Results 31 to 40 of about 44,177 (192)
COMPARATIVE PRECISION OF THE PIVOTAL ESTIMATORS OF PARTICLE SIZE
The pivotal estimators of the surface area and the volume of a generic "particle" are based on a point sampled test line on an isotropic pivotal plane through a fixed point called the pivotal point.
Luis M Cruz-Orive
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Optimal divisions of a convex body
For a convex body $C$ in $\mathbb{R}^d$ and a division of $C$ into convex subsets $C_1,\ldots,C_n$, we can consider $max\{F(C_1),\ldots, F(C_n)\}$ (respectively, $min\{F(C_1),\ldots, F(C_n)\}$), where $F$ represents one of these classical geometric magnitudes: the diameter, the minimal width, or the inradius.
Cañete Martín, Antonio Jesús+2 more
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AbstractIn this paper we introduce and study a topological abelian group of convex bodies, analogous to the scissors congruence group and McMullen’s polytope algebra, with the universal property that continuous valuations on convex bodies correspond to continuous homomorphisms on the group of convex bodies.
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On Some Results in the Geometry of Convex Bodies and their Applications
We give a survey of some results in the geometry of convex bodies and their applications.
M. V. Nevskii
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Caenorhinus lobanovi, a new species of the tribe Deporaini (Coleoptera: Rhynchitidae) from Laos [PDF]
A new species, Caenorhinus (Flavodeporaus) lobanovi sp. n. from Central Laos is described and illustrated. This new species differs from Caenorhinus (Flavodeporaus) guskovae Legalov, 2021 from Laos in the unicoloured body (in C.
A.A. Legalov
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The Heat Transfer Problem in a Non-Convex Body—A New Procedure for Constructing Solutions
The subject of this work is the coupled steady-state conduction-radiation-convection heat transfer phenomenon in a non-convex blackbody, which is represented by a second-order partial differential equation (representing the heat conduction inside the ...
Rogério Martins Saldanha da Gama
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Convex bodies and multiplicities of ideals [PDF]
We associate convex regions in R^n to m-primary graded sequences of subspaces, in particular m-primary graded sequences of ideals, in a large class of local algebras (including analytically irreducible local domains). These convex regions encode information about Samuel multiplicities.
Askold Khovanskii+3 more
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Convex bodies of states and maps [PDF]
We give a general solution to the question when the convex hulls of orbits of quantum states on a finite-dimensional Hilbert space under unitary actions of a compact group have a non-empty interior in the surrounding space of all density states. The same approach can be applied to study convex combinations of quantum channels.
Janusz Grabowski+3 more
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Covering cross-polytopes with smaller homothetic copies
Let $ C_{n} $ be an $ n $-dimensional cross-polytope and $ \Gamma_{p}(C_{n}) $ be the smallest positive number $ \gamma $ such that $ C_{n} $ can be covered by $ p $ translates of $ \gamma C_{n} $.
Feifei Chen, Shenghua Gao, Senlin Wu
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Ball and spindle convexity with respect to a convex body [PDF]
27 pages, 5 ...
Lángi, Zsolt+2 more
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