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pro vyhledávání: '"A Kroeker"'
Generalizing a theorem of the first two authors and Geelen for planes, we show that, for a real-representable matroid $M$, either the average hyperplane-size in $M$ is at most a constant depending only on its rank, or each hyperplane of $M$ contains
Externí odkaz:
http://arxiv.org/abs/2410.05513
Autor:
Grahlow, Fabian, Strauß, Fabian, Scheele, Marcus, Ströbele, Markus, Carta, Alberto, Weber, Sophie F., Kroeker, Scott, Romao, Carl P., Meyer, H. -Jürgen
Publikováno v:
Phys. Chem. Chem. Phys., 2024, 26, 11789-11797
The crystal structures of ANb$_3$Br$_7$S (A = Rb and Cs) have been refined by single crystal X-ray diffraction, and are found to form highly anisotropic materials based on chains of the triangular Nb$_3$ cluster core. The Nb$_3$ cluster core contains
Externí odkaz:
http://arxiv.org/abs/2401.12062
Melchior's inequality implies that the average line-length in a simple, rank-$3$, real-representable matroid is less than $3$. A similar result holds for complex-representable matroids, using Hirzebruch's inequality, but with a weaker bound of $4$. W
Externí odkaz:
http://arxiv.org/abs/2310.02826
Autor:
Geelen, Jim, Kroeker, Matthew E.
We show that, for any prime $p$ and integer $k \geq 2$, a simple GF($p$)-representable matroid with sufficiently high rank has a rank-$k$ flat which is either independent in $M$, or is a projective or affine geometry. As a corollary we obtain a Ramse
Externí odkaz:
http://arxiv.org/abs/2309.15185
Autor:
Oladyshkin, Sergey, Praditia, Timothy, Kröker, Ilja, Mohammadi, Farid, Nowak, Wolfgang, Otte, Sebastian
Publikováno v:
Neural Networks Volume 166, September 2023, Pages 85-104
Artificial Intelligence and Machine learning have been widely used in various fields of mathematical computing, physical modeling, computational science, communication science, and stochastic analysis. Approaches based on Deep Artificial Neural Netwo
Externí odkaz:
http://arxiv.org/abs/2306.14753
Autor:
Loay Al-Salehi, Shannon G. Kroeker, Jason R. Kerrigan, Peter A. Cripton, Matthew B. Panzer, Gunter P. Siegmund
Publikováno v:
Injury Epidemiology, Vol 11, Iss 1, Pp 1-16 (2024)
Abstract Background Rollover crashes continue to be a substantial public health issue in North America. Previous research has shown that the cervical spine is the most injured spine segment in rollovers, but much of the past research has focused on r
Externí odkaz:
https://doaj.org/article/9323806a1dad439b99cd655e1512c35a
Autor:
Geelen, Jim, Kroeker, Matthew E.
The Sylvester-Gallai Theorem states that every rank-$3$ real-representable matroid has a two-point line. We prove that, for each $k\ge 2$, every complex-representable matroid with rank at least $4^{k-1}$ has a rank-$k$ flat with exactly $k$ points. F
Externí odkaz:
http://arxiv.org/abs/2212.03307
Autor:
Valérie Courval, Raymond Tang, Peter Rose, Naisan Garraway, Robin Som, Jenna Kroeker, Anas Wess, Yuwei Yang, Bader Al-Zeer, Harjot Uppal, Patricia Balmes, Nasira Lakha, Angie Brisson, Jennifer Sakai, Emilie Joos
Publikováno v:
Trauma Surgery & Acute Care Open, Vol 9, Iss 1 (2024)
Introduction Traumatic rib fractures present a considerable risk to patient well-being, contributing to morbidity and mortality in trauma patients. To address the risks associated with rib fractures, evidence-based interventions have been implemented
Externí odkaz:
https://doaj.org/article/16316b18fd8844ceb9f3a1be0d842ba2
Autor:
Kaitlyn Delaney Chappell, Diana Meakins, Melanie Marsh-Joyal, Allison Bihari, Karen J Goodman, Jean-Michel Le Melledo, Allen Lim, Farhad Peerani, Karen Ivy Kroeker
Publikováno v:
JMIR Formative Research, Vol 8, p e53550 (2024)
BackgroundIndividuals with inflammatory bowel disease (IBD) experience cycles of aggressive physical symptoms including abdominal pain, diarrhea, and fatigue. These acute symptoms regress and return, and chronic symptoms and complications often linge
Externí odkaz:
https://doaj.org/article/29f5b3e18e7140469bfa142b3e2b2141
Polynomial chaos expansion (PCE) is a versatile tool widely used in uncertainty quantification and machine learning, but its successful application depends strongly on the accuracy and reliability of the resulting PCE-based response surface. High acc
Externí odkaz:
http://arxiv.org/abs/2204.06043