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We formulate a complex analog of the celebrated Levi-Hadwiger-Boltyanski illumination (or covering) conjecture for complex convex bodies in C^n, as well as its (non-comparable) fractional version. A key element in posing these problems is computing t
Externí odkaz:
http://arxiv.org/abs/2410.12021
Conjugation accelerates bacterial evolution by enabling bacteria to acquire genes horizontally from their neighbors. Because plasmid donors must physically connect with recipients to allow plasmid transfer, environmental fluid flows may increase conj
Externí odkaz:
http://arxiv.org/abs/2410.07012
Chemotaxis enables marine bacteria to increase encounters with phytoplankton cells by reducing their search times, provided that bacteria detect noisy chemical gradients around phytoplankton. Gradient detection depends on bacterial phenotypes and phy
Externí odkaz:
http://arxiv.org/abs/2410.03641
In this paper we define and investigate a class of polytopes which we call "vertex generated" consisting of polytopes which are the average of their $0$ and $n$ dimensional faces. We show many results regarding this class, among them: that the class
Externí odkaz:
http://arxiv.org/abs/2407.20604
Akademický článek
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Akademický článek
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Autor:
Beth Whittington, Evangelos Tzolos, Shruti Joshi, Rong Bing, Jack Andrews, Krithika Loganath, Neil Craig, Craig Balmforth, Laura Clark, Christophe Lucatelli, Mark G MacAskill, Adriana A. S. Tavares, Tim Clark, Nicholas L. Mills, Jennifer Nash, Damini Dey, Piotr J. Slomka, Norman Koglin, Andrew W. Stephens, Marc R. Dweck, Michelle C. Williams, William Whiteley, Edwin J. R. van Beek, Joanna M. Wardlaw, David E. Newby
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-11 (2024)
Abstract 18F-GP1 is a novel highly specific radiotracer that binds to activated platelets and thrombus. We aimed to establish the observer repeatability of coronary, carotid and cerebral 18F-GP1 uptake in patients presenting with acute myocardial inf
Externí odkaz:
https://doaj.org/article/194b1bf42855456291d6ae2505b2b1c3
Digital signal theory is an extension of the analysis of continuous signals. This extension is provided by discretization and sampling. The sampling of signals can be mathematically described by a series of Dirac impulses and is well known. Propertie
Externí odkaz:
http://arxiv.org/abs/2307.16604
In this paper we explore questions regarding the Minkowski sum of the boundaries of convex sets. Motivated by a question suggested to us by V.~Milman regarding the volume of $\partial K+ \partial T$ where $K$ and $T$ are convex bodies, we prove sharp
Externí odkaz:
http://arxiv.org/abs/2306.15293
Over the last decade, substantial progress has been made in understanding the topology of quasi-2D non-equilibrium fluid flows driven by ATP-powered microtubules and microorganisms. By contrast, the topology of 3D active fluid flows still poses inter
Externí odkaz:
http://arxiv.org/abs/2306.01062