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Bounded variation

In mathematical analysis, a function of bounded variation, also known as BV function, is a real-valued function whose total variation is bounded (finite): the graph of a function having this property is well behaved in a precise sense. For a continuous function of a single variable, being of bounded variation means that the distance along the direction…

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Bounded variation

Nodes183
Edges182
Triples111
Avg. degree1.99
Density0.010929
Components1

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Bounded variation

Top relations

related to history · 34
Bounded variation → According, After, Aizik Isaakovich Vol'pert, Ambrosio, Boris Golubov, BV, BV-functions, Caccioppoli, Camille Jordan, Cauchy, Cesari, Conway, Course, Dal Maso, Edward, Ennio De Giorgi, Fourier, Gianni Dal Maso, His, Hudjaev
related to Theory · 16
Bounded variation → Anatolii, Boris, BV, EMS Press, Encyclopedia, Eric, Function, Golubov, Mathematics, MathWorld, PlanetMath, Rowland, Todd, Variation, Vitushkin, Weisstein
related to SBV functions · 10
Bounded variation → Ambrosio, BV, De Giorgi, Definition, Ennio De Giorgi, Given, Luigi Ambrosio, Omega, SBV, Special
related to Notation · 9
Bounded variation → BV, Giaquinta, Giusti, Hudjaev, Modica, Omega, Souček, There, Vol'pert
related to Physics and engineering · 8
Bounded variation → Also, BV, Hudjaev, Shah, The, The Mumford, Total, Vol'pert
related to BV functions of several variables · 7
Bounded variation → BV, Definition, Functions, Let, More, Omega, Radon
related to BV sequences · 7
Bounded variation → As, Banach, BV, Chapter IV, Dunford, Schwartz, The
related to Basic properties · 6
Bounded variation → Giusti, Hudjaev, Màlek, Only, References, Vol'pert
related to Measures of bounded variation · 6
Bounded variation → Fomin, Halmos, Kolmogorov, Sigma, Total, Vert
related to Examples · 3
Bounded variation → As, BV, For

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Important terminology

variation function displaystyle functions bv bounded omega space continuous mathbb measure interval operatorname subset definition finite following set total several

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SubjectPredicateObjectConfidenceSrc
Bounded variationrelated to Basic propertiesOnly0.60section
Bounded variationrelated to Basic propertiesReferences0.60section
Bounded variationrelated to Basic propertiesGiusti0.60section
Bounded variationrelated to Basic propertiesHudjaev0.60section
Bounded variationrelated to Basic propertiesVol'pert0.60section
Bounded variationrelated to Basic propertiesMàlek0.60section
Bounded variationrelated to BV functions of several variablesFunctions0.60section
Bounded variationrelated to BV functions of several variablesBV0.60section
Bounded variationrelated to BV functions of several variablesRadon0.60section
Bounded variationrelated to BV functions of several variablesMore0.60section
Bounded variationrelated to BV functions of several variablesDefinition0.60section
Bounded variationrelated to BV functions of several variablesLet0.60section

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