Faster access than browser!Similarities between Composition algebra and Split-octonion
Composition algebra and Split-octonion have 14 things in common (in Unionpedia): Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, Academic Press, Cayley–Dickson construction, Field (mathematics), Isotropic quadratic form, Mathematics, Max August Zorn, Multiplicative inverse, Nathan Jacobson, Octonion, Octonion algebra, Quadratic form, Real number, Split-quaternion.
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (English: Papers from the Mathematical Seminar of the University of Hamburg) is a peer-reviewed mathematics journal published by Springer Science+Business Media.
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg and Composition algebra · Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg and Split-octonion ·
Academic Press
Academic Press is an academic book publisher.
Academic Press and Composition algebra · Academic Press and Split-octonion ·
Cayley–Dickson construction
In mathematics, the Cayley–Dickson construction, named after Arthur Cayley and Leonard Eugene Dickson, produces a sequence of algebras over the field of real numbers, each with twice the dimension of the previous one.
Cayley–Dickson construction and Composition algebra · Cayley–Dickson construction and Split-octonion ·
Field (mathematics)
In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.
Composition algebra and Field (mathematics) · Field (mathematics) and Split-octonion ·
Isotropic quadratic form
In mathematics, a quadratic form over a field F is said to be isotropic if there is a non-zero vector on which the form evaluates to zero.
Composition algebra and Isotropic quadratic form · Isotropic quadratic form and Split-octonion ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Composition algebra and Mathematics · Mathematics and Split-octonion ·
Max August Zorn
Max August Zorn (June 6, 1906 – March 9, 1993) was a German mathematician.
Composition algebra and Max August Zorn · Max August Zorn and Split-octonion ·
Multiplicative inverse
In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative identity, 1.
Composition algebra and Multiplicative inverse · Multiplicative inverse and Split-octonion ·
Nathan Jacobson
Nathan Jacobson (October 5, 1910 – December 5, 1999) was an American mathematician.
Composition algebra and Nathan Jacobson · Nathan Jacobson and Split-octonion ·
Octonion
In mathematics, the octonions are a normed division algebra over the real numbers, usually represented by the capital letter O, using boldface O or blackboard bold \mathbb O. There are three lower-dimensional normed division algebras over the reals: the real numbers R themselves, the complex numbers C, and the quaternions H. The octonions have eight dimensions; twice the number of dimensions of the quaternions, of which they are an extension.
Composition algebra and Octonion · Octonion and Split-octonion ·
Octonion algebra
In mathematics, an octonion algebra or Cayley algebra over a field F is an algebraic structure which is an 8-dimensional composition algebra over F. In other words, it is a unital non-associative algebra A over F with a non-degenerate quadratic form N (called the norm form) such that for all x and y in A. The most well-known example of an octonion algebra is the classical octonions, which are an octonion algebra over R, the field of real numbers.
Composition algebra and Octonion algebra · Octonion algebra and Split-octonion ·
Quadratic form
In mathematics, a quadratic form is a homogeneous polynomial of degree two in a number of variables.
Composition algebra and Quadratic form · Quadratic form and Split-octonion ·
Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
Composition algebra and Real number · Real number and Split-octonion ·
Split-quaternion
In abstract algebra, the split-quaternions or coquaternions are elements of a 4-dimensional associative algebra introduced by James Cockle in 1849 under the latter name.
Composition algebra and Split-quaternion · Split-octonion and Split-quaternion ·
The list above answers the following questions
- What Composition algebra and Split-octonion have in common
- What are the similarities between Composition algebra and Split-octonion
Composition algebra and Split-octonion Comparison
Composition algebra has 60 relations, while Split-octonion has 33. As they have in common 14, the Jaccard index is 15.05% = 14 / (60 + 33).
References
This article shows the relationship between Composition algebra and Split-octonion. To access each article from which the information was extracted, please visit:
