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A binary constraint, in mathematical optimization, is a constraint that involves exactly two variables. For example, consider the n-queens problem, where
Binary_constraint
a new one that is easier to solve. The new problem only contains binary constraints; their scopes form a directed acyclic graph. The variables of the
Decomposition method (constraint satisfaction)
Decomposition_method_(constraint_satisfaction)
consistency can also be defined relative to a specific binary constraint: a binary constraint is arc consistent if every value of one variable has a value
Local_consistency
considering specific classes of constraint satisfaction problems. As an example, if the domain is binary and all constraints are binary, establishing satisfiability
Complexity of constraint satisfaction
Complexity_of_constraint_satisfaction
Distributed constraint optimization (DCOP or DisCOP) is the distributed analogue to constraint optimization. A DCOP is a problem in which a group of agents
Distributed constraint optimization
Distributed_constraint_optimization
a constraint satisfaction problem expressing each constraint of the original problem as a variable. Dual problems only contain binary constraints, and
Constraint satisfaction dual problem
Constraint_satisfaction_dual_problem
Computer file encoded in binary form
A binary file is a computer file that is not a text file. The term "binary file" is often used as a term meaning "non-text file". Many binary file formats
Binary_file
consequence of them. Constraint composition operates on a pair of binary constraints ( ( x , y ) , R ) {\displaystyle ((x,y),R)} and ( ( y , z ) , S )
Constraint_inference
Variant of heap data structure
heapsort. A binary heap is defined as a binary tree with two additional constraints: Shape property: a binary heap is a complete binary tree; that is
Binary_heap
Collapsed core of a massive star
stars that have been detected are pulsars or a part of a binary system. Neutron stars in a binary system with a main sequence star can pull in large amounts
Neutron_star
Problem in theoretical computer science
1058–1063. Ullmann, Julian R. (2010), "Bit-vector algorithms for binary constraint satisfaction and subgraph isomorphism", Journal of Experimental Algorithmics
Subgraph_isomorphism_problem
into a binary one. The transformation is similar to that generating the dual problem. The problem is added new variables, one for each constraint of the
Hidden_transformation
Mathematical optimization problem restricted to integers
programming (ILP), in which the objective function and the constraints (other than the integer constraints) are linear. Integer programming is NP-complete (the
Integer_programming
Prefix indicating a power of two
A binary prefix is a unit prefix that indicates a multiple of a unit of measurement by an integer power of two. The most commonly used binary prefixes
Binary_prefix
Algorithms in constraint satisfaction
possible values of x A set of unary constraints R1(x) on variable x that must be satisfied A set of binary constraints R2(x, y) on variables x and y that
AC-3_algorithm
Computer science topic
programming, a bitwise operation operates on a bit string, a bit array or a binary numeral (considered as a bit string) at the level of its individual bits
Bitwise_operation
solution Constraint (mathematics) Constrained optimization — studies optimization problems with constraints Binary constraint — a constraint that involves
List of numerical analysis topics
List_of_numerical_analysis_topics
Method of solving linear programming problems
large term in the constraints themselves. For example the logical constraint z = 0 ⟺ x = y {\displaystyle z=0\iff x=y} where z is binary variable (0 or 1)
Big_M_method
Digital circuit that produces sums from inputs
as in Binary adders, combining two input currents effectively adds those currents together. Within the constraints of the hardware, non-binary signals
Adder_(electronics)
Weighted Constraint Satisfaction Problem (WCSP), also known as Valued Constraint Satisfaction Problem (VCSP), is a generalization of a constraint satisfaction
Weighted constraint satisfaction problem
Weighted_constraint_satisfaction_problem
Relationship between elements of two sets
be defined as a binary relation that meets additional constraints. Binary relations are also heavily used in computer science. A binary relation over sets
Binary_relation
