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Augustin-Louis Cauchy

Index Augustin-Louis Cauchy

Baron Augustin-Louis Cauchy FRS FRSE (21 August 178923 May 1857) was a French mathematician, engineer and physicist who made pioneering contributions to several branches of mathematics, including: mathematical analysis and continuum mechanics. [1]

276 relations: Abel–Ruffini theorem, Abelian integral, Aberration of light, Abstract algebra, Airy wave theory, Albert Girard, Antiderivative, Antiquarian science books, Argument principle, Asimov's Biographical Encyclopedia of Science and Technology, August 21, Augustin (name), Augustin-Jean Fresnel, Augustin-Louis Cauchy, École des ponts ParisTech, Évariste Galois, Balanced ternary, Barnaba Tortolini, Basel problem, Binet–Cauchy identity, Burnside's lemma, Calculus, Calculus of variations, Carl Anton Bjerknes, Carl Gustav Jacob Jacobi, Cauchy (crater), Cauchy (disambiguation), Cauchy boundary condition, Cauchy condensation test, Cauchy distribution, Cauchy formula for repeated integration, Cauchy horizon, Cauchy index, Cauchy matrix, Cauchy momentum equation, Cauchy number, Cauchy principal value, Cauchy problem, Cauchy product, Cauchy sequence, Cauchy stress tensor, Cauchy surface, Cauchy theorem, Cauchy's convergence test, Cauchy's equation, Cauchy's functional equation, Cauchy's integral formula, Cauchy's integral theorem, Cauchy's test, Cauchy's theorem (geometry), ..., Cauchy's theorem (group theory), Cauchy–Binet formula, Cauchy–Born rule, Cauchy–Euler operator, Cauchy–Hadamard theorem, Cauchy–Rassias stability, Cauchy–Riemann equations, Center of curvature, Central limit theorem, Characteristic equation (calculus), Charles Haros, Charles Hermite, Cherbourg-Octeville, Christian culture, Christianity and science, Claude-Louis Navier, Complex analysis, Complex number, Concours général, Continuous function, Continuum mechanics, Contributions of Leonhard Euler to mathematics, Corps of Bridges, Waters and Forests, Cours d'Analyse, Cross product, Curvature, Cyclometer, Dario Graffi, Darwin–Fowler method, Determinant, Differential calculus, Differential of a function, Dijon, Dirac delta function, Discrete geometry, Divergent series, Eigenvalues and eigenvectors, Elwin Bruno Christoffel, Euclidean vector, Euler characteristic, Farey sequence, Fermat polygonal number theorem, Final stellation of the icosahedron, Finite strain theory, Foundations of mathematics, Four-vertex theorem, François-Napoléon-Marie Moigno, Francesco Faà di Bruno, Franz Ernst Neumann, Fresnel equations, Fundamental theorem of algebra, Gabrio Piola, Generality of algebra, George Berkeley, Giovanni Carandino, Glasser's master theorem, God Created the Integers, Graph theory, Green's theorem, Grill (cryptology), Group (mathematics), Group theory, Guglielmo Libri Carucci dalla Sommaja, Henri Lebesgue, History of calculus, History of Grandi's series, History of group theory, History of mathematics, History of the function concept, Holomorphic function, Holonomy, Human Accomplishment, Hyperreal number, Implicit function theorem, Imre Lakatos, Indeterminate form, Index of physics articles (A), Inequality of arithmetic and geometric means, Infinitesimal, Integral test for convergence, Intermediate value theorem, Internal set theory, Irénée-Jules Bienaymé, Isaac Samuel Reggio, Jean-Robert Argand, Joaquim Gomes de Souza, Joseph-Louis Lagrange, Jules Jamin, Julian Sochocki, Karl Weierstrass, Kepler–Poinsot polyhedron, Klein's encyclopedia, Ky Fan inequality, Lagrange's theorem (group theory), Léon Lalanne, Legendre's three-square theorem, Leonhard Euler, Limit (mathematics), Limit of a function, Liouville's theorem (complex analysis), List of École Polytechnique alumni, List of École Polytechnique faculty, List of civil engineers, List of complex analysis topics, List of craters on the Moon: C–F, List of eponyms (A–K), List of examples of Stigler's law, List of Fellows of the Royal Society A, B, C, List of French inventions and discoveries, List of French scientists, List of geometers, List of group theory topics, List of incomplete proofs, List of lay Catholic scientists, List of mathematicians (C), List of misnamed theorems, List of numeral systems, List of people considered father or mother of a scientific field, List of people on the postage stamps of France, List of people with craters of the Moon named after them, List of real analysis topics, List of recipients of the Pour le Mérite for Sciences and Arts, List of scientific equations named after people, List of scientific laws named after people, List of the 72 names on the Eiffel Tower, List of things named after Augustin-Louis Cauchy, Louis François Antoine Arbogast, Louis François Cauchy, Louis Poinsot, Luminiferous aether, Mary Deconge, Masaki Kashiwara, Mathematical analysis, Mathematical logic, Mathematical manuscripts of Karl Marx, Matrix (mathematics), May 23, Mean value theorem, Meanings of minor planet names: 16001–17000, Mechanician, Men of Mathematics, Metric space, Microcontinuity, Mikhail Ostrogradsky, Mironenko reflecting function, Mohr's circle, Negligible function, Niels Henrik Abel, Nominalism, Non-standard analysis, Non-standard calculus, Number, Numerical digit, Numerical methods for ordinary differential equations, Numerical relativity, Ordinary differential equation, Paul Stäckel, Paul Wolfskehl, Peano existence theorem, Permutation, Permutation group, Peter Gustav Lejeune Dirichlet, Philip Kelland, Philipp Ludwig von Seidel, Philomatic society, Picard–Lindelöf theorem, Problem of Apollonius, Q-Pochhammer symbol, Real analysis, Real number, Regular polytope, Restricted sumset, Rigour, Role of Christianity in civilization, Romain Murenzi, Root test, Samuel Dickstein (mathematician), Scientific phenomena named after people, Sellmeier equation, Series (mathematics), Signed number representations, Signed-digit representation, Simon Antoine Jean L'Huilier, Simon Stevin, Sophie Germain, Spectral theorem, Splitting field, Stephen Joseph Perry, Stress (mechanics), Sturm's theorem, Sylow theorems, Symmetric group, Symmetry of second derivatives, Tangent, Taylor's theorem, The Analyst, Three-body problem, Timelike Infinity, Timeline of calculus and mathematical analysis, Timeline of classical mechanics, Timeline of mathematics, Topological space, Topology, Transfer principle, Treatise on analysis, Uniform convergence, Uniform polyhedron, University of Turin, Versine, Viktor Bunyakovsky, William Burnside, Yuktibhāṣā, Zeno's paradoxes, Zero to the power of zero, (ε, δ)-definition of limit, 1789, 1789 in France, 1789 in science, 1821 in science, 1824 in science, 1825 in science, 1846 in science, 1857, 1857 in France, 1857 in science, 19th century in science. Expand index (226 more) »

Abel–Ruffini theorem

In algebra, the Abel–Ruffini theorem (also known as Abel's impossibility theorem) states that there is no algebraic solution—that is, solution in radicals—to the general polynomial equations of degree five or higher with arbitrary coefficients.

