# Plotting implicit functions via fimplicit

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Michael Haag il 20 Set 2023
Modificato: Voss il 20 Set 2023
Hello,
I have the following anonymous function:
L = 5000;
F = 11500;
E = 70000;
cP = @(B,H)[H.*(B.^-1)-6, 6.*F.*L.*((B.*H.^2).^-1)-50,...
4.*F.*L.^3.*((E.*B.*H.^3).^-1)-12.7];
Now I want to plot each curve in the vector via
interval = [0 500 0 500];
fimplicit(cP,interval);
This does not work. I suppose fimplicit expects only one curve and could not handle the vector containig the curves.
So, how can I access the each curve, i.e H.*(B.^-1)-6=0, which are in the vector and pass it to fimplicit so that fimplicit can handle it?
Michael
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### Risposta accettata

Voss il 20 Set 2023
Apparently (this behavior appears to be undocumented), you can pass a cell array of function handles to fimplicit, as in:
L = 5000;
F = 11500;
E = 70000;
interval = [0 500 0 500];
% cP = @(B,H)[H.*(B.^-1)-6, 6.*F.*L.*((B.*H.^2).^-1)-50,...
% 4.*F.*L.^3.*((E.*B.*H.^3).^-1)-12.7];
cP = { ...
@(B,H)H.*(B.^-1)-6, ...
@(B,H)6.*F.*L.*((B.*H.^2).^-1)-50, ...
@(B,H)4.*F.*L.^3.*((E.*B.*H.^3).^-1)-12.7, ...
}
cP = 1×3 cell array
{@(B,H)H.*(B.^-1)-6} {@(B,H)6.*F.*L.*((B.*H.^2).^-1)-50} {@(B,H)4.*F.*L.^3.*((E.*B.*H.^3).^-1)-12.7}
figure
fimplicit(cP,interval);
Since it is undocumented, I don't which MATLAB versions support this, so you may have to use each one separately:
figure
for ii = 1:numel(cP)
fimplicit(cP{ii},interval);
hold on
end
##### 2 CommentiMostra NessunoNascondi Nessuno
Michael Haag il 20 Set 2023
Modificato: Michael Haag il 20 Set 2023
@Voss: Perfect thank you, this helps!
Interesting that fimplicit accepts a cell array of function handles.
Voss il 20 Set 2023
Modificato: Voss il 20 Set 2023
You're welcome!
Yeah, I was surprised to discover (accidentally, while writing my answer) that the cell array of function handles works. The documentation lists only a function handle as the supported class for the first input to fimplicit (no mention of cell arrays):

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