The Challenge with PDF Mathematical Typography
In modern scientific publishing (such as arXiv, IEEE, Springer, and ACM), mathematical papers are compiled from LaTeX source into PDF via engines like pdfTeX or XeTeX. During this compilation, high-level LaTeX macros (\int, \frac, \sqrt) are stripped and replaced with individual vector glyph positioning commands.
When you attempt to copy an equation from a PDF viewer, you get broken unicode or empty squares because the glyph mappings point to private Unicode user areas.
Supported Math Syntax & Ecosystem Compatibility
Inline Equations
Wrapped in single dollar signs $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ for seamless inline prose integration.
Display Block Formulas
Centered equation blocks wrapped in double dollar signs $$ ... $$ for major theorems, proofs, and matrices.