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bio website tcjpn.wordpress.com
location Japan
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visits member for 3 years, 7 months
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Aug
28
comment The twisted kiss of the curvaceous cubic and the staid tetrahedron (references)
Some updated observations with relations to geometric operators on the n-simplex are given at tcjpn.wordpress.com in "Goin' with the Flow".
Aug
14
awarded  Notable Question
Aug
2
awarded  Popular Question
Jul
28
revised Rationale for Hadamard's finite part of a divergent integral
explicit integration and differentiation added
Jul
28
awarded  Excavator
Jul
28
revised Rationale for Hadamard's finite part of a divergent integral
Corrected LaTex
Jul
28
suggested suggested edit on Rationale for Hadamard's finite part of a divergent integral
Jul
23
awarded  Peer Pressure
Jul
19
comment How does one justify funding for mathematics research?
I find the motif "unreasonable effectiveness" a sleight of hand. What's so unexpected about the products of an intelliigence embedded in and evolving with the world being useful in dealing with that world? Cf. Philosophy in the Flesh.
Jul
18
comment How does one justify funding for mathematics research?
There's a visceral aspect to doing mathematics for many if not most mathematicians (Thurston comes to mind) that can imbue their lives wtth meaning, a sense of purpose, a calling, a passion, a depth. When we talk about saving lives, we should not forget to consider for what kind of life. We underwrite religion, sports, the arts, and other endeavors that can give meaning, direction, a centering in the chaos or inane that might otherwise engulf us, so given the resources why not support exploratory math?
Jul
18
comment How does one justify funding for mathematics research?
@godelian Google topology cardiac arrhythmia Winfree
Jul
17
comment How does one justify funding for mathematics research?
Neil Armstrong: ... there's a fundamental truth to our nature, Man must explore ...
Jul
17
answered How does one justify funding for mathematics research?
Jul
9
awarded  Civic Duty
Jul
8
comment Ordinary Generating Function for Bell Numbers
The restrictions on s and t are more stringent for some sums, of course.
Jul
8
comment Cavalieri's principle and inversion of the Vandermonde matrix
I deleted my MO answer containing the inverse matrix for the Vandermonde matrix, but will present it again in some notes at my website/petite-arxiv on the Vandermonde matrix in construction.
Jul
6
revised Ordinary Generating Function for Bell Numbers
Typo in formula
Jul
6
revised Ordinary Generating Function for Bell Numbers
Introduced dual equation thru umbral compositional inverse
Jul
1
comment Ordinary Generating Function for Bell Numbers
Btw, the Lang reference in my answer with proofs of Qiaochu's and Zurab's assertions came from the OEIS entry.
Jun
30
revised Ordinary Generating Function for Bell Numbers
Added info on generalized Dobinski formula.