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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
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
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
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
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
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
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
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
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
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
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)
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)
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
component analysis Learning vector quantization Leabra Linde–Buzo–Gray algorithm Lloyd's algorithm Local outlier factor Logic learning machine LogitBoost
List of artificial intelligence algorithms
List_of_artificial_intelligence_algorithms
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
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
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
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
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
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
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)
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
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
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
1972 book by Deleuze and Guattari
from much of Deleuze's prior thinking in Difference and Repetition and The Logic of Sense that utilized Nietzsche's ideas to explore a radical conception
Anti-Oedipus
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
True when either but not both inputs are true
disjunction of two n-bit strings is identical to the standard vector of addition in the vector space ( Z / 2 Z ) n {\displaystyle (\mathbb {Z} /2\mathbb {Z}
Exclusive_or
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)
Hardware cache of a central processing unit
). A22-6916-1. Chen, Allan, "The 486 CPU: ON A High-Performance Flight Vector", Intel Corporation, Microcomputer Solutions, November/December 1990, p
CPU_cache
Error in statistical reasoning with groups
2-dimensional vector space. A success rate of p q {\textstyle {\frac {p}{q}}} (i.e., successes/attempts) can be represented by a vector A → = ( q , p
Simpson's_paradox
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
Electronic devices that generate electronic signals
custom waveforms and download them into the vector signal generator to create the desired test signal. A logic signal generator or data pattern generator
Signal_generator
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
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)
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
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)
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
Topics referred to by the same term
representing a material implication in logic →, representing morphism in category theory →, representing a vector in physics and mathematics the relative
→
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
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
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
Case in parallel computing
and c. Automatic vectorization is a major research topic in computer science.[citation needed] Early computers usually had one logic unit, which executed
Automatic_vectorization
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
Security issue for web applications
pointing to a trusted site but containing the XSS vector. If the trusted site is vulnerable to the vector, clicking the link can cause the victim's browser
Cross-site_scripting
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)
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
Joining of strings in a programming language
conversion to strings and distinguishing numeric array/list concatenation from vector addition, depending on the language. string literal concatenation, which
Concatenation
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
Subset of artificial intelligence
compressor C(.) we define an associated vector space ℵ, such that C(.) maps an input string x, corresponding to the vector norm ||~x||. An exhaustive examination
Machine_learning
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
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
Methods in artificial intelligence research
first-order logic have been used to represent sentence meanings. Latent semantic analysis (LSA) and explicit semantic analysis also provided vector representations
Symbolic artificial intelligence
Symbolic_artificial_intelligence
and Scala. Word2vec – obtaining vector representations of words CMU Sphinx DeepSpeech Julius Whisper GOLOG – logic programming language, situation calculus
Lists of open-source artificial intelligence software
Lists_of_open-source_artificial_intelligence_software
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
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)
Field of knowledge
rather than by experiment. The relationship between mathematical truth, logic, and reality is a subject of philosophical debate. Some areas of mathematics
Mathematics
Vector graphics editor
like logic-gate symbols or DOT pictograms. More libraries can be added as needed. Inkscape supports image tracing, the process of extracting vector graphics
Inkscape
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
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
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
Mathematical notion of infinitesimal difference
vector space. The case of the Real line is the easiest to explain. This type of differential is also known as a covariant vector or cotangent vector,
Differential_(mathematics)
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
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 the Marvel Cinematic Universe
Omega-level_mutants
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
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
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
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)
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
(mathematical logic) Conservativity theorem (mathematical logic) Craig's theorem (mathematical logic) Craig's interpolation theorem (mathematical logic) Cut-elimination
List_of_theorems
Computer that uses ternary logic
build ternary logic gates. Ternary quantum computers use qutrits rather than trits. A qutrit is a quantum state that is a complex unit vector in three dimensions
Ternary_computer
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
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
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
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
Dialect of Lisp
43: vector library 45: primitives for expressing iterative lazy algorithms 60: integers as bits 61: a more general cond clause 66: octet vectors 67: compare
Scheme_(programming_language)
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)
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
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
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
Quantum field theory enjoying conformal symmetry
T_{\mu \nu }\xi ^{\nu }} where ξ ν {\displaystyle \xi ^{\nu }} is a Killing vector and T μ ν {\displaystyle T_{\mu \nu }} is a conserved operator (the stress-tensor)
Conformal_field_theory
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
Formulation of classical mechanics
point particles with masses m1, m2, ..., mN, each particle has a position vector, denoted r1, r2, ..., rN. Cartesian coordinates are often sufficient, so
Lagrangian_mechanics
Japanese tobacco company
employer for the third year in a row. In that same year, JTI purchased Vector Group for 2.4 billion U.S. Dollars. Previously, JTI operated outside of
Japan_Tobacco_International
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
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
Collection of mathematical objects
), the real numbers ( R {\displaystyle \mathbb {R} } ), nonzero real vector spaces, curves, and most other mathematical spaces. Extensionality implies
Set_(mathematics)
Types of approximate algorithm
Vojislav (2001). Learning and Soft Computing: Support Vector Machines, Neural Networks, and Fuzzy Logic Models. MIT Press. ISBN 978-0-262-11255-0. Chaturvedi
Soft_computing
elimination. These logics have fewer inference rules than classical logic. On the other hand, classical logic was a first-order logic, which means roughly
Philosophy_of_mathematics
Type of category in mathematics
the vector space of linear maps from one vector space to another. The internal language of closed symmetric monoidal categories is linear logic and the
Closed_monoidal_category
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)
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.
