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Longer titles found: Weil reciprocity law (view), Shimura's reciprocity law (view), Yamamoto's reciprocity law (view), Scholz's reciprocity law (view), Rational reciprocity law (view), Explicit reciprocity law (view)

searching for Reciprocity law 54 found (87 total)

alternate case: reciprocity law

Reciprocity (photography) (2,524 words) [view diff] exact match in snippet view article

material. Within a normal exposure range for film stock, for example, the reciprocity law states that the film response will be determined by the total exposure

Global field (1,045 words) [view diff] exact match in snippet view article find links to article

places, i.e. equivalent over every completion of the field. Artin's reciprocity law implies a description of the abelianization of the absolute Galois

Dedekind sum (1,001 words) [view diff] exact match in snippet view article find links to article

integer. Hans Rademacher found the following generalization of the reciprocity law for Dedekind sums: If a, b, and c are pairwise coprime positive integers

Cubic reciprocity (4,061 words) [view diff] no match in snippet view article find links to article

Cubic reciprocity is a collection of theorems in elementary and algebraic number theory that state conditions under which the congruence x3 ≡ p (mod q)

Latent image (2,026 words) [view diff] exact match in snippet view article find links to article

manipulations are used, for example, to enhance contrast of the emulsion. Reciprocity law failure is a phenomenon where the same amount of exposure (irradiance

Nikolai Chebotaryov (327 words) [view diff] exact match in snippet view article find links to article

Galois Theory. His ideas were used by Emil Artin to prove the Artin reciprocity law. He worked with his student Anatoly Dorodnov on a generalization of

Drinfeld reciprocity (134 words) [view diff] exact match in snippet view article find links to article

Kazhdan, David A. (1989), Geometric Ramanujan conjecture and Drinfeld reciprocity law, Number theory, trace formulas and discrete groups, Symp. in Honor

Kristina M. Johnson (1,263 words) [view diff] exact match in snippet view article find links to article

Retrieved 2011-01-03. Johnson, Kristina Mary (1984). Holographic reciprocity law failure, with applications to the 3-D display of medical data (Ph.D

Photographic hypersensitization (2,033 words) [view diff] exact match in snippet view article find links to article

"hypering" techniques have been developed to overcome this failure of the reciprocity law, and what follows refers mainly to work in astronomy. A developable

Shimura variety (1,692 words) [view diff] exact match in snippet view article find links to article

largely phenomenological, pursuing the widest generalizations of the reciprocity law formulation of complex multiplication theory. In retrospect, the name

Principalization (algebra) (9,028 words) [view diff] exact match in snippet view article

to group theory by Emil Artin in 1929, who made use of his general reciprocity law to establish the reformulation. Since this long desired proof was achieved

Shafarevich–Weil theorem (416 words) [view diff] exact match in snippet view article find links to article

class field theory gives a fundamental class in H2(Gal(K/F),IK) and a reciprocity law map from IK to Gal(L/K). The Shafarevich–Weil theorem states that the

Abstract algebra (4,185 words) [view diff] exact match in snippet view article find links to article

and proved the biquadratic reciprocity law. Jacobi and Eisenstein at around the same time proved a cubic reciprocity law for the Eisenstein integers

Timeline of class field theory (561 words) [view diff] exact match in snippet view article find links to article

reciprocity law. 1924 Artin introduces Artin L-functions. 1926 Nikolai Chebotaryov proves his density theorem. 1927 Artin proves his reciprocity law giving

Günther Frei (581 words) [view diff] exact match in snippet view article find links to article

the Hasse norm residue symbol and new approaches to both the Artin reciprocity law and class field theory. in Jeremy Gray, Karen Parshall (eds.): Episodes

Legendre symbol (2,394 words) [view diff] exact match in snippet view article find links to article

q be distinct odd primes. Using the Legendre symbol, the quadratic reciprocity law can be stated concisely: ( q p ) ( p q ) = ( − 1 ) p − 1 2 ⋅ q − 1

Catherine Cavagnaro (888 words) [view diff] case mismatch in snippet view article find links to article

Illinois Urbana-Champaign in 1995. Her doctoral dissertation, A Homotopy Reciprocity Law for Ribbon Disc Complements, concerned homotopy in low-dimensional

