Hi,
In MATLAB, to substitute variables in an equation without immediate numerical evaluation and to format the equation for LaTeX, symbolic math toolbox can be utilized. This method enables symbolic manipulation and display of expressions, including variable substitution and conversion of symbolic expressions to LaTeX strings.
Here is a starting point on how to achieve this:
% Step 1: Define Symbolic Variables
syms a b
% Step 2: Define the Equation Symbolically
eqn = sqrt(a + b);
% Step 3: Substitute Variables Symbolically
% Example values for a and b
values = {2, 3};
eqn_sub = subs(eqn, [a, b], values);
% Step 4: Convert to LaTeX
latex_str = latex(eqn_sub); % Converts the substituted equation to LaTeX
% Step 5: Combine for Reporting
% Creates a string for reporting that includes the original equation in LaTeX,
% the substituted equation in LaTeX, and the numerical evaluation
report_str = sprintf('y = %s = %s = %f', latex(eqn), latex_str, eval(eqn_sub));
% Display the final report string
disp(report_str);
when using eval, the expression is finally evaluated to a numerical value. If you want to keep it symbolic, just omit the eval part in the reporting.
I hope this helps!
