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Propagating Geometry Information to Finite Element Computations [PDF]
ACM Transactions on Mathematical Software, 2021 The traditional workflow in continuum mechanics simulations is that a geometry description -for example obtained using Constructive Solid Geometry (CSG) or Computer Aided Design (CAD) tools-forms the input for a mesh generator.
Luca Heltai +2 more
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IEEE Transactions on Information Theory, 2005
Summary: New algebraic methods for constructing codes based on hyperplanes of two different dimensions in finite geometries are presented. The new construction methods result in a class of multistep majority-logic decodable codes and three classes of low-density parity-check (LDPC) codes. Decoding methods for the class of majority-logic decodable codes,
Heng Tang +3 more
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Summary: New algebraic methods for constructing codes based on hyperplanes of two different dimensions in finite geometries are presented. The new construction methods result in a class of multistep majority-logic decodable codes and three classes of low-density parity-check (LDPC) codes. Decoding methods for the class of majority-logic decodable codes,
Heng Tang +3 more
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Erkenntnis, 2001
To exemplify the adequacy of a finitistic approach to geometry, motivated by early Greek an Roman applications to architecture (Agatharcus, Vitruvius, etc.), the author presents a quantifier-free axiom system for affine geometry, similar to his earlier one [Synthese 125, 263-281 (2000; Zbl 0967.03053)].
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To exemplify the adequacy of a finitistic approach to geometry, motivated by early Greek an Roman applications to architecture (Agatharcus, Vitruvius, etc.), the author presents a quantifier-free axiom system for affine geometry, similar to his earlier one [Synthese 125, 263-281 (2000; Zbl 0967.03053)].
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Designs, Codes and Cryptography
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ilaria Cardinali +3 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ilaria Cardinali +3 more
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2017
This chapter investigates probability distributions on a finite sample space and takes advantage of the more elementary nature of this setting. There are two complementary ways to view a probability distribution. One consists in viewing it as (positive) measure with total mass 1.
Ay, Nihat +3 more
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This chapter investigates probability distributions on a finite sample space and takes advantage of the more elementary nature of this setting. There are two complementary ways to view a probability distribution. One consists in viewing it as (positive) measure with total mass 1.
Ay, Nihat +3 more
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Journal of Symbolic Logic, 1999
AbstractAssumeTis a superstable theory with < 2ℵ0countable models. We prove that any *- algebraic type of-rank > 0 is m-nonorthogonal to a *-algebraic type of-rank 1. We study the geometry induced by m-dependence on a *-algebraic typep*of-rank 1.
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AbstractAssumeTis a superstable theory with < 2ℵ0countable models. We prove that any *- algebraic type of-rank > 0 is m-nonorthogonal to a *-algebraic type of-rank 1. We study the geometry induced by m-dependence on a *-algebraic typep*of-rank 1.
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Canadian Journal of Mathematics, 1952
James Singer [12] has shown that there exists a collineation which is transitive on the (t - 1)-spaces, that is, (t - 1)-dimensional linear subspaces, of PG(t, pn). In this paper we shall generalize this result showing that there exist t - r collineations which together are transitive on the s-spaces of PG(t, pn). An explicit construction will be given
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James Singer [12] has shown that there exists a collineation which is transitive on the (t - 1)-spaces, that is, (t - 1)-dimensional linear subspaces, of PG(t, pn). In this paper we shall generalize this result showing that there exist t - r collineations which together are transitive on the s-spaces of PG(t, pn). An explicit construction will be given
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Journal of Mathematical Sciences, 2008
The author gives a brief introductory treatment of some standard topics in finite geometry: projective planes, projective spaces, affine planes, Möbius planes, Hjelmslev planes, hyperbolic planes, partial geometries. While the exposition is nice enough, the paper suffers from the almost complete absence of references to more recent results, and is ...
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The author gives a brief introductory treatment of some standard topics in finite geometry: projective planes, projective spaces, affine planes, Möbius planes, Hjelmslev planes, hyperbolic planes, partial geometries. While the exposition is nice enough, the paper suffers from the almost complete absence of references to more recent results, and is ...
openaire +2 more sources