converse of a theorem

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• Converse (logic) — In logic, the converse of a categorical or implicational statement is the result of reversing its two parts. For the implication P → Q, the converse is Q → P. For the categorical proposition All S is P, the converse is All P is S. In neither case …   Wikipedia

• Theorem — The Pythagorean theorem has at least 370 known proofs[1] In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and previously accepted statements …   Wikipedia

• Converse theorem — In the mathematical theory of automorphic forms, a converse theorem gives sufficient conditions for a Dirichlet series to be the Mellin transform of a modular form. More generally a converse theorem states that a representation of an algebraic… …   Wikipedia

• converse — I. noun Etymology: Middle English convers, from Anglo French converse, from converser Date: 15th century 1. archaic social interaction 2. conversation II. intransitive verb (conversed; conversing) …   New Collegiate Dictionary

• converse — converse1 verb kən və:s engage in conversation. noun kɒnvə:s archaic conversation. Derivatives converser noun Origin ME (in the sense live among, be familiar with ): from OFr. converser, from L. conversari keep company (with) , from con with +… …   English new terms dictionary

• converse — 1. v. & n. v.intr. (often foll. by with) engage in conversation (conversed with him about various subjects). n. archaic conversation. Derivatives: converser n. Etymology: ME f. OF converser f. L conversari keep company (with), frequent. of… …   Useful english dictionary

• Pythagorean theorem — See also: Pythagorean trigonometric identity The Pythagorean theorem: The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c) …   Wikipedia

• Thales' theorem — In geometry, Thales theorem (named after Thales of Miletus) states that if A, B and C are points on a circle where the line AC is a diameter of the circle, then the angle ABC is a right angle. Thales theorem is a special case of the inscribed… …   Wikipedia

• Desargues' theorem — Perspective triangles. Corresponding sides of the triangles, when extended, meet at points on a line called the axis of perspectivity. The lines which run through corresponding vertices on the triangles meet at a point called the center of… …   Wikipedia

• Morera's theorem — If the integral along every C is zero, then ƒ is holomorphic on D. In complex analysis, a branch of mathematics, Morera s theorem, named after Giacinto Morera, gives an important criterion for proving that a function is holomorphic. Morera s… …   Wikipedia

• Stinespring factorization theorem — In mathematics, Stinespring s dilation theorem, also called Stinespring s factorization theorem, is a result from operator theory that represents any completely positive map on a C* algebra as a composition of two completely positive maps each of …   Wikipedia