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Model of logic based on matrix algebra
Vector logic is an algebraic model of elementary logic based on matrix algebra. Vector logic assumes that the truth values map on vectors, and that the
Vector_logic
A vector signal analyzer is an instrument that measures the magnitude and phase of the input signal at a single frequency within the IF bandwidth of the
Vector_signal_analyzer
Algebraic manipulation of "true" and "false"
algebra List of Boolean algebra topics Logic design Principia Mathematica Three-valued logic Łukasiewicz logic Vector logic Not all search engines support the
Boolean_algebra
System for reasoning about vagueness
element Noise-based logic Paraconsistent logic Rough set Sorites paradox Trinary logic Type-2 fuzzy sets and systems Vector logic Novák, V.; Perfilieva
Fuzzy_logic
Theory of logic to account for observations from quantum theory
In the mathematical study of logic and the physical analysis of quantum foundations, quantum logic is a set of rules for manipulation of propositions
Quantum_logic
Study of correct reasoning
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical
Logic
Hardware description language
9-value logic types: scalar std_logic and its vector version std_logic_vector. Being a resolved subtype of its std_Ulogic parent type, std_logic-typed signals
VHDL
Resource-sensitive logic allowing each assumption to be used at most once
linear logic, which characterizes linear logic in terms of linear algebra; here he alludes to affine transformations on vector spaces. Affine logic predated
Affine_logic
Calculus of vector-valued functions
Vector calculus or vector analysis is a branch of mathematics concerned with the differentiation and integration of vector fields, primarily in three-dimensional
Vector_calculus
Hardware description language (VHDL) library package for use in electronic circuit design
defined for VHDL. It provides arithmetic functions for vectors. Overrides of std_logic_vector are defined for signed and unsigned arithmetic. It defines
Numeric_std
Basic circuit in quantum computing
operate on vector spaces of one or two qubits, just like the common classical logic gates operate on one or two bits. Even though the quantum logic gates belong
Quantum_logic_gate
American software company
company with over 500 employees that was acquired by Vector Capital in October 2020. MarkLogic was originally named Cerisent when it was founded in 2001
MarkLogic
American cancer biologist
tumors in mice, while leaving healthy brain tissue alone. He also founded VectorLogics, Inc. in order to develop products to treat ovarian cancer. In 2004,
David_T._Curiel
Concept in psychology
2014.02.005. Mizraji, E. (2021). "Vector logic allows counterfactual virtualization by the square root of NOT". Logic Journal of IGPL. 29 (5): 859–870
Counterfactual_thinking
algorithm Logic learning machine Logistic regression Naive Bayes classifier Relevance vector machine RIPPER Structured kNN Support vector machine Winnow
List of artificial intelligence algorithms
List_of_artificial_intelligence_algorithms
Computational approach
50-dimensional vector corresponding to odor receptor neuron types. The HD representation uses ~2,000-dimensions. HDC algebra reveals the logic of how and
Hyperdimensional_computing
Matrix of binary truth values
Journal of Symbolic Logic. 13 (4): 193–203. doi:10.2307/2267134. JSTOR 2267134. Schmidt, Gunther (2013). "6: Relations and Vectors". Relational Mathematics
Logical_matrix
Notation for quantum states
mathematical notation for linear algebra and linear operators on complex vector spaces together with their dual spaces both in the finite- and infinite-dimensional
Bra–ket_notation
Mapping of mathematical formulas to a particular meaning
that generalize the algebraic structures such as groups, rings, fields and vector spaces. The term universal algebra is used for structures of first-order
Structure (mathematical logic)
Structure_(mathematical_logic)
System of resource-aware logic
Linear logic is a substructural logic proposed by French logician Jean-Yves Girard as a refinement of classical and intuitionistic logic, joining the
Linear_logic
Computer processor which works on arrays of several numbers at once
one-dimensional arrays of data called vectors. When integrated as a hardware component the vector processor is often called a vector processing unit (VPU). This
Vector_processor
Electronic design automation method
relies on logic simulation to compute good machine results, and fault simulation to calculate the fault coverage of the generated vectors. Wavelet Automatic
Automatic test pattern generation
Automatic_test_pattern_generation
Supercomputer manufactured by Cray Research
system. The Cray-1 was the first supercomputer to successfully implement the vector processor design. These systems improve the performance of math operations
Cray-1
True when either but not both inputs are true
(conjunction) and ∨ {\displaystyle \lor } (disjunction) are very useful in logic systems, they fail a more generalizable structure in the following way:
Exclusive_or
Combinational digital circuit
In computing, an arithmetic logic unit (ALU) is a combinational digital circuit that performs arithmetic and bitwise operations on integer binary numbers
Arithmetic_logic_unit
Line or vector perpendicular to a curve or a surface
