Automorphism and Geometric algebra

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

Difference between Automorphism and Geometric algebra

Automorphism vs. Geometric algebra

In mathematics, an automorphism is an isomorphism from a mathematical object to itself. The geometric algebra (GA) of a vector space is an algebra over a field, noted for its multiplication operation called the geometric product on a space of elements called multivectors, which is a superset of both the scalars F and the vector space V. Mathematically, a geometric algebra may be defined as the Clifford algebra of a vector space with a quadratic form.

Similarities between Automorphism and Geometric algebra

Automorphism and Geometric algebra have 9 things in common (in Unionpedia): Abstract algebra, Algebra over a field, Associative property, Complex number, Field (mathematics), Quaternion, Real number, Vector space, William Rowan Hamilton.

Abstract algebra

In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures.

Abstract algebra and Automorphism · Abstract algebra and Geometric algebra · See more »

Algebra over a field

In mathematics, an algebra over a field (often simply called an algebra) is a vector space equipped with a bilinear product.

Algebra over a field and Automorphism · Algebra over a field and Geometric algebra · See more »

Associative property

In mathematics, the associative property is a property of some binary operations.

Associative property and Automorphism · Associative property and Geometric algebra · See more »

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.

Automorphism and Complex number · Complex number and Geometric algebra · See more »

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.

Automorphism and Field (mathematics) · Field (mathematics) and Geometric algebra · See more »

Quaternion

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

Automorphism and Quaternion · Geometric algebra 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.

Automorphism and Real number · Geometric algebra and Real number · See more »

Vector space

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.

Automorphism and Vector space · Geometric algebra and Vector space · See more »

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.

Automorphism and William Rowan Hamilton · Geometric algebra and William Rowan Hamilton · See more »

The list above answers the following questions

What Automorphism and Geometric algebra have in common
What are the similarities between Automorphism and Geometric algebra

Automorphism and Geometric algebra Comparison

Automorphism has 94 relations, while Geometric algebra has 147. As they have in common 9, the Jaccard index is 3.73% = 9 / (94 + 147).

References

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

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