Rolle's theorem
noun Etymology: Michel Rolle died 1719 French mathematician Date: circa 1891 a theorem in mathematics: if a curve is continuous, crosses the x-axis at two points, and has a tangent at every point between the two intercepts, its tangent is parallel to the x-axis at some point between the intercepts

New Collegiate Dictionary. 2001.

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  • Rolle's theorem — In calculus, a branch of mathematics, Rolle s theorem essentially states that a differentiable function, which attains equal values at two points, must have a stationary point somewhere between them.tandard version of the theoremIf a real valued… …   Wikipedia

  • rolle's theorem — ˈrȯlz , ˈrōlz noun Usage: usually capitalized R Etymology: after Michel Rolle died 1719 French mathematician : a theorem in mathematics: if a curve is continuous, crosses the x axis at two points, and has a single tangent at every point between… …   Useful english dictionary

  • Rolle's theorem — /rohlz/, Math. the theorem that a differentiable function having equal values at the endpoints of an interval has a derivative equal to zero at some point in the interval. [1890 95; named after Michel Rolle (d. 1719), French mathematician] * * *… …   Universalium

  • Rolle'stheorem — Rolle s theorem (rôlz, rōlz) n. A theorem stating that if a curve is continuous, has two x intercepts, and has a tangent at every point between the intercepts, at least one of these tangents is parallel to the x axis.   [After MichelRolle (1652… …   Universalium

  • theorem — theorematic /thee euhr euh mat ik, thear euh /, adj. theorematically, adv. /thee euhr euhm, thear euhm/, n. 1. Math. a theoretical proposition, statement, or formula embodying something to be proved from other propositions or formulas. 2. a rule… …   Universalium

  • Theorem der endlos tippenden Affen — Durch zufälliges Tippen von unendlicher Dauer auf einer Schreibmaschine werden mit Sicherheit alle Texte Shakespeares oder diverser Nationalbibliotheken entstehen. Das Infinite Monkey Theorem (v. engl. infinite „unendlich“; monkey „Affe“; theorem …   Deutsch Wikipedia

  • Theorem — Der Ausdruck Theorem (von griechisch theorema ‚Angeschautes‘), auch Lehrsatz, ist mehrdeutig. Er bezeichnet allgemein einen Lehrsatz, eine Lehrmeinung oder den Bestandteil einer wissenschaftlichen Theorie; spezieller „die erklärten Sätze… …   Deutsch Wikipedia

  • Mean value theorem — For the theorem in harmonic function theory, see Harmonic function#Mean value property. Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables …   Wikipedia

  • Michel Rolle — (April 21, 1652 – November 8, 1719) was a French mathematician. He is best known for Rolle s theorem (1691), and he deserves to be known as the co inventor in Europe of Gaussian elimination (1690). Contents 1 Life 2 Work 3 Critique of… …   Wikipedia

  • Extreme value theorem — This article is about continuous functions in analysis. For statistical theorems about the largest observation in a sequence of random variables, see extreme value theory. A continuous function ƒ(x) on the closed interval [a,b] showing the… …   Wikipedia

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