In geometry, a normal is an object (e.g. a line, ray, or vector) that is perpendicular to a given object. For example, the normal line to a plane curve
Normal_(geometry)
Topics referred to by the same term
one set to another in set theory Material implication in logic Morphism in category theory Vector (geometric) in physics and mathematics Conway chained arrow
→
SIMD instruction set extension for the PowerPC ISA
The "vector" type keyword is introduced to permit the declaration of native vector types, e.g., vector unsigned char foo; declares a 128-bit vector variable
AltiVec
Any logic with four truth values
A four-valued logic is any logic with four truth values. Several types of four-valued logic have been advanced. The most common, particularly in electronics
Four-valued_logic
Mathematical proposition equivalent to the axiom of choice
the Hahn–Banach theorem in functional analysis, the theorem that every vector space has a basis, Tychonoff's theorem in topology stating that every product
Zorn's_lemma
Topics referred to by the same term
tensor analysis), a generalization of vector calculus that encompasses tensor fields Vector calculus (also called vector analysis), comprising specialized
Calculus_(disambiguation)
Large or very powerful object in programming
handling game logic, rendering, reading input and file I/O. import std; using std::string; using std::vector; class GameManager { private: vector<string> players;
God_object
Hungarian-American mathematician (1916–2006)
probabilist who made fundamental advances in the areas of mathematical logic, probability theory, operator theory, ergodic theory, and functional analysis
Paul_Halmos
GIS analysis operation on vector data
Vector overlay is an operation (or class of operations) in a geographic information system (GIS) for integrating two or more vector spatial data sets
Vector_overlay
Process by which a quantum system takes on a definitive state
quantum mechanics, wave function collapse, also called reduction of the state vector, occurs when a wave function—initially in a superposition of several eigenstates—reduces
Wave_function_collapse
Components of a mathematical or logical formula
In mathematical logic, a term is an arrangement of dependent/bound symbols that denotes a mathematical object within an expression/formula. In particular
Term_(logic)
Methods in artificial intelligence research
or logic-based artificial intelligence) is a collection of methods based on high-level symbolic (human-readable) representations of problems, logic, and
Symbolic artificial intelligence
Symbolic_artificial_intelligence
Private company in the Netherlands
that allows users to create and modify fonts using vector-based tools.[citation needed] High-Logic released MainType, a font-management program for Windows
High-Logic
on polynomials Vector calculus (also called vector analysis), comprising specialized notations for multivariable analysis of vectors in an inner-product
List_of_formal_systems
Mainframe computer from DEC
implementing the VAX instruction set architecture (ISA). Equipped with optional vector processors, they were marketed into the supercomputer space as well. As
VAX_9000
Reasoning about equations with free variables
logic, algebraic logic is the reasoning obtained by manipulating equations with free variables. What is now usually called classical algebraic logic focuses
Algebraic_logic
After obtaining the test vectors for grounded pins, each pin is connected in turn to a logic one and another set of test vectors is used to find faults
Stuck-at_fault
General concept and operation in mathematics
algebra duality corresponds in this way to bilinear maps from pairs of vector spaces to scalars, the duality between distributions and the associated
Duality_(mathematics)
Form of conditionals in computer programming
predication, applying one bit of a conditional mask vector to the corresponding elements in the vector registers being processed, whereas scalar predication
Predication (computer architecture)
Predication_(computer_architecture)
Logical formulation of recursion
In mathematical logic, fixed-point logics are extensions of classical predicate logic that have been introduced to express recursion. Their development
Fixed-point_logic
Array of numbers
row are called row matrices or row vectors, and those with a single column are called column matrices or column vectors. A matrix with the same number of
Matrix_(mathematics)
Computer processor by Xilinx
std_logic_vector(9 downto 0); instruction : in std_logic_vector(17 downto 0); port_id : out std_logic_vector(7 downto 0); write_strobe : out std_logic; out_port
PicoBlaze
Description of non-logical symbols
the signature and the logic can be kept single-sorted, with vectors being the only sort. In the context of first-order logic, the symbols in a signature
Signature_(logic)
Geometric property of a pair of sets of points in Euclidean geometry
}z+k=0\right\}} , where w ∈ R d {\displaystyle w\in \mathbb {R} ^{d}} is the normal vector to the hyperplane and k ∈ R {\displaystyle k\in \mathbb {R} } is a scalar
Linear_separability
Subset of artificial intelligence
colleagues introduced word2vec, techniques for efficiently learning distributed vector representations of words from large text corpora. In 2014, Ian Goodfellow
Machine_learning
Instruction set extension by Intel
