CAUCHY-RIEMANN EQUATIONS

Meaning of CAUCHY-RIEMANN EQUATIONS in English

/koh"shee ree"mahn, koh shee"-/ , Math.

equations relating the partial derivatives of the real and imaginary parts of an analytic function of a complex variable, as f ( z ) = u ( x,y ) + iv ( x,y ), by du / dx = dv / dy and du / dy = - dv / dx.

[ named after A. L. CAUCHY and G. F. B. RIEMANN ]

Random House Webster's Unabridged English dictionary. Полный английский словарь Вебстер - Random House . 2012

CAUCHY-RIEMANN EQUATIONS — Условия Коши — Римана
Американский Англо-Русский словарь
RIEMANN — biographical name Georg Friedrich Bernhard 1826-1866 German mathematician, ~ian adjective
Толковый словарь английского языка - Merriam Webster
RIEMANN
Random House Webster's Unabridged English Dictionary
CAUCHY — /koh shee"/ , n. Augustin Louis /oh gyuu staonn" lwee"/ , 1789-1857, French mathematician.
Random House Webster's Unabridged English Dictionary
RIEMANN — n. Georg Friedrich Bernhard Riemann (1826-66), German mathematician, founder of non-Euclidean geometry
Толковый словарь английского языка - Редакция bed
RIEMANN — biographical name Georg Friedrich Bernhard 1826-1866 German mathematician • Rie·mann·ian rē-ˈmä-nē-ən adjective
Merriam-Webster's Collegiate English vocabulary
RIEMANN — Riemann BrE AmE ˈriː mən -mɑːn —German [ ˈʁiː man ]
Longman Pronunciation English Dictionary
RIEMANN — римановой, римановский Riemann surface sheet ≈ лист римановой поверхности Riemann zeta function ≈ матем. дзета-функция Римана - Riemann surface Риман
Большой Англо-Русский словарь
RIEMANN — римановой, римановский Riemann surface sheet ≈ лист римановой поверхности Riemann zeta function ≈ матем. дзета-функция Римана - Riemann surface Риман
Большой Англо-Русский словарь
EQUATIONS — Уравнения
Большой Англо-Русский словарь
CAUCHY — Коши
Большой Англо-Русский словарь
CAUCHY — Коши
Большой Англо-Русский словарь
EQUATIONS — Уравнение
Американский Англо-Русский словарь
RIEMANN — римановой, римановский Riemann surface sheet — лист римановой поверхности Riemann zeta function — матем. дзета-функция Римана - Riemann surface
Англо-Русский научно-технический словарь
RIEMANN — римановой, римановский Riemann surface sheet ≈ лист римановой поверхности Riemann zeta function ≈ матем. дзета-функция Римана - Riemann surface Риман
Новый большой Англо-Русский словарь
EQUATIONS — Уравнения
Новый большой Англо-Русский словарь
CAUCHY — Коши
Новый большой Англо-Русский словарь
RIEMANN — римановой, римановский Riemann surface sheet ≈ лист римановой поверхности Riemann zeta function ≈ матем. дзета-функция Римана - Riemann surface Риман
Новый большой Англо-Русский словарь
CAUCHY — Коши
Новый большой Англо-Русский словарь
CAUCHY SEQUENCE — noun Etymology: Augustin-Louis Cauchy died 1857 French mathematician Date: circa 1949 a sequence of elements in a metric space such …
Толковый словарь английского языка - Merriam Webster
SYSTEM OF EQUATIONS — or simultaneous equations In algebra, two or more equations to be solved together (i.e., the solution must satisfy all the …
Английский словарь Британика
RIEMANN, (GEORG FRIEDRICH) BERNHARD — born Sept. 17, 1826, Breselenz, Hanover died July 20, 1866, Selasca, Italy German mathematician. He studied at the Universities of …
Английский словарь Британика
CAUCHY, AUGUSTIN-LOUIS, BARON — born Aug. 21, 1789, Paris, France died May 23, 1857, Sceaux French mathematician, pioneer of analysis and group theory . …
Английский словарь Британика
RIEMANN SURFACE — noun Usage: usually capitalized R Etymology: after G.F.B. Riemann : a multilayered surface in the theory of complex functions on …
Webster's New International English Dictionary
