Where results make sense

About us   |   Why use us?   |   Reviews   |   PR   |   Contact us

Topic: Finite-dimensional

    Note: these results are not from the primary (high quality) database.

Ads by Google

In the News (Fri 4 Dec 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

Three dimensional simulations For the finite ridge simulations, (6.1) is replaced by the two-dimensional equivalent (4.2) between the north and south ends of the ridge. In addition, the circular and finite ridge shaped mountain flows are contrasted qualitatively with three-dimensional linear theory of Phillip’s (1984), Smith (1980, 1988, 1989), and numerical results of Reisner and Smolarkiewicz (1994). In the finite ridge tests, there is a slight increase in amplitude near the top of the model domain and is likely associated with a decrease in density with height. www.caps.ou.edu /~dweber/diss/chapter6.htm   (2806 words)

PlanetMath: classification of finite-dimensional representations of semi-simple Lie algebras This is version 1 of classification of finite-dimensional representations of semi-simple Lie algebras, born on 2002-12-04. Cross-references: type, weight lattice, dominant weight, finite dimensional, isomorphism, positive root, weight space, vector, representation, irreducible, Lie algebra, semi-simple There is a unique (up to isomorphism) irreducible finite dimensional representation of planetmath.org /encyclopedia/VectorOfHighestWeight.html   (131 words)

Assessment of Temperature Fluctuations in Asphalt Pavements Due to Thermal Environmental Conditions Using a Two-Dimensional Transient Finite Difference Approach The two-dimensional finite difference model is run using the corresponding weather data and a comparison plot between the actually measured and predicted asphalt surface temperatures as shown in Figure 8. The two-dimensional finite difference model is again run using the corresponding weather data and a comparison plot between the actually measured and predicted asphalt surface temperatures is shown in Figure 11. The proposed thermal model uses the one-dimensional, transient heat diffusion equation and subdivides the asphalt pavement into two regions: an asphalt lift and a ground base at the interface of which a constant conduction heat flux is assumed. ntl.bts.gov /lib/13000/13100/13135/MPC02-136.htm   (12222 words)

findim_rep There are examples of finitely presented groups without (non-trivial) finite quotients and such a group have no non-trivial finite dimensional representations by the same argument. For instance, SL(n,Z) for n>=3 is a lattice in SL(n,R) and is finitely presentable, but by Mostow Margulis Rigidity every representation of SL(n,Z) on a vector space of dimensional less than n has a kernel of finite index in SL(n,Z). Problem: Is the conjugacy problem for a finitely presented group which have a two-dimensional unitary representation solvable by a quantum computer in polynomial time? www.math.niu.edu /~rusin/known-math/99/findim_rep   (804 words)

APPENDIX J The loophole for genuine finite dimensional IRREPS of CCR is that the algebras of matricies over finite Galois fields are not normable, since the Galois fields themselves are not normable, having, as they do, essentially toroidal topologies induced by that of the underlying primitive Galois Field. This issue is discussed in the context of the complex field in [Section III], where it is shown that an infinite dimensional IRREP of CCR can be understood as a limit of finite dimensional FCCR in the strong operator topology, but definitely not in a norm topology. Finite fields may also be defined as root fields, also called splitting fields associated with the solutions of polynomial equations with coefficients in J_p, and, as such, as extensions of J_p. graham.main.nc.us /~bhammel/FCCR/apdxJ.html   (5929 words)

lueck_classifyingspaces1203.txt 5.1 Review of Finiteness Conditions on BG As an illustration we review the corresponding question for EG for a discrete group G. This is equivalent to the question whether for a given discrete group G there is a CW -complex model for BG which is finite, of finite type or finite dimensional. A finitely generated group G is called hyperbolic if for one (and hence all) finite symmetric set S of generators the metric space (G, dS) is a hyperbo* *lic metric space. Since for metric spaces the property hyperbolic is invariant under quasiisometry and for two symmetric finite sets S1 and S2 of generators of G the metric spaces (G, dS1) and (G, dS2) are quasiisometric, the choice of S does not matter. hopf.math.purdue.edu /Lueck/lueck_classifyingspaces1203.txt   (13567 words)