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Abelian integral

In mathematics, an abelian integral, named after the Norwegian mathematician Niels Henrik Abel, is an integral in the complex plane of the form where R(x,w) is an arbitrary rational function of the two variables x and w, which are related by the equation where F(x,w) is an irreducible polynomial in w, whose coefficients \varphi_j(x), j.

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Aberration of light

The aberration of light (also referred to as astronomical aberration, stellar aberration, or velocity aberration) is an astronomical phenomenon which produces an apparent motion of celestial objects about their true positions, dependent on the velocity of the observer.

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Abstract algebra

In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures.

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Airy wave theory

In fluid dynamics, Airy wave theory (often referred to as linear wave theory) gives a linearised description of the propagation of gravity waves on the surface of a homogeneous fluid layer.

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Albert Girard

Albert Girard (1595 in Saint-Mihiel, France − 8 December 1632 in Leiden) was a French-born mathematician.

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Antiderivative

In calculus, an antiderivative, primitive function, primitive integral or indefinite integral of a function is a differentiable function whose derivative is equal to the original function.

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Antiquarian science books

Antiquarian science books are original historical works (e.g., books or technical papers) concerning science, mathematics and sometimes engineering.

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Argument principle

In complex analysis, the argument principle (or Cauchy's argument principle) relates the difference between the number of zeros and poles of a meromorphic function to a contour integral of the function's logarithmic derivative.

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Asimov's Biographical Encyclopedia of Science and Technology

Asimov's Biographical Encyclopedia of Science and Technology is a history of science by Isaac Asimov, written as the biographies of over 1500 scientists.

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August 21

No description.

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Augustin (name)

Augustin is a variant of Augustine used in several languages, and may refer to.

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Augustin-Jean Fresnel

Augustin-Jean Fresnel (10 May 178814 July 1827) was a French civil engineer and physicist whose research in optics led to the almost unanimous acceptance of the wave theory of light, excluding any remnant of Newton's corpuscular theory, from the late 1830s until the end of the 19th century.

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Augustin-Louis Cauchy

Baron Augustin-Louis Cauchy FRS FRSE (21 August 178923 May 1857) was a French mathematician, engineer and physicist who made pioneering contributions to several branches of mathematics, including: mathematical analysis and continuum mechanics.

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École des ponts ParisTech

École des Ponts ParisTech (originally called École nationale des ponts et chaussées or ENPC, also nicknamed Ponts) is a university-level institution of higher education and research in the field of science, engineering and technology.

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Évariste Galois

Évariste Galois (25 October 1811 – 31 May 1832) was a French mathematician.

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Balanced ternary

Balanced ternary is a non-standard positional numeral system (a balanced form), used in some early computers and useful in the solution of balance puzzles.

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Barnaba Tortolini

Barnaba Tortolini (19 November 1808 – 24 August 1874) was a 19th-century Italian priest and mathematician who played an early active role in advancing the scientific unification of the Italian states.

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Basel problem

The Basel problem is a problem in mathematical analysis with relevance to number theory, first posed by Pietro Mengoli in 1644 and solved by Leonhard Euler in 1734 and read on 5 December 1735 in ''The Saint Petersburg Academy of Sciences''.

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Binet–Cauchy identity

In algebra, the Binet–Cauchy identity, named after Jacques Philippe Marie Binet and Augustin-Louis Cauchy, states that \biggl(\sum_^n a_i c_i\biggr) \biggl(\sum_^n b_j d_j\biggr).

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Burnside's lemma

Burnside's lemma, sometimes also called Burnside's counting theorem, the Cauchy–Frobenius lemma or the orbit-counting theorem, is a result in group theory which is often useful in taking account of symmetry when counting mathematical objects.

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Calculus

Calculus (from Latin calculus, literally 'small pebble', used for counting and calculations, as on an abacus), is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.

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Calculus of variations

Calculus of variations is a field of mathematical analysis that uses variations, which are small changes in functions and functionals, to find maxima and minima of functionals: mappings from a set of functions to the real numbers.

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Carl Anton Bjerknes

Carl Anton Bjerknes (24 October 1825 – 20 March 1903) was a Norwegian mathematician and physicist.

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Carl Gustav Jacob Jacobi

Carl Gustav Jacob Jacobi (10 December 1804 – 18 February 1851) was a German mathematician, who made fundamental contributions to elliptic functions, dynamics, differential equations, and number theory.

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Cauchy (crater)

Cauchy is a small lunar impact crater on the eastern Mare Tranquillitatis.

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Cauchy (disambiguation)

Cauchy primarily refers to Augustin-Louis Cauchy (1789-1857), French mathematician.

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Cauchy boundary condition

In mathematics, a Cauchy boundary conditions augments an ordinary differential equation or a partial differential equation with conditions that the solution must satisfy on the boundary; ideally so to ensure that a unique solution exists.

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Cauchy condensation test

In mathematics, the Cauchy condensation test, named after Augustin-Louis Cauchy, is a standard convergence test for infinite series.

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Cauchy distribution

The Cauchy distribution, named after Augustin Cauchy, is a continuous probability distribution.

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Cauchy formula for repeated integration

The Cauchy formula for repeated integration, named after Augustin Louis Cauchy, allows one to compress n antidifferentiations of a function into a single integral (cf. Cauchy's formula).

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Cauchy horizon

In physics, a Cauchy horizon is a light-like boundary of the domain of validity of a Cauchy problem (a particular boundary value problem of the theory of partial differential equations).

