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May
21
awarded  Revival
May
20
comment Cycling through the Zeta Garden: Zeta functions for graphs, cycle index polynomials, and determinants
@Draks: I'm denoting the matrices for the OEIS examples, not specifically for the Ihara zeta.
May
19
comment Cycling through the Zeta Garden: Zeta functions for graphs, cycle index polynomials, and determinants
@Draks: I'm no expert on the Ihara zeta function. Just going by equation 8 of Terras' paper and noting the general relation between edge or vertex adjacency matrices, traces, and enumeration of paths. If you find a connection to Chebyshev polynomials, that would be interesting.
May
15
comment How does one motivate the analytic continuation of the Riemann zeta function?
maths.tcd.ie/pub/HistMath/People/Riemann/Zeta
May
1
revised Why is there a connection between enumerative geometry and nonlinear waves?
corrected ODE and alternative formula for g(z)
Apr
27
comment In “splendid isolation”
The arxiv paper is "Understanding Heisenberg's 'Magical' Paper of July 1925: a New Look at the Calculational Details" by Aitchison, MacManus, and Snyder (pg. 4-5).
Apr
27
comment Should the formula for the inverse of a 2x2 matrix be obvious?
The geometry associated with Poloni's answer makes the algebra transparent, is easy to remember, and is suitable for introductory lessons on matrices and vectors in linear algebra.
Apr
25
comment Should the formula for the inverse of a 2x2 matrix be obvious?
I.e., an orientation and scaling giving unity for the inner products of the first (second) column of the inverse and first (second) row of A.
Apr
23
comment Should the formula for the inverse of a 2x2 matrix be obvious?
Geometrically, the off-diagonal elements of the resulting identity matrix being zero translates into the first column of the inverse matrix being orthogonal to the second row of the matrix to be inverted (A) and likewise for the second column of the inverse and the first row of the matrix A. Overall signs are determined by correct orientation of the orthognal vectors to give a normalization by the signed area (determinant) to unity.
Apr
19
revised A question about summation formula involving binomial coefficient
Corrected Tex
Apr
19
revised A question about summation formula involving binomial coefficient
Added a relation
Apr
16
answered A question about summation formula involving binomial coefficient
Apr
13
revised Why is there a connection between enumerative geometry and nonlinear waves?
Corrected notation
Apr
13
awarded  Necromancer
Mar
25
awarded  Nice Answer
Mar
19
comment Parodies of abstruse mathematical writing
Yet (in another universe), Walter Pitts notified Russell of several mistakes in the Principia (when Pitts was 12!). nautil.us/issue/21/information/…
Mar
17
comment Parodies of abstruse mathematical writing
Many of the examples here are cerebral. You smirk if anyone is around just so they understand you get the inside joke, but the Hitler parody is visceral, with the roles of authority reversed between the student and teachers, and had me ROTFL. I think disenchanted students can relate more to it than the insider jokes that are intended more to embarrass the pretentious than as a self-parody.
Mar
17
comment Parodies of abstruse mathematical writing
@LSpice "Hence" following a question!? Furthermore, the OP stipulates the source be a knowledgeable mathematician (= a random sentence generator? Maybe).
Mar
17
comment Parodies of abstruse mathematical writing
I suppose this is highly upvoted more for the examples at Eldredge's website than the grammatically incoherent example here.
Mar
14
comment Parodies of abstruse mathematical writing
Simplest example to illustrate Todd's "just about all": Hitler Learns Topology on YouTube.