John Mangual

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

Math/Phys graduate student @ UCSB

I like statistics and geometry.

May
17
revised How to get 3-manifold, Knots from Number Fields
deleted 1 characters in body
May
17
comment How to get 3-manifold, Knots from Number Fields
Mr Sausage, or Mr Roll. The typo is fixed. Thank you.
May
14
comment How to get 3-manifold, Knots from Number Fields
clearly 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"
May
14
asked How to get 3-manifold, Knots from Number Fields
Apr
3
awarded  Popular Question
Mar
28
awarded  Popular Question
Mar
25
revised variant of Haar measure
added 2 characters in body
Mar
25
asked variant of Haar measure
Mar
22
asked sequences of non-crossing matchings by mutation
Mar
14
comment Two Different Representations of Multivariate Bernstein Polynomials
they are not equivalent. the second one converges to f, while the first one is a convex function related to f
Mar
14
comment Two Different Representations of Multivariate Bernstein Polynomials
the first one might be wrong en.wikipedia.org/wiki/Bernstein_polynomial
Mar
14
answered Hilbert Matrix and Approximation Theory
Mar
14
revised Hilbert Matrix and Approximation Theory
deleted 4 characters in body
Mar
10
revised Hilbert Matrix and Approximation Theory
added 2 characters in body
Mar
10
asked Hilbert Matrix and Approximation Theory
Mar
6
awarded  Popular Question
Feb
22
comment The unreasonable effectiveness of Pade approximation
I 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.
Feb
22
revised The unreasonable effectiveness of Pade approximation
another source
Feb
22
revised The unreasonable effectiveness of Pade approximation
added counterexample
Feb
21
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..
Feb
21
revised The unreasonable effectiveness of Pade approximation
added 983 characters in body
Feb
21
comment The unreasonable effectiveness of Pade approximation
What do you mean "better" approximation? Do you mean pointwise, $L^1, L^2$ etc ?
Feb
21
comment The unreasonable effectiveness of Pade approximation
I am explaining the "unreasonable effectiveness" of the Pade approximation by comparing it to continued fractions.
Feb
21
revised The unreasonable effectiveness of Pade approximation
added 234 characters in body
Feb
21
revised The unreasonable effectiveness of Pade approximation
added 1123 characters in body
Feb
21
revised The unreasonable effectiveness of Pade approximation
added 1048 characters in body
Feb
21
revised The unreasonable effectiveness of Pade approximation
added 710 characters in body; added 223 characters in body
Feb
21
answered The unreasonable effectiveness of Pade approximation
Jan
28
awarded  Popular Question
Jan
24
awarded  Popular Question
Jan
4
answered A q,t-extension of Plancherel Measure thru Yang-Mills Theory ?
Dec
30
revised spectrum of a polygon and zeta function
added 100 characters in body
Dec
30
asked spectrum of a polygon and zeta function
Dec
29
revised Rotations, Harmonic Oscillators, Gaussians, Ladders
added link to Harmonic oscillator post
Dec
29
answered G-bundles in classical mechanics
Dec
26
asked Rotations, Harmonic Oscillators, Gaussians, Ladders
Dec
26
awarded  Popular Question
Dec
19
asked visualizing singularities of maps from sphere to R^2
Dec
11
awarded  Nice Question
Dec
7
awarded  Popular Question
Dec
4
awarded  Popular Question
Dec
3
awarded  Nice Answer
Nov
23
revised Bohr sets, Coin-flip sets and Roth’s theorem
added 84 characters in body
Nov
23
revised Bohr sets, Coin-flip sets and Roth’s theorem
links to other resources on Roth's theorem
Nov
23
asked Bohr sets, Coin-flip sets and Roth’s theorem