Quaternion vs. Versor — What's the Difference?

In mathematics, the quaternion number system extends the complex numbers. Quaternions were first described by Irish mathematician William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space.

In mathematics, a versor is a quaternion of norm one (a unit quaternion). The word is derived from Latin versare = "to turn" with the suffix -or forming a noun from the verb (i.e.

A set of four persons or items.

(quaternion algebra) A quaternion of norm one. Category:en:Higher-dimensional geometry

(Mathematics) 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 multiplication is not commutative.

(geometric algebra) A multivector representing a proper or improper rotation.

A group or set of four people or things.

The turning factor of a quaternion.

A word of four syllables.

(mathematics) A type of four-dimensional hypercomplex number consisting of a real part and three imaginary parts (real multiples of distinct, independent square roots of −1 denoted by i, j and k); commonly used in vector mathematics and as an alternative to matrix algebra in calculating the rotation of three-dimensional objects.

The number four.

A set of four parts, things, or person; four things taken collectively; a group of four words, phrases, circumstances, facts, or the like.

A word of four syllables; a quadrisyllable.

The quotient of two vectors, or of two directed right lines in space, considered as depending on four geometrical elements, and as expressible by an algebraic symbol of quadrinomial form.

To divide into quaternions, files, or companies.

The cardinal number that is the sum of three and one