AVX-512 are 512-bit extensions to the 256-bit Advanced Vector Extensions SIMD instructions for x86 instruction set architecture (ISA) proposed by Intel
AVX-512
Circuit that performs subtraction
The half subtractors can be designed through the combinational Boolean logic circuits [2] as shown in Figure 1 and 2. The half subtractor is a combinational
Subtractor
Type of data structure
"matrices". In some cases the term "vector" is used in computing to refer to an array, although tuples rather than vectors are the more mathematically correct
Array_(data_structure)
Function returning one of only two values
computer science literature, and truth function (or logical function), used in logic. Boolean functions are the subject of Boolean algebra and switching theory
Boolean_function
Mathematical function conceived as a crude model
threshold function has inspired building logic gates referred to as threshold logic; applicable to building logic circuits resembling brain processing. For
Artificial_neuron
Mathematical statement which always holds true
inequality, or between formulas themselves, for instance, in mathematical logic. For example, the formula a 2 ≥ 0 {\displaystyle a^{2}\geq 0} is true for
Law_(mathematics)
DFT – discrete Fourier transform. dim – dimension of a vector space. div – divergence of a vector field. DNE – a solution for an expression does not exist
List of mathematical abbreviations
List_of_mathematical_abbreviations
Digital circuit that produces sums from inputs
computers and other kinds of processors, adders are used in the arithmetic logic units (ALUs). They are also used in other parts of the processor, where
Adder_(electronics)
Statement that is taken to be true
well-established, that it is accepted without controversy or question. In modern logic, an axiom is a premise or starting point for reasoning. In mathematics,
Axiom
Use of a fluid to perform analog or digital operations
Fluidics, or fluidic logic, is the use of a fluid to perform analog or digital operations similar to those performed with electronics. The physical basis
Fluidics
Symbol connecting formulas in logic
In logic, a logical connective (also called a logical operator, sentential connective, or sentential operator) is an operator that combines or modifies
Logical_connective
Mathematical theory of data types
In mathematical logic, and theoretical computer science, type theory is the study of formal systems that classify expressions or mathematical objects
Type_theory
Basic unit of quantum information
be viewed as a 2-dimensional complex vector, which is called a quantum state vector, or superposition state vector. Alternatively and equivalently, the
Qubit
which generalizes into higher dimensions. Vector analysis also known as vector calculus, see vector calculus. Vector calculus a branch of multivariable calculus
Glossary of areas of mathematics
Glossary_of_areas_of_mathematics
Programmable logic device design software by Intel
VHDL and Verilog for hardware description, visual editing of logic circuits, and vector waveform simulation. Quartus Prime software features include:
Quartus_Prime
Array data structure that compactly stores bits
A bit array (also known as bit map, bit set, bit string, or bit vector) is an array data structure that compactly stores bits. It can be used to implement
Bit_array
American electrical engineer (born 1984)
proposing MESO magneto-electric spin-orbit devices, an experimental beyond-CMOS logic technology combining Multiferroics and spin-orbit coupling to achieve ultra-low
Sasikanth_Manipatruni
Method of logical reasoning
Schaum's Outlines, Logic, Second Edition. John Nolt, Dennis Rohatyn, Archille Varzi. McGraw-Hill, 1998. p. 223 Schaum's Outlines, Logic, p. 230 Johnson,
Inductive_reasoning
American mathematician (1948–2017)
(1978). "Major Subspaces of Recursively Enumerable Vector Spaces". The Journal of Symbolic Logic. 43 (2): 293–303. doi:10.2307/2272828. ISSN 0022-4812
Jeffrey_B._Remmel
Central processing unit by Sony Computer Entertainment and Toshiba
specific task, integrated onto the same die. These units are: a CPU core, two Vector Processing Units (VPU), a 10-channel DMA unit, a memory controller, and
Emotion_Engine
Game where groups of players may enforce cooperative behaviour
stability: No payoff vector in the stable set is dominated by another vector in the set. External stability: All payoff vectors outside the set are dominated
Cooperative_game_theory
Fictional classification of mutant appearing in Marvel Comics
Comics for writers to play, challenge and redefine; encouraging the kind of 'logic puzzle' on which superhero stories thrives. In Deadpool & Wolverine, Cassandra
Omega-level_mutants
Miniprocessor chip set
devices implemented the VAX vector processor option; these comprised the DC555 Vector Register set chip (VERSE) and the DC556 Vector Data Path chip (FAVOR)
Rigel_(microprocessor)
Order theory
Specialization preorder Ordered topological vector space Normal cone Order topology Order topology Topological vector lattice Banach Fréchet Locally convex
Centered_set
Vector graphics using a relative cursor on a Cartesian plane
In computer graphics, turtle graphics are vector graphics using a relative cursor (the "turtle") upon a Cartesian plane (x and y axis). Turtle graphics
Turtle_graphics
Overview of and topical guide to machine learning
methods for vector output Kernel principal component analysis Learning vector quantization Leabra Linde–Buzo–Gray algorithm Local outlier factor Logic learning
