linear order - ترجمة إلى الروسية
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linear order - ترجمة إلى الروسية

ORDERING RELATION WHERE ALL ELEMENTS CAN BE COMPARED, EQUALITY MEANS IDENTITY; BINARY RELATION ON SOME SET, WHICH IS ANTISYMMETRIC, TRANSITIVE, AND TOTAL
Infinite descending chain; TotalOrderedSet; Total ordered set; Totally ordered set; Linear order; Total ordering relation; Total ordering; Linearly ordered set; Totally ordered; Linear ordering; Linearly ordered; Chain (order theory); Total (order theory); Toset; Linear (order); Infinite descending chains; Strict total order; Totally-ordered set; Finite chain; Strict linear order; Finite total order; Simple order; Simply ordered set; Complete total order; Chain (ordered set); Complete ordering; Complete order; Ascending chain; Loset; Chain (poset)

linear order         

математика

линейный порядок

linear ordering         

математика

линейное упорядочение

linearly ordered         

общая лексика

линейно упорядоченный

تعريف

totally ordered

ويكيبيديا

Total order

In mathematics, a total or linear order is a partial order in which any two elements are comparable. That is, a total order is a binary relation {\displaystyle \leq } on some set X {\displaystyle X} , which satisfies the following for all a , b {\displaystyle a,b} and c {\displaystyle c} in X {\displaystyle X} :

  1. a a {\displaystyle a\leq a} (reflexive).
  2. If a b {\displaystyle a\leq b} and b c {\displaystyle b\leq c} then a c {\displaystyle a\leq c} (transitive).
  3. If a b {\displaystyle a\leq b} and b a {\displaystyle b\leq a} then a = b {\displaystyle a=b} (antisymmetric).
  4. a b {\displaystyle a\leq b} or b a {\displaystyle b\leq a} (strongly connected, formerly called total).

Reflexivity (1.) already follows from connectedness (4.), but is required explicitly by many authors nevertheless, to indicate the kinship to partial orders. Total orders are sometimes also called simple, connex, or full orders.

A set equipped with a total order is a totally ordered set; the terms simply ordered set, linearly ordered set, and loset are also used. The term chain is sometimes defined as a synonym of totally ordered set, but refers generally to some sort of totally ordered subsets of a given partially ordered set.

An extension of a given partial order to a total order is called a linear extension of that partial order.

أمثلة من مجموعة نصية لـ٪ 1
1. That recommendation, which made Olmert happy, has still not convinced Lador. (Mazuz, who is not involved in that case, will hear what Lador has decided a mere hour before the decision is made public.) This was a relatively rapid investigation – four and a half months, all told – and it did not progress in linear order.
What is the الروسية for linear order? Translation of &#39linear order&#39 to الروسية