1796 in science (853 words) [view diff] exact match in snippet view article find links to article

heptadecagon. April 8 – He becomes the first to prove the quadratic reciprocity law, enabling determination of the solvability of any quadratic equation

Transfer (group theory) (786 words) [view diff] exact match in snippet view article

subgroup theorem, an important application of transfer By Artin's reciprocity law, the Artin transfer describes the principalization of ideal classes

Peter Gustav Lejeune Dirichlet (3,574 words) [view diff] exact match in snippet view article find links to article

number-theoretic research, publishing important contributions to the biquadratic reciprocity law which at the time was a focal point of Gauss's research. Alexander

Gaussian brackets (1,465 words) [view diff] exact match in snippet view article find links to article

invented by Gauss and was used in the third proof of the quadratic reciprocity law. The notation ⌊ x ⌋ {\displaystyle \lfloor x\rfloor } , denoting the

Kronecker symbol (1,722 words) [view diff] exact match in snippet view article find links to article

Kronecker symbol also satisfies the following versions of quadratic reciprocity law. For any nonzero integer n {\displaystyle n} , let n ′ {\displaystyle

Zahlbericht (582 words) [view diff] exact match in snippet view article find links to article

131), the Hilbert–Speiser theorem (theorem 132), and the Eisenstein reciprocity law for lth power residues (theorem 140) . Part 5 covers Kummer number

Tabular-grain film (465 words) [view diff] exact match in snippet view article find links to article

its advantage tends to be overemphasized. For example, excellent reciprocity law is not an inherent property of tabular crystals but rather the result

Dedekind zeta function (1,593 words) [view diff] exact match in snippet view article find links to article

certain Dirichlet L-function is an analytic formulation of the quadratic reciprocity law of Gauss. In general, if K is a Galois extension of Q with Galois group

Automorphic form (1,651 words) [view diff] exact match in snippet view article find links to article

finite invariants, mapping from the idele class group under the Artin reciprocity law. Herein, the analytical structure of its L-function allows for generalizations

Julian Sochocki (457 words) [view diff] case mismatch in snippet view article find links to article

Гаусса и о законе взаимности символа Лежандра (On Gauss Sums and the Reciprocity Law of the Legendre Symbol) (1877) Высшая алгебра (Higher Algebra) (St

Tomio Kubota (334 words) [view diff] exact match in snippet view article find links to article

solution of Kummer's conjecture. On automorphic functions and the reciprocity law in a number field. Kinokuniya, Tokyo 1969 Notes on analytic theory

Galois module (1,922 words) [view diff] exact match in snippet view article find links to article

Artin's study of these representations led him to formulate the Artin reciprocity law and conjecture what is now called the Artin conjecture concerning the

Quaternion algebra (1,532 words) [view diff] exact match in snippet view article find links to article

rationals ramifies is always even, and this is equivalent to the quadratic reciprocity law over the rationals. Moreover, the places where B ramifies determines

Adrien-Marie Legendre (1,804 words) [view diff] exact match in snippet view article find links to article

Dirichlet in 1828. In number theory, he conjectured the quadratic reciprocity law, subsequently proved by Gauss; in connection to this, the Legendre

Robert Bunsen (1,696 words) [view diff] exact match in snippet view article find links to article

hydrogen chloride (HCl) from hydrogen and chlorine. From this work, the reciprocity law of Bunsen and Roscoe originated. He discontinued his work with Roscoe

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

Springer, ISBN 3-540-66957-4 Rousseau, G. (1991), "On the Quadratic Reciprocity Law", Journal of the Australian Mathematical Society, Series A, 51, Cambridge

Science of photography (3,179 words) [view diff] exact match in snippet view article find links to article

the aperture limits the resolution due to the diffraction limit. The reciprocity law specifies the total exposure, but the response of a photographic material

Legendre's three-square theorem (734 words) [view diff] exact match in snippet view article find links to article

has become classical. It requires three main lemmas: the quadratic reciprocity law, Dirichlet's theorem on arithmetic progressions, and the equivalence

Pierre Colmez (746 words) [view diff] exact match in snippet view article find links to article

Chowla-Selberg formula. A proof of Perrin-Riou's conjectural explicit reciprocity law related to the functional equation of p {\displaystyle p} -adic L-functions

