Results 301 to 310 of about 1,802,873 (349)
Testing Quantum Satisfiability. [PDF]
Montanaro A, Shao C, Verdon D, Verdon D.
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GBA Solver: a user-friendly web server for growth balance analysis. [PDF]
Ghaffarinasab S, Dourado H.
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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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Gauss bounds of quadratic extensions
The author gives a very simple proof for the known theorem: ``Let \(K={{\mathbb Q}}(\sqrt{m})\) be a quadratic number field with ring of integers \({\mathbb Z}_K={\mathbb Z}[\omega]\) and discriminant \(\Delta,\) where \(\omega= \sqrt{m}\) if \(m\equiv 2\) or \(3 \pmod{4}\), \(\omega={(1+\sqrt{m}) / 2}\) if \(m\equiv 1 \pmod{4}\), \(\Delta=4m\) if \(m ...
F. Lemmermeyer
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Quadratic Extensions of Skew Fields
Proceedings of the London Mathematical Society, 1961P. Cohn
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Inventiones Mathematicae
We show that for any quadratic extension of number fields $K/F$ K /
L. Alpoge +3 more
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We show that for any quadratic extension of number fields $K/F$ K /
L. Alpoge +3 more
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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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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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On quadratic forms over inseparable quadratic extensions
Archiv der Mathematik, 1994The author discusses quadratic forms under inseparable quadratic extensions \(K=k (\sqrt{d})\), where \(\text{char } k=2\). He proves the following theorem that is sharper than that conjectured by \textit{R. Baeza} [Math. Z. 135, 175-184 (1974; Zbl 0263.15015)], namely, if \(q\) is a non- singular anisotropic \(k\)-form of dimension \(4m\) or \(4m+2 ...
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, 2006
Suppose that ℰ is a totally real number field which is the composite of all of its subfields E that are relative quadratic extensions of a base field F. For each such E with a ring of integers 𝒪E, assume the truth of the 2‐primary part of the Birch–Tate ...
J. Sands, Lloyd D. Simons
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Suppose that ℰ is a totally real number field which is the composite of all of its subfields E that are relative quadratic extensions of a base field F. For each such E with a ring of integers 𝒪E, assume the truth of the 2‐primary part of the Birch–Tate ...
J. Sands, Lloyd D. Simons
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