Zobrazeno 1 - 10
of 5 570
pro vyhledávání: '"Campbell, A. B."'
Autor:
Campbell, Geoffrey B.
We describe the story of the Rogers-Ramanujan identities; being known for 85 years and having about 130 pure mathematics proofs, suddenly entering physics when Rodney Baxter solved the Hard Hexagon Model in Statistical Mechanics in 1980. We next cove
Externí odkaz:
http://arxiv.org/abs/2405.08425
Autor:
Campbell, Geoffrey B.
We cover rational and integer solutions for the equations $\mathbf{x^y = y^x}$ and $\mathbf{x^y y^x = v^w w^v}$. The former equation solutions go back to Euler, and the latter equation solutions appear to be new. Another definitely new related topic
Externí odkaz:
http://arxiv.org/abs/2404.10783
Autor:
Holden, Matthew H., Plagányi, Eva E., Fulton, Elizabeth A., Campbell, Alexander B., Janes, Rachel, Lovett, Robyn A., Wickens, Montana, Adams, Matthew P., Botelho, Larissa Lubiana, Dichmont, Catherine M., Erm, Philip, Helmstedt, Kate J, Heneghan, Ryan F., Mendiolar, Manuela, Richardson, Anthony J., Rogers, Jacob G. D., Saunders, Kate, Timms, Liam
Mathematical and statistical models underlie many of the world's most important fisheries management decisions. Since the 19th century, difficulty calibrating and fitting such models has been used to justify the selection of simple, stationary, singl
Externí odkaz:
http://arxiv.org/abs/2403.17446
Autor:
Campbell, Geoffrey B.
We set out an elementary approach to derive Visible Point Identities summed on lattice points of inverted triangle (2D), pyramid (3D), hyperpyramid (4D, 5D and so on) utilizing the greatest common divisor for the nD Visible Point Vectors. This enable
Externí odkaz:
http://arxiv.org/abs/2309.16094
Autor:
Campbell, Geoffrey B.
We set the scene with known values and functional relations for dilogarithms, trilogarithms and polylogarithms of various orders, along with more recent Euler sum values and multidimensional computations paying homage to the three late Professors Bor
Externí odkaz:
http://arxiv.org/abs/2306.02241
Autor:
Campbell, Geoffrey B.
We prove identities generating higher dimensional vector partitions. We derive theorems for integer lattice points in the 2D first quadrant, then generalize the approach to find 3D and $n$-space lattice point vector region extensions. We also state c
Externí odkaz:
http://arxiv.org/abs/2302.01091
Autor:
Campbell, Geoffrey B.
We derive continued fractions for partition generating functions, utilizing both Euler's techniques and Ramanujan's techniques. Although our results are for integer partitions there is scope to extend this work to vector partitions, including for bin
Externí odkaz:
http://arxiv.org/abs/2301.12945
Autor:
Abdelhalim, Awad, Shuman, Daniela, Stewart, Anson F, Campbell, Kayleigh B, Patel, Mira, de Madariaga, Ines Sanchez, Zhao, Jinhua
There are substantial differences in travel behavior by gender on public transit. Studies have concluded that these differences are largely attributable to household responsibilities typically falling disproportionately on women, leading to women bei
Externí odkaz:
http://arxiv.org/abs/2211.04915
Autor:
Campbell, Drayson B., Gutta, Goutam, Sobol, Carly G., Atway, Said A., Haurani, Mounir J., Chen, Xiaodong P., Rowe, Vincent L., Stacy, Mitchel R., Go, Michael R.
Publikováno v:
In Journal of Vascular Surgery October 2024 80(4):1226-1237
Autor:
Woods, Brittany M., Bray, Leigh A., Campbell, Sukhkamal B., Li, Peng, Kazmerski, Traci M., Hovater, Cade, Pitts, Leslie N., Ladores, Sigrid
Publikováno v:
In Journal of Cystic Fibrosis July 2024 23(4):658-663