axiom是“公理,原理”的意思。axioms是其復數形式。
field axioms可譯成“場原理、場定理”。如“電場通量定理”說成“the Electric Field Flux Axioms”。
field axioms包含我們常說的交換律、結合率、分配率、同壹律等等。
下面是壹段關於field axioms 的英文解釋。The Field Axioms prescribe the theory of fields which is a first-order theory. First-order theories don't need an axiom for closure although one is often shown. An axiom for closure for groups is not needed either, although one is almost always shown. The reason for one not being needed is that all first-order theories are modelled by mathematical structures. The structures modelling the Field Axioms are the fields under operations of addition and multiplication. A structure is closed in any case.