Axiomatic
volume
British pronunciation/ˌæksɪəmˈætɪk/
American pronunciation/ˌæksiəˈmætɪk/

"axiomatic" 的定义和意义

axiomatic
01

公理的

unquestionably true in a way that there is no need for proof
02

公理的

relating to a system or approach based on a set of fundamental principles or axioms from which all other mathematical statements and theorems are derived
03

公理的

containing aphorisms or maxims
example
例子
examples
Axiomatic approaches in geometry allow for the study of non-Euclidean geometries.
Axiomatic set theory establishes fundamental rules for defining and manipulating sets.
Axiomatic probability theory provides a formal foundation for analyzing random phenomena.
Axiomatic approaches in mathematics ensure consistency and rigor in mathematical reasoning.
In algebra, groups, rings, and fields are studied within the framework of axiomatic structures.
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