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Biomedical computer vision using computer algebra: Analysis of a case of rhinocerebral mucormycosis in a diabetic boy
(Springer Science + Business Media, 2010-01-01)
Computer algebra is applied to biomedical computer vision. Specifically certain biomedical images resulting from a case of rhinocerebral mucormysocis in a diabetic boy are analyzed using techniques in computational geometry ...
DiffAlg: a Differential Algebra Package
(Mathematical Science Publ, 2019-03-04)
In this article we present DiffAlg.m2, a differential algebra package for Macaulay2. It can perform the following operations: wedge products and exterior differentials of differential forms, contraction and Lie derivatives ...
Effective differential Nullstellensatz for ordinary DAE systems with constant coefficients
(Academic Press Inc Elsevier Science, 2014-10)
We give upper bounds for the differential Nullstellensatz in the case of ordinary systems of differential algebraic equations over any field of constants K of characteristic 0. Let x be a set of n differential variables, ...
Differentials for Lie algebras
(Springer, 2015-08)
We develop a theory of relative Kähler differentials for Lie algebras. The main result is that the functor of relative differentials is representable, and that the universal object which represents it behaves properly with ...
Extended Grassmann and Clifford algebras
(Birkhauser Verlag AgBaselSuíça, 2006)
Geometric and extensor algebras and the differential geometry of arbitrary manifolds
(World Scientific Publ Co Pte LtdSingaporeSingapura, 2007)
Algebraic and rational differential invariants
(Boletín de Matemáticas, 2012)
These notes start with an introduction to differential invariants. They continue with an algebraic treatment of the theory. The algebraic, differential algebraic and differential geometric tools that are necessary to the ...
Geometría diferencial de órbitas de estados en álgebras de operadoresDifferential geometry on state orbits in operator algebras
(Facultad de Ciencias Exactas y Naturales. Universidad de Buenos Aires, 1996)
DJKM ALGEBRAS I: THEIR UNIVERSAL CENTRAL EXTENSION
(AMER MATHEMATICAL SOC, 2011)
The purpose of this paper is to explicitly describe in terms of generators and relations the universal central extension of the infinite dimensional Lie algebra, g circle times C[t, t(-1), u vertical bar u(2) = (t(2) - ...