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4 papers · 1 filter
Some New Addition Formulae for Weierstrass Elliptic Functions
J. Chris Eilbeck, Matthew England, Yoshihiro Ônishi
We present new addition formulae for the Weierstrass functions associated with a general elliptic curve. We prove the structure of the formulae in n-variables and give the explicit…
Real-time In Situ Electron Spin Resonance Measurements on Fungal Spores of Penicillium digitatum during Exposure of Oxygen Plasmas
Kenji Ishikawa, Hiroko Moriyama, Hiromasa Tanaka +9
We report the kinetic analysis of free radicals on fungal spores of Penicillium digitatum interacted with atomic oxygen generated plasma electric discharge using real time in situ…
A mathematical problem for security analysis of hash functions and pseudorandom generators
Koji Nuida, Takuro Abe, Shizuo Kaji +2
In this paper, we specify a class of mathematical problems, which we refer to as "Function Density Problems" (FDPs, in short), and point out novel connections of FDPs to the follow…
A class of multivariate infinitely divisible distributions related to arcsine density
Makoto Maejima, Víctor Pérez-Abreu, Ken-iti Sato
Two transformations and of Lévy measures on based on the arcsine density are studied and their relation to general Upsilon transforma…