“Rare Greek Variables”, Gwern2021-04-08 (, , , ; backlinks)⁠:

I scrape Arxiv to find underused Greek variables which can add some diversity to math; the top 10 underused letters are ϰ, ς, υ, ϖ, Υ, Ξ, ι, ϱ, ϑ, & Π. Avoid overused letters like λ, and spice up your next paper with some memorable variables!

Some Greek alphabet variables are just plain overused. It seems like no paper is complete without a bunch of E or μ or α variables splattered across it—and they all mean different things in different papers, and that’s when they don’t mean different things in the same paper! In the spirit of offering constructive criticism, might I suggest that, based on Arxiv frequency of usage, you experiment with more recherché, even, outré variables?

Instead of reaching for that exhausted π, why not use… ϰ (variant kappa), which looks like a Hebrew escapee? Or how about ς (variant sigma), which is calculated to get your reader’s attention by making them go “ςςς” and exclaim “these letters are Greek to me!” If that is too blatant, then I can recommend the subtle use of Υ (capital upsilon) instead of ‘Y’, which few readers will notice—but the ones who do, the hard way, will be asking themselves, “Υ‽ would any jury in the world convict me…?”

The top 10 least-used Greek variables on Arxiv, rarest to more common:

  1. \varkappa (ϰ)

  2. \varsigma (ς)

  3. \upsilon (υ)

  4. \varpi (ϖ)

  5. \Upsilon (Υ)

  6. \varrho (ϱ)

  7. \Xi (Ξ)

  8. \vartheta (ϑ)

  9. \iota (ι)

  10. \Pi (Π)