Graphical symbol or pictogram used to point or indicate direction
quantum theory of electron spin uses either upward or downward arrows. A vector may be denoted with an overhead arrow, such as in x → {\displaystyle {\vec
Arrow_(symbol)
Smallest transitive relation containing a given binary relation
model theory, first-order logic (FO) extended with a transitive closure operator is usually called transitive closure logic, and abbreviated FO(TC) or
Transitive_closure
Mathematical set with some added structure
intuitionistic logic. In addition to providing a powerful way to apply tools from logic to geometry, this made possible the use of geometric methods in logic. According
Space_(mathematics)
Branch of mathematics
noun, an algebra is a specific type of algebraic structure that involves a vector space equipped with a certain type of binary operation, a bilinear map.
Algebra
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
VECTOR LOGIC
VECTOR LOGIC
Male
English
 Anglicized form of Scottish Gaelic Eachann, HECTOR means "brown horse." Compare with another form of Hector.
Male
English
Roman Latin name VICTOR means "conqueror."Â
Boy/Male
Spanish
Victor.
Boy/Male
American, British, Christian, Danish, Dutch, English, Finnish, French, German, Greek, Hindu, Indian, Irish, Jamaican, Latin, Romanian, Slovenia, Spanish, Swedish, Swiss, Tamil, Ukrainian
Victorious; Conqueror; Winner; Champion; One who Conquers; Victory
Male
Portuguese
Portuguese form of Latin Hector, HEITOR means "defend; hold fast."
Boy/Male
Christian & English(British/American/Australian)
Conqueror
Boy/Male
Spanish American Shakespearean Greek Latin
Tenacious.
Male
Russian
(Cyrillic Виктор): Slavic form of Roman Latin Victor, VIKTOR means "conqueror." In use by the Bulgarians, Russians and Serbians. Compare with another form of Viktor.
Boy/Male
Australian, Basque, Czech, Czechoslovakian, Danish, Finnish, French, German, Hungarian, Latin, Polish, Slovenia, Swedish, Swiss, Ukrainian
The Conqueror; Victory; Victorious; Conquer
Surname or Lastname
Scottish
Scottish : Anglicized form of the Gaelic personal name Eachann (earlier Eachdonn, already confused with Norse Haakon), composed of the elements each ‘horse’ + donn ‘brown’.English : found in Yorkshire and Scotland, where it may derive directly from the medieval personal name. According to medieval legend, Britain derived its name from being founded by Brutus, a Trojan exile, and Hector was occasionally chosen as a personal name, as it was the name of the Trojan king’s eldest son. The classical Greek name, HektÅr, is probably an agent derivative of Greek ekhein ‘to hold back’, ‘hold in check’, hence ‘protector of the city’.German, French, and Dutch : from the personal name (see 2 above). In medieval Germany, this was a fairly popular personal name among the nobility, derived from classical literature. It is a comparatively rare surname in France.
Boy/Male
English American
Doctor; teacher.
Male
Arthurian
, sir Hector de Maris; (defender).
