Excessive space in aligned math before first equals sign
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rbeezer commented
Al Maneki, 2023-01-26 email, AATA Chapter 8 review:
Miscellaneous layout issues. See Proof of Lemma 8.27, Braille page 377. Equation for the ijth entry of matrix C: Too many blank spaces before the first “=“ sign, only one space is needed. I think this is the only occurrence in chapter 8.
LaTeX as formed by PreTeXt:
\begin{align*}
c_{ij} & = \sum_{k=1}^n h_{ik} g_{kj}\\
& = \sum_{k=1}^{n-m} h_{ik} g_{kj} + \sum_{k=n-m+1}^n h_{ik} g_{kj}\\
& = \sum_{k=1}^{n-m} a_{ik} \delta_{kj} + \sum_{k=n-m+1}^n \delta_{i-(m-n),k} a_{kj}\\
& = a_{ij} + a_{ij}\\
& = 0
\end{align*}
Nemeth from SRE:
⠉⠰⠊⠚⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠅⠀⠐⠨⠠⠎⠩⠅⠀⠨⠅⠀⠼⠂⠣⠝⠻⠓⠰⠊⠅⠐⠛⠰⠅⠚⠐
⠨⠅⠀⠐⠨⠠⠎⠩⠅⠀⠨⠅⠀⠼⠂⠣⠝⠤⠍⠻⠓⠰⠊⠅⠐⠛⠰⠅⠚⠐⠬⠐⠨⠠⠎⠩⠅⠀⠨⠅⠀⠝⠤⠍⠬⠂⠣⠝⠻⠓⠰⠊⠅⠐⠛⠰⠅⠚⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠨⠅⠀⠐⠨⠠⠎⠩⠅⠀⠨⠅⠀⠼⠂⠣⠝⠤⠍⠻⠁⠰⠊⠅⠐⠨⠙⠰⠅⠚⠐⠬⠐⠨⠠⠎⠩⠅⠀⠨⠅⠀⠝⠤⠍⠬⠂⠣⠝⠻⠨⠙⠰⠊⠤⠷⠍⠤⠝⠾⠠⠀⠅⠐⠁⠰⠅⠚⠐
⠨⠅⠀⠁⠰⠊⠚⠐⠬⠁⠰⠊⠚⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠨⠅⠀⠼⠴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