Find link

language:

Find link is a tool written by Edward Betts.

searching for Quadratic field 36 found (113 total)

Field extension (3,323 words) [view diff] no match in snippet view article find links to article

In mathematics, particularly in algebra, a field extension is a pair of fields K ⊆ L {\displaystyle K\subseteq L} , such that the operations of K are those

Complex multiplication (2,071 words) [view diff] exact match in snippet view article find links to article

is a direct sum of one-dimensional modules. Consider an imaginary quadratic field K = Q ( − d ) , d ∈ Z , d > 0 {\textstyle K=\mathbb {Q} \left({\sqrt

4 Cygni (567 words) [view diff] exact match in snippet view article find links to article

varies by 0.02 magnitude over a period of 0.68674 days. The average quadratic field strength of the magnetic field is (254.7±57.2)×10−4 T. With an age

Upsilon Lupi (600 words) [view diff] exact match in snippet view article find links to article

the star's photosphere. A magnetic field has been detected with a quadratic field strength of (764.7±311.3)×10−4 T. The star is radiating 113 times the

HD 143699 (623 words) [view diff] exact match in snippet view article find links to article

It is a chemically peculiar magnetic B star, showing an averaged quadratic field strength of (167.2±140.4)×10−3 T. Helium-weak, it displays an underabundance

Chi Serpentis (831 words) [view diff] exact match in snippet view article find links to article

titanium, and magnesium on the surface of the star. The averaged quadratic field strength of the surface magnetic field is (859.1±712.3)×10−4 T. MAST:

Minimal polynomial (field theory) (1,451 words) [view diff] no match in snippet view article

In field theory, a branch of mathematics, the minimal polynomial of an element α of an extension field of a field is, roughly speaking, the polynomial

29 Cygni (956 words) [view diff] exact match in snippet view article find links to article

of 39 minutes. A magnetic field has been detected with an averaged quadratic field of (194.5±230.7)×10−4 T. The star has a moderate rate of rotation,

Glossary of astronomy (19,104 words) [view diff] exact match in snippet view article find links to article

when it is pointing toward Earth, making the object appear to pulse. quadratic field strength A method of computing the mean strength of a varying stellar

Zeta Circini (636 words) [view diff] exact match in snippet view article find links to article

of 0.26877 d−1 and an amplitude of 0.0046 magnitude. The averaged quadratic field strength of the star's longitudinal magnetic field is (1.06±0.46)×10−2 T

Beta Hydrae (957 words) [view diff] exact match in snippet view article find links to article

magnitude. It is a magnetic chemically-peculiar star with an average quadratic field strength of (−206±68)×10−4 T. The star is around 178 million years

Genus field (294 words) [view diff] exact match in snippet view article find links to article

definition was used by Leopoldt and Hasse. If K=Q(√m) (m squarefree) is a quadratic field of discriminant D, the genus field of K is a composite of quadratic

Jeffrey Lagarias (517 words) [view diff] exact match in snippet view article find links to article

Mathematics from MIT for his thesis "The 4-part of the class group of a quadratic field", in 1974. His advisor for both his masters and Ph.D. was Harold Stark

12 Lacertae (1,370 words) [view diff] exact match in snippet view article find links to article

years old. It has about 8.4 times the girth of the Sun. The averaged quadratic field strength of the surface magnetic field is (2,352.3±1,604.9)×10−4 T

Reflectron (2,546 words) [view diff] no match in snippet view article find links to article

potential in some other implementation of gridless reflectron (a so-called quadratic-field reflectron) is proportional to a square of a distance x to the mirror

Composition algebra (1,319 words) [view diff] exact match in snippet view article find links to article

commutative and associative. Composition algebras of dimension 2 are either quadratic field extensions of K or isomorphic to K ⊕ K. Composition algebras of dimension

Algebraic integer (1,496 words) [view diff] exact match in snippet view article find links to article

extension K = Q ( d ) {\displaystyle K=\mathbb {Q} ({\sqrt {d}}\,)} is a quadratic field of rational numbers. The ring of algebraic integers OK contains d {\displaystyle

21 (number) (1,428 words) [view diff] exact match in snippet view article

{\displaystyle 7} ; this sum represents the largest square-free integer over a quadratic field of class number two, where 163 is the largest such (Heegner) number

