quaternion

[ kwuh-tur-nee-uhn ]

/ kwəˈtɜr ni ən /

SEE SYNONYMS FOR quaternion ON THESAURUS.COM

noun

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

1350–1400; Middle English quaternioun<Late Latin quaterniōn- (stem of quaterniō), equivalent to Latin quatern(ī) four at a time + -iōn--ion

Words nearby quaternion

quatercentennial, quaternary, quaternary ammonium compound, quaternary structure, quaternate, quaternion, quaternity, Quathlamba, quatorze, quatrain, quatre

Dictionary.com UnabridgedBased on the Random House Unabridged Dictionary, © Random House, Inc. 2020

Example sentences from the Web for quaternion

Four soldiers formed a quaternion; four quaternions therefore were sixteen men, who were especially appointed to guard Peter.
"Granny's Chapters"|Lady Mary Ross
The quaternion was a gathering of four sheets of vellum, each folded once; thus forming sixteen pages.
Illuminated Manuscripts in Classical and Mediaeval Times|J. Henry Middleton
These last words are incorrect in fact, for οὐκ ἄνθρωπος does not appear in the first Quaternion, but is reserved for the second.
Aristotle|George Grote
His 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 Taylor

William Hare, the second of our quaternion, was also a native of Ireland, having been born in the neighbourhood of Londonderry.
The Court of Cacus|Alexander Leighton

British Dictionary definitions for quaternion

quaternion

/ (kwəˈtɜːnɪən) /

noun

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)

Word Origin for quaternion

C14: from Late Latin quaterniōn, from Latin quaternī four at a time

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

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.

单词	quaternion
释义	quaternion [ kwuh-tur-nee-uhn ] / kwəˈtɜr ni ən / SEE SYNONYMS FOR quaternion ON THESAURUS.COM noun 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 1350–1400; Middle English quaternioun<Late Latin quaterniōn- (stem of quaterniō), equivalent to Latin quatern(ī) four at a time + -iōn--ion Words nearby quaternion quatercentennial, quaternary, quaternary ammonium compound, quaternary structure, quaternate, quaternion, quaternity, Quathlamba, quatorze, quatrain, quatre Dictionary.com UnabridgedBased on the Random House Unabridged Dictionary, © Random House, Inc. 2020 Example sentences from the Web for quaternion Four soldiers formed a quaternion; four quaternions therefore were sixteen men, who were especially appointed to guard Peter. "Granny's Chapters"\|Lady Mary Ross The quaternion was a gathering of four sheets of vellum, each folded once; thus forming sixteen pages. Illuminated Manuscripts in Classical and Mediaeval Times\|J. Henry Middleton These last words are incorrect in fact, for οὐκ ἄνθρωπος does not appear in the first Quaternion, but is reserved for the second. Aristotle\|George Grote His 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 Taylor William Hare, the second of our quaternion, was also a native of Ireland, having been born in the neighbourhood of Londonderry. The Court of Cacus\|Alexander Leighton British Dictionary definitions for quaternion quaternion / (kwəˈtɜːnɪən) / noun 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) Word Origin for quaternion C14: from Late Latin quaterniōn, from Latin quaternī four at a time 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 Words related to quaternion quartette, tetralogy, tetrad, quaternity, quadrivium, quadruplet, quadruple, quaternary, quadrumvirate, quadrigeminal Scientific definitions for quaternion 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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quaternion

noun

Origin of quaternion

Words nearby quaternion

Example sentences from the Web for quaternion

British Dictionary definitions for quaternion

noun

Word Origin for quaternion

Words related to quaternion

Scientific definitions for quaternion