2005/10/23 | 域公理[Field Axioms]
类别(∑〖数学〗) | 评论(0) | 阅读(51) | 发表于 19:53

The field axioms are generally written in additive and multiplicative pairs.

NameAdditionMultiplication
Commutativitya+b==b+aab==ba
Associativity(a+b)+c==a+(b+c)(ab)c==a(bc)
Distributivitya(b+c)==ab+ac(a+b)c==ac+bc
Identitya+0==a==0+aa.1==a==1.a
Inversesa+(-a)==0==(-a)+aaa^(-1)==1==a^(-1)a if a!=0
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