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Matrix of binary truth values
A logical 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
Logical_matrix
Matrix that shows the relationship between two classes of objects
In mathematics, an incidence matrix is a logical matrix that shows the relationship between two classes of objects, usually called an incidence relation
Incidence_matrix
Relationship between elements of two sets
C\subset R} satisfies two properties: The logical matrix of C {\displaystyle C} is the outer product of logical vectors C i j = u i v j , u , v {\displaystyle
Binary_relation
Matrix equal to its conjugate-transpose
In mathematics, a Hermitian matrix (or self-adjoint matrix) is a square matrix with complex-valued entries that is equal to its own conjugate transpose
Hermitian_matrix
Vector operation
a logical vector, a special case of a logical matrix. The logical operation and takes the place of multiplication. The outer product of two logical vectors
Outer_product
Reasoning about equations with free variables
relation may be represented by a logical matrix; then the converse relation is represented by the transpose matrix. A relation obtained as the composition
Algebraic_logic
True when either but not both inputs are true
disjunction, exclusive alternation, logical non-equivalence, or logical inequality is a logical operator whose negation is the logical biconditional. With two inputs
Exclusive_or
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
Set of the elements not in a given subset
(X\times Y)\setminus R.} Here, R {\displaystyle R} is often viewed as a logical matrix with rows representing the elements of X , {\displaystyle X,} and columns
Complement_(set_theory)
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
Mechanism for capturing chronological and causal relationships
A logical clock is a mechanism for capturing chronological and causal relationships in a distributed system. Often, distributed systems may have no physically
Logical_clock
matrices used in mathematics, science and engineering. A matrix (plural matrices, or less commonly matrixes) is a rectangular array of numbers called entries
List_of_named_matrices
Graph with oriented edges
i. The adjacency matrix of a directed graph is a logical matrix, and is unique up to permutation of rows and columns. Another matrix representation for
Directed_graph
This is a list of characters from The Matrix franchise universe. Many of the characters listed here have names reflecting certain aspects of them, such
List of Matrix series characters
List_of_Matrix_series_characters
American philosopher (1917–2002)
1948 he contributed to the calculus of relations with his article using logical matrices. Copi taught at the University of Illinois, the United States
Irving_Copi
Matrix with every entry equal to one
the corresponding logical matrices exist only for those dimensions. Zero matrix, a matrix where all entries are zero Single-entry matrix Horn, Roger A.;
Matrix_of_ones
Reversal of the order of elements of a binary relation
X:(x,y)\in L\}.} Since a relation may be represented by a logical matrix, and the logical matrix of the converse relation is the transpose of the original
Converse_relation
matrix is a matrix with entries from a Boolean algebra. When the two-element Boolean algebra is used, the Boolean matrix is called a logical matrix.
Boolean_matrix
Boolean matrix Boolean-valued function Conditioned disjunction Evasive Boolean function Exclusive or Functional completeness Logical biconditional Logical conjunction
List of Boolean algebra topics
List_of_Boolean_algebra_topics
In mathematics, a logical matrix may be described as d-disjunct and/or d-separable. These concepts play a pivotal role in the mathematical area of non-adaptive
Disjunct_matrix
Boolean polynomials as sums of monomials
\\c_{2}\\c_{3}\\c_{4}\\c_{5}\\c_{6}\\c_{7}\end{pmatrix}}} by an 8x8 logical matrix which represents the possible values that all the possible conjunctions
Algebraic_normal_form
Mathematical table used in logic
"The Philosophy of Logical Atomism" truth table matrices. The matrix for negation is Russell's, alongside of which is the matrix for material implication
Truth_table
Array of numbers
for example "yes" and "no", respectively) are called logical matrices. The distance (or cost) matrix contains information about the distances of the edges
Matrix_(mathematics)
generalized) notion of "matrix", that of a "logical matrix . . . one that contains no constants. Thus p|q is a logical matrix". Thus Russell has virtually
History_of_type_theory
Mathematical operation
corresponding 1 {\displaystyle 1} . Thus the logical matrix of a composition of relations can be found by computing the matrix product of the matrices representing
Composition_of_relations
Binary relation over a set and itself
corresponding to a directed graph. An endorelation R corresponds to a logical matrix of 0s and 1s, where the expression xRy (x is R-related to y) corresponds
Homogeneous_relation
British mathematician (1829–1903)
logical matrix. Alignment of rows of ones along the right side of a matrix is used, instead of the alignment of dots on the left. The logical matrix corresponds
Norman_Macleod_Ferrers