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Cauchy index

In mathematical analysis, the Cauchy index is an integer associated to a real rational function over an interval.

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Cauchy matrix

In mathematics, a Cauchy matrix, named after Augustin Louis Cauchy, is an m×n matrix with elements aij in the form a_.

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Cauchy momentum equation

The Cauchy momentum equation is a vector partial differential equation put forth by Cauchy that describes the non-relativistic momentum transport in any continuum.

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Cauchy number

The Cauchy number (Ca) is a dimensionless number in continuum mechanics used in the study of compressible flows.

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Cauchy principal value

In mathematics, the Cauchy principal value, named after Augustin Louis Cauchy, is a method for assigning values to certain improper integrals which would otherwise be undefined.

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Cauchy problem

A Cauchy problem in mathematics asks for the solution of a partial differential equation that satisfies certain conditions that are given on a hypersurface in the domain.

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Cauchy product

In mathematics, more specifically in mathematical analysis, the Cauchy product is the discrete convolution of two infinite series.

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Cauchy sequence

In mathematics, a Cauchy sequence, named after Augustin-Louis Cauchy, is a sequence whose elements become arbitrarily close to each other as the sequence progresses.

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Cauchy stress tensor

In continuum mechanics, the Cauchy stress tensor \boldsymbol\sigma, true stress tensor, or simply called the stress tensor is a second order tensor named after Augustin-Louis Cauchy.

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Cauchy surface

Intuitively, a Cauchy surface is a plane in space-time which is like an instant of time; its significance is that giving the initial conditions on this plane determines the future (and the past) uniquely.

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Cauchy theorem

Several theorems are named after Augustin-Louis Cauchy.

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Cauchy's convergence test

The Cauchy convergence test is a method used to test infinite series for convergence.

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Cauchy's equation

Cauchy's equation is an empirical relationship between the refractive index and wavelength of light for a particular transparent material.

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Cauchy's functional equation

Cauchy's functional equation is the functional equation Solutions to this are called additive functions.

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Cauchy's integral formula

In mathematics, Cauchy's integral formula, named after Augustin-Louis Cauchy, is a central statement in complex analysis.

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Cauchy's integral theorem

In mathematics, the Cauchy integral theorem (also known as the Cauchy–Goursat theorem) in complex analysis, named after Augustin-Louis Cauchy (and Édouard Goursat), is an important statement about line integrals for holomorphic functions in the complex plane.

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Cauchy's test

Cauchy's test may refer to.

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Cauchy's theorem (geometry)

Cauchy's theorem is a theorem in geometry, named after Augustin Cauchy.

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Cauchy's theorem (group theory)

Cauchy's theorem is a theorem in the mathematics of group theory, named after Augustin Louis Cauchy.

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Cauchy–Binet formula

In linear algebra, the Cauchy–Binet formula, named after Augustin-Louis Cauchy and Jacques Philippe Marie Binet, is an identity for the determinant of the product of two rectangular matrices of transpose shapes (so that the product is well-defined and square).

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Cauchy–Born rule

The Cauchy–Born rule or Cauchy-Born approximation is a basic hypothesis used in the mathematical formulation of solid mechanics which relates the movement of atoms in a crystal to the overall deformation of the bulk solid.

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Cauchy–Euler operator

In mathematics a Cauchy–Euler operator is a differential operator of the form p(x)\cdot for a polynomial p.

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Cauchy–Hadamard theorem

In mathematics, the Cauchy–Hadamard theorem is a result in complex analysis named after the French mathematicians Augustin Louis Cauchy and Jacques Hadamard, describing the radius of convergence of a power series.

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Cauchy–Rassias stability

A classical problem of Stanislaw Ulam in the theory of functional equations is the following: When is it true that a function which approximately satisfies a functional equation E must be close to an exact solution of E? In 1941, Donald H. Hyers gave a partial affirmative answer to this question in the context of Banach spaces.

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Cauchy–Riemann equations

In the field of complex analysis in mathematics, the Cauchy–Riemann equations, named after Augustin Cauchy and Bernhard Riemann, consist of a system of two partial differential equations which, together with certain continuity and differentiability criteria, form a necessary and sufficient condition for a complex function to be complex differentiable, that is, holomorphic.

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Center of curvature

In geometry, the center of curvature of a curve is found at a point that is at a distance from the curve equal to the radius of curvature lying on the normal vector.

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Central limit theorem

In probability theory, the central limit theorem (CLT) establishes that, in some situations, when independent random variables are added, their properly normalized sum tends toward a normal distribution (informally a "bell curve") even if the original variables themselves are not normally distributed.

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Characteristic equation (calculus)

In mathematics, the characteristic equation (or auxiliary equation) is an algebraic equation of degree n upon which depends the solution of a given n\,th-order differential equation or difference equation.

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Charles Haros

Charles Haros was a geometer (mathematician) in the French Bureau du Cadastre at the end of the eighteenth century and the beginning of the nineteenth century.

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Charles Hermite

Prof Charles Hermite FRS FRSE MIAS (24 December 1822 – 14 January 1901) was a French mathematician who did research concerning number theory, quadratic forms, invariant theory, orthogonal polynomials, elliptic functions, and algebra.

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Cherbourg-Octeville

Cherbourg-Octeville is a city and former commune situated at the northern end of the Cotentin peninsula in the northwestern French department of Manche.

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Christian culture

Christian culture is the cultural practices common to Christianity.

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Christianity and science

Most sources of knowledge available to early Christians were connected to pagan world-views.

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Claude-Louis Navier

Claude-Louis Navier (born Claude Louis Marie Henri Navier;; 10 February 1785 – 21 August 1836), was a French engineer and physicist who specialized in mechanics.

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Complex analysis

Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers.

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Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

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Concours général

In France, the Concours Général is the most prestigious academic competition held every year between students of Première (11th grade) and Terminale (12th and final grade) in almost all subjects taught in both general, technological and professional high schools.

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Continuous function

In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.

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Continuum mechanics

Continuum mechanics is a branch of mechanics that deals with the analysis of the kinematics and the mechanical behavior of materials modeled as a continuous mass rather than as discrete particles.

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Contributions of Leonhard Euler to mathematics

The 18th-century Swiss mathematician Leonhard Euler (1707–1783) is among the most prolific and successful mathematicians in the history of the field.

