Faster access than browser!Similarities between Cayley–Dickson construction and Octonion
Cayley–Dickson construction and Octonion have 17 things in common (in Unionpedia): Alternative algebra, Arthur Cayley, Associative property, Commutative property, Complex number, Composition algebra, Inverse element, Involution (mathematics), John T. Graves, Mathematics, Norm (mathematics), Quaternion, Real number, Sedenion, Split-octonion, William Rowan Hamilton, Zero divisor.
Alternative algebra
In abstract algebra, an alternative algebra is an algebra in which multiplication need not be associative, only alternative.
Alternative algebra and Cayley–Dickson construction · Alternative algebra and Octonion ·
Arthur Cayley
Arthur Cayley F.R.S. (16 August 1821 – 26 January 1895) was a British mathematician.
Arthur Cayley and Cayley–Dickson construction · Arthur Cayley and Octonion ·
Associative property
In mathematics, the associative property is a property of some binary operations.
Associative property and Cayley–Dickson construction · Associative property and Octonion ·
Commutative property
In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.
Cayley–Dickson construction and Commutative property · Commutative property and Octonion ·
Complex number
A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.
Cayley–Dickson construction and Complex number · Complex number and Octonion ·
Composition algebra
In mathematics, a composition algebra over a field is a not necessarily associative algebra over together with a nondegenerate quadratic form that satisfies for all and in.
Cayley–Dickson construction and Composition algebra · Composition algebra and Octonion ·
Inverse element
In abstract algebra, the idea of an inverse element generalises concepts of a negation (sign reversal) in relation to addition, and a reciprocal in relation to multiplication.
Cayley–Dickson construction and Inverse element · Inverse element and Octonion ·
Involution (mathematics)
In mathematics, an involution, or an involutory function, is a function that is its own inverse, for all in the domain of.
Cayley–Dickson construction and Involution (mathematics) · Involution (mathematics) and Octonion ·
John T. Graves
John Thomas Graves (4 December 1806 – 29 March 1870) was an Irish jurist and mathematician.
Cayley–Dickson construction and John T. Graves · John T. Graves and Octonion ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Cayley–Dickson construction and Mathematics · Mathematics and Octonion ·
Norm (mathematics)
In linear algebra, functional analysis, and related areas of mathematics, a norm is a function that assigns a strictly positive length or size to each vector in a vector space—save for the zero vector, which is assigned a length of zero.
Cayley–Dickson construction and Norm (mathematics) · Norm (mathematics) and Octonion ·
Quaternion
In mathematics, the quaternions are a number system that extends the complex numbers.
Cayley–Dickson construction and Quaternion · Octonion and Quaternion ·
Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
Cayley–Dickson construction and Real number · Octonion and Real number ·
Sedenion
In abstract algebra, the sedenions form a 16-dimensional noncommutative and nonassociative algebra over the reals obtained by applying the Cayley–Dickson construction to the octonions.
Cayley–Dickson construction and Sedenion · Octonion and Sedenion ·
Split-octonion
In mathematics, the split-octonions are an 8-dimensional nonassociative algebra over the real numbers.
Cayley–Dickson construction and Split-octonion · Octonion and Split-octonion ·
William Rowan Hamilton
Sir William Rowan Hamilton MRIA (4 August 1805 – 2 September 1865) was an Irish mathematician who made important contributions to classical mechanics, optics, and algebra.
Cayley–Dickson construction and William Rowan Hamilton · Octonion and William Rowan Hamilton ·
Zero divisor
In abstract algebra, an element of a ring is called a left zero divisor if there exists a nonzero such that, or equivalently if the map from to that sends to is not injective.
Cayley–Dickson construction and Zero divisor · Octonion and Zero divisor ·
The list above answers the following questions
- What Cayley–Dickson construction and Octonion have in common
- What are the similarities between Cayley–Dickson construction and Octonion
Cayley–Dickson construction and Octonion Comparison
Cayley–Dickson construction has 48 relations, while Octonion has 66. As they have in common 17, the Jaccard index is 14.91% = 17 / (48 + 66).
References
This article shows the relationship between Cayley–Dickson construction and Octonion. To access each article from which the information was extracted, please visit:
