In model checking, a field of computer science, a difference bound matrix (DBM) is a data structure used to represent some convex polytopes called zones. This structure can be used to efficiently implement some geometrical operations over zones, such as testing emptyness, inclusion, equality, and computing the intersection and the sum of two zones. It is, for example, used in the Uppaal model checker; where it is also distributed as an independent library.[1]
More precisely, there is a notion of canonical DBM; there is a one-to-one relation between canonical DBMs and zones and from each DBM a canonical equivalent DBM can be efficiently computed. Thus, equality of zone can be tested by checking for equality of canonical DBMs.
^"UPPAAL DBM Library". GitHub. 16 July 2021.
and 26 Related for: Difference bound matrix information
In model checking, a field of computer science, a differenceboundmatrix (DBM) is a data structure used to represent some convex polytopes called zones...
diketone: 1,3-diphenylpropane-1,3-dione Dibromomethane, a halomethane Differenceboundmatrix, a data structure used in a field of computer science Dibutyl maleate...
computer science. As of January 2024[update], the best bound on the asymptotic complexity of a matrix multiplication algorithm is O(n2.371552). However, this...
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...
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...
the Hamming bound is a limit on the parameters of an arbitrary block code: it is also known as the sphere-packing bound or the volume bound from an interpretation...
They made their directing debut in 1996 with Bound and achieved fame with their second film, The Matrix (1999), a major box office success for which they...
of bounding the differences by applying Azuma's inequality to a Doob martingale. A version of the boundeddifferences inequality holds in the matrix setting...
In mathematics, a symmetric matrix M {\displaystyle M} with real entries is positive-definite if the real number z T M z {\displaystyle z^{\operatorname...
n × n Hadamard matrix has the maximum possible n-dimensional volume among parallelotopes spanned by vectors whose entries are bounded in absolute value...
complexity of matrix multiplication) remains unknown. As of April 2024[update], the best announced bound on the asymptotic complexity of a matrix multiplication...
Kreiss to analyze the stability of finite difference methods for partial difference equations. Given a matrix A, the Kreiss constant 𝒦(A) (with respect...
a DFT matrix is an expression of a discrete Fourier transform (DFT) as a transformation matrix, which can be applied to a signal through matrix multiplication...
The p×p matrix Qxx = E[ xi xiT ] is of full rank, and hence positive-definite; {xiεi} is a martingale difference sequence, with a finite matrix of second...
many different directions, and is thus computed from the geometry of the matrix. More generally, condition numbers can be defined for non-linear functions...
-a_{k}=0,} which can be found by stacking into matrix form a set of equations consisting of the above difference equation and the k – 1 equations x t − 1 =...
difference equation and Matrixdifference equation for example of uses of "difference equation" instead of "recurrence relation" Difference equations resemble...
A {\displaystyle A} is an n × n {\displaystyle n\times n} WCDD L-matrix, we can bound its inverse as follows: ‖ A − 1 ‖ ∞ ≤ ∑ i [ a i i ∏ j = 1 i ( 1 −...
complex matrix into a rotation, followed by a rescaling followed by another rotation. It generalizes the eigendecomposition of a square normal matrix with...
a spike. The eigenvectors of the difference between the spike-triggered covariance matrix and the covariance matrix of the prior stimulus ensemble (the...
of protons and generally neutrons, surrounded by an electromagnetically bound swarm of electrons. The chemical elements are distinguished from each other...
matrix of the errors, are null. The fit of a model to a data point is measured by its residual, r i {\displaystyle r_{i}} , defined as the difference...
7n^{2}} is an upper bound on the key size of the Hill cipher using n × n matrices. This is only an upper bound because not every matrix is invertible and...
Its structure is similar to that of the guanosine nucleoside, the only difference being that nucleotides like GTP have phosphates on their ribose sugar...
divergences. In the case of the Bekenstein bound, ultraviolet divergences can be avoided by taking differences between quantities computed in an excited...