Mathematics and Statistics Colloquium A Lie algebra L is called locally finite if any finite subset of L generates a finite-dimensional subalgebra. Another case is that of algebraically closed fields of zero characteristic and so-called diagonal direct limits of finite-dimensional classical simple algebras. A locally finite Lie algebra L is called diagonal if it is isomorphic to a Lie subalgebra under the ordinary bracket operation [a,b]=aböba of a locally finite associative algebra A. More recently some structural results became available in the case of algebras, which belong to the classes of root-graded algebras or their immediate generalizations. math.usask.ca /colloquia/Bahturin_10_04_02.html   (245 words)

Finite Dimensional Affine Algebras Given an element f of a finite dimensional affine algebra Q defined over a field, return the representation matrix of f, which is a d by d matrix over the coefficient field of Q (where d is the dimension of Q) which represents f. Given an element f of a finite dimensional affine algebra Q defined over a field, return whether f is a unit. Given an element f of a finite dimensional affine algebra Q defined over a field, return whether f is nilpotent, and if so, return also the smallest q such that f^q = 0. www.math.lsu.edu /magma/text1138.htm   (358 words)

Selected publications I show that the associated Lie ring of the largest finite 3-generator group of exponent 5 has dimension 2282, and that it is a free Lie algebra in the variety of Lie algebras determined by the multilinear identities satisfied by the associated Lie rings of groups of exponent 5. In the case of finite m-generator groups of exponent 5 the class is bounded by 6m. Our theorem could be stated as: a finite m-generator group of prime power exponent q has order at most 2^2^...^2^m, where the height of the tower is q^q^q. users.ox.ac.uk /%7Evlee/selected.htm   (925 words)

Interaction of Finite Dimensional Algebras with other areas of Mathematics The exciting development in the representation theory of finite dimensional algebras in the last 30 years was based on the use of very intricate combinatorial methods (quivers, root systems, posets, integral quadratic forms). Thus, the scope of the applications of finite dimensional algebras will extend to algebraic geometry, automorphic forms, finite group representations and mathematical physics along the lines initiated at the 1992 Annual Canadian Mathematical Seminar at Carleton University and published by Kluwer Academic Publishers as Volume 424 of Series C: Mathematical and Physical Sciences. It is easy to summarize some of the remaining objectives: 1) Understanding in the broadest infinite-dimensional terms, but through finite dimensional algebras, the representations of Lie algebras in characteristic 0, and related geometric structures, such as perverse sheaves. www.pims.math.ca /birs/workshops/2004/04w5501   (1166 words)

Finite Dimensional Operators Finite Dimensional Operators have two dimensions: the dimension of the domain, and the dimension of the range. Finite Dimensional Operators are operators which map one discrete function to another. Finite Dimensional Operators provide all of the member functions that the Operator provides, e.g. www.research.ibm.com /nao/Primer/FiniteDimensionalOperatorPrimer.html   (113 words)

PlanetMath: dimension (vector space) is finite-dimensional if there exists a finite basis of Cross-references: real, complex, quotient vector space, subspace, natural number, dimension, cardinality, basis, finite, field, vector space For example, every complex vector space is also a real vector space, and therefore has a real dimension, double its complex dimension. planetmath.org /encyclopedia/Dimension2.html   (110 words)

Finite Rings An element of a ring that does not lie in any maximal ideal is a unit (by applying Zorn’s lemma; however, this is not required for finite rings or finite dimensional algebras). Finite rings and finite dimensional rings are examples of Artinian rings. The Jacobson radical of an Artinian ring is the product of its (finite collection of) maximal ideals and is a nilpotent ideal; each prime ideal is maximal and consists of zero-divisors; the complement of the union of all maximal ideals consists of units. www.imsc.ernet.in /~kapil/geometry/caag/finite.html   (2519 words)

