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Meaning of "Cartesian product" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF CARTESIAN PRODUCT

Cartesian product play
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GRAMMATICAL CATEGORY OF CARTESIAN PRODUCT

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Cartesian product 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 CARTESIAN PRODUCT MEAN IN ENGLISH?

Cartesian product

In mathematics, a Cartesian product is a mathematical operation which returns a set from multiple sets. That is, for sets A and B, the Cartesian product A × B is the set of all ordered pairs where a ∈ A and b ∈ B. The simplest case of a Cartesian product is the Cartesian square, which returns a set from two sets. A table can be created by taking the Cartesian product of a set of rows and a set of columns. If the Cartesian product rows × columns is taken, the cells of the table contain ordered pairs of the form. A Cartesian product of n sets can be represented by an array of n dimensions, where each element is an n-tuple. An ordered pair is a 2-tuple. The Cartesian product is named after René Descartes, whose formulation of analytic geometry gave rise to the concept.

Definition of Cartesian product in the English dictionary

The definition of Cartesian product in the dictionary is the set of all ordered pairs of members of two given sets. The product A × B is the set of all pairs < a, b> where a is a member of A and b is a member of B Also called: cross product.

WORDS THAT BEGIN LIKE CARTESIAN PRODUCT

Carter
Carteret
cartes blanches
cartes du jour
Cartesian
Cartesian coordinates
Cartesianism
cartful
Carthage
Carthaginian
carthamine
carthorse
Carthusian
Cartier
Cartier-Bresson
cartilage
cartilage bone
cartilaginous
cartilaginous fish
Cartland

WORDS THAT END LIKE CARTESIAN PRODUCT

banking product
blood product
by-product
cleaning product
conduct
coproduct
cross product
dot product
end product
finished product
fission product
global product
gross domestic product
gross national product
multiproduct
primary product
product
scalar product
set product
subproduct
vector product

Synonyms and antonyms of Cartesian product in the English dictionary of synonyms

SYNONYMS

Translation of «Cartesian product» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF CARTESIAN PRODUCT

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

Translator English - Chinese

笛卡尔积
1,325 millions of speakers

Translator English - Spanish

producto cartesiano
570 millions of speakers

English

Cartesian product
510 millions of speakers

Translator English - Hindi

कार्तीय उत्पाद
380 millions of speakers
ar

Translator English - Arabic

المنتج الديكارتي
280 millions of speakers

Translator English - Russian

декартово произведение
278 millions of speakers

Translator English - Portuguese

produto cartesiano
270 millions of speakers

Translator English - Bengali

কার্টিজিয়ান পণ্য
260 millions of speakers

Translator English - French

produit cartésien
220 millions of speakers

Translator English - Malay

Produk Cartesian
190 millions of speakers

Translator English - German

kartesisches Produkt
180 millions of speakers

Translator English - Japanese

デカルト積
130 millions of speakers

Translator English - Korean

데카르트 제품
85 millions of speakers

Translator English - Javanese

Produk Cartesian
85 millions of speakers
vi

Translator English - Vietnamese

sản phẩm Descartes
80 millions of speakers

Translator English - Tamil

கார்டீசியன் தயாரிப்பு
75 millions of speakers

Translator English - Marathi

कार्टेशियन उत्पादन
75 millions of speakers

Translator English - Turkish

Kartezyen ürün
70 millions of speakers

Translator English - Italian

prodotto cartesiano
65 millions of speakers

Translator English - Polish

Produkt kartezjański
50 millions of speakers

Translator English - Ukrainian

декартово твір
40 millions of speakers

Translator English - Romanian

produs cartezian
30 millions of speakers
el

Translator English - Greek

καρτεσιανό γινόμενο
15 millions of speakers
af

Translator English - Afrikaans

Cartesiese produk
14 millions of speakers
sv

Translator English - Swedish

kartesisk produkt
10 millions of speakers
no

Translator English - Norwegian

kartesisk produkt
5 millions of speakers

Trends of use of Cartesian product

TRENDS

TENDENCIES OF USE OF THE TERM «CARTESIAN PRODUCT»

The term «Cartesian product» is regularly used and occupies the 76.333 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
65
/100
The map shown above gives the frequency of use of the term «Cartesian product» in the different countries.
Principal search tendencies and common uses of Cartesian product
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «Cartesian product».

FREQUENCY OF USE OF THE TERM «CARTESIAN PRODUCT» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «Cartesian product» during the past 500 years. Its implementation is based on analysing how often the term «Cartesian product» 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 Cartesian product

