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pro vyhledávání: '"A Monsky"'
Autor:
Monsky, Paul
In this note I give simple proofs of classical results of Euler, Legendre and Sylvester showing that for certain integers M there are no (or only a few) solutions of $x^3 + y^3 = M$, with $x$ and $y$ in $\mathbb{Q}$. The proofs all use a single argum
Externí odkaz:
http://arxiv.org/abs/2309.00162
Autor:
Ambekar, Pratik A., Wang, Yak-Nam, Khokhlova, Tatiana, Bruce, Matthew, Leotta, Daniel F., Totten, Stephanie, Maxwell, Adam D., Chan, Keith, Liles, W. Conrad, Dellinger, E. Patchen, Monsky, Wayne, Adedipe, Adeyinka A., Matula, Thomas J.
Publikováno v:
In Ultrasound in Medicine & Biology December 2023 49(12):2451-2458
Autor:
Evan Hall, Shailender Bhatia, Joshua Veatch, Wayne Monsky, Natalie J Miller, Jacob Leary, William McCamy
Publikováno v:
Journal for ImmunoTherapy of Cancer, Vol 11, Iss Suppl 1 (2023)
Externí odkaz:
https://doaj.org/article/eec190efbfad45b3ac51a9fac1981070
In-flight photometry extraction of PLATO targets: Optimal apertures for detecting extrasolar planets
Autor:
Marchiori, V., Samadi, R., Fialho, F., Paproth, C., Santerne, A., Pertenais, M., Börner, A., Cabrera, J., Monsky, A., Kutrowski, N.
Publikováno v:
A&A 627, A71 (2019)
The ESA PLATO space mission is devoted to unveiling and characterizing new extrasolar planets and their host stars. This mission will encompass a very large field of view, granting it the potential to survey up to one million stars depending on the f
Externí odkaz:
http://arxiv.org/abs/1906.00892
Autor:
Brian Serafini, MS, Lanu Kim, PhD, Basil M. Saour, MD, Ryan James, PhD, Blake Hannaford, PhD, Ryan Hansen, PharmD, Tadayoshi Kohno, PhD, Wayne Monsky, MD, PhD, Stephen P. Seslar, MD, PhD
Publikováno v:
Cardiovascular Digital Health Journal, Vol 3, Iss 6, Pp 313-319 (2022)
Background: Telerobotic surgery could improve access to specialty procedures such as cardiac catheter ablation in rural and underserved regions in the United States and worldwide. Advancements in telecommunications, internet infrastructure, and surgi
Externí odkaz:
https://doaj.org/article/1ddb3580cd204bfe8f15195f53eae52b
Autor:
Kan, Xuefeng, Zhang, Feng, Zhou, Guanhui, Ji, Hongxiu, Monsky, Wayne, Ingraham, Christopher, Zheng, Chuansheng, Yang, Xiaoming
Publikováno v:
Proceedings of the National Academy of Sciences of the United States of America, 2021 Oct 01. 118(41), 1-9.
Externí odkaz:
https://www.jstor.org/stable/27093422
Akademický článek
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Autor:
Monsky, Paul
Let $M(\mathit{odd})\subset Z/2[[x]]$ be the space of odd mod~2 modular forms of level $\Gamma_{0}(3)$. It is known that the formal Hecke operators $T_{p}:Z/2[[x]]\rightarrow Z/2[[x]]$, $p$ an odd prime other than $3$, stabilize $M(\mathit{odd})$ and
Externí odkaz:
http://arxiv.org/abs/1703.04193
Autor:
Monsky, Paul
In arXiv:1603.03910 [math.NT] we introduced some $C_{n}$ in $Z/2[t]$ defined by a linear recurrence and showed that each $C_{n}$, $n\equiv 0 \bmod{4}$, is a sum of $C_{k}$, $k
Externí odkaz:
http://arxiv.org/abs/1612.01599
Autor:
Monsky, Paul
Let $F$ be the element $\sum_{n\ \mathit{odd},\ n>0}x^{n^{2}}$ of $Z/2[[x]]$. Set $G=F(x^{5})$, $D=F(x)+F(x^{25})$. For $k>0$, $(k,10)=1$, define $D_{k}$ as follows. $D_{1}=D$, $D_{3}=D^{8}/G$, $D_{7}=D^{2}G$, $D_{9}=D^{4}G$; furthermore $D_{k+10}=G^
Externí odkaz:
http://arxiv.org/abs/1610.07058