“SolvableByRadicals”的概念、定义、习题解题方法及翻译-数学辞典

单词	SolvableByRadicals
释义	solvable by radicals Let $F$ be a field and $f(x)\\in F[x]$ . Then $f(x)$ is solvable by radicals if there exists a radical extension $K/F$ such that $f(x)$ factors into linears when considered as an element of $K[x]$ .
随便看	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 ProofThatTransitionFunctionsOfCotangentBundleAreValid proof that transition functions of cotangent bundle are valid ProofThatUniformlyContinuousIsProximityContinuous proof that uniformly continuous is proximity continuous proof that η⁢(1)=l⁢n2

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。

solvable by radicals