# quaternion

*quaternion*on Thesaurus.com

a group or set of four persons or things.

Bookbinding. four gathered sheets folded in two for binding together.

Mathematics.

an expression of the form a + bi + cj + dk, where a,b,c, and d are real numbers; i2 = j2 = k2 = −1; and ij = −ji = k, jk = −kj = i, and ki = −ik = j.

a quantity or operator expressed as the sum of a real number and three complex numbers, equivalent to the quotient of two vectors. The field of quaternions is not commutative under multiplication.

## Origin of quaternion

^{1}

## Words Nearby quaternion

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

## How to use quaternion in a sentence

Of course, each player also does his best to stop his opponent from forming his

*quaternion*or file of four.Three Hundred Things a Bright Boy Can Do | AnonymousKeep forming threes as long as you can so as to force your opponent to stop the threatened

*quaternion*.Three Hundred Things a Bright Boy Can Do | AnonymousHis days are thus described: from dawn to the third hour he copied rapidly, filling a (

*quaternion*) each day.The Mediaeval Mind (Volume I of II) | Henry Osborn TaylorEven then the captain of the gate was replying to a question from the

*quaternion*.Ulric the Jarl | William O. StoddardShould neither player be able to form a

*quaternion*, then the game is drawn.Three Hundred Things a Bright Boy Can Do | Anonymous

## British Dictionary definitions for quaternion

/ (kwəˈtɜːnɪən) /

maths a generalized complex number consisting of four components, x = x 0 + x 1 i + x 2 j + x 3 k, where x, x 0 … x 3 are real numbers and i² = j² = k² = –1, ij = –ji = k, etc

another word for quaternary (def. 5)

## Origin of quaternion

^{1}

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

## Scientific definitions for quaternion

[ kwə-tûr′nē-ən ]

Any number of the form a + bi + cj + dk where a, b, c, and d are real numbers, ij = k, i2 = j2 = -1, and ij = -ji. Under addition and multiplication, quaternions have all the properties of a field, except that multiplication is not commutative.

The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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