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单词 QuadraticFunctionAssociatedWithALinearFunctional
释义

quadratic function associated with a linear functional


Let V be a real hilbert spaceMathworldPlanetmath (and thus an inner product spaceMathworldPlanetmath), andlet f be a continuousPlanetmathPlanetmath linear functionalMathworldPlanetmathPlanetmath on V. Then f has an associated quadratic function φ:Vgiven by

φ(v)=12v2-f(v)
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更新时间:2025/5/4 12:47:55