Results 1 to 10 of about 5,854 (265)

Generation of Architectural Forms Through Linear Algebra

2014
Our efforts are aimed at applying a mathematical taxonomy or a geometrical model to significant classes of classical or modern architectural structures. Mathematical formulas are used to describe them, even though it is very clear that such formulas have not influenced the creativity of the designers.
CALIO', FRANCA, MARCHETTI, ELENA MARIA
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Mean Values of Algebraic Linear Forms

Proceedings of the London Mathematical Society, 1995
Let \(K/ \mathbb{Q}\) be a totally real extension of degree \(d\). Let \(\varphi\) be a \(p\)-adic algebraic linear form. For any nonzero \(\rho \in K\) we denote by \(H (\rho)\) the maximum absolute values of its conjugates, \(|\rho |_\varphi = |\varphi (\rho) |_p\) if \(p \neq \infty\) and \(|\varphi (\rho) |_p/H (\rho)\) for \(p = \infty\).
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Quadratic Forms and Linear Algebraic Groups

Oberwolfach Reports, 2007
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 ...
Detlev Hoffmann, Alexander Merkurjev, Jean-Pierre Tignol   +2 more
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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

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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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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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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