“Ultranet”的概念、定义、习题解题方法及翻译-数学辞典

单词	Ultranet
释义	ultranet A net $(x_{a})_{a\\in A}$ on a set $X$ is said to be an ultranet or universal net if whenever $E\\subseteq X$ , $(x_{a})$ is either eventually in $E$ or eventually in $X\\smallsetminus E$ . : • It can be shown that every net has a universal subnet. • When $X$ is a locally compact topological space, a universal net in $X$ is either convergent or it “goes to ” (it eventually leaves every compact subset).
随便看	proof that products of connected spaces are connected proof that Spec⁡(R) is quasi-compact ProofThatsqrt2IsIrrational proof that sqrt(2) is irrational ProofThatSylvestersMatrixEqualsTheResultant proof that Sylvester’s matrix equals the resultant ProofThattaunIsTheNumberOfPositiveDivisorsOfN ProofThatTheCompositumOfAGaloisExtensionAndAnotherExtensionIsGalois proof that the compositum of a Galois extension and another extension is Galois ProofThatTheConvexHullOfSIsOpenIfSIsOpen proof that the convex hull of S is open if S is open ProofThatTheCyclotomicPolynomialIsIrreducible proof that the cyclotomic polynomial is irreducible ProofThatTheOuterLebesgueMeasureOfAnIntervalIsItsLength proof that the outer (Lebesgue) measure of an interval is its length ProofThatTheRationalsAreCountable proof that the rationals are countable ProofThatThereAreInfinitelyManyPrimesUsingTheMersennePrimes proof that there are infinitely many primes using the Mersenne primes ProofThatTheSetOfSumproductNumbersInBase10IsFinite proof that the set of sum-product numbers in base 10 is finite ProofThatTheSetOfSumproductNumbersInBase2IsFinite proof that the set of sum-product numbers in base 2 is finite ProofThatTheSumOfTheIteratedTotientFunctionIsAlwaysOdd proof that the sum of the iterated totient function is always odd

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。

ultranet