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Corps of Bridges, Waters and Forests

The Corps des ponts, des eaux et des forêts (in english "Corps of Bridges, Waters and Forests") is a technical Grand Corps of the French State (grand corps de l'Etat).

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Cours d'Analyse

Cours d'Analyse de l’École Royale Polytechnique; I.re Partie.

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Cross product

In mathematics and vector algebra, the cross product or vector product (occasionally directed area product to emphasize the geometric significance) is a binary operation on two vectors in three-dimensional space \left(\mathbb^3\right) and is denoted by the symbol \times.

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Curvature

In mathematics, curvature is any of a number of loosely related concepts in different areas of geometry.

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Cyclometer

The cyclometer was a cryptologic device designed, "probably in 1934 or 1935," by Marian Rejewski of the Polish Cipher Bureau's German section (BS-4) to facilitate decryption of German Enigma ciphertext.

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Dario Graffi

Dario Graffi (10 January 1905 – 28 December 1990) was an influential Italian mathematical physicist, known for his researches on the electromagnetic field, particularly for a mathematical explanation of the Luxemburg effect,.

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Darwin–Fowler method

In statistical mechanics, the Darwin–Fowler method is used for deriving the distribution functions with mean probability.

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Determinant

In linear algebra, the determinant is a value that can be computed from the elements of a square matrix.

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Differential calculus

In mathematics, differential calculus is a subfield of calculus concerned with the study of the rates at which quantities change.

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Differential of a function

In calculus, the differential represents the principal part of the change in a function y.

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Dijon

Dijon is a city in eastern:France, capital of the Côte-d'Or département and of the Bourgogne-Franche-Comté region.

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Dirac delta function

In mathematics, the Dirac delta function (function) is a generalized function or distribution introduced by the physicist Paul Dirac.

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Discrete geometry

Discrete geometry and combinatorial geometry are branches of geometry that study combinatorial properties and constructive methods of discrete geometric objects.

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Divergent series

In mathematics, a divergent series is an infinite series that is not convergent, meaning that the infinite sequence of the partial sums of the series does not have a finite limit.

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Eigenvalues and eigenvectors

In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector that changes by only a scalar factor when that linear transformation is applied to it.

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Elwin Bruno Christoffel

Elwin Bruno Christoffel (November 10, 1829 – March 15, 1900) was a German mathematician and physicist.

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Euclidean vector

In mathematics, physics, and engineering, a Euclidean vector (sometimes called a geometric or spatial vector, or—as here—simply a vector) is a geometric object that has magnitude (or length) and direction.

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Euler characteristic

In mathematics, and more specifically in algebraic topology and polyhedral combinatorics, the Euler characteristic (or Euler number, or Euler–Poincaré characteristic) is a topological invariant, a number that describes a topological space's shape or structure regardless of the way it is bent.

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Farey sequence

In mathematics, the Farey sequence of order n is the sequence of completely reduced fractions between 0 and 1 which when in lowest terms have denominators less than or equal to n, arranged in order of increasing size.

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Fermat polygonal number theorem

In additive number theory, the Fermat polygonal number theorem states that every positive integer is a sum of at most -gonal numbers.

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Final stellation of the icosahedron

In geometry, the complete or final stellation of the icosahedron is the outermost stellation of the icosahedron, and is "complete" and "final" because it includes all of the cells in the icosahedron's stellation diagram.

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Finite strain theory

In continuum mechanics, the finite strain theory—also called large strain theory, or large deformation theory—deals with deformations in which strains and/or rotations are large enough to invalidate assumptions inherent in infinitesimal strain theory.

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Foundations of mathematics

Foundations of mathematics is the study of the philosophical and logical and/or algorithmic basis of mathematics, or, in a broader sense, the mathematical investigation of what underlies the philosophical theories concerning the nature of mathematics.

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Four-vertex theorem

The classical four-vertex theorem states that the curvature function of a simple, closed, smooth plane curve has at least four local extrema (specifically, at least two local maxima and at least two local minima).

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François-Napoléon-Marie Moigno

Abbé François-Napoléon-Marie Moigno (15 April 1804 – 14 July 1884) was a French Catholic priest and one time Jesuit, as well as a physicist and author.

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Francesco Faà di Bruno

The Blessed Francesco Faà di Bruno (29 March 1825 – 27 March 1888) was an Italian priest and advocate of the poor, a leading mathematician of his era and a noted religious musician.

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Franz Ernst Neumann

Franz Ernst Neumann (11 September 1798 – 23 May 1895) was a German mineralogist, physicist and mathematician.

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Fresnel equations

The Fresnel equations (or Fresnel coefficients) describe the reflection and transmission of light (or electromagnetic radiation in general) when incident on an interface between different optical media.

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Fundamental theorem of algebra

The fundamental theorem of algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root.

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Gabrio Piola

Gabrio Piola (15 July 1794 – 1850) was an Italian mathematician and physicist, Danilo Capecchi and Giuseppe C. Ruta.

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Generality of algebra

In the history of mathematics, the generality of algebra was a phrase used by Augustin-Louis Cauchy to describe a method of argument that was used in the 18th century by mathematicians such as Leonhard Euler and Joseph-Louis Lagrange,.

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George Berkeley

George Berkeley (12 March 168514 January 1753) — known as Bishop Berkeley (Bishop of Cloyne) — was an Irish philosopher whose primary achievement was the advancement of a theory he called "immaterialism" (later referred to as "subjective idealism" by others).

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Giovanni Carandino

Giovanni Carandino, also known as Ioannis Karandinos (Ιωάννης Καραντηνός), and sometimes as Jean Carantino or John Carandino, born in 1784 in Cephalonia and died in Napoli in 1834, was a Greek mathematician, founder of the Greek mathematics school and translator in Greek of the major French works on Analysis in the early 19th century.

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Glasser's master theorem

In integral calculus, Glasser's master theorem explains how a certain broad class of substitutions can simplify certain integrals over the whole interval from -\infty to +\infty.

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God Created the Integers

God Created the Integers: The Mathematical Breakthroughs That Changed History is an anthology, edited by Stephen Hawking, of "excerpts from thirty-one of the most important works in the history of mathematics." The title of the book is a reference to a quotation attributed to mathematician Leopold Kronecker, who once wrote that "God made the integers; all else is the work of man.".

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Graph theory

In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects.

