Both work. KaTeX is faster but supports a smaller subset of LaTeX. MathJax is more complete and handles edge cases in tensor notation, multi-line equations, and chemistry better. For most physics references, MathJax v3 in CHTML mode is a good default. Load it once in the base template so every generated page gets identical rendering.

Store the LaTeX with the same align or pmatrix environments you would use in a textbook. Selector mapping passes the full source through unchanged. The only constraint is that the column must hold the entire LaTeX string. Google Sheets allows 50,000 characters per cell, which covers any practical equation.

Yes. Add columns for latex_si, latex_gaussian, latex_natural_units, and render whichever the reader has selected. A small JS toggle in the template flips between presentations using the same data row. Convention selection can also be reflected in URL parameters for shareable views.

Yes. Each URL is added to the SleekRank sitemap. The base template is excluded and noindexed. Submit the sitemap in Search Console. Common equation queries face competition from established reference sites, but the long tail of derivations, applications, and specific examples is far easier to rank for and represents most of the corpus.

No. Derivations come from the source. SleekRank only renders what is in the data. Physics derivations need to be authored by someone who understands the material; SleekRank handles publishing, not authorship. Mistakes in a generated derivation propagate everywhere it is referenced, so authoring stays human.

Yes. Add a plot_url or embed_html column and inject it via selector mapping into a placeholder in the template. Plotly, Desmos, GeoGebra, and custom WebGL widgets all work as iframes or inline embeds. Keep heavy widgets in lazy-loaded slots so the main equation page renders fast.

Use a second URL pattern that filters rows by domain. Same source feeds per-equation and domain pages, so adding a thermodynamics formula populates the thermodynamics index. Sub-domain filtering, like statistical mechanics within thermodynamics, uses a sub_domain column with a third URL pattern.

Yes. Store references as an array of objects with title, authors, year, and url or doi. List mapping renders them into a references block at the bottom of each formula page. Linking to arXiv, DOI, or library URLs keeps the corpus citable and useful for serious readers.