Similarities between Geometric algebra and Octonion
Geometric algebra and Octonion have 13 things in common (in Unionpedia): Associative property, Automorphism, Bivector, Complex number, Cross product, Distributive property, Gamma matrices, Hodge star operator, Kronecker delta, Quaternion, Real number, William Rowan Hamilton, Zero divisor.
Associative property
In mathematics, the associative property is a property of some binary operations.
Associative property and Geometric algebra · Associative property and Octonion ·
Automorphism
In mathematics, an automorphism is an isomorphism from a mathematical object to itself.
Automorphism and Geometric algebra · Automorphism and Octonion ·
Bivector
In mathematics, a bivector or 2-vector is a quantity in exterior algebra or geometric algebra that extends the idea of scalars and vectors.
Bivector and Geometric algebra · Bivector 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.
Complex number and Geometric algebra · Complex number and Octonion ·
Cross product
In mathematics and vector algebra, the cross product or vector product (occasionally directed area product to emphasize the geometric significance) is a binary operation on two vectors in three-dimensional space \left(\mathbb^3\right) and is denoted by the symbol \times.
Cross product and Geometric algebra · Cross product and Octonion ·
Distributive property
In abstract algebra and formal logic, the distributive property of binary operations generalizes the distributive law from boolean algebra and elementary algebra.
Distributive property and Geometric algebra · Distributive property and Octonion ·
Gamma matrices
In mathematical physics, the gamma matrices, \, also known as the Dirac matrices, are a set of conventional matrices with specific anticommutation relations that ensure they generate a matrix representation of the Clifford algebra Cℓ1,3(R).
Gamma matrices and Geometric algebra · Gamma matrices and Octonion ·
Hodge star operator
In mathematics, the Hodge isomorphism or Hodge star operator is an important linear map introduced in general by W. V. D. Hodge.
Geometric algebra and Hodge star operator · Hodge star operator and Octonion ·
Kronecker delta
In mathematics, the Kronecker delta (named after Leopold Kronecker) is a function of two variables, usually just non-negative integers.
Geometric algebra and Kronecker delta · Kronecker delta and Octonion ·
Quaternion
In mathematics, the quaternions are a number system that extends the complex numbers.
Geometric algebra 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.
Geometric algebra and Real number · Octonion and Real number ·
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.
Geometric algebra 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.
Geometric algebra and Zero divisor · Octonion and Zero divisor ·
The list above answers the following questions
- What Geometric algebra and Octonion have in common
- What are the similarities between Geometric algebra and Octonion
Geometric algebra and Octonion Comparison
Geometric algebra has 147 relations, while Octonion has 66. As they have in common 13, the Jaccard index is 6.10% = 13 / (147 + 66).
References
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