change-of-basis matrix. A transformation A ↦ P−1AP is called a similarity transformation or conjugation of the matrix A. In the general linear group, similarity is...

related fields, a similarity measure or similarity function or similarity metric is a real-valued function that quantifies the similarity between two objects...

In data analysis, the self-similarity matrix is a graphical representation of similar sequences in a data series. Similarity can be explained by different...

Similarity transformation may refer to: Similarity (geometry), for shape-preserving transformations Matrix similarity, for matrix transformations of the...

the characteristic polynomial of a square matrix is a polynomial which is invariant under matrix similarity and has the eigenvalues as roots. It has the...

invariant under similarities if f ( A ) = f ( B − 1 A B ) {\displaystyle f(A)=f(B^{-1}AB)} where B − 1 A B {\displaystyle B^{-1}AB} is a matrix similar to...

Germinal matrix Hair matrix cell Matrix attachment region Matrix metalloproteinase Matrix protein PAM matrix Position-specific scoring matrix Similarity matrix...

invariant under matrix similarity. This implies that, given a linear endomorphism of a finite-dimensional vector space, the determinant of the matrix that represents...

case of ranking similarity learning, one aims to learn a matrix W that parametrizes the similarity function f W ( x , z ) = x T W z {\displaystyle f_{W}(x...

similarity transformation: B = P A P − 1 {\displaystyle \mathbf {B} =\mathbf {P} \mathbf {A} \mathbf {P} ^{-1}} The matrix P is called a similarity matrix...

analysis, cosine similarity is a measure of similarity between two non-zero vectors defined in an inner product space. Cosine similarity is the cosine of...

matrices above are the simplest matrix for each class. Matrix similarity is a special case of matrix equivalence. If two matrices are similar then they are also...

Look up similarity in Wiktionary, the free dictionary. Similarity may refer to: Similarity (geometry), the property of sharing the same shape Matrix similarity...

The Matrix is a 1999 science fiction action film written and directed by the Wachowskis. It is the first installment in the Matrix film series, starring...

The Matrix is an American cyberpunk media franchise consisting of four feature films, beginning with The Matrix (1999) and continuing with three sequels...

matrices similar by some real matrix S {\displaystyle S} , consimilarity is the same as matrix similarity. Like ordinary similarity, consimilarity is an equivalence...

columns in the first matrix must be equal to the number of rows in the second matrix. The resulting matrix, known as the matrix product, has the number...

matrix similarity. The row echelon form is a canonical form, when one considers as equivalent a matrix and its left product by an invertible matrix....

in the given document. This procedure produces a document-document similarity matrix which can in turn be used for the generation of document clusters...

in the Matrix franchise to be directed solely by Lana. It is the sequel to The Matrix Revolutions (2003) and the fourth installment in The Matrix film series...

mathematics, computer science and especially graph theory, a distance matrix is a square matrix (two-dimensional array) containing the distances, taken pairwise...

The Jaccard index is a statistic used for gauging the similarity and diversity of sample sets. It is defined in general taking the ratio of two sizes (areas...

In mathematics, a triangular matrix is a special kind of square matrix. A square matrix is called lower triangular if all the entries above the main diagonal...

diagonalization in the article Diagonalizable matrix, which refers to simultaneous diagonalization by a similarity transformation. Our result here is more akin...

tr(A)tr(B). The similarity-invariance of the trace, meaning that tr(A) = tr(P−1AP) for any square matrix A and any invertible matrix P of the same dimensions...

computer science, an adjacency matrix is a square matrix used to represent a finite graph. The elements of the matrix indicate whether pairs of vertices...

sequences. 3.  Often used for denoting other types of similarity, for example, matrix similarity or similarity of geometric shapes. 4.  Standard notation for...

In linear algebra, a symmetric matrix is a square matrix that is equal to its transpose. Formally, A  is symmetric ⟺ A = A T . {\displaystyle A{\text{...

elements) of the real rotation matrix given above is 1 + 2 cos φ. Since a trace is invariant under an orthogonal matrix similarity transformation, T r [ A R...

rotation matrix is a transformation matrix that is used to perform a rotation in Euclidean space. For example, using the convention below, the matrix R = [...