Here's an idea for anyone in search for a project: Some papers define a lot of ad-hoc variable symbols. It would be easier to follow them if one could hover over a symbol used in an equation and see its definition, just like in an IDE.
I tested the form generator<p><a href="https://products.aspose.ai/pdf/form-generator" rel="nofollow">https://products.aspose.ai/pdf/form-generator</a><p>which generates LaTex from headings, paragraphs and other document controls. And it also generates formulas from descriptions. I copied some text from my article and got a fully functional LaTex with formulas:<p>Fundamental Theorem of Calculus<p>The Fundamental Theorem of Calculus links differentiation and integration. It consists of two parts:<p>If f of x is continuous on the interval [a, b] and F of x is its antiderivative, then:<p>integral from a to b of f of x with respect to x equals F of b minus F of a.<p>If F of x is defined as an integral function:<p>F of x equals integral from a to x of f of t with respect to t,<p>then F of x is differentiable, and its derivative is the original function:<p>d by dx of F of x equals f of x.<p>Taylor Series Expansion<p>A function f of x can be expressed as an infinite Taylor series around x equals a:<p>summation from n equals zero to infinity of (nth derivative of f at a) divided by (n factorial) times (x minus a) to the power of n.<p>For example, the Taylor series expansion of e to the power of x at x equals zero is:<p>summation from n equals zero to infinity of (x to the power of n) divided by (n factorial), which expands as 1 plus x plus (x squared divided by 2 factorial) plus (x cubed divided by 3 factorial) and so on.<p>Complex Line Integrals<p>In complex analysis, contour integrals play a crucial role. The contour integral of a function f of z along a curve C is given by:<p>closed contour integral along C of f of z with respect to z.<p>A key result is Cauchy's Integral Formula:<p>f of a equals (1 divided by 2 pi i) times the closed contour integral along C of (f of z divided by (z minus a)) with respect to z,<p>which holds if f of z is analytic inside and on C, and a is within C.