How to get a graph of an equation having a sigma notation with double indices

How to write a code with for loop to get a graph of the following equation?

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Answer 1

[Amith]

Hi Sania,

To simulate the given equation in MATLAB, you can utilize `for` loops, setting `maxIterations` to 100 to represent the limit for the infinite series. Please refer to the code below to perform the calculation:

function demomlans()
    % Define the range of t values
    t_values = linspace(0.1, 10, 100); % Avoid t = 0 to prevent division by zero
    f_values = arrayfun(@myFunction, t_values);
    
    % Plot the function
    figure;
    plot(t_values, f_values, 'LineWidth', 2);
    xlabel('t');
    ylabel('f(t)');
    title('Plot of the function f(t)');
    grid on;
end

function f = myFunction(t)
    % Initialize variables
    f = 0;
    maxIterations = 100; % Set a limit for the infinite series
    
    % Compute the sum
    for n = 1:maxIterations %starting from 1 to avoid divide by 0 errors
        for p = 1:maxIterations
            term = ((-1)^n * (n/p)^p * sin(t)) / (factorial(n) * factorial(p));
            f = f + term;
        end
    end
    % Divide by t outside the sum
    f = f / t;
end

The code provided above generates a graph similar to the one shown below:

Hope this helps!