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quaternion
[ kwuh-tur-nee-uhn ]
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; i 2 = j 2 = k 2 = −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.
quaternion
/ əˈɜːɪə /
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
quaternion
/ ə-û′ŧ-ə /
- Any number of the form a + bi + cj + dk where a, b, c, and d are real numbers, ij = k, i 2 = j 2 = −1, and ij = − ji. Under addition and multiplication, quaternions have all the properties of a field, except that multiplication is not commutative.
yvlog History and Origins
Origin of quaternion1
yvlog History and Origins
Origin of quaternion1
Example Sentences
Halfway through the episode, Urmson is describing the mathematical model his company chose: quaternions.
In his 1865 treatise 'A dynamical theory of the electromagnetic field', Maxwell laid out 20 equations using esoteric mathematical expressions known as quaternions.
But science is full of them - my favorite being William Hamilton using his pocketknife to carve quaternion equations on a bridge abutment after inspiration hit when he had no paper or pencil.
In particular he explained the principle of least action, first advanced by P. L. M. de Maupertuis, and developed by Sir W. R. Hamilton, of quaternion fame.
Every pulse pushes nature's quaternion along life's currents recreating us afresh; the morn feeding the morn, Memnon's music issuing from every stop, as if the Orient itself had sung.
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