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Weighted Bisimulation in Linear Algebraic Form

2009
We study bisimulation and minimization for weighted automata, relying on a geometrical representation of the model, linear weighted automata ( lwa ). In a lwa , the state-space of the automaton is represented by a vector space, and the transitions and weighting maps by linear morphisms over this vector space.
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Linear Forms in Algebraic Points of Abelian Functions III

Proceedings of the London Mathematical Society, 1975
Let Ω be a Riemann matrix whose 2n columns are vectors of Cn. It is well-known (e.g. (10)) that the field of meromorphic functions on Cn with these vectors among their periods is of transcendence degree n over C. More precisely, this field can be written as C(A, B) where A = (A1, …, An) is a vector of algebraically independent functions of the ...
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Quadratic Forms and Linear Algebraic Groups

2006
Topics discussed at the Oberwolfach workshop Quadratic Forms and Linear Algebraic Groups, held in June 2006, included besides the algebraic theory of quadratic and Hermitian forms and their Witt groups several aspects of the theory of linear algebraic groups and homogeneous varieties where geometric methods have proved successful in recent years ...
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Integral forms of linear algebraic groups

Mathematical Notes, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quadratic Forms and Linear Algebraic Groups

2009
Topics discussed at the workshop Quadratic forms and linear algebraic groups included besides the algebraic theory of quadratic and Hermitian forms and their Witt groups several aspects of the theory of linear algebraic groups and homogeneous varieties, as well as some arithmetic aspects pertaining to the theory of quadratic forms over function fields ...
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An estimate for a linear form in algebraic numbers

Lithuanian Mathematical Journal, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quadratic Forms and Linear Algebraic Groups

2013
Topics discussed at the workshop “Quadratic Forms and Linear Algebraic Groups” included besides the algebraic theory of quadratic and Hermitian forms and their Witt groups several aspects of the theory of linear algebraic groups and homogeneous varieties, as well as some arithmetic aspects pertaining to the theory of quadratic forms over function ...
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On two Lie algebras of linear forms

International Journal of Theoretical Physics, 1976
Two Lie algebras defined on the Grassman algebra of exterior differential forms are shown to be isomorphic.
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Linear forms in the logarithms of algebraic numbers

Mathematika, 1966
In 1934 Gelfond [2] and Schneider [6] proved, independently, that the logarithm of an algebraic number to an algebraic base, other than 0 or 1, is either rational or transcendental and thereby solved the famous seventh problem of Hilbert. Among the many subsequent developments (cf.
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Reconstruction of Forms through Linear Algebra

2005
Lines and surfaces are boundary elements of objects and buildings. Linear Algebra is an elegant and syntetic way, not only for the description but also for the virtual reconstruction of shapes in arts, architecture, industrial design and in computer graphics.
MARCHETTI, ELENA MARIA, ROSSI, LUISA
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