[latexrefman] \( (x_0+x_1)^2 \leq (x_0)^2+(x_1)^2 \)

Vincent Belaïche vincent.belaiche at gmail.com
Sat Aug 20 19:00:27 CEST 2022


Dear Jim,

I am still propagating your r641, and I noted that you have changed \(
(x_0+x_1)^2 \) to \( (x_0+x_1)^2 \leq (x_0)^2+(x_1)^2 \) in node
Subscripts & superscripts.

I feel uncomfortable with examplifying with an inequation that is not true
for all x_0 & x_1 real (you need x_0 & x_1 to have the same sign for
this to hold), a strange or controversial example distracts the reader.

I propose either (in order to my descending preference):

- to change it to \( (x_0+x_1)^2 = (x_0)^2+(x_1)^2 + 2 x_0 x_1 \)
- to revert to \( (x_0+x_1)^2 \)
- to change it to \( \left(\frac{x_0+x_1}{2}\right)^2} \leq
\frac{(x_0)^2 + (x_1)^2}{2} \)
- to change it to \( \sqrt{(x_0+x_1)^2} \leq \sqrt{(x_0)^2}+\sqrt{(x_1)^2} \)

  V.


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