“LownersTheorem”的概念、定义、习题解题方法及翻译-数学辞典

单词	LownersTheorem
释义	Löwner’s theorem A real function $f$ on aninterval $I$ is matrix monotone if and only if it is realanalytic and has (complex) analytic continuations to the upperand lower half planes such that $\\Im(f)>0$ in the upper half plane. (Löwner 1934)
随便看	AFiniteIntegralDomainIsAField a finite integral domain is a field AFinitelyGeneratedGroupHasOnlyFinitelyManySubgroupsOfAGivenIndex A finitely generated group has only finitely many subgroups of a given index AFiniteRingIsCyclicIfAndOnlyItsOrderAndCharacteristicAreEqual a finite ring is cyclic if and only its order and characteristic are equal AFormalTypeTheory A. Formal type theory AFormulaForAmicablePairs a formula for amicable pairs A general statement of the encode-decode method AgohGiugaConjecture Agoh-Giuga conjecture AGroupEmbedsIntoItsProfiniteCompletionIfAndOnlyIfItIsResiduallyFinite a group embeds into its profinite completion if and only if it is residually finite AGroupOfEvenOrderContainsAnElementOfOrder2 a group of even order contains an element of order 2 AHarmonicFunctionOnAGraphWhichIsBoundedBelowAndNonconstant a harmonic function on a graph which is bounded below and nonconstant AhmesBirdfeedingRateMethod Ahmes’ bird-feeding rate method AKahlerManifoldIsSymplectic AkhmimWoodenTablet Akhmim Wooden Tablet Akhmim Wooden Tablet

数学辞典收录了18232条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。

Löwner’s theorem