a group or set of four persons or things.
Bookbinding. four gathered sheets folded in two for binding together.
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.
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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.
Keep forming threes as long as you can so as to force your opponent to stop the threatened quaternion.
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
Even then the captain of the gate was replying to a question from the quaternion.Ulric the Jarl | William O. Stoddard
Should neither player be able to form a quaternion, then the game is drawn.
British Dictionary definitions for quaternion
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)
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
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.