Any characteristic used to classify a phoneme or word
used to classify a phoneme or word. These are often binary or unary conditions which act as constraints in various forms of linguistic analysis. In phonology
Feature_(linguistics)
Computer format for representing real numbers
most common variants are decimal (base 10) and binary (base 2). The latter is commonly known also as binary scaling. Thus, if n fraction digits are stored
Fixed-point_arithmetic
Data structure for Boolean functions
In computer science, a binary decision diagram (BDD) or branching program is a data structure that is used to represent a Boolean function. On a more abstract
Binary_decision_diagram
Technique to solve constraint satisfaction problems
Benhamou and Mohamed Reda Saidi "Reasoning by dominance in Not-Equals binary constraint networks", Laboratoire des Sciences de l'Information et des Systèmes
Interchangeability_algorithm
Combinatorial optimization problem
Quadratic unconstrained binary optimization (QUBO), also known as unconstrained binary quadratic programming (UBQP), is a combinatorial optimization problem
Quadratic unconstrained binary optimization
Quadratic_unconstrained_binary_optimization
Linear error correcting code
contrast, belief propagation on the binary erasure channel is particularly simple where it consists of iterative constraint satisfaction. For example, consider
Low-density_parity-check_code
Problem in combinatorial optimization
problem maximizes a quadratic objective function subject to binary and linear capacity constraints. The problem was introduced by Gallo, Hammer, and Simeone
Knapsack_problem
Basic unit of quantum information
a basic unit of quantum information, the quantum version of the classic binary bit. A qubit can be physically realized with a two-state (or two-level)
Qubit
Signal-processing paradigm that trades precision for volume of measurements
help explain why explicit PSD, rank, or sparsity constraints can become redundant once the number of binary comparisons exceeds a problem-dependent threshold
Sample_abundance
Any algorithm which solves the search problem
linear, binary, and hashing. Linear search algorithms check every record for the one associated with a target key in a linear fashion. Binary, or half-interval
Search_algorithm
Branch of physics describing the motion of objects without considering forces
may also be used. Numerous practical problems in kinematics involve constraints, such as mechanical linkages, ropes, or rolling disks. Kinematics is
Kinematics
Amateur radio communications software
50 bits (binary digits). These are encoded using a convolutional code with constraint length K = 32 and a rate of r = 1⁄2. The long constraint length makes
WSPR_(amateur_radio_software)
Aspect of relativity in physics
gravitational waves have since then been observed, first indirectly using binary-pulsar observations and, since 2015, directly through dedicated observatories
Gravitational_wave
When a finite set S of relations yields polynomial-time or NP-complete problems
relations over the binary domain { 0 , 1 } {\displaystyle \{0,1\}} . An instance of the problem is an S-formula, i.e. a conjunction of constraints of the form
Schaefer's_dichotomy_theorem
(1998): 89-97. Kolen, Antoon. "A genetic algorithm for the partial binary constraint satisfaction problem: an application to a frequency assignment problem
Antoon_Kolen
Binary system containing the closest known black hole to Earth
"ESPRESSO Observations of Gaia BH1: High-precision Orbital Constraints and no Evidence for an Inner Binary". Publications of the Astronomical Society of the Pacific
Gaia_BH1
Type of error-correcting code using convolution
3, and in the second the constraint length is 4. A convolutional encoder is a finite state machine. An encoder with n binary cells will have 2n states
Convolutional_code
Substellar object
dwarfs binaries of type M, L, and T are less common with a lower mass of the primary. L-dwarfs have a binary fraction of about 24+6 −2% and the binary fraction
Brown_dwarf
Computer arithmetic error
system, with the constraint of 6 positions (digits) the following operation will have an invalid result: 999999 + 1. Likewise, a binary system limited to
Integer_overflow
Overview of LGBT people in science
inclusivity for nonbinary and transgender employees. By removing binary constraints, these facilities help mitigate daily stressors for gender-diverse
LGBTQ_people_in_science
Variable used in a concurrent system
