Faster access than browser!Similarities between General linear group and Homography
General linear group and Homography have 22 things in common (in Unionpedia): Affine space, Automorphism, Bijection, Characteristic (algebra), Collineation, Commutative ring, Field (mathematics), Finite field, Group (mathematics), Group action, Integer, Invertible matrix, Isomorphism, Modular group, Projective geometry, Projective linear group, Projective space, Quotient group, Ring (mathematics), Trace (linear algebra), Unit (ring theory), 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 General linear group · Affine space and Homography ·
Automorphism
In mathematics, an automorphism is an isomorphism from a mathematical object to itself.
Automorphism and General linear group · Automorphism and Homography ·
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 General linear group · Bijection and Homography ·
Characteristic (algebra)
In mathematics, the characteristic of a ring R, often denoted char(R), is defined to be the smallest number of times one must use the ring's multiplicative identity (1) in a sum to get the additive identity (0) if the sum does indeed eventually attain 0.
Characteristic (algebra) and General linear group · Characteristic (algebra) and Homography ·
Collineation
In projective geometry, a collineation is a one-to-one and onto map (a bijection) from one projective space to another, or from a projective space to itself, such that the images of collinear points are themselves collinear.
Collineation and General linear group · Collineation and Homography ·
Commutative ring
In ring theory, a branch of abstract algebra, a commutative ring is a ring in which the multiplication operation is commutative.
Commutative ring and General linear group · Commutative ring and Homography ·
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.
Field (mathematics) and General linear group · Field (mathematics) and Homography ·
Finite field
In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements.
Finite field and General linear group · Finite field and Homography ·
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.
General linear group and Group (mathematics) · Group (mathematics) and Homography ·
Group action
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.
General linear group and Group action · Group action and Homography ·
Integer
An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").
General linear group and Integer · Homography and Integer ·
Invertible matrix
In linear algebra, an n-by-n square matrix A is called invertible (also nonsingular or nondegenerate) if there exists an n-by-n square matrix B such that where In denotes the n-by-n identity matrix and the multiplication used is ordinary matrix multiplication.
General linear group and Invertible matrix · Homography and Invertible matrix ·
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.
General linear group and Isomorphism · Homography and Isomorphism ·
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.
General linear group and Modular group · Homography and Modular group ·
Projective geometry
Projective geometry is a topic in mathematics.
General linear group and Projective geometry · Homography and Projective geometry ·
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).
General linear group and Projective linear group · Homography and Projective linear group ·
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.
General linear group and Projective space · Homography and Projective space ·
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.
General linear group and Quotient group · Homography and Quotient group ·
Ring (mathematics)
In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.
General linear group and Ring (mathematics) · Homography and Ring (mathematics) ·
Trace (linear algebra)
In linear algebra, the trace of an n-by-n square matrix A is defined to be the sum of the elements on the main diagonal (the diagonal from the upper left to the lower right) of A, i.e., where aii denotes the entry on the ith row and ith column of A. The trace of a matrix is the sum of the (complex) eigenvalues, and it is invariant with respect to a change of basis.
General linear group and Trace (linear algebra) · Homography and Trace (linear algebra) ·
Unit (ring theory)
In mathematics, an invertible element or a unit in a (unital) ring is any element that has an inverse element in the multiplicative monoid of, i.e. an element such that The set of units of any ring is closed under multiplication (the product of two units is again a unit), and forms a group for this operation.
General linear group and Unit (ring theory) · Homography and Unit (ring theory) ·
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.
General linear group and Vector space · Homography and Vector space ·
The list above answers the following questions
- What General linear group and Homography have in common
- What are the similarities between General linear group and Homography
General linear group and Homography Comparison
General linear group has 120 relations, while Homography has 80. As they have in common 22, the Jaccard index is 11.00% = 22 / (120 + 80).
References
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