Results 271 to 280 of about 9,860 (299)
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Quadratic Programming as an Extension of Classical Quadratic Maximization
Management Science, 1960The article describes a procedure to maximize a strictly concave quadratic function subject to linear constraints in the form of inequalities. First the unconstrained maximum is considered; when certain constraints are violated, maximization takes place subject to each of these in equational (rather than inequality) form.
H. Theil, C. Van De Panne
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Constrained 0–1 quadratic programming: Basic approaches and extensions
We describe the simplest technique to tackle 0-1 Quadratic Programs with linear constraints among those that turn out to be successful in practice. This method is due to and familiar to the Quadratic Assignment experts, even if it took some time to ...
Alberto Caprara
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Embeddability of quadratic extensions in cyclic extensions
Forum Mathematicum, 2007Summary: For an algebraic number field \(K\) we study the quadratic extensions of \(K\) which can be embedded in a cyclic extension of \(K\) of degree \(2^n\) for all natural numbers \(n\), as well as the quadratic extensions which can be embedded in an infinite normal extension with the additive group \(\mathbb Z_2=\lim_{\leftarrow}\mathbb Z/2^n ...
Geyer, W.-D., Jensen, Chr Ulrik
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An Extension Theorem for Quadratic forms
Results in Mathematics, 1987Mit Hilfe eines Fortsetzungssatzes, der sich auf quadratische Formen auf Unterräumen eines n-Vektorraumes mit \(4\leq n\leq \infty\) über kommutativem Körper bezieht, werden Aussagen über quadratische Mengen mindestens dreidimensionaler projektiver Räume bewiesen.
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A recurring theorem about pairs of quadratic forms and extensions: a survey
This is a historical and mathematical survey of work on necessary and sufficient conditions for a pair of quadratic forms to admit a positive definite linear combination and various extensions ...
Frank Uhlig
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Extension of a quadratic transformation due to Exton
Applied Mathematics and Computation, 2009By applying various known summation theorems to a general formula based upon Bailey's transform theorem due to Slater, Exton has obtained numerous new quadratic transformations involving hypergeometric functions of two and of higher order. Some of the results have typographical errors and have been corrected recently by Choi and Rathie.
Tibor K. Pogány, Arjun K. Rathie
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The fundamental unit in quadratic extensions of imaginary quadratic fields
Archiv Der Mathematik, 1980exaly +2 more sources
The Groups LS and Morphisms of Quadratic Extensions
Mathematical Notes, 2001Let \(U\) be a tubular neighborhood of a submanifold \(X\) of codimension \(q\) in the manifold \(Y\). There is a push-out square \(F\) defined by the diagram of fundamental groups of \(\partial U\), \(X\), \((Y \setminus X)\), and \(Y\). For this geometric situation one has associated Wall surgery obstruction groups \(LS_{n-q}(F)\).
Muranov, Yu. V., Repovš, D.
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1999
To complete this lab, you should be familiar with the construction of quotient rings of the ring of polynomials over a field F. You should also be familiar with irreducible polynomials over a field. This lab does not presume any other prior knowledge of field extensions. Doing Ring Lab 10 first would be helpful, but it is not necessary.
Allen C. Hibbard, Kenneth M. Levasseur
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To complete this lab, you should be familiar with the construction of quotient rings of the ring of polynomials over a field F. You should also be familiar with irreducible polynomials over a field. This lab does not presume any other prior knowledge of field extensions. Doing Ring Lab 10 first would be helpful, but it is not necessary.
Allen C. Hibbard, Kenneth M. Levasseur
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The bipartite quadratic assignment problem and extensions
European Journal of Operational Research, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abraham P. Punnen, Yang Wang 0098
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