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Document showing verification of requirements
In software development, a traceability matrix (TM) is a document, usually in the form of a table, used to assist in determining the completeness of a
Traceability_matrix
Sum of elements on the main diagonal
In linear algebra, the trace of a square matrix A, denoted tr(A), is defined as a sum of the elements on its main diagonal, a 11 + a 22 + ⋯ + a n n {\displaystyle
Trace_(linear_algebra)
Capability to trace something
verifiable. Traceability is applicable to measurement, supply chain, software development, healthcare and security. The term measurement traceability or metrological
Traceability
Sub-discipline of requirements management
Requirements traceability is a sub-discipline of requirements management within software development and systems engineering. Traceability as a general
Requirements_traceability
Checking software against expectations
test plan or even a separate artifact. In software development, a traceability matrix (TM) is a document, usually in the form of a table, used to assist
Software_testing
integration test cases and the system test cases. In a requirements traceability matrix, the rows will have the requirements. The columns represent each
Test_strategy
1999 film by the Wachowskis
The Matrix is a 1999 science fiction action film written and directed by the Wachowskis. The first installment in the Matrix film series, it stars Keanu
The_Matrix
Norm on a vector space of matrices
such norms are referred to as matrix norms. Matrix norms behave in certain ways like the distance from the zero matrix. They are distinguished from the
Matrix_norm
industry-led effort to enhance traceability throughout the entire produce supply chain was launched as the Produce Traceability Initiative. An analysis of
Produce_traceability
Enterprise architecture framework
Services Traceability Matrix A mapping of services (activities) back to operational activities (activities). SvcV-6 Services Resource Flow Matrix It provides
Department of Defense Architecture Framework
Department_of_Defense_Architecture_Framework
Topics referred to by the same term
Struct tm, calendar time type in the C and C++ programming languages Traceability matrix, in software development Translation memory Turing machine, a hypothetical
TM
Array of numbers
In mathematics, a matrix (pl.: matrices) is a rectangular array of numbers or other mathematical objects with elements or entries arranged in rows and
Matrix_(mathematics)
Mathematical operation in linear algebra
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_multiplication
Matrix representing a Euclidean rotation
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 = [
Rotation_matrix
Matrix-valued random variable
probability theory and mathematical physics, a random matrix is a matrix-valued random variable—that is, a matrix in which some or all of its entries are sampled
Random_matrix
Fictional character in The Matrix
character in The Matrix franchise. He is portrayed by Laurence Fishburne in the first three films, and in the video game The Matrix: Path of Neo, where
Morpheus_(The_Matrix)
Specialized notation for multivariable calculus
In mathematics, matrix calculus is a specialized notation for doing multivariable calculus, especially over spaces of matrices. It collects the various
Matrix_calculus
Global Traceability Committee and North American Traceability Committee. When used in "single-density" mode, laser scribers use a dot matrix of 5 dots
SEMI_font
Property of a mathematical matrix
In mathematics, a symmetric matrix M {\displaystyle M} with real entries is positive-definite if the real number x T M x {\displaystyle \mathbf {x} ^{\mathsf
Definite_matrix
Matrix representation of a graph
theory, the Laplacian matrix, also called the graph Laplacian, admittance matrix, Kirchhoff matrix, or discrete Laplacian, is a matrix representation of a
Laplacian_matrix
Mathematical tool in quantum physics
In quantum mechanics, a density matrix (or density operator) is a matrix used in calculating the probabilities of the outcomes of measurements performed
Density_matrix
Two-dimensional matrix barcode
A Data Matrix is a two-dimensional code consisting of black and white "cells" or dots arranged in either a square or rectangular pattern, also known as
Data_Matrix
Matrices similar to diagonal matrices
linear algebra, a square matrix A {\displaystyle A} is called diagonalizable or non-defective if it is similar to a diagonal matrix. That is, if there exists
Diagonalizable_matrix
Quality control technique
Reverse semantic traceability (RST) is a quality control method for verification improvement. It helps to insure high quality of artifacts by backward
Reverse_semantic_traceability
Category and the organization responsible for the milestone decision. A traceability matrix is generally used to link items within the TEMP to items within specifications
Test and evaluation master plan
Test_and_evaluation_master_plan
Process of ensuring requirements are met
Verification and Validation (IV&V) Requirements Traceability Matrix (RTM) Requirements Verification Matrix Software Quality Assurance Unit testing Functional
Software_quality_control
Generalization of matrix trace
theory, a branch of mathematics, the categorical trace is a generalization of the trace of a matrix. The trace is defined in the context of a symmetric monoidal
Categorical_trace
