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# Category Archives: Uncategorized

## Mellin convolution for generalized Hadamard product of functions/power series

(Rough draft . WordPress editor gone flaky. ) From representations of umbral substitution by differential operators, this note derives an inverse Mellin transform and its associated Mellin convolution giving the Hadamard product of two functions or power series.

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## Hacking Reality [Official Film]

Fun, well-done, elementary intro to E8 in physics (and dynamics and propaganda of the physics/math/Internet community). A variation on the motif Shadows of Simplicity.

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## Quotes Post:

Ongoing collection of quotes attributed (mod my lapses in memory) to mathematicians and physicists or about their work: d’Alembert: Go forward, faith will follow!

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## A Centroid Computation

This is a temporary pedagogical post of an elementary computation of a centroid required in an application to a potential employer.

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## A Vector Calculus Computation of the Volume of a Parallelpiped

This is a temporary pedagogical entry of a simple vector triple product calculation required in an application to a potential employer.

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## The Elliptic Lie Triad: KdV and Riccati Equations, Infinigens, and Elliptic Genera

The Elliptic Lie Triad: Riccati and KdV Equations, Infinigens, and Elliptic Genera (This site was not correctly updating, so the notes were transcribed to this pdf.) Addendum to The Elliptic Lie Triad

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Tagged Bernoulli numbers, Burgers' equation, Chebyshev polynomials, Combinatorics, Compositional inverse, Differential operators, Elliptic curves, Elliptic formal group law, Elliptic genera, Enumerative combinatorics, Euler numbers, Eulerian numbers, Evolution equations, Faber polynomials, Geodesics of Virasoro-Bott group, Grassmann polynomials, Grassmannian, Heat equation, Hyperbolic tangent, Infinigens, Infinitesimal generators, KdV, Korteweg-de Vries equation, L-genus, Lie algebra, Lucas (Cardan) polynomials, Refined Eulerian numbers, Riccati, Schwarzian derivative, SL2, Solitons, Swiss knife polynomials, Viscous Burgers equation
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