Cartesian product

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noun Mathematics.

the collection of all ordered pairs of two given sets such that the first elements of the pairs are chosen from one set and the second elements from the other set: this procedure generalizes to an infinite number of sets.

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Origin of Cartesian product

First recorded in 1955–60

Words nearby Cartesian product

Cartesian coordinate, Cartesian coordinates, Cartesian coordinate system, Cartesian diver, Cartesian doubt, Cartesian product, Cartesian space, cartful, Carthage, Carthaginian, Carthaginian peace

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

How to use Cartesian product in a sentence

Together, the teams are working 24 hours a day for a product that promises much higher risk than it does profit.
The Race for the Ebola Vaccine|Abby Haglage|January 7, 2015|DAILY BEAST
The billionaire philanthropist tastes the product of a machine that processes human sewage into drinking water and electricity.
Bill Gates Drinks Sewer Water|Jack Holmes, The Daily Beast Video|January 7, 2015|DAILY BEAST
Bitcoin began 2013 with a roaring price of $770 per unit, and businesses right and left were converting to the ethereal product.
You Were Wrong About Miley & Bitcoin: 2014’s Failed Predictions|Nina Strochlic|December 31, 2014|DAILY BEAST
And, with Coca-Cola announcing the launch of a new milk product, the beverage could be back in our hands before we know it.
History's Craziest Hangover Cures|Justin Jones|December 30, 2014|DAILY BEAST

The resulting product included four single-cask variants along with finished pictures of McKidd enjoying a glass of The Macallan.
The Restaurant, Flask, And Photography Worthy of The Macallan Whisky||December 16, 2014|DAILY BEAST
It is the principal waste-product of metabolism, and constitutes about one-half of all the solids excreted—about 30 gm.
A Manual of Clinical Diagnosis|James Campbell Todd
The product is then multiplied by the number of cubic centimeters voided in twenty-four hours and divided by 1000.
A Manual of Clinical Diagnosis|James Campbell Todd
I should judge that a peck of corn is about the average product of a day's work through all this region.
Glances at Europe|Horace Greeley
I suspect, from the evident care taken of it, that its product is considerably relied on for food.
Glances at Europe|Horace Greeley
Virginia leaf still continues to flourish, and to-day it is the great agricultural product of the State.
Tobacco; Its History, Varieties, Culture, Manufacture and Commerce|E. R. Billings.

British Dictionary definitions for Cartesian product

Cartesian product

noun

maths logic 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 BAlso called: cross product

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012