Mathematical set with an ordering
(ker), and converse relation (cnv). Each relation is depicted by its logical matrix for the poset whose Hasse diagram is depicted in the center. For example
Partially_ordered_set
Congruence used in integer factorization algorithms
which all the y factor into is called the factor base. Construct a logical matrix where each row describes one y, each column corresponds to one prime
Congruence_of_squares
Strategic planning tool
stakeholders.[citation needed] The logic of the Ansoff matrix has been questioned. The logical issues pertain to interpretations about newness. If one
Ansoff_matrix
Property that assigns truth values to k-tuples of individuals
management systems. Incidence structure Hypergraph Logic of relatives Logical matrix Partial order Predicate (mathematical logic) Projection (set theory)
Finitary_relation
identity matrix is not generally an identity matrix in the sense of matrix algebra. Negation: A logical negation ¬p is represented by matrix N = n s T
Vector_logic
Array data structure that compactly stores bits
represented by a bit array called a logical matrix. In the calculus of relations, these arrays are composed with matrix multiplication where the arithmetic
Bit_array
Matrix in which most of the elements are zero
In numerical analysis and scientific computing, a sparse matrix or sparse array is a matrix in which most of the elements are zero. There is no strict
Sparse_matrix
(Mathematical) decomposition into a product
a permutation matrix as its third factor. See Matrix decomposition for the most common types of matrix factorizations. A logical matrix represents a binary
Factorization
Overview of and topical guide to logic
Functional completeness Implicant Logic alphabet Logic redundancy Logical connective Logical matrix Product term True quantified Boolean formula Truth table Atomic
Outline_of_logic
French mathematician, developed calculus of relations (1921 to 2013)
the logical matrix associated with a relation. If u and v are logical vectors, then their logical outer product produces the associated logical matrix u
Jacques_Riguet
Algorithm used to determine the order of events in a distributed computer system
The Lamport timestamp algorithm is a simple logical clock algorithm used to determine the order of events in a distributed computer system. As different
Lamport_timestamp
Algebraic structure modeling logical operations
algebra Hypercube graph Karnaugh map Laws of Form Logic gate Logical graph Logical matrix Propositional logic Quine–McCluskey algorithm Two-element Boolean
Boolean_algebra_(structure)
Russian-American mathematician (1938–2023)
necessary to express the logical matrix of a binary relation as a Boolean sum, and where a concept is an outer product of logical vectors. In 2011, Schein
Boris_M._Schein
Any logic with four truth values
multiplication. There are sixteen logical matrices that are 2 × 2, and four logical vectors that act as inputs and outputs of the matrix transitions: X = {A, B,
Four-valued_logic
American scientist (1839–1914)
American philosophers List of pioneers in computer science Logical machine Logical matrix Mathematical psychology Normal distribution § Naming Peircean
Charles_Sanders_Peirce
If and only if relation
In logic and mathematics, the logical biconditional, also known as material biconditional or equivalence or bidirectional implication or biimplication
Logical_biconditional
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
matrix is the logical definition of one of the core concepts of Kimball's approach to dimensional modeling conformed dimension. The bus matrix defines part
Enterprise_bus_matrix
Type of residuated Boolean algebra with extra structure
Cylindric algebras Extension in logic Involution Logic of relatives Logical matrix Predicate functor logic Quantale Relation Relational calculus Relational
Relation_algebra
3-volume treatise on mathematics, 1910–1913
formula. Section ✱12 reintroduces the notion of "matrix" (contemporary truth table), the notion of logical types, and in particular the notions of first-order
Principia_Mathematica
Framework in development
have a negative impact. The core of the Logical Framework is the "temporal logic model" that runs through the matrix. This takes the form of a series of connected
Logical_Framework_Approach
Topological model
Predicates that can be obtained from the above by logical negation or parameter inversion (matrix transposition), as indicated by the last column: Predicates
DE-9IM
Pugh concept selection
of a decision matrix employing a multi-dimensional configuration space linked by way of logical relationships. MCDA Belief decision matrix S. Pugh (1981)
Decision-matrix_method
Subset of computer's virtualised hardware resources
A logical partition (LPAR) is a subset of a computer's hardware resources, virtualized as a separate computer. In effect, a physical machine can be partitioned
Logical_partition
argument applies to any multi-valued logic L complete with respect to a logical matrix all of whose elements have a name in the language of L.) The Kreisel–Putnam
Admissible_rule
Typographic symbol
"the determinant of the matrix A". When the matrix entries are written out, the determinant is denoted by surrounding the matrix entries by vertical bars
