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KeTeX is faster, but supports a limited subset of LaTeX. MathJax supports essentially everything.

For most mathuses in blog posts KaTeX is going to provide a bettter user experience, but if you want to put a math paper on a webpageMathJax is the way to go.

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I think MathJax has really caught up in speed in the past few (5) years with MathJax 3. I would pick MathJax today for compatibility reasons.

Interesting; does MathJax support the AMS extensions? That was my issue with KaTeX in the past.

Yes, it does. Supported extensions here [1]. Two more notable ones are mathtools and physics, both of which make writing latex on the web much more pleasant.

[1] https://docs.mathjax.org/en/latest/input/tex/extensions/inde...

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