19th century in science (4,546 words) [view diff] exact match in snippet view article find links to article

proofs of the fundamental theorem of algebra and of the quadratic reciprocity law. His 1801 volume Disquisitiones Arithmeticae laid the foundations of

Helmut Koch (451 words) [view diff] exact match in snippet view article find links to article

English: Introduction to classical mathematics – from the quadratic reciprocity law to the uniformization theorem, Kluwer 1991 Galois theory of p-extensions

Quadratic Gauss sum (1,561 words) [view diff] exact match in snippet view article find links to article

0 and ac + b even. One has the following analogue of the quadratic reciprocity law for (even more general) Gauss sums ∑ n = 0 | c | − 1 e π i a n 2 +

Concealed carry in the United States (11,572 words) [view diff] exact match in snippet view article find links to article

carry 21 Puerto Rico From June 20, 2015, to October 31, 2016. Y Has reciprocity law, but does not recognize any other state permits 21 Rhode Island Y Y

Floor and ceiling functions (5,868 words) [view diff] exact match in snippet view article find links to article

{(m-1)n+x}{m}}\right\rfloor .\end{aligned}}} This is sometimes called a reciprocity law. Division by positive integers gives rise to an interesting and sometimes

Quadratic integer (2,684 words) [view diff] exact match in snippet view article find links to article

was introduced by Carl Gauss around 1800 to state his biquadratic reciprocity law. The elements in O Q ( − 3 ) = Z [ 1 + − 3 2 ] {\displaystyle {\mathcal

Wolfgang Cramer (2,459 words) [view diff] exact match in snippet view article find links to article

Reziprozitätsformel für Gaußsche Summen in reell quadratischen Zahlkörpern (The Reciprocity law for Gaussian Sums in real quadratic number fields) in 1931, directed

Algebraic number field (8,365 words) [view diff] exact match in snippet view article find links to article

general number fields, class field theory, specifically the Artin reciprocity law gives an answer by describing Gab in terms of the idele class group

History of mathematics (15,994 words) [view diff] exact match in snippet view article find links to article

proofs of the fundamental theorem of algebra and of the quadratic reciprocity law.[citation needed] This century saw the development of the two forms

Friedrich Graetz (2,029 words) [view diff] no match in snippet view article find links to article

barriers to trade. The lettering on the blocks includes "Fear", "Non Reciprocity", "Law Against Race" and "Congressional Blunders". Congress had passed the

Emmy Noether (14,689 words) [view diff] exact match in snippet view article find links to article

simpler than those of commutative algebra, by proving a noncommutative reciprocity law. This pleased her immensely. He also sent her a mathematical riddle

List of eponymous laws (10,480 words) [view diff] exact match in snippet view article find links to article

of the fluid that the body displaces. Named for Archimedes. Artin reciprocity law is a general theorem in number theory that forms a central part of

Siegel zero (3,925 words) [view diff] exact match in snippet view article find links to article

interpreted as an analytic formulation of quadratic reciprocity (see Artin reciprocity law §Statement in terms of L-functions). The precise relation between the

Hensel's lemma (9,047 words) [view diff] exact match in snippet view article find links to article

then it is a nonzero quadratic residue mod p. Note that the quadratic reciprocity law allows one to easily test whether a is a nonzero quadratic residue

History of mathematical notation (16,402 words) [view diff] exact match in snippet view article find links to article

proofs of the fundamental theorem of algebra and of the quadratic reciprocity law. Gauss developed the theory of solving linear systems by using Gaussian

Diffraction topography (7,619 words) [view diff] exact match in snippet view article find links to article

departure from the exact Bragg angle. The latter dependence follows a reciprocity law, meaning that dislocations images become narrower inversely as the

List of University of Pennsylvania people (51,422 words) [view diff] exact match in snippet view article find links to article

Scott Chair, professor of mathematics; known for his theory of the reciprocity law for Dedekind sums Jagmohan Raju: Joseph J. Aresty Professor of Marketing;

Political positions of Lisa Murkowski (17,336 words) [view diff] exact match in snippet view article find links to article

internet sales in April 2013. She has voted in favor of concealed carry reciprocity law enabling Americans to carry their concealed gun in any state. She also