Matrix with the same number of rows and columns
mathematics, a square matrix is a matrix with the same number of rows and columns. An n-by-n matrix is known as a square matrix of order n {\displaystyle
Square_matrix
Function over linear operators
This gives a matrix bk,i. The associated linear operator on V is independent of the choice of bases and is by definition the partial trace. Among physicists
Partial_trace
Fictional character
also known as The One) is a fictional character and the protagonist of The Matrix franchise, created by the Wachowskis. He was portrayed as a cybercriminal
Neo_(The_Matrix)
Square matrix used to represent a graph or network
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
Adjacency_matrix
Polynomial whose roots are the eigenvalues of a matrix
square matrix is a polynomial which is invariant under matrix similarity and has the eigenvalues as roots. It has the determinant and the trace of the
Characteristic_polynomial
In mathematics, invariant of square matrices
determinant is a scalar-valued function of the entries of a square matrix. The determinant of a matrix A is commonly denoted det ( A ) {\displaystyle \det(A)}
Determinant
For a square matrix, the transpose of the cofactor matrix
classical adjoint adj(A) of a square matrix A is the transpose of its cofactor matrix. It is occasionally known as adjunct matrix, or "adjoint", though that normally
Adjugate_matrix
Filling in missing entries of a matrix
Matrix completion is the task of filling in the missing entries of a partially observed matrix, which is equivalent to performing data imputation in statistics
Matrix_completion
Country in Northern Europe
has the 13th lowest business bribery risk in the world, according to TRACE Matrix. After restoring independence, in the 1990s, Estonia eagerly pursued
Estonia
Potential scenario for use of a system
difficulty is resolved by applying requirements traceability, for example with a traceability matrix. Another approach to associate UI elements with use
Use_case
Equivalence under a change of basis (linear algebra)
matrices A and B are called similar if there exists an invertible n-by-n matrix P such that B = P − 1 A P . {\displaystyle B=P^{-1}AP.} Two matrices are
Matrix_similarity
Equations involving the trace of a matrix
In mathematics, a trace identity is any equation involving the trace of a matrix. Trace identities are invariant under simultaneous conjugation. They
Trace_identity
Noncommutative geometric structure
trace since all operators have finite rank. For example, matrix algebras have no non-trivial singular traces and the matrix trace is the unique trace
Singular_trace
Description of product for defining change
Software configuration management Systems development life cycle Traceability matrix MIL-HDBK-61 page Page 3-4, "Configuration baseline (baseline)" CMMI
Baseline (configuration management)
Baseline_(configuration_management)
Matrix operation generalizing exponentiation of scalar numbers
In mathematics, the matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function. It is used to solve systems
Matrix_exponential
Specification of a software test, its objective and its procedure
between the requirement and the test is frequently done using a traceability matrix. Written test cases should include a description of the functionality
Test_case_(software)
Square matrix with ones on the main diagonal and zeros elsewhere
Binary matrix (zero-one matrix) Elementary matrix Exchange matrix Matrix of ones Pauli matrices (the identity matrix is the zeroth Pauli matrix) Householder
Identity_matrix
Topics referred to by the same term
in the United States Traceability Tracer (disambiguation) Tracing (disambiguation) Tracking (disambiguation) DTrace Human-Trace (Ichnos-Anthropos) This
Trace
Concept in Hlibert spaces mathematics
Characterizes the diagonal of a Hermitian matrix with given eigenvalues Trace identity – Equations involving the trace of a matrix von Neumann entropy – Type of entropy
Trace_inequality
Matrix defined using smaller matrices called blocks
In mathematics, a block matrix or a partitioned matrix is a matrix that is interpreted as having been broken into sections called blocks or submatrices
Block_matrix
Product locating technologies in logistics
range of traceability solutions and tools. Radio-frequency identification and barcodes are two common technologies used to deliver traceability. RFID is
Track_and_trace
Matrix decomposition
(also known as eigenvalue decomposition or EVD) is a factorization of a matrix A {\displaystyle A} into a canonical form given by A = Q D Q − 1 {\displaystyle
Eigendecomposition of a matrix
Eigendecomposition_of_a_matrix
Mathematical concept in algebra
In linear algebra, a nilpotent matrix is a square matrix N such that N k = 0 {\displaystyle N^{k}=0\,} for some positive integer k {\displaystyle k}
Nilpotent_matrix
Material traceability inspection
are 'controls' or standards used to check the quality and metrological traceability of products, to validate analytical measurement methods, or for the calibration
Certified_reference_materials
Matrix whose only nonzero elements are on its main diagonal
In linear algebra, a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero; the term usually refers to square matrices
Diagonal_matrix
2011-08-02 QualityCenter integration, Requirements Coverage Analysis and Traceability Matrix, API Java 6, Eclipse 3.6 win32 CTE XL Professional 2.5 2011-11-11
