古詩詞大全網 - 漢語詞典 - field axioms什麽意思

field axioms什麽意思

field 可做“場”、“域”、“字段”等解釋,在數學、物理學中,壹般是“場”的含義,如場論用“Field Theory”表達;電場譯成electric field,磁場說成magnetic field;“域”是計算機用語。

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.