The Connection Between Infinite Dimensional and Finite Dimensional Dynamical Systems: Proceedings of the Ams-Ims-Siam Joint Summer Research Conferen (Contemporary Mathematics) With the improved understanding of the exact connection between finite dimensional dynamical systems and various classes of dissipative PDEs, it is now realistic to hope that the wealth of studies of such topics as bifurcations of finite vector fields and ``strange'' fractal attractors can be brought to bear on various mathematical models, including continuum flows. More recently, it was shown that some of these PDEs possess a finite dimensional inertial manifold--that is, an invariant manifold containing the attractor and exponentially attractive trajectories. The last few years have seen a number of major developments demonstrating that the long-term behavior of solutions of a very large class of partial differential equations possesses a striking resemblance to the behavior of solutions of finite dimensional dynamical systems, or ordinary differential equations. www.literacyconnections.com /0_0821851055.html   (357 words)

What is operator theory? Finite vector spaces can always be made into inner product spaces, but in the infinite-dimensional situation, inner product spaces are very rare and special, hence making this a meaningful restriction. The first question that comes to mind is whether there is anything new happening in the infinite-dimensional case, as compared to the finite-dimensional case. For the moment, we suppose that these matrices are acting on infinite sequences that have only finitely many nonzero terms. erdos.math.unb.ca /~dan/whatsopth   (573 words)

List of Tables/Figures C for the two-dimensional finite element MCM model. EBM data vs. finite element analysis for path h/h' (Outside of the Via). EBM data vs. finite element analysis for path a/a' (Center of Via). www.ecs.umass.edu /mie/labs/mda/fea/ditomaso/Listof.htm   (468 words)

Finite Element Mesh Generation When the finite element problem is three-dimensional, coord_vector is a 1x3 matrix containing the [x, y, z] nodal coordinates. For two-dimensional finite element problems, coord_vector is a 1x2 matrix containing the [x, y] nodal coordinates. Aladdin's looping constructs are ideally suited for specification of the finite element nodes in a compact manner, and for the attachment of the two-node finite elements. www.isr.umd.edu /~austin/aladdin.d/fe-mesh.html   (1255 words)

Finite Fields Finite fields are the general starting point for the constructions of many combinatorial structures. When working with finite fields it is convenient to have both of the above representations, since the terms on the left are easy to multiply and the terms on the right are easy to add. Another place to look for finite fields is in any book on algebraic coding theory, since this theory builds on vector spaces over finite fields these books usually devote some time to them. www-math.cudenver.edu /~wcherowi/courses/finflds.html   (3085 words)

Chapter 3 A two dimensional finite element model of a slice of a MCM (slice parallel to z axis). Realistically, we would expect the results of the two dimensional plane stress model to bound the strains seen in the shell model, so that the predicted chip strain is an upper bound, and the predicted no chip strain is a lower bound of elastic strain magnitude. Considering the simplicity of the simple two dimensional model, the uncertainty in the other modeling assumptions, and the conservative nature of the model, the simple two dimensional model becomes the model of choice for creating conditions for the local via model. www.ecs.umass.edu /mie/labs/mda/fea/ditomaso/Chp3.htm   (3986 words)

Artin–Wedderburn theorem - Wikipedia, the free encyclopedia Every finite-dimensional central simple algebra over a finite field must be a matrix ring over that field. Every central simple algebra over C must be a matrix ring over C. This page was last modified 05:12, 6 November 2005. en.wikipedia.org /wiki/Artin-Wedderburn_theorem   (353 words)

Finite Dimensional = Rn Therefore t is all of s, and s is finite dimensional, and euclidean. Prove s is finite dimensional and apply the earlier theorem. Let s be a topological vector space and let t be a finite dimensional subspace. www.mathreference.com /top-ban,rn.html   (976 words)

Finite dimensional motives and the conjectures of Beilinson and Murre, by Vladimir Guletskii and Claudio Pedrini We relate the notion of finite dimensionality of the Chow motive M(X) of a smooth projective variety X (as defined by S. Kimura) with the conjectures of Beilinson, Bloch and Murre on the existence of a filtration on the Chow ring of X. We show (Th. Finite dimensional motives and the conjectures of Beilinson and Murre, by Vladimir Guletskii and Claudio Pedrini We also show (Th.27) that, for a surface X with p_g=0, the motive M(X) is finite dimensional if and only if Bloch's conjecture on Albanese kernel holds for X. 0617.bib (286 bytes) www.math.uiuc.edu /K-theory/0617   (144 words)

