New Collegiate Dictionary. 2001.
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
Gauss-Lucas theorem — In complex analysis, the Gauss Lucas theorem gives a geometrical relation between the roots of a polynomial P and the roots of its derivative P . The set of roots of a real or complex polynomial is a set of points in the complex plane. The… … Wikipedia