EXAMPLES

10 ENGLISH BOOKS RELATING TO «CARTESIAN PRODUCT»

Discover the use of Cartesian product in the following bibliographical selection. Books relating to Cartesian product and brief extracts from same to provide context of its use in English literature.
1
Topics in Graph Theory: Graphs and Their Cartesian Product
This book serves as an introduction to advanced applications of graph theory and provides a survey of recent developments in the field by looking in particular at Cartesian productsarguably the most important of the four standard graph ...
Wilfried Imrich, Sandi Klavzar, Douglas F Rall, 2008
2
Advanced ANSI SQL Data Modeling and Structure Processing
2.3. ANSI. SQL. Join. Does. Not. FoIIow. the. Cartesian. Product. ModeI. It is interesting to note that the ANSI SQL outer join syntax does not follow the Cartesian product model for performing joins as documented in Chapter 1 . This is ...
Michael M. David, 1999
3
Mathematical and Computer Programming Techniques for ...
1.16 The Cartesian Product of Sets The set of all ordered pairs (a, b), where a e A and b e B, is called the Cartesian product of sets A and B and is denoted as A x B , which is read as A cross B. The formal definition of the Cartesian product of ...
Peter Comninos, 2010
4
Computational Integration
DEFINITION 6.1.2 (K-FOLD CARTESIAN PRODUCT RULES). Suppose the integration region B is the Cartesian product of K > 2 regions B\,...,BK, i.e., B = B\ x . . . x BK. Let nk denote integration formulas for the integrals lkfk:= I A(x<*')dx<*',  ...
Arnold R. Krommer, Christoph W. Ueberhuber, 1998
5
Naive Set Theory
Explanation of notation: a symbol such as U»,j is an abbreviation for The notation of families is the one normally used in generalizing the concept of Cartesian product. The Cartesian product of two sets X and Y was defined as the set of all ...
P. R. Halmos, 1960
6
Database Systems: Concepts, Design and Applications
4.4.8 CARTESIAN PRODUCT Operation In case of a CARTESIAN PRODUCT operator (also called cross—product), it takes each tuple (row) from the first named table (relation) and concatenates it with every row (tuple) of the second table ...
Shio Kumar Singh, 2011
7
Elementary Set Theory, Part I/II
Then the set of all families x = (*,-),-e/ of elements of U where xt e At is, by 5.2, equal to the cartesian product defined in 5.8. Therefore we may use any set U with the above property to define the cartesian product. Using a similar argument, we ...
K.T. Leung, Doris Lai-chue Chen, 1992
8
Dependable Computing - EDCC-1: First European Dependable ...
Let Pj be the definition range of the input Ij and consider the cartesian product of all the Pj. The elements of the cartesian product are n-uple (ai, sq_, ...an) where aj belongs to Pj. Let us now consider some subsets of the cartesian product ...
Klaus Echtle, Dieter Hammer, David Powell, 1994
9
Geometry of Cuts and Metrics
The hypercube is the simplest example of a Cartesian product of graphs; indeed, the m-hypercube is nothing but (K^)m. We consider here isometric embeddings of graphs into arbitrary Cartesian products. It turns out that every graph can be ...
M. Deza, Monique Laurent, 1997
10
Model-Based Systems Engineering
See the definition at A1.172 /or PJN, projection. *) 2.56 There may be some difficulty with the question "which sets are and which sets are not Cartesian products?" A set S is a Cartesian product if and only if there exist n sets CI,. . .,Cn, where n ...
A. Wayne Wymore, 1993

9 NEWS ITEMS WHICH INCLUDE THE TERM «CARTESIAN PRODUCT»

Find out what the national and international press are talking about and how the term Cartesian product is used in the context of the following news items.
1
Beware The Temporary Table
Query 2 uses a cross join (cartesian product) QIWS/QCUSTCDT and TEMP1 to find each customer's share of the debt. Here are the equivalent ... «IT Jungle, Jun 15»
2
Microsoft SQL Server 2012 T-SQL Fundamentals
... resulting in a Cartesian product. The author provides both ANSI SQL-92 and ANSI SQL-89 SQL to accomplish this. Useful example data (downloadable) and ... «iProgrammer, Nov 14»
3
Get a lifetime subscription to PasswordBox for $9.99
If you read the FROM fields what is clear is that they had a coding malfunction / Cartesian product where every TO was crossed with a list of ... «CNET, May 14»
4
Lurch lets you enter math in a document -- and check it, too
... using more than 100 predefined rules, covering everything from "addition" and "multiplication" to "logic", "DeMorgan" and "Cartesian product". «BetaNews, Apr 14»
5
Poetry and Transformation
She moves to a greater human awareness in the poem “Cartesian Product”: The set of yellow people. is the intersection of the set. of people ... «CounterPunch, Oct 13»
6
Functional And Dysfunctional Programming
It isn't a dynamic process but a subset of the Cartesian product of two sets. So what does all this have to do with functional programming? «iProgrammer, Oct 13»
7
Here are the 10 patents Facebook is suing Yahoo with
The multidimensional data can define a multidimensional space defined by a Cartesian product of the dimensions. The multidimensional space ... «ZDNet, Apr 12»
8
UK Computer science grads have 'lowest employment rate'
... graduates of the same year but for computer science graduates the figure was 5.1 per cent, as pointed out by the Cartesian Product blog. «PCR-online.biz, Sep 11»
9
Diagramming Tool For SQL Select Statements
A cartesian product isn't necessarily a bad choice, if the product fits in memory. ... The statement about being 'no need for a Cartesian product' ... «Slashdot, Aug 08»

REFERENCE
« EDUCALINGO. Cartesian product [online]. Available <https://educalingo.com/en/dic-en/cartesian-product>. May 2024 ».
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