RIEMANN INTEGRABLE — ¦rēˌmän-, -_mən- adjective Usage: usually capitalized R Etymology: after G.F.B. Riemann died 1866 German mathematician : capable of being integrated …
Webster's New International English Dictionary
CAUCHY SEQUENCE — ˈkōshē-, kōˈshē- noun Usage: usually capitalized C Etymology: after Augustin-Louis Cauchy died 1857 French mathematician : a sequence of elements …
Webster's New International English Dictionary
RIEMANN SURFACE — Math. a geometric representation of a function of a complex variable in which a multiple-valued function is depicted as a …
Random House Webster's Unabridged English Dictionary
RIEMANN-STIELTJES INTEGRAL — /ree"mahn steel"chiz, -meuhn/ , Math. the limit, as the norm of partitions of a given interval approaches zero, of the …
Random House Webster's Unabridged English Dictionary
RIEMANN SPHERE — Math. a sphere used for a stereographic projection. [ named after G. F. B. RIEMANN ]
Random House Webster's Unabridged English Dictionary
RIEMANN INTEGRAL — Math. integral (def. 8a). [ 1910-15; named after G. F. B. RIEMANN ]
Random House Webster's Unabridged English Dictionary
CAUCHY'S INEQUALITY — Math. See Schwarz inequality (def. 1). [ named after A. L. CAUCHY ]
Random House Webster's Unabridged English Dictionary
CAUCHY SEQUENCE — Math. See fundamental sequence . [ named after A. L. CAUCHY ]
Random House Webster's Unabridged English Dictionary
CAUCHY INTEGRAL THEOREM — Math. the theorem that the integral of an analytic function about a closed curve of finite length in a finite, …
Random House Webster's Unabridged English Dictionary
CAUCHY INTEGRAL FORMULA — Math. a theorem that gives an expression in terms of an integral for the value of an analytic function at …
Random House Webster's Unabridged English Dictionary
CAUCHY SEQUENCE — noun Etymology: Augustin-Louis Cauchy died 1857 French mathematician Date: circa 1949 : a sequence of elements in a metric space …
Merriam-Webster's Collegiate English vocabulary
CAUCHY SEQUENCE — [Cau.chy sequence] n [Augustin-Louis Cauchy d. 1857 Fr. mathematician] (ca. 1949): a sequence of elements in a metric space such …
Merriam-Webster English vocab
ANALYSIS — in physics and chemistry, determination of the physical properties or chemical composition of samples of matter or, particularly in modern …
Britannica English vocabulary
RIEMANN, BERNHARD — Additional reading Riemann's collected works (all in German), ed. by Heinrich Weber and Richard Dedekind, were published in one volume …
Britannica English vocabulary
RIEMANN, (KARL WILHELM JULIUS) HUGO — born July 18, 1849, near Sondershausen, Schwarzburg-Sondershausen died July 10, 1919, Leipzig German musicologist whose works on music harmony are …
Britannica English vocabulary
RIEMANN, (GEORG FRIEDRICH) BERNHARD — born Sept. 17, 1826, Breselenz, Hanover died July 20, 1866, Selasca, Italy German mathematician whose work widely influenced geometry and …
Britannica English vocabulary
RIEMANN ZETA FUNCTION — function useful in number theory for investigating properties of primes. Written as z(x), it was originally defined as the infinite …
Britannica English vocabulary
MAXWELL'S EQUATIONS — four equations that, together, form a complete description of the production and interrelation of electric and magnetic fields. The physicist …
Britannica English vocabulary
CAUCHY, AUGUSTIN-LOUIS, BARON — born Aug. 21, 1789, Paris, Fr. died May 23, 1857, Sceaux French mathematician who pioneered in analysis and the theory …
Britannica English vocabulary
SYSTEM OF EQUATIONS — or simultaneous equations In algebra, two or more equations to be solved together (i.e., the solution must satisfy all the …
Britannica Concise Encyclopedia
