Orthogonal matrix and Space group

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

Difference between Orthogonal matrix and Space group

Orthogonal matrix vs. Space group

In linear algebra, an orthogonal matrix is a square matrix whose columns and rows are orthogonal unit vectors (i.e., orthonormal vectors), i.e. where I is the identity matrix. In mathematics, physics and chemistry, a space group is the symmetry group of a configuration in space, usually in three dimensions.

Similarities between Orthogonal matrix and Space group

Orthogonal matrix and Space group have 7 things in common (in Unionpedia): Group (mathematics), Improper rotation, Point group, Quotient group, Reflection (mathematics), Rotation, Semidirect product.

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 Orthogonal matrix · Group (mathematics) and Space group · See more »

Improper rotation

In geometry, an improper rotation,.

Improper rotation and Orthogonal matrix · Improper rotation and Space group · See more »

Point group

In geometry, a point group is a group of geometric symmetries (isometries) that keep at least one point fixed.

Orthogonal matrix and Point group · Point group and Space group · See more »

Quotient group

A quotient group or factor group is a mathematical group obtained by aggregating similar elements of a larger group using an equivalence relation that preserves the group structure.

Orthogonal matrix and Quotient group · Quotient group and Space group · See more »

Reflection (mathematics)

In mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is called the axis (in dimension 2) or plane (in dimension 3) of reflection.

Orthogonal matrix and Reflection (mathematics) · Reflection (mathematics) and Space group · See more »

Rotation

A rotation is a circular movement of an object around a center (or point) of rotation.

Orthogonal matrix and Rotation · Rotation and Space group · See more »

Semidirect product

In mathematics, specifically in group theory, the concept of a semidirect product is a generalization of a direct product.

Orthogonal matrix and Semidirect product · Semidirect product and Space group · See more »

The list above answers the following questions

What Orthogonal matrix and Space group have in common
What are the similarities between Orthogonal matrix and Space group

Orthogonal matrix and Space group Comparison

Orthogonal matrix has 105 relations, while Space group has 65. As they have in common 7, the Jaccard index is 4.12% = 7 / (105 + 65).

References

This article shows the relationship between Orthogonal matrix and Space group. To access each article from which the information was extracted, please visit:

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