Outline_of_machine_learning
This is a list of topics around Boolean algebra and propositional logic. Algebra of sets Boolean algebra (structure) Boolean algebra Field of sets Logical
List of Boolean algebra topics
List_of_Boolean_algebra_topics
Mathematical modeling language
A vector addition system (VAS) is one of several mathematical modeling languages for the description of distributed systems. Vector addition systems were
Vector_addition_system
in evaluating technological processes. It is generally represented as a vector of components, with the special case of uni-dimensional value as a synthetic
Quality_of_results
Topics referred to by the same term
Homological algebra Algebra over a field, or algebra, a vector space equipped with a bilinear vector product. In ring theory and linear algebra: Algebra over
Algebra_(disambiguation)
Study of discrete mathematical structures
studied in discrete mathematics include integers, graphs, and statements in logic. By contrast, discrete mathematics excludes topics in "continuous mathematics"
Discrete_mathematics
Well-quasi-ordering of finite trees
foundations of mathematics: essays in honor of Solomon Feferman. Lecture notes in logic. Vol. 15. Natick, Mass: AK Peters. pp. 60–91. ISBN 978-1-56881-170-3. MR 1943303
Kruskal's_tree_theorem
Interactive theorem prover software
In computer science and mathematical logic, a proof assistant or interactive theorem prover is a software tool to assist with the development of formal
Proof_assistant
Organochloride known as an insecticide
within WHO guidelines from the ban. DDT still has limited use in disease vector control because of its effectiveness in killing mosquitos and thus reducing
DDT
Class of multivalued deterministic logic schemes
The logic values are represented by multi-dimensional "vectors" (orthogonal functions) and their superposition, where the orthogonal basis vectors are
Noise-based_logic
IC design techniques that include testability features
failure. In other words, the response of vectors (patterns) from a good circuit is compared with the response of vectors (using the same patterns) from a DUT
Design_for_testing
Type of computer instructions
optional vector facility to the System/370-XA and Enterprise Systems Architecture/370 instruction sets. In addition to integer and floating-point vector arithmetic
Bit_manipulation_instructions
Type of statistical inference
In logic, statistical inference, and supervised learning, transduction or transductive inference is reasoning from observed, specific (training) cases
Transduction (machine learning)
Transduction_(machine_learning)
Design for testing technique for integrated circuits
vectors to detect a particular fault through the space of all possible vector sequences. Even a simple stuck-at fault requires a sequence of vectors for
Scan_chain
(mathematical logic) Conservativity theorem (mathematical logic) Craig's theorem (mathematical logic) Craig's interpolation theorem (mathematical logic) Cut-elimination
List_of_theorems
Cloud-based data-warehousing company
embedded into the platform. Cortex includes access to large language models, vector search, and model deployment capabilities, allowing users to build AI-powered
Snowflake_Inc.
Mathematical term; concerning axioms used to derive theorems
In mathematics and logic, an axiomatic system or axiom system is a standard type of deductive logical structure, used also in theoretical computer science
Axiomatic_system
Hypersurface used by a classification algorithm
boundary or decision surface is a hypersurface that partitions the underlying vector space into two sets, one for each class. The classifier will classify all
Decision_boundary
Look up Appendix:Glossary of logic in Wiktionary, the free dictionary. This is a glossary of logic. Logic is the study of the principles of valid reasoning
Glossary_of_logic
Symbol representing a mathematical object
functions, their arguments, sets and their elements, vectors, spaces, etc. In mathematical logic, a variable is a symbol that either represents an unspecified
Variable_(mathematics)
Species of bacterium
can be switched on or off by OC-6, listen for OC-12, and depending on the logic, produce OHC-14. The OHC-14 acts as a signal to the relay strains which
Pantoea_agglomerans
Field-programmable semiconductor devices
Programmable Array Logic (PAL) is a family of programmable logic device semiconductors used to implement logic functions in digital circuits that was
Programmable_Array_Logic
Algorithm in computational number theory
first basis vector is no more than c 1 {\displaystyle c_{1}} times as long as a shortest vector in the lattice, the second basis vector is likewise within
Lenstra–Lenstra–Lovász lattice basis reduction algorithm
Lenstra–Lenstra–Lovász_lattice_basis_reduction_algorithm
2009 Hidden Path Entertainment Blazing Birds Xbox Live Arcade May 20, 2009 Vector 2 Games Trials HD Xbox Live Arcade August 12, 2009 RedLynx Shadow Complex
List of Xbox Game Studios video games
List_of_Xbox_Game_Studios_video_games
Tool to track locally defined data attached to the open sets of a topological space
complex-valued) functions, bounded real-valued functions, vector fields, and sections of any vector bundle on the space. The ability to restrict data to smaller
Sheaf_(mathematics)
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