RIEMANN, GEORG FRIEDRICH BERNHARD — born Sept. 17, 1826, Breselenz, Hanover died July 20, 1866, Selasca, Italy German mathematician. He studied at the Universities of …
Britannica Concise Encyclopedia
RIEMANN, BERNHARD — born Sept. 17, 1826, Breselenz, Hanover died July 20, 1866, Selasca, Italy German mathematician. He studied at the Universities of …
Britannica Concise Encyclopedia
CAUCHY-SCHWARZ INEQUALITY — Any of several related inequalities developed by Augustin-Louis Cauchy and, later, Herman Schwarz (18431921). The inequalities arise from assigning a …
Britannica Concise Encyclopedia
CAUCHY, AUGUSTIN-LOUIS, BARON — born Aug. 21, 1789, Paris, France died May 23, 1857, Sceaux French mathematician, pioneer of analysis and group theory . …
Britannica Concise Encyclopedia
HILBERT SPACE — noun Etymology: David Hilbert Date: 1911 a vector space for which a scalar product is defined and in which every …
Толковый словарь английского языка - Merriam Webster
COMPLETE — I. adjective (~r; -est) Etymology: Middle English complet, from Latin completus, from past participle of complēre Date: 14th century 1. …
Толковый словарь английского языка - Merriam Webster
PÉTAIN, (HENRI-) PHILIPPE — born April 24, 1856, Cauchy-à-la-Tour, France died July 23, 1951, Île d'Yeu French general. He served in the French army …
Английский словарь Британика
LOUIS
Английский словарь Британика
INEQUALITY — In mathematics, a statement of an order relationship greater than, greater than or equal to, less than, or less than …
Английский словарь Британика
EQUATION — I Statement of equality between two expressions consisting of variables and/or numbers. In essence, equations are questions, and the development …
Английский словарь Британика
RIEMANNIAN — (ˈ)rē|mänēən, -man- adjective Usage: usually capitalized Etymology: G.F.B. Riemann died 1866 German mathematician + English -ian : relating to or …
Webster's New International English Dictionary
SCHWARZ INEQUALITY — Math. 1. Also called Cauchy's inequality . the theorem that the inner product of two vectors is less than or …
Random House Webster's Unabridged English Dictionary
THERMODYNAMICS — systematic study of the relationship between heat, work, temperature, and energy, now encompassing the general behaviour of physical systems in …
Britannica English vocabulary
SOLIDS MECHANICS — science concerned with the stressing, deformation, and failure of solid materials and structures. What, then, is a solid? Any material, …
Britannica English vocabulary
ORDINARY DIFFERENTIAL EQUATION — in mathematics, an equation relating a function f of one variable to its derivatives. (The adjective ordinary here refers to …
Britannica English vocabulary
NUMERICAL ANALYSIS — the general study of methods for solving complicated problems, using the basic operations of arithmetic (addition, subtraction, multiplication, and division). …
Britannica English vocabulary
NUMBER THEORY — branch of mathematics concerned with the integers, or whole numbers, and generalizations of the integers. Number theory grew out of …
Britannica English vocabulary
MECHANICS' INSTITUTE — a voluntary organization common in Britain and the United States between 1820 and 1860 for educating manual workers. Ideally such …
Britannica English vocabulary
GEOMETRY — branch of mathematics that deals with the properties of space and objects in space. It is one of the oldest …
Britannica English vocabulary
FLUID MECHANICS — the study of the effects of forces and energy on liquids and gases. Like other branches of classical mechanics, the …
Britannica English vocabulary

Random House Webster's Unabridged English Dictionary

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