,z =, ,sin(y)+sin(y)*sin(x)+sin(2*y)*sin(2*x)+sin(3*y)*sin(3*x)+sin(4*y)*sin(4*x)+sin(5*y)*sin(5*x)+sin(6*y)*sin(6*x)+sin(7*y)*sin(7*x)+sin(8*y)*sin(8*x)+sin(9*y)*sin(9*x)+sin(10*y)*sin(10*x)+sin(11*y)*sin(11*x)+sin(12*y)*sin(12*x)+sin(13*y)*sin(13*x)+sin(14*y)*sin(14*x)+sin(15*y)*sin(15*x)+sin(16*y)*sin(16*x)+sin(17*y)*sin(17*x)+sin(18*y)*sin(18*x)+sin(19*y)*sin(19*x)+sin(20*y)*sin(20*x),

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