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  • $\begingroup$ Thank you very much; out of curiosity, could you explain what the Function @@ {....} did, as opposed to the normal function call, to make it work as expected? $\endgroup$ Commented Mar 20, 2018 at 3:30
  • $\begingroup$ @Tired_College_Student The list {x, ...} (= List[x, temp[[1]]}) is evaluated before the head List` is replaced by Function. So the body is not changed after Function is in place, but before. If the body is changed after, the parameter x is renamed x$. Manipulate reprocesses its code, rewriting its variables, such as num, by adding $$ to them (e.g. num$$) and so forth -- it's somewhat complicated, too much so for a comment. I think somehow this causes the x to become x$ when inside the Manipulate. $\endgroup$ Commented Mar 20, 2018 at 3:37
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    $\begingroup$ "I'm not sure why" - unless I missed your point, because of the standard renaming: mathematica.stackexchange.com/q/20766/5478 $\endgroup$ Commented Mar 20, 2018 at 6:53
  • $\begingroup$ @Kuba I guess I was tired. I didn't check Module and assumed it was Manipulate. The Q&A you linked mainly discusses Module[{x,..}, Function[x, Evaluate[..]]], or so it seems to me; but the renaming of x occurs whenever the Evaluate[..] contains any Module variables, whether there is a naming conflict or not. Nonetheless, this seems to be dupe. $\endgroup$ Commented Mar 20, 2018 at 11:46