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Jun 4, 2017 at 19:04 comment added jkuczm Related: How to tell Mathematica that the argument of a function is real?
Jun 2, 2017 at 21:34 vote accept John Taylor
Jun 2, 2017 at 17:04 comment added Michael E2 Depending on what computation you're doing, the answer might be there isn't a (convenient) way. Mathematica applies $Assumptions sparingly, for instance, whenever Simplify is called and functions that have an Assumptions option. I don't think you can get M to automatically simplify Sqrt[x^2] to x (barring overriding Power). You would have to use something like Simplify to get the assumptions to have the desired effect. Often that is sufficiently acceptable.
Jun 2, 2017 at 16:52 answer added ivbc timeline score: 9
Jun 2, 2017 at 16:47 history edited David G. Stork CC BY-SA 3.0
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Jun 2, 2017 at 16:44 comment added ivbc Assuming[x>0,f[x]] should solve your problem. You could also use $Assumptions command.
Jun 2, 2017 at 16:31 history asked John Taylor CC BY-SA 3.0