Mathematics and Octonion

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Mathematics and Octonion

Mathematics vs. Octonion

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change. 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.

Similarities between Mathematics and Octonion

Mathematics and Octonion have 6 things in common (in Unionpedia): Complex number, Group (mathematics), Lie group, Quaternion, Real number, String theory.

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.

Complex number and Mathematics · Complex number and Octonion · See more »

Group (mathematics)

In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.

Group (mathematics) and Mathematics · Group (mathematics) and Octonion · See more »

Lie group

In mathematics, a Lie group (pronounced "Lee") is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure.

Lie group and Mathematics · Lie group and Octonion · See more »

Quaternion

In mathematics, the quaternions are a number system that extends the complex numbers.

Mathematics and Quaternion · Octonion and Quaternion · See more »

Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

Mathematics and Real number · Octonion and Real number · See more »

String theory

In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings.

Mathematics and String theory · Octonion and String theory · See more »

The list above answers the following questions

What Mathematics and Octonion have in common
What are the similarities between Mathematics and Octonion

Mathematics and Octonion Comparison

Mathematics has 321 relations, while Octonion has 66. As they have in common 6, the Jaccard index is 1.55% = 6 / (321 + 66).

References

This article shows the relationship between Mathematics and Octonion. To access each article from which the information was extracted, please visit:

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