Results 11 to 20 of about 2,347,014 (288)
Linking Geometry and Algebra in the School Mathematics Curriculum [PDF]
, 2010 This chapter focuses on the linking of geometry and algebra in the teaching and learning of mathematics - and how, through such linking, the mathematics curriculum might be strengthened. Through reviewing the case of the school mathematics curriculum in England, together with examples of how the power of geometry can bring contemporary mathematics to ...
Jones, Keith
core +3 more sources
Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
europepmc +2 more sources
Poisson algebras via model theory and differential-algebraic geometry [PDF]
, 2017 Brown and Gordon asked whether the Poisson Dixmier–Moeglin equivalence holds for any complex affine Poisson algebra, that is, whether the sets of Poisson rational ideals, Poisson primitive ideals, and Poisson locally closed ideals coincide.
Moosa, Rahim +8 more
core +1 more source
A short history of algebraic statistics [PDF]
, 2008 In algebraic statistics, computational techniques from algebraic geometry become tools to address statistical problems. This, in turn, may prompt research in algebraic geometry. The basic ideas at the core of algebraic statistics will be presented. In
Eva Riccomagno, Riccomagno, Eva
core +1 more source
, 2019 The present study is a part of design research in local instructional theory in a pre-algebraic lesson using the Realistic Mathematics Education (RME) approach.
R. Apsari +4 more
semanticscholar +1 more source
Shape theory and mathematical design of a general geometric kernel through regular stratified objects [PDF]
, 2000 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This dissertation focuses on the mathematical design of a unified shape kernel for geometric computing, with possible applications to computer aided design (
Gomes, Abel Joao Padrao
core +7 more sources
Enumerative Real Algebraic Geometry [PDF]
, 2002 This is a pre-published version harvested from ArXiv.org. The published version can be found at http://dimacs.rutgers.edu/Volumes/Vol60.htmlEnumerative Geometry is concerned with the number of solutions to a structured system of polynomial equations ...
Sottile, Frank
core +3 more sources
Algebraic geometry of Gaussian Bayesian networks [PDF]
Advances in Applied Mathematics, 2007 Conditional independence models in the Gaussian case are algebraic varieties in the cone of positive definite covariance matrices. We study these varieties in the case of Bayesian networks, with a view towards generalizing the recursive factorization ...
S. Sullivant
semanticscholar +1 more source
Monoidality of Franke's exotic model [PDF]
, 2011 We discuss the monoidal structure on Franke's algebraic model for the K_{(p)} -local stable homotopy category at odd primes and show that its Picard group is isomorphic to the ...
Roitzheim, C. +5 more
core +1 more source
Invariants and separating morphisms for algebraic group actions [PDF]
, 2014 The first part of this paper is a refinement of Winkelmann’s work on invariant rings and quotients of algebraic groups actions an affine varieties where we take a more geometric point of view.
Kraft, Hanspeter +5 more
core +1 more source