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Anticommutativity and Jacobi identity

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

Difference between Anticommutativity and Jacobi identity

Anticommutativity vs. Jacobi identity

In mathematics, anticommutativity is a specific property of some non-commutative operations. In mathematics the Jacobi identity is a property of a binary operation which describes how the order of evaluation (the placement of parentheses in a multiple product) affects the result of the operation.

Similarities between Anticommutativity and Jacobi identity

Anticommutativity and Jacobi identity have 7 things in common (in Unionpedia): Associative property, Binary operation, Commutator, Cross product, Group (mathematics), Lie algebra, Set (mathematics).

Associative property

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

Anticommutativity and Associative property · Associative property and Jacobi identity · See more »

Binary operation

In mathematics, a binary operation on a set is a calculation that combines two elements of the set (called operands) to produce another element of the set.

Anticommutativity and Binary operation · Binary operation and Jacobi identity · See more »

Commutator

In mathematics, the commutator gives an indication of the extent to which a certain binary operation fails to be commutative.

Anticommutativity and Commutator · Commutator and Jacobi identity · See more »

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.

Anticommutativity and Cross product · Cross product and Jacobi identity · 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.

Anticommutativity and Group (mathematics) · Group (mathematics) and Jacobi identity · See more »

Lie algebra

In mathematics, a Lie algebra (pronounced "Lee") is a vector space \mathfrak g together with a non-associative, alternating bilinear map \mathfrak g \times \mathfrak g \rightarrow \mathfrak g; (x, y) \mapsto, called the Lie bracket, satisfying the Jacobi identity.

Anticommutativity and Lie algebra · Jacobi identity and Lie algebra · See more »

Set (mathematics)

In mathematics, a set is a collection of distinct objects, considered as an object in its own right.

Anticommutativity and Set (mathematics) · Jacobi identity and Set (mathematics) · See more »

The list above answers the following questions

Anticommutativity and Jacobi identity Comparison

Anticommutativity has 35 relations, while Jacobi identity has 24. As they have in common 7, the Jaccard index is 11.86% = 7 / (35 + 24).

References

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

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