the values 0 and 1 (or locked/unlocked, unavailable/available) are called binary semaphores and are used to implement locks. The semaphore concept was invented
Semaphore_(programming)
Method to solve optimization problems
objective function, subject to linear equality and linear inequality constraints. Its feasible region is a convex polytope, which is a set defined as
Linear_programming
Type of linear error-correcting code
electronics engineering, a binary Golay code is a type of linear error-correcting code used in digital communications. The binary Golay code, along with the
Binary_Golay_code
used exclusively as document file formats. ^The current default format is binary. ^The "classic" format is plain text, and an XML format is also supported
Comparison of data-serialization formats
Comparison_of_data-serialization_formats
Personal sense of one's own gender
is limiting in that it adheres to the dominant societal constraints that label gender as binary. In their anti-essentialist framework, gender identity
Gender_identity
Categorization of data using statistics
can be thought of as two separate problems – binary classification and multiclass classification. In binary classification, a better understood task, only
Statistical_classification
Self-balancing binary search tree data structure
In computer science, a red–black tree is a self-balancing binary search tree data structure noted for fast storage and retrieval of ordered information
Red–black_tree
Tool for structural analysis
affirmation/positive element and S2 is the negation/negative element in the binary pair. The second binary relationship is now created on the ~S axis. ~S1 is considered
Semiotic_square
is based on SVG Tiny and adds methods for sending dynamic updates and a binary compression format. The ISO document defining LASeR is ISO 14496-20, Lightweight
MPEG-4_Part_20
Star system in the constellation Ara
their generation in spatially separated regions of the binary system. This is supported by constraints on the electron density in the respective emission
ASKAP_J1745-5051
Topics referred to by the same term
variable used in mathematics to solve an optimisation problem for a given constraint Multiplier (Fourier analysis), an operator that multiplies the Fourier
Multiplier
Type of neutron star with beams of radiation
useful tools for astronomers. For example, observations of a pulsar in a binary neutron star system were used to indirectly confirm the existence of gravitational
Pulsar
Computer data storage architecture that manages data as objects
for Rdb/VMS. Blob is often humorously explained to be an abbreviation for binary large object. According to Starkey, this backronym arose when Terry McKiever
Object_storage
Stellar core remnant
dwarf is Sirius B, at 8.6 light years, the smaller component of the Sirius binary star. In 1910, Henry Norris Russell, Edward Charles Pickering and Williamina
White_dwarf
Logical problem studied in computer science
arithmetic. SMT can be thought of as a constraint satisfaction problem and thus a certain formalized approach to constraint programming. Formally speaking, an
Satisfiability modulo theories
Satisfiability_modulo_theories
Even integers as sums of two primes
usually expressed today. It is also known as the "strong", "even", or "binary" Goldbach conjecture. A weaker form of the second modern statement, known
Goldbach's_conjecture
Main belt asteroid target of the Lucy mission
152830 Dinkinesh (provisional designation 1999 VD57) is a binary main-belt asteroid about 740 meters (2,400 feet) in diameter. It was discovered by the
152830_Dinkinesh
Prosser, Patrick (1996). "An empirical study of phase transitions in binary constraint satisfaction problems". Artificial Intelligence. 81 (1–2): 81–109
Patrick_Prosser
Quadratic homogeneous polynomial in two variables
In mathematics, a binary quadratic form is a quadratic homogeneous polynomial in two variables q ( x , y ) = a x 2 + b x y + c y 2 , {\displaystyle q(x
Binary_quadratic_form
Local change in a binary tree that preserves leaf order
be the same after the operation as before). Another constraint is the main property of a binary search tree, namely that all nodes in the right subtree
Tree_rotation
colors, single-vertex reconfiguration is PSPACE-complete. Nondeterministic constraint logic is a combinatorial problem on orientations of cubic graphs whose
Reconfiguration
Function graph representing factorization
