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Bill Simpson

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Simplify ArcTan[Sqrt[a/(2 R-a)]] - ArcCos[1-a/R] to -1/2 ArcCos[1-a/R] Am I overlooking something that would let Mathematica recognize that Assuming[0 0 && a > 0 && R > 0 I can get it to push the ArcTan into ArcSin, but not get it to - 1/2 ArcCos AUTHOR: Bill Simpson 2024VIEWS 0REPLIES 8 years ago
Syntax for Integrate-Over-Regions for area inside a "polygon" on a sphere Is there a syntax to use with [MMA Integrate-Over-Regions][1] to calculate the area inside a "polygon" projected onto the surface of a sphere? Background. I have a polyhedron and I'm looking for the solid angle of a vertex. I can put a sphere... AUTHOR: Bill Simpson 3237VIEWS 1REPLIES 8 years ago
Trying to get Repeated, or .., to correctly match a subsequence I am seeing a variety of problems which could be simply and compactly solved if a particular sequence satisfying some conditions could be extracted from a list. Repeated or .. looks like a good candidate. An example problem that was posted recently... AUTHOR: Bill Simpson 3454VIEWS 1REPLIES 11 years ago
Would someone take a moment (Integrate hang) Or perhaps this is somehow all my fault. Someone asked me if I could verify this for them and I'm seeing what they were seeing. Start Mathematica. In[1]:= $Version Out[1]= "9.0 for Microsoft Windows (64-bit) (January 25, 2013)" (with the task... AUTHOR: Bill Simpson 9371VIEWS 3REPLIES 11 years ago