- 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
Related Words for quaterniontetralogy, tetrad, quaternity, quadrivium, quadruplet, quadruple, quaternion, quaternary, quadrumvirate, quartet, quadrigeminal
Examples from the Web for quaternion
Historical Examples of quaternion
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.
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
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
As regard class of the first quaternion, like Sancho Panza I have no intention of indicating how old these may be.Legends & Romances of Spain