How to solve error using integral (line 83) first input argument must be a function handle?

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It is necessary to calculate the function "z" and its values, to build a 3D graph depending on "x" and "y".
I enter commands:
xi=0.062
m=64
[x,y,ksi]=meshgrid(-1:0.1:1,2:0.2:10,-1:0.1:1)
y1=((sign((x./y)+ksi).*((1+xi)./2)+((1-xi)./2)).*((x./y)+ksi ))^m
z=(integral(y1,0,1)).^(1./m)
After the last command it gives an error:
error using integral (line 83)
first input argument must be a function handle
Tell me, what's the problem?
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采纳的回答

Torsten
Torsten 2023-1-26
T = 1;
m = 64;
x = 1:0.1:2;
y = 2:0.2:10;
[X,Y] = meshgrid(x,y);
g = @(u)sin(2*pi*u);
phi = @(t,x,y) ((sign(x/y+g(t/T)).*(1+t/T)/2+(1-t/T)/2).*(x/y+g(t/T))).^m;
sol = (arrayfun(@(x,y)1/T*integral(@(t)phi(t,x,y),0,1),X,Y)).^(1/m)
sol = 41×11
1.4358 1.4841 1.5323 1.5806 1.6289 1.6772 1.7255 1.7738 1.8221 1.8704 1.9188 1.3920 1.4358 1.4797 1.5235 1.5674 1.6113 1.6552 1.6991 1.7430 1.7869 1.8309 1.3554 1.3956 1.4358 1.4760 1.5162 1.5565 1.5967 1.6369 1.6772 1.7174 1.7577 1.3245 1.3616 1.3987 1.4358 1.4729 1.5100 1.5472 1.5843 1.6214 1.6586 1.6957 1.2981 1.3325 1.3669 1.4014 1.4358 1.4703 1.5047 1.5392 1.5737 1.6082 1.6427 1.2751 1.3072 1.3394 1.3715 1.4037 1.4358 1.4680 1.5001 1.5323 1.5645 1.5967 1.2550 1.2851 1.3153 1.3454 1.3755 1.4057 1.4358 1.4660 1.4961 1.5263 1.5565 1.2373 1.2657 1.2940 1.3224 1.3507 1.3791 1.4074 1.4358 1.4642 1.4926 1.5210 1.2216 1.2483 1.2751 1.3019 1.3287 1.3554 1.3822 1.4090 1.4358 1.4626 1.4894 1.2075 1.2328 1.2582 1.2836 1.3089 1.3343 1.3597 1.3851 1.4104 1.4358 1.4612
  3 个评论
Torsten
Torsten 2023-2-28
编辑:Torsten 2023-2-28
I'm a little bit confused about your t/T with respect to which you integrate.
According to your notation, my guess is that the integral should be
m = 64;
x = 1:0.1:2;
y = 2:0.2:10;
[X,Y] = meshgrid(x,y);
g = @(u)sin(2*pi*u);
phi = @(ksi,x,y) ((sign(x/y+g(ksi)).*(1+ksi)/2+(1-ksi)/2).*(x/y+g(ksi))).^m;
sol = (arrayfun(@(x,y)integral(@(ksi)phi(ksi,x,y),0,1),X,Y)).^(1/m)
sol = 41×11
1.4358 1.4841 1.5323 1.5806 1.6289 1.6772 1.7255 1.7738 1.8221 1.8704 1.9188 1.3920 1.4358 1.4797 1.5235 1.5674 1.6113 1.6552 1.6991 1.7430 1.7869 1.8309 1.3554 1.3956 1.4358 1.4760 1.5162 1.5565 1.5967 1.6369 1.6772 1.7174 1.7577 1.3245 1.3616 1.3987 1.4358 1.4729 1.5100 1.5472 1.5843 1.6214 1.6586 1.6957 1.2981 1.3325 1.3669 1.4014 1.4358 1.4703 1.5047 1.5392 1.5737 1.6082 1.6427 1.2751 1.3072 1.3394 1.3715 1.4037 1.4358 1.4680 1.5001 1.5323 1.5645 1.5967 1.2550 1.2851 1.3153 1.3454 1.3755 1.4057 1.4358 1.4660 1.4961 1.5263 1.5565 1.2373 1.2657 1.2940 1.3224 1.3507 1.3791 1.4074 1.4358 1.4642 1.4926 1.5210 1.2216 1.2483 1.2751 1.3019 1.3287 1.3554 1.3822 1.4090 1.4358 1.4626 1.4894 1.2075 1.2328 1.2582 1.2836 1.3089 1.3343 1.3597 1.3851 1.4104 1.4358 1.4612
which is a little different from which I posted first (at least for T not equal to 1).

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