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In mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. There are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. The set of candidate solutions that satisfy all constraints is called the feasible set. [1]
More generally, the restriction (or domain restriction or left-restriction) of a binary relation between and may be defined as a relation having domain , codomain and graph ( ) = {(,) ():}. Similarly, one can define a right-restriction or range restriction R B . {\displaystyle R\triangleright B.}
The bucket elimination algorithm can be adapted for constraint optimization. A given variable can be indeed removed from the problem by replacing all soft constraints containing it with a new soft constraint. The cost of this new constraint is computed assuming a maximal value for every value of the removed variable.
Constraint may refer to: Constraint (computer-aided design) , a demarcation of geometrical characteristics between two or more entities or solid modeling bodies Constraint (mathematics) , a condition of an optimization problem that the solution must satisfy
Constraint satisfaction problems (CSPs) are mathematical questions defined as a set of objects whose state must satisfy a number of constraints or limitations. CSPs represent the entities in a problem as a homogeneous collection of finite constraints over variables , which is solved by constraint satisfaction methods.
relational restrictions bound the domain and the values satisfying the constraints; structural restrictions bound the way constraints are distributed over the variables. More precisely, a relational restriction specifies a constraint language, which is a domain and a set of relations over this domain. A constraint satisfaction problem meets ...
Restriction enzyme, a type of enzyme that cleaves genetic material; ... Restrictor (linguistics), a word or morpheme that specifies the meaning of a quantifier; ...
Constraints on writing are common and can serve a variety of purposes. For example, a text may place restrictions on its vocabulary, e.g. Basic English, copula-free text, defining vocabulary for dictionaries, and other limited vocabularies for teaching English as a second language or to children.