Classification_Tree_Method
Mathematics concept
In mathematics, a Hadamard matrix, named after the French mathematician Jacques Hadamard, is a square matrix whose entries are either +1 or −1 and whose
Hadamard_matrix
Structured visual modeling technique
has a requirement tag; these greatly facilitate the creation of a traceability matrix from requirement to test artifact. The first industry trials to test
Behavior_tree
A square root of a 2×2 matrix M is another 2×2 matrix R such that M = R2, where R2 stands for the matrix product of R with itself. In general, there can
Square root of a 2 by 2 matrix
Square_root_of_a_2_by_2_matrix
Concepts from linear algebra
algebraic multiplicity. The following are properties of this matrix and its eigenvalues: The trace of A {\displaystyle A} , defined as the sum of its diagonal
Eigenvalues_and_eigenvectors
Concept in statistics
statistics, the projection matrix ( P ) {\displaystyle (\mathbf {P} )} , sometimes also called the influence matrix or hat matrix ( H ) {\displaystyle (\mathbf
Projection_matrix
Mathematical ring whose elements are matrices
abstract algebra, a matrix ring is a set of matrices with entries in a ring R that form a ring under matrix addition and matrix multiplication. The set
Matrix_ring
Matrix with exactly one 1 per row and column
In mathematics, particularly in matrix theory, a permutation matrix is a square binary matrix that has exactly one entry of 1 in each row and each column
Permutation_matrix
Enterprise security architecture
analyzes the business requirements at the outset, and creates a chain of traceability through the strategy and concept, design, implementation, and ongoing
Sherwood Applied Business Security Architecture
Sherwood_Applied_Business_Security_Architecture
Mathematical function
=a+b{\sqrt {d}}} then the matrix of m α {\displaystyle m_{\alpha }} is: [ a b d b a ] {\displaystyle \left[{\begin{matrix}a&bd\\b&a\end{matrix}}\right]} , and so
Field_trace
Matrices important in quantum mechanics and the study of spin
Pauli matrix is Hermitian, and together with the identity matrix I {\displaystyle \mathbb {I} } (sometimes considered as the zeroth Pauli matrix σ 0 {\displaystyle
Pauli_matrices
Display that uses the light-modulating properties of liquid crystals
the same basic technology, except that arbitrary images are made from a matrix of small pixels, while other displays have larger elements. LCDs are used
Liquid-crystal_display
Mathematical operation
square root of a matrix extends the notion of square root from numbers to matrices. A matrix B is said to be a square root of A if the matrix product BB is
Square_root_of_a_matrix
Process of documenting and prioritizing requirements
presented in Requirements traceability. Requirement Requirements engineering Requirements analysis Requirements traceability Requirements Engineering Specialist
Requirements_management
Purported religion inspired by the Matrix film series
Matrixism, or The Path of the One, is a purported religion inspired by Lana & Lilly Wachowski's The Matrix film series. Conceived by an anonymous group
Matrixism
Form of a matrix
linear algebra, a skew-symmetric (or antisymmetric or antimetric) matrix is a square matrix whose transpose equals its negative. That is, it satisfies the
Skew-symmetric_matrix
Type of matrix representation
complex matrix A {\displaystyle A} is a factorization of the form A = U P {\displaystyle A=UP} , where U {\displaystyle U} is a unitary matrix, and P {\displaystyle
Polar_decomposition
Type of two-dimensional barcode
A QR code, short for quick-response code, is a type of two-dimensional matrix barcode invented in 1994 by Masahiro Hara of the Japanese company Denso Wave
QR_code
Mathematical function often applied to matrices
norm. It quantifies key notions such as positive/negative definiteness in matrix theory, uniformly coercive or monotone vector fields in nonlinear analysis
Logarithmic_norm
Elementwise product of two matrices
a matrix of the multiplied corresponding elements. This operation can be thought as a "naive matrix multiplication" and is different from the matrix product
Hadamard_product_(matrices)
Square matrices satisfy their characteristic equation
mathematicians Arthur Cayley and William Rowan Hamilton) states that every square matrix over a commutative ring (such as the real or complex numbers or the integers)
Cayley–Hamilton_theorem
Matrix of binary truth values
matrix, binary matrix, relation matrix, Boolean matrix, or (0, 1)-matrix is a matrix with entries from the Boolean domain B = {0, 1}. Such a matrix can
Logical_matrix
In linear algebra, the inverse square matrix A {\displaystyle A} is another square matrix A − 1 {\displaystyle A^{-1}} such that the product A − 1 A {\displaystyle
Methods_of_matrix_inversion
Complex matrix A* obtained from a matrix A by transposing it and conjugating each entry
{\displaystyle m\times n} complex matrix A {\displaystyle \mathbf {A} } is an n × m {\displaystyle n\times m} matrix obtained by transposing A {\displaystyle
Conjugate_transpose
Mathematical operation on matrices
block matrix. It is a specialization of the tensor product (which is denoted by the same symbol) from vectors to matrices and gives the matrix of the
Kronecker_product
Set of a matrix's eigenvalues
invertible. The determinant of the matrix equals the product of its eigenvalues. Similarly, the trace of the matrix equals the sum of its eigenvalues.
