Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Free
Faster access than browser!
 

Group action and Homography

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

Difference between Group action and Homography

Group action vs. Homography

In mathematics, an action of a group is a formal way of interpreting the manner in which the elements of the group correspond to transformations of some space in a way that preserves the structure of that space. In projective geometry, a homography is an isomorphism of projective spaces, induced by an isomorphism of the vector spaces from which the projective spaces derive.

Similarities between Group action and Homography

Group action and Homography have 20 things in common (in Unionpedia): Affine space, Alternating group, Automorphism, Bijection, Cross-ratio, Euclidean space, Function composition, General linear group, Group (mathematics), Identity function, Inverse function, Isomorphism, Möbius transformation, Modular group, Permutation, Projective linear group, Projective space, Quotient group, Ring (mathematics), Vector space.

Affine space

In mathematics, an affine space is a geometric structure that generalizes the properties of Euclidean spaces in such a way that these are independent of the concepts of distance and measure of angles, keeping only the properties related to parallelism and ratio of lengths for parallel line segments.

Affine space and Group action · Affine space and Homography · See more »

Alternating group

In mathematics, an alternating group is the group of even permutations of a finite set.

Alternating group and Group action · Alternating group and Homography · See more »

Automorphism

In mathematics, an automorphism is an isomorphism from a mathematical object to itself.

Automorphism and Group action · Automorphism and Homography · See more »

Bijection

In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set, and each element of the other set is paired with exactly one element of the first set.

Bijection and Group action · Bijection and Homography · See more »

Cross-ratio

In geometry, the cross-ratio, also called the double ratio and anharmonic ratio, is a number associated with a list of four collinear points, particularly points on a projective line.

Cross-ratio and Group action · Cross-ratio and Homography · See more »

Euclidean space

In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.

Euclidean space and Group action · Euclidean space and Homography · See more »

Function composition

In mathematics, function composition is the pointwise application of one function to the result of another to produce a third function.

Function composition and Group action · Function composition and Homography · See more »

General linear group

In mathematics, the general linear group of degree n is the set of invertible matrices, together with the operation of ordinary matrix multiplication.

General linear group and Group action · General linear group and Homography · 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 Group action · Group (mathematics) and Homography · See more »

Identity function

Graph of the identity function on the real numbers In mathematics, an identity function, also called an identity relation or identity map or identity transformation, is a function that always returns the same value that was used as its argument.

Group action and Identity function · Homography and Identity function · See more »

Inverse function

In mathematics, an inverse function (or anti-function) is a function that "reverses" another function: if the function applied to an input gives a result of, then applying its inverse function to gives the result, and vice versa.

Group action and Inverse function · Homography and Inverse function · See more »

Isomorphism

In mathematics, an isomorphism (from the Ancient Greek: ἴσος isos "equal", and μορφή morphe "form" or "shape") is a homomorphism or morphism (i.e. a mathematical mapping) that can be reversed by an inverse morphism.

Group action and Isomorphism · Homography and Isomorphism · See more »

Möbius transformation

In geometry and complex analysis, a Möbius transformation of the complex plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad − bc ≠ 0.

Group action and Möbius transformation · Homography and Möbius transformation · See more »

Modular group

In mathematics, the modular group is the projective special linear group PSL(2,Z) of 2 x 2 matrices with integer coefficients and unit determinant.

Group action and Modular group · Homography and Modular group · See more »

Permutation

In mathematics, the notion of permutation relates to the act of arranging all the members of a set into some sequence or order, or if the set is already ordered, rearranging (reordering) its elements, a process called permuting.

Group action and Permutation · Homography and Permutation · See more »

Projective linear group

In mathematics, especially in the group theoretic area of algebra, the projective linear group (also known as the projective general linear group or PGL) is the induced action of the general linear group of a vector space V on the associated projective space P(V).

Group action and Projective linear group · Homography and Projective linear group · See more »

Projective space

In mathematics, a projective space can be thought of as the set of lines through the origin of a vector space V. The cases when and are the real projective line and the real projective plane, respectively, where R denotes the field of real numbers, R2 denotes ordered pairs of real numbers, and R3 denotes ordered triplets of real numbers.

Group action and Projective space · Homography and Projective space · 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.

Group action and Quotient group · Homography and Quotient group · See more »

Ring (mathematics)

In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.

Group action and Ring (mathematics) · Homography and Ring (mathematics) · 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.

Group action and Vector space · Homography and Vector space · See more »

The list above answers the following questions

Group action and Homography Comparison

Group action has 132 relations, while Homography has 80. As they have in common 20, the Jaccard index is 9.43% = 20 / (132 + 80).

References

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

Hey! We are on Facebook now! »