Zobrazeno 1 - 10
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pro vyhledávání: '"Cooper, Shaun"'
Autor:
Cooper, Shaun
This note discusses elliptic functions in Ramanujan's work.
Externí odkaz:
http://arxiv.org/abs/2410.21905
We investigate the question of when an eta quotient is a derivative of a formal power series with integer coefficients and present an analysis in the case of level 10. As a consequence, we establish and classify an infinite number of integral evaluat
Externí odkaz:
http://arxiv.org/abs/2410.19186
The diffusionless martensitic phase transition from a hexagonal close-packed (hcp) arrangement to the face-centered close-packed (fcc) and subsequently the body-centered cubic (bcc) lattice is discussed for a Lennard-Jones solid. The associated latti
Externí odkaz:
http://arxiv.org/abs/2406.09635
Autor:
Cooper, Shaun
The Ap\'ery numbers may be defined by a cubic three-term recurrence relation, that is, a three-term relation where the coefficients are polynomials in the index of degree $3$. In this work, we first provide a systematic review of Ap\'ery numbers and
Externí odkaz:
http://arxiv.org/abs/2302.00757
We introduce two convergent series expansions (direct and recursive) in terms of Bessel functions and representations of sums $r_N(m)$ of squares for $N$-dimensional Madelung constants, $M_N(s)$, where $s$ is the exponent of the Madelung series (usua
Externí odkaz:
http://arxiv.org/abs/2202.01392
Publikováno v:
Phys. Rev. E 104, 035306 (2021)
A smooth path of rearrangement from the body-centered cubic (bcc) to the face-centered cubic (fcc) lattice is obtained by introducing a single parameter to cuboidal lattice vectors. As a result, we obtain analytical expressions in terms of lattice su
Externí odkaz:
http://arxiv.org/abs/2107.11380
Lattice sums of cuboidal lattices, which connect the face-centered with the mean-centered and the body-centered cubic lattices through parameter dependent lattice vectors, are evaluated by decomposing them into two separate lattice sums related to a
Externí odkaz:
http://arxiv.org/abs/2105.08922
Autor:
Cooper, Shaun John
This study aims to identify barriers to access and participation of adult internally displaced persons (IDPs) within the metropolitan area of Medellin, Colombia, as perceived by a sample of advisors, administrators and educators working with this pop
Externí odkaz:
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-147847
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