“MonotoneClass”的概念、定义、习题解题方法及翻译-数学辞典

单词	MonotoneClass
释义	monotone class Monotone ClassFernando Sanz GÃÂ¡miz Definition. A collection $\\mathcal{M}$ of subsets of $\\Omega$ is a monotone classif it is closed under increasing and decreasing sequences of sets,i.e. 1. $A_{1}\\subseteq A_{2}\\subseteq A_{3},...\\in\\mathcal{M}\\Rightarrow\\bigcup A_{n}%\\in\\mathcal{M}$ 2. $A_{1}\\supseteq A_{2}\\supseteq A_{3},...\\in\\mathcal{M}\\Rightarrow\\bigcap A_{n}%\\in\\mathcal{M}$
随便看	WelldefinednessOfProductOfFinitelyGeneratedIdeals well-definedness of product of finitely generated ideals WellfoundedInduction well-founded induction WellfoundedInductionOnFormulas well-founded induction on formulas WellfoundednessAndAxiomOfFoundation well-foundedness and axiom of foundation WellfoundedRecursion well-founded recursion WellfoundedRelation well-founded relation WellOrderedSet well ordered set WellorderingPrincipleForNaturalNumbers well-ordering principle for natural numbers WellorderingPrincipleForNaturalNumbersProvenFromThePrincipleOfFiniteInduction well-ordering principle for natural numbers proven from the principle of finite induction WellorderingPrincipleImpliesAxiomOfChoice well-ordering principle implies axiom of choice WellQuasiOrdering well quasi ordering WeylAlgebra Weyl algebra WeylChamber

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。

monotone class