field axioms什么意思

field 可做“场”、“域”、“字段”等解释，在数学、物理学中，一般是“场”的含义，如场论用“Field Theory”表达；电场译成electric field，磁场说成magnetic field；“域”是计算机用语。

axiom是“公理，原理”的意思。axioms是其复数形式。

field axioms可译成“场原理、场定理”。如“电场通量定理”说成“the Electric Field Flux Axioms”。

field axioms包含我们常说的交换律、结合率、分配率、同一律等等。

下面是一段关于field axioms 的英文解释。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.