Golod–Shafarevich theorem (658 words) [view diff] exact match in snippet view article find links to article

equal to its Hilbert class field). Specifically, Let K be an imaginary quadratic field whose discriminant has at least 6 prime factors. Then the maximal unramified

Eta Lyrae (1,032 words) [view diff] exact match in snippet view article find links to article

temperature of 19,525 K. A magnetic field has been detected with an average quadratic field strength of (169.0±115.9)×10−4 T. The magnitude 8.58 star BD +38 3491

Artin's conjecture on primitive roots (1,245 words) [view diff] exact match in snippet view article find links to article

Riemann Hypothesis, for primes splitting in the relevant imaginary quadratic field. Krishnamurty proposed the question how often the period of the decimal

Locally compact field (823 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \mathbb {Q} _{5}({\sqrt {7}})/\mathbb {Q} _{5}} is a quadratic field extension. Complete field – algebraic structure that is complete relative

Ladislav Skula (264 words) [view diff] exact match in snippet view article find links to article

Ladislav (2011). "Reduction of matrices over orders of imaginary quadratic field". Linear Algebra and Its Applications. 435 (6). AMS: 1903–1919. doi:10

Hecke character (1,976 words) [view diff] exact match in snippet view article find links to article

over a number field F with complex multiplication by the imaginary quadratic field K, and suppose that K is contained in F. Then there is an algebraic

Proofs of quadratic reciprocity (4,009 words) [view diff] exact match in snippet view article find links to article

above formula shows that the sum itself is a generator of the unique quadratic field contained in L. Again, since the quadratic Gauss sum is an algebraic

Dorian M. Goldfeld (1,230 words) [view diff] exact match in snippet view article find links to article

proved an effective lower bound for the class number of an imaginary quadratic field assuming the existence of an elliptic curve whose L-function had a

Artin reciprocity (2,326 words) [view diff] exact match in snippet view article find links to article

the quadratic and Artin reciprocity laws is given by studying the quadratic field F = Q ( ℓ ∗ ) {\displaystyle F=\mathbb {Q} ({\sqrt {\ell ^{*}}})} and

Gan–Gross–Prasad conjecture (1,753 words) [view diff] exact match in snippet view article find links to article

)\neq 0{\text{ if and only if }}\eta =\eta _{\mathrm {GP} }.} For a quadratic field extension E / F {\displaystyle E/F} , let L E ( s , π 1 × π 2 ) :=

Geometrization conjecture (4,060 words) [view diff] exact match in snippet view article find links to article

eigenvalues of the automorphism of the torus generate an order of a real quadratic field, and the solv manifolds can be classified in terms of the units and

Clifford algebra (9,191 words) [view diff] exact match in snippet view article find links to article

K, then Cl(V, Q) ≃ K ⊕ K. Otherwise, Cl(V, Q) is isomorphic to the quadratic field extension K(√a) of K. For dim V = 2, if Q has diagonalization diag(a

Clifford algebra (9,191 words) [view diff] exact match in snippet view article find links to article

K, then Cl(V, Q) ≃ K ⊕ K. Otherwise, Cl(V, Q) is isomorphic to the quadratic field extension K(√a) of K. For dim V = 2, if Q has diagonalization diag(a

Low-energy electron microscopy (2,922 words) [view diff] exact match in snippet view article find links to article

plane. However, IBM recently developed a hybrid prism array/nested quadratic field design, focusing the electron beams both in and out of the plane of

Euclidean algorithm (15,349 words) [view diff] exact match in snippet view article find links to article

81. ISBN 978-0-486-42539-9. Zbl 1009.11001. Clark, D. A. (1994). "A quadratic field which is Euclidean but not norm-Euclidean". Manuscripta Mathematica

Glossary of commutative algebra (9,772 words) [view diff] exact match in snippet view article find links to article

Kleinian integer The Kleinian integers are the integers of the imaginary quadratic field of discriminant −7. Koszul complex The Koszul complex is a free resolution

Gauss composition law (4,127 words) [view diff] exact match in snippet view article find links to article

and a quadratic algebraic number α {\displaystyle \alpha } is the quadratic field containing α {\displaystyle \alpha } and is denoted by Q ( α ) {\displaystyle

Artin transfer (group theory) (28,815 words) [view diff] exact match in snippet view article

{Cl} _{3}(K))} is given by the 3 {\displaystyle 3} -class rank of the quadratic field K {\displaystyle K} . Secondly, the abelian type invariants of the