codes. Factor graphs generalize constraint graphs. A factor whose value is either 0 or 1 is called a constraint. A constraint graph is a factor graph where
Factor_graph
Mobile browser developed by Opera Software
then delivered to the phone in an interpreted markup language called Opera Binary Markup Language (OBML) supported by Opera Mini. According to Opera Software
Opera_Mini
CnC (Concurrent Collections) Glenda Linda coordination language Millipede Binary Modular Dataflow Machine (BMDFM) CAL E – and object-oriented Joule – and
List of concurrent and parallel programming languages
List_of_concurrent_and_parallel_programming_languages
Massive millisecond pulsar in the Milky Way
PSR J0952−0607 is a massive millisecond pulsar in a binary system, located between 3,200–5,700 light-years (970–1,740 pc) from Earth in the constellation
PSR_J0952−0607
2015 detection made by LIGO interferometers
inferred only indirectly, via their effect on the timing of pulsars in binary star systems. The waveform, detected by both LIGO observatories, matched
First observation of gravitational waves
First_observation_of_gravitational_waves
Data interface description language
information objects written in those data types (detailed syntax in X.681), constraint elements (detailed syntax in X.682), among other things. X.681 defines
ASN.1
Self-balancing binary search tree
unifying the study of binary search tree by defining the rank binary tree, and each binary search tree follows by specific constraints applied to the rank
WAVL_tree
forms: blended eclipsing binary systems, grazing eclipsing binary systems, and transits by planet sized stars. Eclipsing binary systems usually produce
Methods of detecting exoplanets
Methods_of_detecting_exoplanets
Computer program for the Boolean satisfiability problem
significant impact on fields including software verification, program analysis, constraint solving, artificial intelligence, electronic design automation, and operations
SAT_solver
Instructions directly executable by a computer
physical memory. Also, virtual address space needs to be considered. Another constraint may be a limitation on the size of registers used to construct the address
Machine_code
Telecommunications coding technique
In telecommunications, a non-return-to-zero (NRZ) line code is a binary code in which ones are represented by one significant condition, usually a positive
Non-return-to-zero
Star system in the Centaurus constellation
are Sun-like stars (class G and K, respectively) that together form the binary star system α Centauri AB. To the naked eye, these two main components appear
Alpha_Centauri
Linked node hierarchical data structure
single straight line (called edge or link between two adjacent nodes). Binary trees are a commonly used type, which constrain the number of children for
Tree_(abstract_data_type)
Category of sales software
Business Cases. Uppsala University course 'Constraint Technology for Solving Combinatorial Problems'"Constraint Technology for Solving Configuration Problems"
Configure,_price_and_quote
Widely used standard for video compression
with constraint set 4) Similar to the High profile, but without support of field coding features. Constrained High Profile (100 with constraint set 4
Advanced_Video_Coding
Symbol connecting formulas in logic
arithmetic expressions. For instance, in the syntax of propositional logic, the binary connective ∨ {\displaystyle \lor } (meaning "or") can be used to join the
Logical_connective
System for exchanging messages between computing systems
ASCII or UTF-8. Binary message representations are intended to be processed by machines rather than read directly by humans. Binary protocols have the
Communication_protocol
Full constraint between two sets of attributes in a relation
In database theory, a multivalued dependency is a full constraint between two sets of attributes in a relation. In contrast to the functional dependency
Multivalued_dependency
algorithm: algorithms for graph (vertex or edge) coloring (subject to constraints, e.g. proper coloring or list coloring) Hopcroft–Karp algorithm: convert
List_of_algorithms
Problem in computer science and operations research
presenting it as an Asymmetric distributed constraint optimization problem (ADCOP) as follows. Add a binary variable vij for each agent i and item j. The
Envy_minimization
Algorithm for supervised learning of binary classifiers
learning, the perceptron is an algorithm for supervised learning of binary classifiers. A binary classifier is a function that can decide whether or not an input
