Can I rename the dependencies of an anonymous function?

I am writing an FEA code trying to minimize memory allocation and improve speed in MATLAB. For that purpose I want to declare my element stiffness matrix using a combination of anonymous functions. Although I have been successful, at the time of evaluation I need too many input arguments, and it makes sense to group them in vectors to improve readability. Below I expplain it a bit more.

Although I could declare my anonymous functions as:

f = @(x) x(1)^2 + x(2)^2;

Because I am using symbolic differentiation I need to declare as:

f = @(x,y) x^2 + y^2;

syms x y real
g = matlabFunction([diff(f,x);diff(f,y)]);

My question is if it is possible to rename the dependencies of " g " after the derivative operation is done. I obtain "g" as a function of "x" and "y", but I would like to transform it into a function of

Finally, it would be nice if the function depends on x and y, even though the derivative does only depend on one of them, let's say , that you can still call it as

Answer 1

[Star Strider]

I am not certain what you want to do, however it seems that you want to compbine both of the arguments into a single vector.

syms x y real
f(x,y) = x^2 + y^2;
g = matlabFunction(f, 'Vars',{[x,y]})

g = function_handle with value:
    @(in1)in1(:,1).^2+in1(:,2).^2

The two variables are now combined into one row vector called ‘in1’ so that ‘x’ is ‘in1(:,1)’ and ‘y’ is ‘in1(:,2)’.

.

[Walter Roberson]

See also my comments at https://www.mathworks.com/matlabcentral/answers/1950728-evaluating-symbolic-function-with-a-vector#comment_2714708

[ALVARO]

Thank you both, this is an absolute artwork

[Star Strider]

As always, my (our) pleasure!