Vertical_bar
Topics referred to by the same term
Right shift may refer to: Logical right shift, a computer operation Arithmetic right shift, a computer operation Shift operator § Sequences, a linear
Right_shift
Property of a mathematical operation
logic, associativity is a valid rule of replacement for expressions in logical proofs. Within an expression containing two or more occurrences in a row
Associative_property
Target acquisition system
The CARVER matrix was developed by the United States Army Special Forces during the Vietnam War. CARVER is an acronym that stands for Criticality, Accessibility
CARVER_matrix
Type of matrix factorization
factorization factors a matrix as the product of a lower triangular matrix and an upper triangular matrix (see matrix multiplication and matrix decomposition)
LU_decomposition
Representation of a game in game theory
representations are not graphical per se, but rather represent the game by way of a matrix. While this approach can be of greater use in identifying strictly dominated
Normal-form_game
A matrix clock is a mechanism for capturing chronological and causal relationships in a distributed system. Matrix clocks are a generalization of the notion
Matrix_clock
Rules in probabilistic logic
by Maurice Fréchet that govern the combination of probabilities about logical propositions or events logically linked together in conjunctions (AND operations)
Fréchet_inequalities
formal systems, also known as logical calculi. Functional calculus, a way to apply various types of functions to operators Matrix calculus, a specialized notation
List_of_formal_systems
Special type of element of a set
n {\displaystyle n} -by- n {\displaystyle n} square matrices matrix multiplication matrix of all zeroes extended real numbers min , inf {\displaystyle
Absorbing_element
Algorithm for partial ordering of events and detecting causality in distributed systems
sending process's logical clock. A vector clock of a system of n processes is a vector (equivalently, a 1-dimensional array) of n logical clocks, one clock
Vector_clock
Hypothesis that reality could be a computer simulation
plot device in many stories and films, such as Simulacron-3 (1964), The Matrix (1999), and The Thirteenth Floor (1999). Human history is full of thinkers
Simulation_hypothesis
Type of error correction in quantum computing
that can protect a logical qubit from any arbitrary single qubit error. In this code, 5 physical qubits are used to encode the logical qubit. With X {\displaystyle
Five-qubit error correcting code
Five-qubit_error_correcting_code
Code for quantum correction
Steane code encodes one logical qubit in 7 physical qubits and is able to correct arbitrary single qubit errors. Its check matrix in standard form is [
Steane_code
Constructed human language based on predicate logic
Lojban (pronounced [ˈloʒban] ) is a logical, constructed human language created by the Logical Language Group, which aims to be syntactically unambiguous
Lojban
"not". ∨ (descending wedge) 1. Denotes logical disjunction, and is read as "or". If E and F are logical predicates, E ∨ F {\displaystyle E\lor F} is
Glossary of mathematical symbols
Glossary_of_mathematical_symbols
Computer software environment with own programming language
support is provided for logical values, relational operators (the Fortran syntax can be used) and logical expressions. Logical values are stored actually
Speakeasy (computational environment)
Speakeasy_(computational_environment)
Computer storage-device driver
have been renamed since the first version. Until 2010 it contains AHCI and Matrix RAID modes. The first mode is the Intel driver SATA normal and the latter
Intel Rapid Storage Technology
Intel_Rapid_Storage_Technology
Topics referred to by the same term
refer to: Left shift (medicine), a medical term similar to blood shift Logical left shift, a computer operation Arithmetic left shift, a computer operation
Left_shift
Kind of proof calculus
and proof theory, natural deduction is a kind of proof calculus in which logical reasoning is expressed by inference rules closely related to the "natural"
Natural_deduction
Branch of logic
on them. Compound propositions are formed by connecting propositions by logical connectives representing the truth functions of conjunction, disjunction
Propositional_logic
Topics referred to by the same term
capable of extracting water from air Generator (mathematics) Generator matrix, a matrix used in coding theory Generator (category theory) of a category, in
Generator
1995 edition of the Fortran programming language standard
There are only two basic values of logical constants: .TRUE. and .FALSE.. Here, there may also be different kinds. Logicals don't have their own kind inquiry
Fortran_95_language_features
Process in quantum computing
{\displaystyle k} logical bits into n {\displaystyle n} physical bits with code distance d {\displaystyle d} ; that is, any logical operation requires
Quantum_error_correction
Collection of electronic switches arranged in a matrix
telecommunications, a crossbar switch (cross-point switch, matrix switch) is a collection of switches arranged in a matrix configuration. A crossbar switch has multiple