Perceptron
Star system in the constellation Vela
star in the constellation Vela, with each of the two stars a spectroscopic binary. This name is the Bayer designation for the star, which is Latinised from
Gamma_Velorum
Set of rules defining correctly structured programs for the C# programming language
parameter-less constructor is special because it can be specified as a necessary constraint for a generic type parameter. class Foo { Foo() { ... } } Constructors
C_Sharp_syntax
File format for presenting and archiving mathematical programming problems
continuous variables Constraint programming The nl format is low-level and is designed for compactness, not for readability. It has both binary and textual representation
Nl_(format)
Compact astronomical body
astronomers have identified numerous stellar black hole candidates in binary systems and established that the radio source known as Sagittarius A*, at
Black_hole
standard order First-order theory of well-ordered sets First-order theory of binary strings under lexicographic ordering First-order theory of a finite Boolean
List of PSPACE-complete problems
List_of_PSPACE-complete_problems
Sociological constructs related to sex
gender other than their sex assigned at birth. Most cultures have a gender binary, in which gender is divided into two categories, and people are considered
Gender
Theorem in differential topology
2m-1} -dimensional sphere (this removes the m > 1 {\displaystyle m>1} constraint). The weak version, for 2 m + 1 {\displaystyle 2m+1} , is due to transversality
Whitney_immersion_theorem
Relational database programming language
VARYING) National character large object (NCLOB) Binary types Binary (BINARY) Binary varying (VARBINARY) Binary large object (BLOB) Numeric types Exact numeric
SQL
Theory of algebraic structures in general
symbol placed in front of its argument, like ~x. A 2-ary operation (or binary operation) is often denoted by a symbol placed between its arguments (also
Universal_algebra
Near-Earth asteroid
Brinsfield, J.; Molotov, I.E. (2015). "The binary near-Earth Asteroid (175706) 1996 FG3 — an observational constraint on its orbital evolution". Icarus. 245:
65803_Didymos
Unit of information
speaking, the concept of information is closely related to notions of constraint, communication, control, data, form, instruction, knowledge, meaning,
Data
Model or diagram describing interrelated things
represent the semantics of participation constraints imposed on relationships where the degree is higher than binary." Feinerer says: "Problems arise if we
Entity–relationship_model
Hardware description and hardware verification language
The constraint_mode() and the random_mode() methods are used to control the randomization. constraint_mode() is used to turn a specific constraint on and
SystemVerilog
Abstract model
collection of predicates over a finite set of predicate variables, describing constraints on the possible values and combinations of values. The power of the relational
Data_model
Constellation in the northern celestial hemisphere
variable star in the constellation; Epsilon Aurigae, a nearby eclipsing binary with an unusually long period, has been studied intensively. Because of
Auriga
Quantum error correction code
dual-containing (or self-orthogonality) constraint. Researchers have found many examples of classical codes satisfying this constraint, but most classical codes do
Stabilizer_code
Gravitational wave observatory site
November 18, 2025. During this time, LIGO had a sensitivity of 160–190 Mpc for binary neutron star mergers (sensitivities: 80–115 Mpc, KAGRA greater than 1 Mpc)
LIGO
BINARY CONSTRAINT
BINARY CONSTRAINT
Female
Hebrew
Variant spelling of Hebrew Bina, BINAH means "intelligence, wisdom."Â
Boy/Male
American, Australian, French, German, Greek, Latin, Polish, Swedish
Cheerful; Happy; Joyful; Similar to Hilary
Girl/Female
English
Originally a diminutive used for names ending in -bina, like Albina, Columbina, and Robina, now...
Surname or Lastname
English (chiefly South Yorkshire)
English (chiefly South Yorkshire) : topographic name for someone who lived on land enclosed by a bend in a river, from Old English binnan ēa ‘within the river’, or a habitational name from places in Kent called Binney and Binny, which have this origin.Scottish : habitational name from Binney or Binniehill near Falkirk, named in Gaelic as Beinnach, from beinn ‘hill’ + the locative suffix -ach.
