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Extending the notion of sunflowers, we call a family of at least two sets an \emph{odd-sunflower} if every element of the underlying set is contained in an odd number of sets or in none of them. It follows from the Erd\H os--Szemer\'edi conjecture, recently proved by %Alweiss, Lovett, Wu, and Zhang, Naslund and Sawin, that there is a constant $\mu < ...
Frankl, Peter +2 more
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Minor revision and a reference added.
Martin Markl, Martin Markl
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Hooke's law states that the forces or stresses experienced by an elastic object are proportional to the applied deformations or strains. The number of coefficients of proportionality between stress and strain, i.e., the elastic moduli, is constrained by energy conservation.
Colin Scheibner +5 more
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Odd Viscosity and Odd Elasticity
Elasticity typically refers to a material's ability to store energy, whereas viscosity refers to a material's tendency to dissipate it. In this review, we discuss fluids and solids for which this is not the case. These materials display additional linear response coefficients known as odd viscosity and odd elasticity.
Fruchart, Michel +2 more
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An odd characterization of the generalized odd graphs [PDF]
We show that any connected regular graph with $d+1$ distinct eigenvalues and odd-girth $2d+1$ is distance-regular, and in particular that it is a generalized odd graph.
van Dam, E.R., Haemers, W.H.
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Odd-odd continued fraction algorithm
AbstractBy using a jump transformation associated to the Romik map, we define a new continued fraction algorithm called odd-odd continued fraction, whose principal convergents are rational numbers of odd denominators and odd numerators. Among others, it is proved that all the best approximating rationals of odd denominators and odd numerators of an ...
Kim, Dong Han +2 more
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The purpose of this study was to assess anticoagulant medication as an independent factor influencing the occurrence of a severe traumatic brain injury in geriatric patients.
Nicolas Eibinger +10 more
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Regularized Proportional Odds Models [PDF]
The proportional odds model is commonly used in regression analysis to predict the outcome for an ordinal response variable. The maximum likelihood approach becomes unstable or even fails in small samples with relatively large number of predictors.
Heumann, Christian +1 more
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On the oddness of percolation [PDF]
6 pages, 1 figure; discussion of boundary conditions has been ...
C Appert-Rolland, H J Hilhorst
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Chances and risks in the development of the smallest villages in Vysočina Region
Vysočina is the region with highest numbers of the smallest villages in the Czech Republic. The current levels of the infrastructure, conditions of living of the inhabitants and chances for development of the communities were examined by means of a ...
Marie Prášilová, Tomáš Hlavsa
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