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    • CommentRowNumber1.
    • CommentAuthorTobyBartels
    • CommentTimeAug 7th 2019

    Generalize to higher-order polynomials

    diff, v10, current

    • CommentRowNumber2.
    • CommentAuthorTobyBartels
    • CommentTimeAug 7th 2019

    Incidentally, this shows why justification is not appropriate for dynamically generated text. I could go back and reformat it, which might be a good idea in any case to avoid a long horizontal scroll; but in the meantime, the justification only makes it worse.

    • CommentRowNumber3.
    • CommentAuthorMike Shulman
    • CommentTimeAug 8th 2019

    I don’t think the ugliness there has anything to do with dynamic generation, but rather with the presence of a very long equation that can’t be line-wrapped – and, along the lines of what you say, probably should be a displayed equation anyway. The same text in a static context, with non-wrapping equations, would exhibit the same problem.

    • CommentRowNumber4.
    • CommentAuthorTobyBartels
    • CommentTimeSep 10th 2020

    More general polarization identities with arbitrary coefficients on xx and yy. Correct the **-algebraic case; the required condition on mm is conjugate-linearity, not conjugate-symmetry (which is not required at all!). Add sesquilinear examples.

    diff, v12, current

    • CommentRowNumber5.
    • CommentAuthorTobyBartels
    • CommentTimeSep 10th 2020

    Regarding line-wrapping and justification (off-topic and over a year late): That equation would line-wrap beautifully, and LaTeX (or plain TeX) would do so just fine (with or without justification); but iTeX forbids line-wrapping inside equations. It works best as an inline equation, since it's already within a bullet list, so extra indentation could be hard to read. (That's why I left it inline even here.) If it were on a static page, then I would force line-wrapping in a good spot, but I can't do that when I don't know how wide the screen will be; that's why dynamic rendering is relevant. (There's a bit in the TeXbook about how you should look for ugly spacing and reword your text to make it go away, but you can only do that for a static layout.) It wouldn't look great with left justification, but it would look much better. (But I am generally not a fan of full justification in almost any context; there's a lot of ugly justification on the nLab in my admittedly extreme opinion.)

    • CommentRowNumber6.
    • CommentAuthorTobyBartels
    • CommentTimeSep 10th 2020

    I also made an edit a month ago that clarified the 00-homogeneous case.

    diff, v11, current

    • CommentRowNumber7.
    • CommentAuthorTobyBartels
    • CommentTimeMar 21st 2021

    Clarify polynomial vs polynomial function.

    diff, v14, current