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

单词	QuadraticAlgebra
释义	quadratic algebra A non-associative algebra $A$ (with unity $1_{A}$ ) over a commutativering $R$ (with unity $1_{R}$ ) is called a quadratic algebra if $A$ admits a quadratic form $Q\\colon A\\to R$ such that 1. $Q(1_{A})=1_{R}$ , 2. the quadratic equation $x^{2}-b(1_{A},x)x+Q(x)1_{A}=0$ is satisfiedby all $x\\in A$ , where $b$ is the associated symmetric bilinear formgiven by $b(x,y):=Q(x+y)-Q(x)-Q(y)$ .
随便看	monoidal category MonoidBialgebra monoid bialgebra MonoidBialgebraIsAHopfAlgebraIfAndOnlyIfMonoidIsAGroup monoid bialgebra is a Hopf algebra if and only if monoid is a group Monomial monomial MonomialMatrix monomial matrix MonotoneClass monotone class MonotoneClassTheorem monotone class theorem MonotoneConvergenceTheorem monotone convergence theorem Monotonic monotonic MonotonicallyDecreasing monotonically decreasing MonotonicallyIncreasing monotonically increasing MonotonicallyNondecreasing monotonically nondecreasing MonotonicallyNonincreasing monotonically nonincreasing

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。

quadratic algebra