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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Generators, Inversion, and Matrix, Binomial, and Integral Transforms

Generators, Inversion, and Matrix, Binomial, and Integral Transforms is a belated set of notes (pdf) on a derivation of a generating function for the row polynomials of  OEIS-A111999 from its relation to the compositional inversion (a Lagrange inversion formula, LIF) presented … Continue reading

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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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