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quaternion

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The answer QUATERNION has 0 possible clue(s) in existing crosswords.

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Definitions of quaternion in various dictionaries:

noun - the cardinal number that is the sum of three and one

A set of four persons or items.

An expression that is the sum of a real number and a vector and that contains four terms, one real and three imaginary.

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Possible Dictionary Clues
the cardinal number that is the sum of three and one
A set of four persons or items.
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.

Quaternion description
In mathematics, the quaternions are a number system that extends the complex numbers. They were first described by Irish mathematician William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space. A feature of quaternions is that multiplication of two quaternions is noncommutative. Hamilton defined a quaternion as the quotient of two directed lines in a three-dimensional space or equivalently as the quotient of two vectors.Quaternions are generally represented in the form:* * * * a * + * b * * * i * * + * c * * * j * * + * d * * * k * * * * {\displaystyle a+b\ \mathbf {i} +c\ \mathbf {j} +d\ \mathbf {k} } * where a, b, c, and d are real numbers, and i, j, and k are the fundamental quaternion units. * Quaternions find uses in both theoretical and applied mathematics, in particular for calculations involving three-d

Quaternion description

In mathematics, the quaternions are a number system that extends the complex numbers. They were first described by Irish mathematician William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space. A feature of quaternions is that multiplication of two quaternions is noncommutative. Hamilton defined a quaternion as the quotient of two directed lines in a three-dimensional space or equivalently as the quotient of two vectors.Quaternions are generally represented in the form:*
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* d
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* {\displaystyle a+b\ \mathbf {i} +c\ \mathbf {j} +d\ \mathbf {k} }
* where a, b, c, and d are real numbers, and i, j, and k are the fundamental quaternion units.
* Quaternions find uses in both theoretical and applied mathematics, in particular for calculations involving three-d

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