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Meaning of "linear ordering" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF LINEAR ORDERING

linear ordering  [ˈlɪnɪə ˈɔːdərɪŋ] play
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GRAMMATICAL CATEGORY OF LINEAR ORDERING

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Linear ordering is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES LINEAR ORDERING MEAN IN ENGLISH?

Total order

In mathematics, a linear order, total order, simple order, or ordering is a binary relation on some set X which is transitive, antisymmetric, and total. A set paired with a total order is called a totally ordered set, a linearly ordered set, a simply ordered set, or a chain. If X is totally ordered under ≤, then the following statements hold for all a, b and c in X: if ab and ba then a = b; if ab and bc then ac; either ab or ba. Antisymmetry eliminates uncertain cases when both a precedes b and b precedes a. A relation having the property of "totality" means that any pair of elements in the set of the relation are comparable under the relation. This also means that the set can be diagrammed as a line of elements, giving it the name linear. Totality also implies reflexivity, i.e., aa. Therefore, a total order is also a partial order.

Definition of linear ordering in the English dictionary

The definition of linear ordering in the dictionary is an ordering that is reflexive, antisymmetric, transitive, and connected, as less than or equal to on the involved integers.

WORDS THAT RHYME WITH LINEAR ORDERING


bewildering
bɪˈwɪldərɪŋ
bouldering
ˈbəʊldərɪŋ
considering
kənˈsɪdərɪŋ
doddering
ˈdɒdərɪŋ
gerrymandering
ˌdʒɛrɪˈmændərɪŋ
hindering
ˈhɪndərɪŋ
laundering
ˈlɔːndərɪŋ
meandering
mɪˈændərɪŋ
ordering
ˈɔːdərɪŋ
philandering
fɪˈlændərɪŋ
powdering
ˈpaʊdərɪŋ
rendering
ˈrɛndərɪŋ
shuddering
ˈʃʌdərɪŋ
smoldering
ˈsməʊldərɪŋ
smouldering
ˈsməʊldərɪŋ
tendering
ˈtɛndərɪŋ
thundering
ˈθʌndərɪŋ
wandering
ˈwɒndərɪŋ
well-ordering
ˌwɛlˈɔːdərɪŋ
wondering
ˈwʌndərɪŋ

WORDS THAT BEGIN LIKE LINEAR ORDERING

lineally
lineament
linear
Linear A
linear accelerator
Linear B
linear collider
linear equation
linear measure
linear motor
linear perspective
linear programming
linear space
linearisation
linearity
linearization
linearize
linearly
lineate
lineated

WORDS THAT END LIKE LINEAR ORDERING

bring
catering
civil engineering
covering
electrical engineering
empowering
engineering
fingering
flattering
flowering
gathering
hovering
lettering
lowering
mechanical engineering
offering
pioneering
recovering
steering
suffering
watering

Synonyms and antonyms of linear ordering in the English dictionary of synonyms

SYNONYMS

Translation of «linear ordering» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF LINEAR ORDERING

Find out the translation of linear ordering to 25 languages with our English multilingual translator.
The translations of linear ordering from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «linear ordering» in English.

Translator English - Chinese

线性排序
1,325 millions of speakers

Translator English - Spanish

ordenación lineal
570 millions of speakers

English

linear ordering
510 millions of speakers

Translator English - Hindi

रैखिक आदेश
380 millions of speakers
ar

Translator English - Arabic

الطلب الخطي
280 millions of speakers

Translator English - Russian

линейный порядок
278 millions of speakers

Translator English - Portuguese

ordenação linear
270 millions of speakers

Translator English - Bengali

রৈখিক ক্রম
260 millions of speakers

Translator English - French

commande linéaire
220 millions of speakers

Translator English - Malay

Pesanan linear
190 millions of speakers

Translator English - German

lineare Ordnung
180 millions of speakers

Translator English - Japanese

線形順序
130 millions of speakers

Translator English - Korean

선형 순서
85 millions of speakers

Translator English - Javanese

Linear urutan
85 millions of speakers
vi

Translator English - Vietnamese

đặt hàng tuyến tính
80 millions of speakers

Translator English - Tamil

நேரியல் வரிசைப்படுத்தல்
75 millions of speakers

Translator English - Marathi

रेखीय क्रमवारी
75 millions of speakers

Translator English - Turkish

Doğrusal sıralama
70 millions of speakers

Translator English - Italian

ordinamento lineare
65 millions of speakers

Translator English - Polish

liniowe zamawiania
50 millions of speakers

Translator English - Ukrainian

лінійний порядок
40 millions of speakers

Translator English - Romanian

ordonare liniară
30 millions of speakers
el

Translator English - Greek

γραμμική διάταξη
15 millions of speakers
af

Translator English - Afrikaans

lineêre bestel
14 millions of speakers
sv

Translator English - Swedish

linjär beställning
10 millions of speakers
no

Translator English - Norwegian

lineær bestilling
5 millions of speakers

Trends of use of linear ordering

TRENDS

TENDENCIES OF USE OF THE TERM «LINEAR ORDERING»

The term «linear ordering» is normally little used and occupies the 138.131 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Little used
36
/100
The map shown above gives the frequency of use of the term «linear ordering» in the different countries.
Principal search tendencies and common uses of linear ordering
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «linear ordering».

