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What does the $\tilde x$ ($x$ with ~ above) mean in these expressions?

Screen grab

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    $\begingroup$ It's called a tilde. $\endgroup$
    – Aweygan
    Commented Jul 20, 2022 at 14:02
  • $\begingroup$ Where did you come across this? BTW, to typeset $\tilde{x}$, write $\tilde{x}$. $\endgroup$ Commented Jul 20, 2022 at 14:03
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    $\begingroup$ Maybe is only a different variable... maybe you have to read your textbook. $\endgroup$ Commented Jul 20, 2022 at 14:04
  • $\begingroup$ Where is the table from? This might refer to some very specific application meaning in optics for example $\endgroup$
    – Paul
    Commented Jul 20, 2022 at 14:05
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    $\begingroup$ $\tilde x$ is a notaton that can come up for virtually any reason. Sometimes is just another variable, sometimes is a thing that depends on $x$. You'll have to read the definitions that the book gives. $\endgroup$ Commented Jul 20, 2022 at 14:20

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My question arose from viewing this where I can only see the first couple of pages.

I eventually tracked down a site that allowed me to see page 53, where it reads:enter image description here

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