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Green's theorem

In mathematics, Green's theorem gives the relationship between a line integral around a simple closed curve C and a double integral over the plane region D bounded by C. It is named after George Green, though its first proof is due to Bernhard Riemann and is the two-dimensional special case of the more general Kelvin–Stokes theorem.

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Grill (cryptology)

The grill method (metoda rusztu), in cryptology, was a method used chiefly early on, before the advent of the cyclometer, by the mathematician-cryptologists of the Polish Cipher Bureau (Biuro Szyfrów) in decrypting German Enigma machine ciphers.

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Group (mathematics)

In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.

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Group theory

In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.

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Guglielmo Libri Carucci dalla Sommaja

Guglielmo Libri Carucci dalla Sommaja (January 1, 1803 – September 28, 1869) was an Italian count and mathematician, who became known for his love and subsequent theft of ancient and precious manuscripts.

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Henri Lebesgue

Henri Léon Lebesgue (June 28, 1875 – July 26, 1941) was a French mathematician most famous for his theory of integration, which was a generalization of the 17th century concept of integration—summing the area between an axis and the curve of a function defined for that axis.

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History of calculus

Calculus, known in its early history as infinitesimal calculus, is a mathematical discipline focused on limits, functions, derivatives, integrals, and infinite series.

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History of Grandi's series

Guido Grandi (1671–1742) reportedly provided a simplistic account of the series in 1703.

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History of group theory

The history of group theory, a mathematical domain studying groups in their various forms, has evolved in various parallel threads.

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History of mathematics

The area of study known as the history of mathematics is primarily an investigation into the origin of discoveries in mathematics and, to a lesser extent, an investigation into the mathematical methods and notation of the past.

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History of the function concept

The mathematical concept of a function emerged in the 17th century in connection with the development of the calculus; for example, the slope \operatorname\!y/\operatorname\!x of a graph at a point was regarded as a function of the x-coordinate of the point.

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Holomorphic function

In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighborhood of every point in its domain.

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Holonomy

In differential geometry, the holonomy of a connection on a smooth manifold is a general geometrical consequence of the curvature of the connection measuring the extent to which parallel transport around closed loops fails to preserve the geometrical data being transported.

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Human Accomplishment

Human Accomplishment: The Pursuit of Excellence in the Arts and Sciences, 800 B.C. to 1950 is a 2003 book by Charles Murray, most widely known as the co-author of The Bell Curve (1994).

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Hyperreal number

The system of hyperreal numbers is a way of treating infinite and infinitesimal quantities.

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Implicit function theorem

In mathematics, more specifically in multivariable calculus, the implicit function theorem is a tool that allows relations to be converted to functions of several real variables.

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Imre Lakatos

Imre Lakatos (Lakatos Imre; November 9, 1922 – February 2, 1974) was a Hungarian philosopher of mathematics and science, known for his thesis of the fallibility of mathematics and its 'methodology of proofs and refutations' in its pre-axiomatic stages of development, and also for introducing the concept of the 'research programme' in his methodology of scientific research programmes.

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Indeterminate form

In calculus and other branches of mathematical analysis, limits involving an algebraic combination of functions in an independent variable may often be evaluated by replacing these functions by their limits; if the expression obtained after this substitution does not give enough information to determine the original limit, it is said to take on an indeterminate form.

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Index of physics articles (A)

The index of physics articles is split into multiple pages due to its size.

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Inequality of arithmetic and geometric means

In mathematics, the inequality of arithmetic and geometric means, or more briefly the AM–GM inequality, states that the arithmetic mean of a list of non-negative real numbers is greater than or equal to the geometric mean of the same list; and further, that the two means are equal if and only if every number in the list is the same.

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Infinitesimal

In mathematics, infinitesimals are things so small that there is no way to measure them.

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Integral test for convergence

In mathematics, the integral test for convergence is a method used to test infinite series of non-negative terms for convergence.

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Intermediate value theorem

In mathematical analysis, the intermediate value theorem states that if a continuous function, f, with an interval,, as its domain, takes values f(a) and f(b) at each end of the interval, then it also takes any value between f(a) and f(b) at some point within the interval.

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Internal set theory

Internal set theory (IST) is a mathematical theory of sets developed by Edward Nelson that provides an axiomatic basis for a portion of the non-standard analysis introduced by Abraham Robinson.

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Irénée-Jules Bienaymé

Irénée-Jules Bienaymé (28 August 1796 – 19 October 1878), was a French statistician.

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Isaac Samuel Reggio

Isaac Samuel Reggio (YaShaR) (Hebrew: יש"ר, יצחק שמואל רג'יו) (August 15, 1784, Gorizia – August 29, 1855, Gorizia) was an Austro-Italian scholar and rabbi.

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Jean-Robert Argand

Jean-Robert Argand (July 18, 1768 – August 13, 1822) was an amateur mathematician.

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Joaquim Gomes de Souza

Joaquim Gomes de Souza "Souzinha" (15 February 1829, in Itapecuru Mirim – 1 June 1864, in London) was a Brazilian mathematician who worked on numerical analysis and differential equations.

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Joseph-Louis Lagrange

Joseph-Louis Lagrange (or;; born Giuseppe Lodovico Lagrangia, Encyclopædia Britannica or Giuseppe Ludovico De la Grange Tournier, Turin, 25 January 1736 – Paris, 10 April 1813; also reported as Giuseppe Luigi Lagrange or Lagrangia) was an Italian Enlightenment Era mathematician and astronomer.

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Jules Jamin

Jules Célestin Jamin (31 May 1818, Termes, Ardennes – 12 February 1886) was a French physicist.

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Julian Sochocki

Julian Karol Sochocki (Юлиан Васильевич Сохоцкий; Julian Karol Sochocki; February 2, 1842 in Warsaw, Congress Poland, Russian Empire – December 14, 1927 in Leningrad, Soviet Union) was a Russian-Polish mathematician.

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Karl Weierstrass

Karl Theodor Wilhelm Weierstrass (Weierstraß; 31 October 1815 – 19 February 1897) was a German mathematician often cited as the "father of modern analysis".

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Kepler–Poinsot polyhedron

In geometry, a Kepler–Poinsot polyhedron is any of four regular star polyhedra.

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Klein's encyclopedia

Klein's encyclopedia is a German mathematical encyclopedia published in six volumes from 1898 to 1933.

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Ky Fan inequality

In mathematics, there are two different results that share the common name of the Ky Fan inequality.

