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Questions about the function Assuming[], the $Assumptions system variable, and the Assumptions option of functions such as Simplify[] and Integrate[].

19 votes
3 answers
729 views

Why does Mathematica simplify $x/x\to1$?

If I enter x/x, I get 1. Such behavior leads to this: Simplify[D[Sqrt[x^2], x, x]] 0 The same would be even if I use Together instead of Simplify. One could then think that $\sqrt{x^2}$ is do …
Ruslan's user avatar
  • 7,182
6 votes
1 answer
143 views

Is (x|y|...)∈set the same as x∈set&&y∈set&&...?

This was in the context of specifying Assumptions to functions like Simplify or Integrate. …
Ruslan's user avatar
  • 7,182