Spectrum_of_a_matrix
Matrix decomposition
complex matrix into a rotation, followed by a scaling, followed by another rotation. It generalizes the eigendecomposition of a square normal matrix with
Singular_value_decomposition
Composite material consisting of ceramic fibers in a ceramic matrix
In materials science ceramic matrix composites (CMCs) are a subgroup of composite materials and a subgroup of ceramics. They consist of ceramic fibers
Ceramic_matrix_composite
Theory for how the brain handles memory recall
attributes. Multiple trace theory states that every item ever encoded, from birth to death, will exist in this matrix as multiple traces. This is done by
Multiple_trace_theory
Identification number system
information applications, housing and real estate as well as food and drug traceability. Japanese organisation Center for Better Living is using ucode for labelling
Ucode_system
Matrix that, squared, equals itself
linear algebra, an idempotent matrix is a matrix which, when multiplied by itself, yields itself. That is, the matrix A {\displaystyle A} is idempotent
Idempotent_matrix
Physics phenomenon
density matrix, which is a positive-semidefinite matrix, or a trace class when the state space is infinite-dimensional, and which has trace 1. By the
Quantum_entanglement
Theorem in linear algebra
In matrix theory, the Perron–Frobenius theorem, proved in its first part by Oskar Perron (1907) and extended by Georg Frobenius (1912), asserts that a
Perron–Frobenius_theorem
Generalization of gamma distribution to multiple dimensions
the distribution in 1928. Other names include Wishart ensemble (in random matrix theory, probability distributions over matrices are usually called "ensembles")
Wishart_distribution
Statistics concept
In statistics, sometimes the covariance matrix of a multivariate random variable is not known but has to be estimated. Estimation of covariance matrices
Estimation of covariance matrices
Estimation_of_covariance_matrices
Method of data analysis
the data's covariance matrix. Thus, the principal components are often computed by eigendecomposition of the data covariance matrix or singular value decomposition
Principal_component_analysis
Organization for barcode standards
information than legacy formats, enabling functions such as enhanced traceability, product authentication, inventory management, sustainability reporting
GS1
Shorthand notation for tensor operations
{C^{i}}_{k}={A^{i}}_{j}{B^{j}}_{k}} For a square matrix A i j {\displaystyle {A^{i}}_{j}} , the trace is the sum of the diagonal elements, hence the sum
Einstein_notation
Four-dimensional number system
of the determinant of the corresponding matrix. The scalar part of a quaternion is one half of the matrix trace. The conjugate of a quaternion corresponds
Quaternion
For two suitable matrices, A and B, I+AB and I+BA have the same determinant
identity matrix. It is closely related to the matrix determinant lemma and its generalization. It is the determinant analogue of the Woodbury matrix identity
Weinstein–Aronszajn_identity
Ray tracing technique
Ray transfer matrix analysis (also known as ABCD matrix analysis) is a mathematical form for performing ray tracing calculations in sufficiently simple
Ray_transfer_matrix_analysis
Notion in statistics
statistic of the covariance matrix (of an unbiased estimator), usually with positive real values (like the determinant or matrix trace). Working with positive
Fisher_information
Formula for the derivative of a matrix determinant
{dA(t)}{dt}}\right)} where tr(X) is the trace of the matrix X and adj ( X ) {\displaystyle \operatorname {adj} (X)} is its adjugate matrix. (The latter equality only
Jacobi's_formula
A rigid body with 3 distinct axes of inertia is unstable rotating about the middle axis
\omega _{3}} does not vary much, and write the equations of motion as a matrix equation: d d t [ ω 1 ω 2 ] = [ 0 − ω 3 ( I 3 − I 2 ) / I 1 − ω 3 ( I 1
Tennis_racket_theorem
Function that maps matrices to matrices
In mathematics, every analytic function can be used for defining a matrix function that maps square matrices with complex entries to square matrices of
Analytic_function_of_a_matrix
Digital watermark tracking code produced by many printers
balance sheets, can be traced to the owner of the printer and the inception date of the documents can be revealed. This traceability is unknown to many users
Printer_tracking_dots
Mathematical operation on vectors in 3D space
of a determinant of a special 3 × 3 matrix. According to Sarrus's rule, this involves multiplications between matrix elements identified by crossed diagonals
Cross_product
independent, nonnegative, and uniformly bounded random variables. In the matrix setting, the analogous theorem concerns a sum of positive-semidefinite random
Matrix_Chernoff_bound
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