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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
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
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
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
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
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
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
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
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
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
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
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
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)
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
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
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
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
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
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
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
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
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)
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
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
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)
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
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
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
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
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
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
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
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
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
CPU architecture designed by Intel
architecture aimed at providing high computing performance with wider integer and vector execution units, wider fetch and increased core frequencies compared to
Lion_Cove
Categorization of data using statistics
score to each possible category k by combining the feature vector of an instance with a vector of weights, using a dot product. The predicted category is
Statistical_classification
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
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
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)
Axiom of set theory
X} contains exactly one element. This can be formalized in first-order logic as: ∀ x ( ∃ e ( e ∈ x ∧ ¬ ∃ y ( y ∈ e ) ) ∨ ∃ a ∃ b ∃ c ( a ∈ x ∧ b ∈ x
Axiom_of_choice
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
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 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)
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
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
Application of mathematical methods to other fields
mathematical modelling in a scientific discipline. Computer science relies on logic, algebra, discrete mathematics such as graph theory, and combinatorics.
Applied_mathematics
Concept from mathematical logic
In model theory—a branch of mathematical logic—a minimal structure is an infinite one-sorted structure such that every subset of its domain that is definable
Strongly_minimal_theory
Branch of mathematics
for medicine and biology. Vector analysis, also called vector calculus, is a branch of mathematical analysis dealing with vector-valued functions. Scalar
Mathematical_analysis
on polynomials Vector calculus (also called vector analysis), comprising specialized notations for multivariable analysis of vectors in an inner-product
List_of_formal_systems
Theorem on extension of bounded linear functionals
allows the extension of bounded linear functionals defined on a vector subspace of some vector space to the whole space. The theorem also shows that there
Hahn–Banach_theorem
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
Computer architecture bit width
(approximately 6.7039×10153). The Intel Xeon Phi has a vector processing unit with 512-bit vector registers, each one holding sixteen 32-bit elements or
512-bit_computing
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
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
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)
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
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)
Model of quantum computing
that HQB(n) is a vector space over the complex numbers of dimension 2n. The elements of this vector space are the possible state-vectors of n-qubit quantum
Quantum_circuit
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
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
(mathematical logic) Conservativity theorem (mathematical logic) Craig's theorem (mathematical logic) Craig's interpolation theorem (mathematical logic) Cut-elimination
List_of_theorems
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
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)
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
Topics referred to by the same term
Look up del or delineavit in Wiktionary, the free dictionary. Del is a vector differential operator represented by the symbol ∇ (nabla). Del or DEL can
Del_(disambiguation)
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
→
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
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
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
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
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
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
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
Energy of a moving physical body
Physics, Section 7-5, Wiley International Edition Brenner, Joseph (2008). Logic in Reality (illustrated ed.). Springer Science & Business Media. p. 93.
Kinetic_energy
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)
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)
2024 AMD 4-nanometer processor microarchitecture
operations can increase per-cycle scalar integer throughput by 50%. The vector engine in Zen 5 features four floating-point pipes compared to three pipes
Zen_5
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
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
Influence that can change motion of an object
magnitude and direction of a force are both important, force is a vector quantity (force vector). The SI unit of force is the newton (N), and force is often
Force
Property of some mathematical operations
trix}}={\begin{bmatrix}0&1\\0&1\end{bmatrix}}} The vector product (or cross product) of two vectors in three dimensions is anti-commutative; i.e., b ×
Commutative_property
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
Order whose elements are all comparable
product of more than two sets. Applied to the vector space Rn, each of these make it an ordered vector space. See also examples of partially ordered sets
Total_order
Situation where total gains match total losses
the u vector must be nonnegative, and the second constraint says each element of the M u vector must be at least 1. For the resulting u vector, the inverse
Zero-sum_game
sets of quantum logic gates are commonly used to express quantum operations. The following tables list several unitary quantum logic gates, together with
List_of_quantum_logic_gates
Topics referred to by the same term
to move surrounding material Field strength, the magnitude of a field's vector Signal strength, in telecommunications Strength (material), the behavior
Strength
CPU that implements instruction-level parallelism within a single processor
processor), but an execution resource within a single CPU such as an arithmetic logic unit. While a superscalar CPU is typically also pipelined, superscalar and
Superscalar_processor
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
Mathematical operation with two operands
scalar multiplication of vector spaces takes a scalar and a vector to produce a vector, and scalar product takes two vectors to produce a scalar. Binary
Binary_operation
Physical quantities taking values at each point in space and time
field or field quantity is a physical quantity – represented by a scalar, vector, spinor, or tensor – that has a value for each point in space and time.
