MATLAB: Double summation in matlab

sum

I would like to do this double summation

. where alpha=2; beta=1.5;

I am confuse about the command availbale in online .Pl somebody help me what is way of solving this summation.

Best Answer

You can define a function to calculate the expression inside the brackets.

a = @(p,param)param.^p./factorial(p); % (param^n)/factorial(n)
% param is alpha or beta, p = n or m
sum(sum(a(0:10,2)' * a(0:15,1.5)))

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MATLAB: Problem with definite Integral

If you check at the expression of 'f', you can see it also has 't'. So even if you try to numerically integrate it w.r.t. 'r' and 'theta', the answer will still be symbolic.

Also, I suggest you to use matlabFunction() to convert the symbolic expression into a floating-point function, which is much faster than the symbolic calculations. For example, instead of vpaintegral(), try this

F = matlabFunction(f, 'Vars', [r theta t]);
int_val = integral2(@(r, theta) F(r, theta, 0), 0, 10, 0, 2*pi)

This assumes that t=0 to get a function in terms of r and theta.

MATLAB: Plotting a function in a range of variable

If you want to do plotting with 'alpha' in the range alpha=0:0.1:2, you should not declare 'alpha' as a symbolic variable. Instead, you need to place all the above code in a for-loop like this:

   al = 0:0.1:2;
   for k = 1:length(al)
     alpha = al(k);
     ..... Do all the computations with alpha up to Mt
     t(k) = trace(Mt);
   end
   plot(al,t)

I assume by 'trace' you mean the sum of the diagonal elements of a square matrix. By the way, you should not use that name for other purposes such as the name of a file: "trace.m". Otherwise you will confuse matlab and it may misbehave.

For future reference: In posing such questions as this you should clearly describe in detail the troubles you are having rather than such vague statements as "Matlab is not allowing me to do it." Carefully copy any error messages including the lines they refer to.

Best Answer

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MATLAB: Problem with definite Integral

MATLAB: Plotting a function in a range of variable

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