Girl/Female
Indian
Modesty
Girl/Female
Hindu
Shore, Musical instrument, Goddess of wealth
Male
Hindi/Indian
(विनय) Hindi name VINAY means "leading asunder."
Female
English
English pet form of German Belinda, possibly BINDY means "bright serpent" or "bright linden tree."
Boy/Male
Indian
An intimate particle of the God of heaven
Boy/Male
Latin
Happy; Cheerful.
Boy/Male
Irish
An ancient Irish name whos meaning is lost in antiquety.
Female
Turkish
Turkish name PINAR means "spring."
Boy/Male
Indian, Punjabi, Sikh
Blessing
Surname or Lastname
English
English : variant spelling of Vickery.
Girl/Female
Hindu
Shore, Musical instrument, Goddess of wealth
Female
Hebrew
(×‘Ö¼Ö´×™× Ö¸×”) Hebrew name BINA means "intelligence, wisdom."Â
Male
Hindi/Indian
Variant spelling of Hindi Vijay, BIJAY means "victory."
Male
English
English unisex form of Latin Hilarius and Hilaria, HILARY means "joyful; happy."Â Originally, this was strictly a masculine name.
Male
Scandinavian
Scandinavian form of Old Norse Einarr, EINAR means "lone warrior."
Girl/Female
Indian
(the wife of Sage Kashyap)
BINARY CONSTRAINT
BINARY CONSTRAINT
Male
English
Anglicized form of Hebrew Zakkay, ZACCAI means "clean, innocent." In the bible, this is the name of the head of a family of Babylonian Exile returnees.
Boy/Male
Hindu, Indian, Marathi, Telugu
Mirror
Boy/Male
Tamil
Sanskar | ஸஂஸà¯à®•ார
Good ethics and moral values
Girl/Female
Tamil
Atmikha | அதà¯à®®à®¿à®•ா
Light of God
Girl/Female
Tamil
Goddess Parvati
Girl/Female
Tamil
Origin, Name of river
Boy/Male
Australian, Belgium, Danish, Dutch, French, German, Indian, Netherlands, Swedish
God will Add Another
Girl/Female
Indian
Honored, Noble, Goddess Parvati
Girl/Female
Christian & English(British/American/Australian)
A Dove
Girl/Female
Hindu, Indian, Tamil, Telugu
Ever Living; Sweet
BINARY CONSTRAINT
BINARY CONSTRAINT
BINARY CONSTRAINT
BINARY CONSTRAINT
BINARY CONSTRAINT
n.
Wine made in the Canary Islands; sack.
a.
Of or pertaining to the Canary Islands; as, canary wine; canary birds.
n.
A binary compound of zinc.
n.
A canary bird.
n.
A pale yellow color, like that of a canary bird.
n.
A binary compound of phosphorus.
n.
A binary compound of hydrogen; a hydride.
a.
Containing ten; tenfold; proceeding by tens; as, the denary, or decimal, scale.
n.
A binary compound of silicon, or one regarded as binary.
n.
See Finery.
n.
That which is constituted of two figures, things, or parts; two; duality.
a.
Relating or belonging to bile; conveying bile; as, biliary acids; biliary ducts.
a.
lasting for one day; as, a diary fever.
a.
Of or pertaining to the urine; as, the urinary bladder; urinary excretions.
n.
A binary compound of iodine, or one which may be regarded as binary; as, potassium iodide.
n.
A register of daily events or transactions; a daily record; a journal; a blank book dated for the record of daily memoranda; as, a diary of the weather; a physician's diary.
a.
Of a pale yellowish color; as, Canary stone.
n.
A binary compound of selenium, or a compound regarded as binary; as, ethyl selenide.
a.
Compounded or consisting of two things or parts; characterized by two (things).
v. i.
To perform the canary dance; to move nimbly; to caper.