John Mangual

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 Name John Mangual Member for 3 years Seen yesterday Website Location Santa Barbara, CA Age 28

 May17 revised How to get 3-manifold, Knots from Number Fieldsdeleted 1 characters in body May17 comment How to get 3-manifold, Knots from Number FieldsMr Sausage, or Mr Roll. The typo is fixed. Thank you. May14 comment How to get 3-manifold, Knots from Number Fieldsclearly that is the book on this topic. I have to find it in a library or buy it... I don't know if my question is clear or specific enough to get an answer other than "goto Machlachlan-Reid" May14 asked How to get 3-manifold, Knots from Number Fields Apr3 awarded ● Popular Question Mar28 awarded ● Popular Question Mar25 revised variant of Haar measureadded 2 characters in body Mar25 asked variant of Haar measure Mar22 asked sequences of non-crossing matchings by mutation Mar14 comment Two Different Representations of Multivariate Bernstein Polynomialsthey are not equivalent. the second one converges to f, while the first one is a convex function related to f Mar14 comment Two Different Representations of Multivariate Bernstein Polynomialsthe first one might be wrong en.wikipedia.org/wiki/Bernstein_polynomial Mar14 answered Hilbert Matrix and Approximation Theory Mar14 revised Hilbert Matrix and Approximation Theorydeleted 4 characters in body Mar10 revised Hilbert Matrix and Approximation Theoryadded 2 characters in body Mar10 asked Hilbert Matrix and Approximation Theory Mar6 awarded ● Popular Question Feb22 comment The unreasonable effectiveness of Pade approximationI found some papers relating on Pade approximation and the Stieltjes moment problem. Maybe these clarify the sense in which they are the "best approximation". Also, I provided a counter example where Pade approxmation is worse -- but it's off diagonal. Feb22 revised The unreasonable effectiveness of Pade approximationanother source Feb22 revised The unreasonable effectiveness of Pade approximationadded counterexample Feb21 comment The unreasonable effectiveness of Pade approximation What is so exact about the Taylor series? How are we comparing approximations? $T_{m+n}$ and the Pade approximant agree up to $O(x^{m+n+1})$. As long as you fix the degree of the numerator and denominator, one can be recovered from the other.. Feb21 revised The unreasonable effectiveness of Pade approximationadded 983 characters in body Feb21 comment The unreasonable effectiveness of Pade approximationWhat do you mean "better" approximation? Do you mean pointwise, $L^1, L^2$ etc ? Feb21 comment The unreasonable effectiveness of Pade approximationI am explaining the "unreasonable effectiveness" of the Pade approximation by comparing it to continued fractions. Feb21 revised The unreasonable effectiveness of Pade approximationadded 234 characters in body Feb21 revised The unreasonable effectiveness of Pade approximationadded 1123 characters in body Feb21 revised The unreasonable effectiveness of Pade approximationadded 1048 characters in body Feb21 revised The unreasonable effectiveness of Pade approximationadded 710 characters in body; added 223 characters in body Feb21 answered The unreasonable effectiveness of Pade approximation Jan28 awarded ● Popular Question Jan24 awarded ● Popular Question Jan4 answered A q,t-extension of Plancherel Measure thru Yang-Mills Theory ? Dec30 revised spectrum of a polygon and zeta functionadded 100 characters in body Dec30 asked spectrum of a polygon and zeta function Dec29 revised Rotations, Harmonic Oscillators, Gaussians, Laddersadded link to Harmonic oscillator post Dec29 answered G-bundles in classical mechanics Dec26 asked Rotations, Harmonic Oscillators, Gaussians, Ladders Dec26 awarded ● Popular Question Dec19 asked visualizing singularities of maps from sphere to R^2 Dec11 awarded ● Nice Question Dec7 awarded ● Popular Question Dec4 awarded ● Popular Question Dec3 awarded ● Nice Answer Nov23 revised Bohr sets, Coin-flip sets and Roth’s theoremadded 84 characters in body Nov23 revised Bohr sets, Coin-flip sets and Roth’s theoremlinks to other resources on Roth's theorem Nov23 asked Bohr sets, Coin-flip sets and Roth’s theorem