FREQUENCY OF USE OF THE TERM «LINEAR ORDERING» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «linear ordering» during the past 500 years. Its implementation is based on analysing how often the term «linear ordering» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about linear ordering

EXAMPLES

10 ENGLISH BOOKS RELATING TO «LINEAR ORDERING»

Discover the use of linear ordering in the following bibliographical selection. Books relating to linear ordering and brief extracts from same to provide context of its use in English literature.
1
Linear orderings
Linear orderings
Joseph G. Rosenstein, 1982
2
Search and Learning for the Linear Ordering Problem with an ...
In addition, the dissertation provides a number of new theoretical results, and lays out an ambitious program for potential future research.
Roy Wesley Tromble, 2009
3
The Linear Ordering Problem: Exact and Heuristic Methods in ...
Furthermore, there is a set P of job pairs (i, j), each specifying that job i has to be executed before job j. (It is as- sumed that there are no contradictions within these precedences.) The task consists of finding a linear ordering 〈k1,k2 ,...,k n〉 of ...
Rafael Martí, Gerhard Reinelt, 2011
4
Scatter Search: Methodology and Implementations in C
Linear Ordering Problem Well. I don't think there is any question about it. It can only be attributable to human error. HAL 9000 in 2001 Space Odyssey (1968) This is our third and last tutorial chapter. The goal of this chapter is to illustrate the  ...
Manuel Laguna, Rafael Martí, Rafael Cunquero Martí, 2003
5
Development in Language Theory: 15th International ...
In this paper, by a linear ordering L = (L, <) we shall mean a countable linear ordering. We will use standard terminology as in [11]. The isomorphism class of a linear ordering is its order-type. A linear ordering L is dense if it has at least two ...
Giancarlo Mauri, Alberto Leporati, 2011
6
LATIN 2012: Theoretical Informatics: 10th Latin American ...
When each Px is the linear ordering P, the ordered sum ∑ x∈Q Px is the product P × Q. Since the sum and product operations preserve isomorphism, they may be extended to order types. Suppose that (P, <) is a linear ordering and that P is ...
David Fernández-Baca, 2012
7
A Course on Set Theory
(A,≺) is a strict linear ordering iff it is transitive, irreflexive and total. Definition 3.2 Let ≺ and be two relations on A. Suppose that xy ⇐⇒ (x≺yorx=y) for all x,y ∈ A. Then (A, ) is a linear ordering iff (A,≺) is a strict linear ordering. The definition tells  ...
Ernest Schimmerling, 2011
8
Recursive Algebra, Analysis and Combinatorics
Definition 2.2 Henceforth we shall call a linear ordering 11,, (E,,, An, etc.) if it is a II,, (2.1, An, etc.) subordering of Note 2.1 It is important that the reader note that a 2,,-presented linear ordering is different from a 2,, linear ordering. Indeed, a 2, ...
I︠U︡riĭ Leonidovich Ershov, Y. L. Ershov, 1998
9
Mathematical Foundations of Computer Science 2001: 26th ...
A linear ordering J is a set equipped with an ordering < which is total, that is, for any j = k in J, either j<k or k<j holds. The ordering of the integers, of the relative integers and of the rational numbers are linear orderings, respectively denoted by ...
Jiri Sgall, Ales Pultr, Petr Kolman, 2001
10
Non-Archimedean Utility Theory
By means of the following theorem, which is from Szpilrajn (1930), we may prove the existence of a utility function (i.w.s.) for a partial ordering by showing that a utility function (i.n.s.) exists for a linear ordering. THEOREM 30. Let 91 = </4,JP> ...
Heinz J. Skala, 1975

3 NEWS ITEMS WHICH INCLUDE THE TERM «LINEAR ORDERING»

Find out what the national and international press are talking about and how the term linear ordering is used in the context of the following news items.
1
Maths From An Extra Terrestrial Civilization - What Could It Be Like …
Maybe their maths then would somehow reflect that - they would know what a linear ordering is - but would not be like us where nearly all the ... «Science 2.0, Jun 14»
2
Our First View into the "Blackout Zones" of the Human Genome
In other words, the linear ordering of these bases along the entire length of a given chromosome provides biologically meaningful information. «Scientific American, Mar 14»
3
Creating All Humans: A Data-Driven AI Framework for Open Game …
With this boost, priorities can be specified in ways more complex than simple linear ordering. For example, while melee is listed at a higher ... «Gamasutra, Feb 09»

REFERENCE
« EDUCALINGO. Linear ordering [online]. Available <https://educalingo.com/en/dic-en/linear-ordering>. May 2024 ».
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