Crossbar_switch
of a logical path through one or many decisions from start to end of a process. Contradictory situations are deduced from the test case matrix and excluded
Elementary_comparison_testing
Finite field of two elements
follows that GF(2) is fundamental and ubiquitous in computer science and its logical foundations. GF(2) is the unique field with two elements. Its additive
GF(2)
Symbols representing logical operations
F and F to T, this last one corresponding to the familiar operation of logical negation. In the form of a table, the four unary truth functions may be
Logic_alphabet
Enterprise security architecture
developed, going through the definition of the conceptual architecture, logical services architecture, physical infrastructure architecture and finally
Sherwood Applied Business Security Architecture
Sherwood_Applied_Business_Security_Architecture
Example of a Semigroup
RO2, the right zero semigroup of order two. ({0,1}, ∧) (where "∧" is the logical connective "and"), or equivalently the set {0,1} under multiplication:
Semigroup_with_two_elements
2-D grid of wires where data is represented by the presence or absence of diodes at nodes
electronics, a diode matrix is a two-dimensional grid of wires, with diodes connecting at selected intersections. A single row of the diode matrix is activated
Diode_matrix
Topics referred to by the same term
characteristics and key events of human existence Material conditional, a logical connective used to form "if...then..." statements Necessary and sufficient
Condition
Computer device interface
Controller Interface (AHCI) at the logical interface level, SATA Express also supports NVM Express (NVMe) as the logical device interface for attached PCI
SATA_Express
Bone graft with inorganic mineral removed
Demineralized bone matrix (DBM) is allograft bone that has had the inorganic mineral removed, leaving behind the organic "collagen" matrix. It was first discovered
Demineralized_bone_matrix
Property of operations
determinant of an idempotent matrix is either 0 or 1. If the determinant is 1, the matrix necessarily is the identity matrix. In the monoid ( E E , ∘ )
Idempotence
Moore–Penrose inverse, the most widely known generalization of the inverse matrix in particular linear algebra Penrose graphical notation, a visual depiction
List of things named after Roger Penrose
List_of_things_named_after_Roger_Penrose
Implementation of logical volume manager for Microsoft Windows NT
The Logical Disk Manager (LDM) is an implementation of a logical volume manager for Microsoft Windows NT, developed by Microsoft and Veritas Software.
Logical_Disk_Manager
Useful connection between topics
relevance appears to be difficult or impossible to capture within conventional logical systems. The obvious suggestion that q is relevant to p if q is implied
Relevance
Electronic device display
PenTile matrix is a family of patented subpixel matrix schemes used in electronic device displays. PenTile is a trademark of Samsung. PenTile matrices
PenTile_matrix_family
Technique in natural language processing
(LSI). LSA can use a document-term matrix which describes the occurrences of terms in documents; it is a sparse matrix whose rows correspond to terms and
Latent_semantic_analysis
Topics referred to by the same term
effect of European Union law Logical equivalence, where two statements are logically equivalent if they have the same logical content Material equivalence
Equivalence
Quantum error correction code
Just as a classical linear block code can be defined by its parity-check matrix, a quantum stabilizer code also has a "parity check" structure defined by
Stabilizer_code
Waterfall based systems analysis method
specification which in turn is made up of user role/function matrix function definitions required logical data model entity life-histories effect correspondence
Structured systems analysis and design method
Structured_systems_analysis_and_design_method
Mathematical set formed from two given sets
II.34– E II.38. Kulik, B.; Fridman, A. (2022). Complicated Methods of Logical Analysis Based on Simple Mathematics. Cambridge Scholars Publishing.
Cartesian_product
Algorithm for modelling sequential data
linearly scaling fast weight controller (1992) learns to compute a weight matrix for further processing depending on the input. One of its two networks has
Transformer_(deep_learning)
cross product) 1902 J. Willard Gibbs ∨ logical disjunction (a.k.a. OR) 1906 Bertrand Russell (...) [...] matrix notation 1909 Maxime Bôcher Gerhard Kowalewski
Table of mathematical symbols by introduction date
Table_of_mathematical_symbols_by_introduction_date
Axiom in Russell's ramified theory of types
this doctrine. The totality of all logical objects, or of all propositions, involves, it would seem a fundamental logical difficulty. What the complete solution
Axiom_of_reducibility
Quantum error correcting code
Gottesman–Kitaev–Preskill (GKP) code is a quantum error correcting code that encodes logical qubits into the continuous degrees of freedom of a quantum system. It is
Gottesman–Kitaev–Preskill code
Gottesman–Kitaev–Preskill_code
LOGICAL MATRIX
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