Finite Z-gradings of Lie algebras and symplectic involutions If L is a finite dimensional simple Lie algebra over a field F of complex or real numbers, the classification of Z-gradings which are necessarily finite in this case, is given in terms of partitions of fundamental root systems, a tool which is not available in the infinite dimensional case. The main aim of this paper is to describe finite Z-gradings of infinite dimensional simple Lie algebras. To give a generalization of this result for infinite dimensional algebras we extend the notion of symplectic involution to the infinite dimensional case, and prove that any grading of the Lie algebra K math.cofc.edu /smirnov/symplect.html   (432 words)

Finite Dimensional Semisimple Algebras We discuss some fields over which finite dimensional division algebras are known. Lemma 2..14 If F is an algebraically closed field then F is the only (up to an isomorphism) finite dimensional division algebras over F. Now, given a field F, tell me all finite dimensional division algebras over F, and I tell you all finite dimensional semisimple algebras over F. www.maths.warwick.ac.uk /~rumynin/rings2002/ln/node21.html   (225 words)

PlanetMath: Lie algebra representation irreducible, module, dimension, finite dimensional, finite-dimensional, infinite dimensional, infinite-dimensional, faithful, direct sum of representations planetmath.org /encyclopedia/RepresentationLieAlgebra.html   (131 words)

Mean Field Dynamical Exponents in Finite-Dimensional Ising Spin Glass (ResearchIndex) Abstract: We have studied numerically the remanent magnetization in the six and eight dimensional Ising spin glass and we have compared it with the behavior observed in the SK model, that we have also computed analytically. 0.6: Violation of the Fluctuation Dissipation Theorem in Finite.. We also report the value of the dynamical critical exponent z in six dimensions measured in three different ways: from the behavior of the energy and the susceptibility as a function of the Monte Carlo time and by studying the overlap-overlap correlation function as a function of... citeseer.ist.psu.edu /75181.html   (337 words)

Open Directory - Science: Technology: Software for Engineering: Finite Element Analysis Computer Aided analysis of structures using the Finite Element Method - Free FEA software developed by students of BIST which can be used for analysis of structures like beams, trusses and Plates. CAEFEM - A Windows-based finite element analysis system used to perform both linear and nonlinear structural and thermal analyses of design models and assemblies. This solves acoustic and vibration problems using the finite and boundary element methods. dmoz.org /Science/Technology/Software_for_Engineering/Finite_Element_Analysis   (1651 words)

tensor writes: > > Where can I find a counterexample for infinite dimensional spaces? writes: > Where can I find a counterexample for infinite dimensional spaces? It is always one-to-one, and the example shows that it is not onto unless one of the spaces has finite dimension. www.math.niu.edu /~rusin/known-math/00_incoming/tensor   (1480 words)

Vibration Suppression with Approximate Finite Dimensional Compensators for Distributed Systems: Computational Methods and Experimental Results - BANKS, SMITH, WANG (ResearchIndex) Abstract: Based on a distributed parameter model for vibrations, an approximate finite dimensional dynamic compensator is designed to suppress vibrations (multiple modes with a broad band of frequencies) of a circular plate with Kelvin-Voigt damping and clamped boundary conditions. H.T. WANG, Vibration suppression with approximate finite dimensional compensators for distributed systems: Computational methods and experimental results, in Proc. The control is realized via piezoceramic patches bonded to the plate and is calculated from information available from several pointwise observed state variables. citeseer.lcs.mit.edu /628790.html   (540 words)

MT5827 To be able to calculate in finite dimensional Lie algebras L over the complex numbers, work with representations of L and L-modules, find the matrix of an adjoint map associated with an element of L, find the Killing form of L. There are several reasons to study Lie algebras: Important applications to theoretical physics; used in the classification of finite simple groups; used in other group theory results such as the solution to the restricted Burnside problem; historical interest - many consider the classification by Killing in 1880 as the first real piece of modern algebra. Be able to work with star vectors and roots, and compute the Cartan matrix of an algebra given by a Dynkin diagram. www-maths.mcs.st-andrews.ac.uk /ug/hon5/MT5827.shtml   (211 words)

Try your search on: Qwika (all wikis)

About us   |   Why use us?   |   Reviews   |   Press   |   Contact us   Copyright © 2005-2007 www.factbites.com Usage implies agreement with terms.