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Lagrange's theorem (group theory)

Lagrange's theorem, in the mathematics of group theory, states that for any finite group G, the order (number of elements) of every subgroup H of G divides the order of G. The theorem is named after Joseph-Louis Lagrange.

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Léon Lalanne

Léon Louis Lalanne (real surname: Chrétien-Lalanne; 3 July 1811 – 12 March 1892) was a French engineer and politician.

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Legendre's three-square theorem

In mathematics, Legendre's three-square theorem states that a natural number can be represented as the sum of three squares of integers if and only if is not of the form n.

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Leonhard Euler

Leonhard Euler (Swiss Standard German:; German Standard German:; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, logician and engineer, who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology and analytic number theory.

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Limit (mathematics)

In mathematics, a limit is the value that a function (or sequence) "approaches" as the input (or index) "approaches" some value.

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Limit of a function

Although the function (sin x)/x is not defined at zero, as x becomes closer and closer to zero, (sin x)/x becomes arbitrarily close to 1.

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Liouville's theorem (complex analysis)

In complex analysis, Liouville's theorem, named after Joseph Liouville, states that every bounded entire function must be constant.

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List of École Polytechnique alumni

This is a list of notable people affiliated with the École Polytechnique.

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List of École Polytechnique faculty

This list of École Polytechnique faculty includes current and former professors of École Polytechnique, a French scientific higher education institution established during the French Revolution in 1794 in Paris and moved to Palaiseau in 1976.

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List of civil engineers

This list of civil engineers is a list of notable people who have been trained in or have practiced civil engineering.

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List of complex analysis topics

Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematics that investigates functions of complex numbers.

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List of craters on the Moon: C–F

The list of approved names in the Gazetteer of Planetary Nomenclature maintained by the International Astronomical Union includes the diameter of the crater and the person the crater is named for.

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List of eponyms (A–K)

An eponym is a person (real or fictitious) from whom something is said to take its name.

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List of examples of Stigler's law

Stigler's law concerns the supposed tendency of eponymous expressions for scientific discoveries to honor people other than their respective originators.

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List of Fellows of the Royal Society A, B, C

About 8,000 Fellows have been elected to the Royal Society of London since its inception in 1660.

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List of French inventions and discoveries

No description.

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List of French scientists

This is a list of notable French scientists.

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List of geometers

A geometer is a mathematician whose area of study is geometry.

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List of group theory topics

No description.

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List of incomplete proofs

This page lists notable examples of incomplete published mathematical proofs.

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List of lay Catholic scientists

Many Catholics have made significant contributions to the development of science and mathematics from the Middle Ages to today.

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List of mathematicians (C)

No description.

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List of misnamed theorems

This is a list of misnamed theorems in mathematics.

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List of numeral systems

This is a list of numeral systems, that is, writing systems for expressing numbers.

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List of people considered father or mother of a scientific field

The following is a list of people who are considered a "father" or "mother" (or "founding father" or "founding mother") of a scientific field.

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List of people on the postage stamps of France

This is a list of people on stamps of France.

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List of people with craters of the Moon named after them

The following is a list of people whose names were given to craters of the Moon. The list of approved names in the Gazetteer of Planetary Nomenclature maintained by the International Astronomical Union includes the person the crater is named for.

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List of real analysis topics

This is a list of articles that are considered real analysis topics.

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List of recipients of the Pour le Mérite for Sciences and Arts

This is a list of recipients of the Pour le Mérite for Sciences and Arts (Pour le Mérite für Wissenschaften und Künste), a German and formerly Prussian honor given since 1842 for achievement in the humanities, sciences, or arts.

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List of scientific equations named after people

This is a list of scientific equations named after people (eponymous equations).

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List of scientific laws named after people

This is a list of scientific laws named after people (eponymous laws).

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List of the 72 names on the Eiffel Tower

On the Eiffel Tower, seventy-two names of French scientists, engineers, and mathematicians are engraved in recognition of their contributions.

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List of things named after Augustin-Louis Cauchy

Many things are named after the 19th-century French mathematician Augustin-Louis Cauchy.

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Louis François Antoine Arbogast

Louis François Antoine Arbogast (4 October 1759 – 8 April 1803) was a French mathematician.

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Louis François Cauchy

Louis François Cauchy (27 May 1760 – 28 December 1848) was a senior French government official and the father of the mathematician Augustin-Louis Cauchy.

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Louis Poinsot

Louis Poinsot (3 January 1777 – 5 December 1859) was a French mathematician and physicist.

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Luminiferous aether

In the late 19th century, luminiferous aether or ether ("luminiferous", meaning "light-bearing"), was the postulated medium for the propagation of light.

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Mary Deconge

Mary Lovenia DeConge-Watson (born 1933) is an American mathematician and former nun in the Order of the Sisters of the Holy Family.

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Masaki Kashiwara

is a Japanese mathematician.

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Mathematical analysis

Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.

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Mathematical logic

Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics.

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Mathematical manuscripts of Karl Marx

The Mathematical manuscripts of Karl Marx consist mostly of Karl Marx's attempts to understand the foundations of infinitesimal calculus, from around 1873–1883.

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Matrix (mathematics)

In mathematics, a matrix (plural: matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

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May 23

No description.

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Mean value theorem

In mathematics, the mean value theorem states, roughly, that for a given planar arc between two endpoints, there is at least one point at which the tangent to the arc is parallel to the secant through its endpoints.

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Meanings of minor planet names: 16001–17000

No description.

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Mechanician

A mechanician is an engineer or a scientist working in the field of mechanics, or in a related or sub-field: engineering or computational mechanics, applied mechanics, geomechanics, biomechanics, and mechanics of materials.

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Men of Mathematics

Men of Mathematics: The Lives and Achievements of the Great Mathematicians from Zeno to Poincaré is a book on the history of mathematics published in 1937 by Scottish-born American mathematician and science fiction writer E. T. Bell (1883–1960).

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Metric space

In mathematics, a metric space is a set for which distances between all members of the set are defined.

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Microcontinuity

In non-standard analysis, a discipline within classical mathematics, microcontinuity (or S-continuity) of an internal function f at a point a is defined as follows: Here x runs through the domain of f. In formulas, this can be expressed as follows: For a function f defined on \mathbb, the definition can be expressed in terms of the halo as follows: f is microcontinuous at c\in\mathbb if and only if f(hal(c))\subset hal(f(c)), where the natural extension of f to the hyperreals is still denoted f. Alternatively, the property of microcontinuity at c can be expressed by stating that the composition \text\circ f is constant of the halo of c, where "st" is the standard part function.

