How to define a symbolic function for this equation?

Where P_ij are data points.

[Dyuman Joshi]

Is P_ij numeric or symbolic? What about m and n?

[moaad]

m and n can be any numbers greater than 2, suppose for this case, m=n=3. Actually P_ij are points in 3D, like p_00= {0,0,0}, p_01={1,1,1} ,.... But problem is that how can i symbolically write p_ij?

[Kone]

m and n are not very clear in the function though. Is p_ij a 2D or 3D vector?

[Dyuman Joshi]

How will you multiply x^i*y^j and P_ij? The first term is numeric or symbolic, and the latter term is a cell.

I don't understand what is it that you are trying to do.

I presume that P_ij is a 2D cell array with each element having 3 values for 3 co-ordinates.

Answer 1

[Kone]

You can use the 'syms' function to create symbolic variables for each of the inputs and then use them to define the function. The 'subs' function can also help evaluate particular values of your variables.

something like this

syms x y p_ij;
S(x, y, p_ij) = x .* y .* p_ij

S(x, y, p_ij) = 

Ans = subs(S, [x, y, p_ij], [3,3,{1}])

Ans(x, y, p_ij) = 

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