Field_(physics)
Autonomous artificial intelligence agent
models (LLMs). Agent systems may also include memory components, planning logic, tool interfaces, and orchestration software for coordinating agent components
AI_agent
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 operator
include the linear span of a subset of a vector space, the convex hull or affine hull of a subset of a vector space or the lower semicontinuous hull f
Closure_operator
Mathematical set formed from two given sets
=\mathbb {R} \times \mathbb {R} \times \cdots } can be visualized as a vector with countably infinite real number components. This set is frequently denoted
Cartesian_product
Element mapped to itself by a mathematical function
f=f(\operatorname {\mathsf {fix}} f).} In mathematical logic, fixed-point logics are extensions of classical predicate logic that have been introduced to express recursion
Fixed_point_(mathematics)
VECTOR LOGIC
VECTOR LOGIC
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.
Male
Scandinavian
 Scandinavian form of Roman Latin Victor, VIKTOR means "conqueror." Compare with another form of Viktor.
Boy/Male
English American
Doctor; teacher.
Male
Greek
(á¼ÎºÏ„ωÏ) Variant spelling of Greek Hektor, EKTOR means "defend; hold fast."
Boy/Male
Arthurian Legend
Father of Arthur.
Male
English
Short form of English Sylvester, VESTER means "from the forest."
Male
English
Roman Latin name VICTOR means "conqueror."Â
Boy/Male
Spanish
Victor.
Male
Portuguese
Galician-Portuguese form of Roman Latin Victor, VITOR means "conqueror."
Boy/Male
Australian, Basque, Czech, Czechoslovakian, Danish, Finnish, French, German, Hungarian, Latin, Polish, Slovenia, Swedish, Swiss, Ukrainian
The Conqueror; Victory; Victorious; Conquer
Boy/Male
Christian & English(British/American/Australian)
Steadfast
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
Boy/Male
Latin American Spanish
Conqueror.
Boy/Male
Christian & English(British/American/Australian)
Conqueror
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
Spanish American Shakespearean Greek Latin
Tenacious.
Male
Portuguese
Portuguese form of Latin Hector, HEITOR means "defend; hold fast."
Male
Arthurian
, sir Hector de Maris; (defender).
Male
English
 Anglicized form of Scottish Gaelic Eachann, HECTOR means "brown horse." Compare with another form of Hector.
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
VECTOR LOGIC
VECTOR LOGIC
Girl/Female
Indian, Telugu
Bliss
Boy/Male
Australian, Chinese
Victory
Girl/Female
Muslim
Higher position, Esteemed privilege & honor
Surname or Lastname
English (eastern counties)
English (eastern counties) : apparently a variant of German.
Female
Italian
Feminine form of Italian Fiorenzo, FIORENZA means "blossoming."
Boy/Male
Muslim
The expander
Boy/Male
Arabic, Muslim
King of Kings
Girl/Female
Tamil
Manasvini | மநஸà¯à®µà®¿à®¨à¯€
Goddess Durga, Self-respecting, Self-controlled, Wise, Sensible
Boy/Male
Teutonic American English Spanish
Shining friend.
Boy/Male
Tamil
VECTOR LOGIC
VECTOR LOGIC
VECTOR LOGIC
VECTOR LOGIC
VECTOR LOGIC
v. t.
To tamper with and arrange for one's own purposes; to falsify; to adulterate; as, to doctor election returns; to doctor whisky.
v. t.
To confer a doctorate upon; to make a doctor.
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 province of a rector; a parish church, parsonage, or spiritual living, with all its rights, tithes, and glebes.
n.
A contrivance for removing superfluous ink or coloring matter from a roller. See Doctor, 4.
n.
The turning factor of a quaternion.
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 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.
A term made up of the two parts / + /1 /-1, where / and /1 are vectors.
n.
Same as Radius vector.
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.
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.
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.
a.
Pertaining to a rector or a rectory; rectoral.
n.
A woman who wins a victory; a female victor.
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.
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.
An African weaver bird (Textor alector).
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.