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Mikhail Ostrogradsky

Mikhail Vasilyevich Ostrogradsky (transcribed also Ostrogradskiy, Ostrogradskiĭ) (Михаил Васильевич Остроградский, Михайло Васильович Остроградський, September 24, 1801 – January 1, 1862) was a Ukrainian mathematician, mechanician and physicist in the Russian Empire.

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Mironenko reflecting function

The reflecting function \,F(t,x) of a dynamical system connects the past state \,x(-t) of it with the future state \,x(t) of it by the formula \,x(-t).

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Mohr's circle

Mohr's circle, named after Christian Otto Mohr, is a two-dimensional graphical representation of the transformation law for the Cauchy stress tensor.

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Negligible function

In mathematics, a negligible function is a function \mu:\mathbb\to\mathbb such that for every positive integer c there exists an integer Nc such that for all x > Nc, Equivalently, we may also use the following definition.

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Niels Henrik Abel

Niels Henrik Abel (5 August 1802 – 6 April 1829) was a Norwegian mathematician who made pioneering contributions in a variety of fields.

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Nominalism

In metaphysics, nominalism is a philosophical view which denies the existence of universals and abstract objects, but affirms the existence of general or abstract terms and predicates.

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Non-standard analysis

The history of calculus is fraught with philosophical debates about the meaning and logical validity of fluxions or infinitesimal numbers.

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Non-standard calculus

In mathematics, non-standard calculus is the modern application of infinitesimals, in the sense of non-standard analysis, to differential and integral calculus.

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Number

A number is a mathematical object used to count, measure and also label.

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Numerical digit

A numerical digit is a single symbol (such as "2" or "5") used alone, or in combinations (such as "25"), to represent numbers (such as the number 25) according to some positional numeral systems.

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Numerical methods for ordinary differential equations

Numerical methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs).

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Numerical relativity

Numerical relativity is one of the branches of general relativity that uses numerical methods and algorithms to solve and analyze problems.

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Ordinary differential equation

In mathematics, an ordinary differential equation (ODE) is a differential equation containing one or more functions of one independent variable and its derivatives.

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Paul Stäckel

Paul Gustav Samuel Stäckel (20 August 1862, Berlin – 12 December 1919, Heidelberg) was a German mathematician, active in the areas of differential geometry, number theory, and non-Euclidean geometry.

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Paul Wolfskehl

Paul Friedrich Wolfskehl (30 June 1856 in Darmstadt – 13 September 1906 in Darmstadt), was a physician with an interest in mathematics.

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Peano existence theorem

In mathematics, specifically in the study of ordinary differential equations, the Peano existence theorem, Peano theorem or Cauchy–Peano theorem, named after Giuseppe Peano and Augustin-Louis Cauchy, is a fundamental theorem which guarantees the existence of solutions to certain initial value problems.

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Permutation

In mathematics, the notion of permutation relates to the act of arranging all the members of a set into some sequence or order, or if the set is already ordered, rearranging (reordering) its elements, a process called permuting.

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Permutation group

In mathematics, a permutation group is a group G whose elements are permutations of a given set M and whose group operation is the composition of permutations in G (which are thought of as bijective functions from the set M to itself).

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Peter Gustav Lejeune Dirichlet

Johann Peter Gustav Lejeune Dirichlet (13 February 1805 – 5 May 1859) was a German mathematician who made deep contributions to number theory (including creating the field of analytic number theory), and to the theory of Fourier series and other topics in mathematical analysis; he is credited with being one of the first mathematicians to give the modern formal definition of a function.

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Philip Kelland

Rev Prof Philip Kelland PRSE FRS (17 October 1808 – 8 May 1879) was an English mathematician.

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Philipp Ludwig von Seidel

Philipp Ludwig von Seidel (23 October 1821 in Zweibrücken, Germany – 13 August 1896 in Munich, German Empire) was a German mathematician.

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Philomatic society

A philomatic society is an association of persons who love sciences.

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Picard–Lindelöf theorem

In mathematics, in the study of differential equations, the Picard–Lindelöf theorem, Picard's existence theorem or Cauchy–Lipschitz theorem is an important theorem on existence and uniqueness of solutions to first-order equations with given initial conditions.

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Problem of Apollonius

In Euclidean plane geometry, Apollonius's problem is to construct circles that are tangent to three given circles in a plane (Figure 1).

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Q-Pochhammer symbol

In mathematics, in the area of combinatorics, a q-Pochhammer symbol, also called a q-shifted factorial, is a ''q''-analog of the Pochhammer symbol.

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Real analysis

In mathematics, real analysis is the branch of mathematical analysis that studies the behavior of real numbers, sequences and series of real numbers, and real-valued functions.

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Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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Regular polytope

In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry.

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Restricted sumset

In additive number theory and combinatorics, a restricted sumset has the form where A_1,\ldots,A_n are finite nonempty subsets of a field F and P(x_1,\ldots,x_n) is a polynomial over F. When P(x_1,\ldots,x_n).

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Rigour

Rigour (British English) or rigor (American English; see spelling differences) describes a condition of stiffness or strictness.

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Role of Christianity in civilization

The role of Christianity in civilization has been intricately intertwined with the history and formation of Western society.

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Romain Murenzi

Romain Murenzi (born February 1959) is a physicist and former Rwandan science minister.

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Root test

In mathematics, the root test is a criterion for the convergence (a convergence test) of an infinite series.

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Samuel Dickstein (mathematician)

Samuel Dickstein (May 12, 1851 – September 28, 1939) was a Polish mathematician of Jewish origin.

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Scientific phenomena named after people

This is a list of scientific phenomena and concepts named after people (eponymous phenomena).

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Sellmeier equation

The Sellmeier equation is an empirical relationship between refractive index and wavelength for a particular transparent medium.

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Series (mathematics)

In mathematics, a series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other, to a given starting quantity.

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Signed number representations

In computing, signed number representations are required to encode negative numbers in binary number systems.

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Signed-digit representation

In mathematical notation for numbers, signed-digit representation is a positional system with signed digits; the representation may not be unique.

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Simon Antoine Jean L'Huilier

Simon Antoine Jean L'Huilier (or L'Huillier) (24 April 1750 in Geneva – 28 March 1840 in Geneva) was a Swiss mathematician of French Hugenot descent.

