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Questions on exact, symmetric reversal of a definition or functional mapping (i.e. the original form is returned when applied twice). Use this tag for issues on inversion of Mathematica expressions, or general inversion of math constructs.

3
votes
Split the tangent: ArcTan[c Cos[γ], Sin[γ]] A quick Manipulate[] for fun: Manipulate[Graphics[{{Opacity[1/2, ColorData[97, 1]], Disk[{0, 0}, 1, {0, γ}]}, {Opacity[1/2, ColorDa …
answered Aug 5 '16 by J. M. will be back soon
4
votes
Here's a short routine for computing the Mach number from the Prandtl-Meyer equation: prandtlMeyerMachNumber[γ_?InexactNumberQ, ν_?InexactNumberQ] := Module[{prec = Precision[{γ, ν}], β, η, λ, m …
answered May 11 '13 by J. M. will be back soon
13
votes
Henrik has already written on the undocumented second argument of a LinearSolveFunction[], so let me just put out a short demo wrapper showing how to use the built-in, but undocumented LAPACK routines …
answered Mar 21 '18 by J. M. will be back soon
9
votes
Let me demonstrate two approaches in this answer. P.J. Acklam (WayBack archive of his page) devised a not-too-long method to approximate the quantile of the Gaussian distribution, with absolute error …
answered Sep 24 '18 by J. M. will be back soon
12
votes
Here's a nice one-liner: TransformationFunction[{{1, 0, 0, 0}, {0, 0, -1, 0}, {0, 1, 0, 3}, {0, 0, 0, 1}}] // InverseFunction TransformationFunction[{{1, 0, 0, 0}, {0, 0, 1, -3}, {0, -1, 0, 0}, {0 …
answered Feb 13 '16 by J. M. will be back soon