mzimmerm bookmarks: math - page: 1urn:uuid:{6148372E-3481-A727-FC69-A3FD09B33EF8}2024-03-28T08:48:13ZSolving Transformer by Hand: A Step-by-Step Math Example | by Fareed Khan | Level Up Coding14898252024-03-06T00:46:01Z2024-03-06T00:46:15ZDoing what a transformer is doing, by hand1821mzimmermBash Math Operations (Bash Arithmetic) Explained {+11 Examples}14889132023-12-22T20:21:48ZZ1821mzimmermWelcome | Brilliant14850462023-11-01T03:34:33ZZ1821mzimmermBayes' theorem - original14848212023-10-07T05:02:58ZZ1821mzimmermA 79-year-old mathematician may have just solved an infinite dimension puzzle that's vexed theorists for decades14847332023-10-02T04:41:24ZZThe invariant subspace problem on Hilbert space1821mzimmermMathematics of Quantization of Real Scalar Fields | by Areeba Merriam | Aug, 2023 | Cantor’s Paradise14837392023-08-05T09:00:08ZZ1821mzimmermEllsberg paradox - Wikipedia14774832023-07-19T15:02:58Z2023-07-19T15:04:48Z1821mzimmermHomomorphism - Wikipedia14204012023-05-19T22:08:02ZZ1821mzimmermIsomorphism - Wikipedia14204002023-05-19T22:06:23Z2023-05-20T05:54:51ZThe logarithm function
log(x.y) = log(x) + log(y)
so it is a group homomorphism R+->R.
The exponential function
e^(x+y) = e^x . e^y
so it too is a homomorphism R->R+
Another note: Formalizing intuition (of existence of natural isomorphism between vector space V and its 'dual dual') is a motivation for the development of category theory.1821mzimmermSymmetric group - Wikipedia14203992023-05-19T21:10:34ZZ1821mzimmermGroup action - Wikipedia14203982023-05-19T20:43:25ZZ1821mzimmermSpace (mathematics) - Wikipedia14203972023-05-19T17:46:05ZZ1821mzimmermLinear map - Wikipedia14203832023-05-18T05:24:30ZZ1821mzimmermFunction space - Wikipedia14202612023-05-05T03:02:25ZZFunctional Analyses1821mzimmerm(1) Tivadar Danka (@TivadarDanka) / Twitter12948002023-01-09T19:20:50ZZ1821mzimmermClassical Logic (Stanford Encyclopedia of Philosophy)12947722023-01-03T04:36:58ZZ1821mzimmermlinear algebra - Can any 3d rotation be done with only two angles? - Mathematics Stack Exchange11865032022-07-10T23:44:18ZZ1821mzimmerm3D Rotations: Intuitions And Limitations | by OngKoonHan | Towards Data Science11865012022-07-10T23:43:33ZZ1821mzimmermOtázky, na kterých letos pohořelo nejvíc maturantů. Jak byste dopadli vy? - Seznam Zprávy11192322022-06-05T05:08:18ZZ1821mzimmermHilbert's problems - Wikipedia9589232021-12-04T01:12:21ZZ1821mzimmerm[1904.12320] Real numbers, data science and chaos: How to fit any dataset with a single parameter7975092021-09-30T19:38:37Z2021-09-30T12:47:11ZSomehow, using a single parameter can fit any dataset (arbitrarily close, depending on Tau). The function is
fα(x) = sin^2(2^xτ * arcsin √α)1821mzimmerm