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quaternion::noun | Spocien Dictionary
| Type | Words |
|---|---|
| Synonyms | 4, four, foursome, iv, little joe, quadruplet, quartet, quatern, quaternary, quaternity, tetrad |
| Type of | digit, figure |
Examples of quaternion
quaternion
Conjugation can be used to extract the scalar and vector parts of a quaternion.
From the en.wikipedia.org
The quaternion involved abandoning commutativity, a radical step for the time.
From the en.wikipedia.org
On page 173 Macfarlane expands on his greater theory of quaternion variables.
From the en.wikipedia.org
When he died, Hamilton was working on a definitive statement of quaternion science.
From the en.wikipedia.org
For example, matrix multiplication and quaternion multiplication are both non-commutative.
From the en.wikipedia.org
Using conjugation and the norm makes it possible to define the reciprocal of a quaternion.
From the en.wikipedia.org
The scalar part of a quaternion is always real, and the vector part is always pure imaginary.
From the en.wikipedia.org
The fourth power of the norm of a quaternion is the determinant of the corresponding matrix.
From the en.wikipedia.org
Quaternion algebra is embedded naturally in geometric algebra.
From the newscientist.com
- Four: the cardinal number that is the sum of three and one
- In mathematics, the quaternions are a number system that extends the complex numbers. They were first described by Irish mathematician Sir William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space. ...
- In mathematics, a quaternion algebra over a field F is a central simple algebra A over F that has dimension 4 over F. Every quaternion algebra becomes the matrix algebra by extending scalars (=tensoring with a field extension), i.e. ...
- Quaternion is a poetry style where the theme is divided into four,each part explores the complementary natures of their theme or subject.The word quaternion being derived from the Latin word quaterni ,meaning four by four. The poem maybe in any poetic form.
- This article derives the main properties of rotations in 3-dimensional space.
- A group or set of four people or things.^[3]; A four-dimensional hypercomplex number that consists of a real dimension and 3 imaginary ones (i, j, k) that are each a square root of -1. They are commonly used in vector mathematics and in calculating the rotation of three-dimensional objects.^[3]
- (Quaternions) Instead of using a three-component Euler angle, quaternions use a four-component vector. It is generally difficult to describe the relationships of these quaternion channels to the resulting orientation, but it is often not necessary. ...
- (Quaternions) discovered by William Hamilton, have the form a+bi+cj+dk, where i, j and k are "special" quantities.
- A quaternion represents a three-dimensional spherical rotation as a four-component row vector of unit length:
