non-Euclidean geometry - (mathematics) geometry based on axioms different from Euclid's; "non-Euclidean geometries discard or replace one or more of the Euclidean axioms" hyperbolic geometry - (mathematics) a non-Euclidean geometry in which the parallel axiom is replaced by the assumption that thr...
Euclid's axiom, Euclid's postulate math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement Euclid's first axiom - a straight line can be drawn between any two points Euclid's second axiom - any terminated straight lin...
Defined, an axiomatic system is a set of axioms used to derive theorems. What this means is that for every theorem in math, there exists an axiomatic system that contains all the axioms needed to prove that theorem. An axiom is a statement that is considered true and does not require a ...
axiom of choice Venn diagram Zorn’s lemma continuum hypothesis Cantor’s theorem (Show more) See all related content set theory, branch of mathematics that deals with the properties of well-defined collections of objects, which may or may not be of a mathematical nature, such as numbers ...
(2) axiom(公理): 没有经过证明, 但被当作不证自明的一个命题. 因此, 其真实性被视为是理所当然的, 且被当做演绎及推论其它(理论相关)事实的起点. 公理是人们在实践过程中发现的规律,无法给出科学理论上的严密证明而又被绝大多数人认可的结论。比如:过两个不重合的点有且仅有一条直线。
We actually find a necessary and sufficient new axiom to characterize those J*B–triples with a unitary element which are J*B–algebras in the sense of [1] or real JB*–triples in the sense of [4].doi:10.1002/mana.200310073Peralta, Antonio M...
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expression分类讨论classified discussion性质nature(不是很确定)奇函数odd function偶函数even function对称symmetric坐标原点origin单调性monotonicity(不是很确定)任意random周期性periodic有界性boundedness数学mathematics, maths(BrE), math(AmE)公理axiom定理theorem计算calculation运算operation证明prove假设hypothesis, hypotheses(...
By ZFC, the minimal set satisfying the requirements of the axiom of infinity, is the intersection of all inductive sets. In case that the axiom of infinity is expressed as ∃I (Ø ∈ I ∧ ∀x (x ∈ I ⇒ x ⋃ {x} ∈ I)) the intersection of all inductive sets (let's ca...
曲线统计图 curv e diagram 扇形统计图 pie diagram 数列是 sequence 极限是 limit 导数是 derivative 微分 是 differential 积分是 integral 常数 constant 级数 series 幂级数 power series 二重积分 d ouble integral数学 mathematics, maths(BrE), math(AmE)公理 axiom定理 theorem计算 calculation运算 operation证明...