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Simon Stevin

Simon Stevin (1548–1620), sometimes called Stevinus, was a Flemish mathematician, physicist and military engineer.

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Sophie Germain

Marie-Sophie Germain (1 April 1776 – 27 June 1831) was a French mathematician, physicist, and philosopher.

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Spectral theorem

In mathematics, particularly linear algebra and functional analysis, a spectral theorem is a result about when a linear operator or matrix can be diagonalized (that is, represented as a diagonal matrix in some basis).

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Splitting field

In abstract algebra, a splitting field of a polynomial with coefficients in a field is a smallest field extension of that field over which the polynomial splits or decomposes into linear factors.

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Stephen Joseph Perry

Stephen Joseph Perry SJ FRS (born in London, 26 August 1833; d. 27 December 1889) was an English Jesuit and astronomer, known as a participant in scientific expeditions.

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Stress (mechanics)

In continuum mechanics, stress is a physical quantity that expresses the internal forces that neighboring particles of a continuous material exert on each other, while strain is the measure of the deformation of the material.

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Sturm's theorem

In mathematics, the Sturm sequence of a univariate polynomial is a sequence of polynomials associated with and its derivative by a variant of Euclid's algorithm for polynomials.

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Sylow theorems

In mathematics, specifically in the field of finite group theory, the Sylow theorems are a collection of theorems named after the Norwegian mathematician Ludwig Sylow (1872) that give detailed information about the number of subgroups of fixed order that a given finite group contains.

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Symmetric group

In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions.

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Symmetry of second derivatives

In mathematics, the symmetry of second derivatives (also called the equality of mixed partials) refers to the possibility under certain conditions (see below) of interchanging the order of taking partial derivatives of a function of n variables.

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Tangent

In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that "just touches" the curve at that point.

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Taylor's theorem

In calculus, Taylor's theorem gives an approximation of a k-times differentiable function around a given point by a k-th order Taylor polynomial.

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The Analyst

The Analyst, subtitled "A DISCOURSE Addressed to an Infidel MATHEMATICIAN.

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Three-body problem

In physics and classical mechanics, the three-body problem is the problem of taking an initial set of data that specifies the positions, masses, and velocities of three bodies for some particular point in time and then determining the motions of the three bodies, in accordance with Newton's laws of motion and of universal gravitation, which are the laws of classical mechanics.

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Timelike Infinity

Timelike Infinity is a 1992 science fiction book by British author Stephen Baxter.

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Timeline of calculus and mathematical analysis

A timeline of calculus and mathematical analysis.

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Timeline of classical mechanics

Timeline of classical mechanics.

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Timeline of mathematics

This is a timeline of pure and applied mathematics history.

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Topological space

In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods.

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Topology

In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.

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Transfer principle

In model theory, a transfer principle states that all statements of some language that are true for some structure are true for another structure.

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Treatise on analysis

Treatise on analysis is a translation of the 9-volume work Éléments d'analyse on mathematical analysis by Jean Dieudonné, and is an expansion of his textbook Foundations of modern analysis.

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Uniform convergence

In the mathematical field of analysis, uniform convergence is a type of convergence of functions stronger than pointwise convergence.

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Uniform polyhedron

A uniform polyhedron is a polyhedron which has regular polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i.e. there is an isometry mapping any vertex onto any other).

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University of Turin

The University of Turin (Italian: Università degli Studi di Torino, or often abbreviated to UNITO) is a university in the city of Turin in the Piedmont region of north-western Italy.

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Versine

The versine or versed sine is a trigonometric function already appearing in some of the earliest trigonometric tables.

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Viktor Bunyakovsky

Viktor Yakovlevich Bunyakovsky (Ви́ктор Я́ковлевич Буняко́вский, Ві́ктор Я́кович Буняко́вський;, Bar, Podolia Governorate, Russian Empire –, St. Petersburg, Russian Empire) was a Russian mathematician, member and later vice president of the Petersburg Academy of Sciences.

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William Burnside

(William Snow Burnside was an Irish mathematician, often confused with the English mathematician.) William Burnside (2 July 1852 – 21 August 1927) was an English mathematician.

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Yuktibhāṣā

Yuktibhāṣā (യുക്തിഭാഷ; "Rationale in the Malayalam/Sanskrit language") also known as Gaṇitanyāyasaṅgraha ("Compendium of astronomical rationale"), is a major treatise on mathematics and astronomy, written by Indian astronomer Jyesthadeva of the Kerala school of mathematics in about AD 1530.

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Zeno's paradoxes

Zeno's paradoxes are a set of philosophical problems generally thought to have been devised by Greek philosopher Zeno of Elea (c. 490–430 BC) to support Parmenides' doctrine that contrary to the evidence of one's senses, the belief in plurality and change is mistaken, and in particular that motion is nothing but an illusion.

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Zero to the power of zero

Zero to the power of zero, denoted by 00, is a mathematical expression with no obvious value.

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(ε, δ)-definition of limit

In calculus, the (ε, δ)-definition of limit ("epsilon–delta definition of limit") is a formalization of the notion of limit.

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1789

No description.

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1789 in France

Events from the year 1789 in France.

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1789 in science

The year 1789 in science and technology involved some significant events.

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1821 in science

The year 1821 in science and technology involved some significant events, listed below.

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1824 in science

The year 1824 in science and technology involved some significant events, listed below.

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1825 in science

The year 1825 in science and technology involved some significant events, listed below.

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1846 in science

The year 1846 in science and technology involved some significant events, listed below.

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1857

No description.

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1857 in France

Events from the year 1857 in France.

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1857 in science

The year 1857 in science and technology involved some significant events, listed below.

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19th century in science

The 19th century in science saw the birth of science as a profession; the term scientist was coined in 1833 by William Whewell, which soon replaced the older term of (natural) philosopher.

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A. L. Cauchy, A. L. de Cauchy, Augustin Cauchy, Augustin Louis Baron Cauchy, Augustin Louis Cauchy, Augustin Louis, Baron Cauchy, Augustin louis cauchy, Augustin-Louis, Baron Cauchy, Augustine Louis Cauchy, Baron Augustin-Louis Cauchy, Cauchy, Cauchy, Augustin Louis.

References

[1] https://en.wikipedia.org/wiki/Augustin-Louis_Cauchy

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