Male
Scandinavian
 Scandinavian form of Roman Latin Victor, VIKTOR means "conqueror." Compare with another form of Viktor.
Male
English
Short form of English Sylvester, VESTER means "from the forest."
Male
Portuguese
Galician-Portuguese form of Roman Latin Victor, VITOR means "conqueror."
Male
Greek
(á¼ÎºÏ„ωÏ) Variant spelling of Greek Hektor, EKTOR means "defend; hold fast."
Boy/Male
Latin American Spanish
Conqueror.
Boy/Male
Arthurian Legend
Father of Arthur.
Boy/Male
American, Australian, British, Chinese, Christian, Danish, Dutch, English, French, German, Greek, Italian, Latin, Portuguese, Shakespearean, Spanish
Steadfast; Anchor; Holds Fast; Star; Coined from Esther Vanhomrigh; Tenacious; Defend; Hold Fast; Coined from Esther Vanho
Boy/Male
Christian & English(British/American/Australian)
Steadfast
VECTOR LOGIC
VECTOR LOGIC
Girl/Female
Latin
From Arcanania.
Girl/Female
Arabic, Muslim
Victorious; Successful; Triumphant
Boy/Male
Muslim/Islamic
A Garden an inhabited town
Boy/Male
Spanish
Is an abbreviation of names like Amalia: (hard working;industrious) and Rosalia:.
Girl/Female
Latin American
Graced with God's bounty.
Boy/Male
Celtic Gaelic American Scottish English
Dark stranger.
Female
French
French form of Latin Dorothea, DOROTHÉE means "gift of God."
Boy/Male
Hindu, Indian, Marathi
Protecting Well
Girl/Female
German, Latin
Cheerful
Girl/Female
Muslim/Islamic
Beautiful one
VECTOR LOGIC
VECTOR LOGIC
VECTOR LOGIC
VECTOR LOGIC
VECTOR LOGIC
n.
The province of a rector; a parish church, parsonage, or spiritual living, with all its rights, tithes, and glebes.
n.
A woman who wins a victory; a female victor.
n.
The turning factor of a quaternion.
n.
A contrivance for removing superfluous ink or coloring matter from a roller. See Doctor, 4.
n.
An astronomical instrument, the limb of which embraces a small portion only of a circle, used for measuring differences of declination too great for the compass of a micrometer. When it is used for measuring zenith distances of stars, it is called a zenith sector.
n.
Same as Radius vector.
n.
A term made up of the two parts / + /1 /-1, where / and /1 are vectors.
v. t.
To tamper with and arrange for one's own purposes; to falsify; to adulterate; as, to doctor election returns; to doctor whisky.
a.
Of or pertaining to victory, or a victor' being a victor; bringing or causing a victory; conquering; winning; triumphant; as, a victorious general; victorious troops; a victorious day.
n.
A pregnant woman; a mother; as, A has a son B by one venter, and a daughter C by another venter; children by different venters.
n.
The ratio of one vector to another in length, no regard being had to the direction of the two vectors; -- so called because considered as a stretching factor in changing one vector into another. See Versor.
n.
An African weaver bird (Textor alector).
v. t.
To confer a doctorate upon; to make a doctor.
a.
Pertaining to a rector or a rectory; rectoral.
n.
A directed quantity, as a straight line, a force, or a velocity. Vectors are said to be equal when their directions are the same their magnitudes equal. Cf. Scalar.
n.
A belly, or protuberant part; a broad surface; as, the venter of a muscle; the venter, or anterior surface, of the scapula.
n.
The chief elective officer of some universities, as in France and Scotland; sometimes, the head of a college; as, the Rector of Exeter College, or of Lincoln College, at Oxford.
n.
Any mechanical contrivance intended to remedy a difficulty or serve some purpose in an exigency; as, the doctor of a calico-printing machine, which is a knife to remove superfluous coloring matter; the doctor, or auxiliary engine, called also donkey engine.
n.
A mathematical instrument, consisting of two rulers connected at one end by a joint, each arm marked with several scales, as of equal parts, chords, sines, tangents, etc., one scale of each kind on each arm, and all on lines radiating from the common center of motion. The sector is used for plotting, etc., to any scale.
v. t.
To treat as a physician does; to apply remedies to; to repair; as, to doctor a sick man or a broken cart.