## What is a finite domain?

A finite domain is a finite set of integers. A constraint is a formula of predicate logic. Here are typical examples of constraints occurring with finite domain problems: X2 – Y2 = Z2 X + Y + Z < U X + Y 5 .

**Which of the following are constraint satisfaction toolkits?**

Constraint satisfaction toolkits JaCoP, an open source Java constraint solver. OptaPlanner, another open source Java constraint solver. Koalog, a commercial Java-based constraint solver. logilab-constraint, an open source constraint solver written in pure Python with constraint propagation algorithms.

### What is binary CSP?

The binary Constraint Satisfaction Problem (CSP) is to decide whether there exists an assignment to a set of variables which satisfies specified constraints between pairs of variables. A binary CSP instance can be presented as a labelled graph encoding both the forms of the constraints and where they are imposed.

**Which of the following algorithm is generally used constraint satisfaction problem search algorithm?**

Which of the following algorithm is generally used CSP search algorithm? a) Breadth-first search algorithm b) Depth-first search algorithm c) Hill-climbing search algorithm d) None of the mentioned Answer: b Explanation: Provides backtrack facility.

## Is C domain integral?

Properties. A commutative ring R is an integral domain if and only if the ideal (0) of R is a prime ideal. The cancellation property holds in any integral domain: for any a, b, and c in an integral domain, if a ≠ 0 and ab = ac then b = c.

**Are all domains fields?**

Every finite integral domain is a field. The only thing we need to show is that a typical element a ≠ 0 has a multiplicative inverse.

### Are binary constraints linear?

A binary constraint, in mathematical optimization, is a constraint that involves exactly two variables. Linear programs in which all constraints are binary can be solved in strongly polynomial time, a result that is not known to be true for more general linear programs. …

**What is degree heuristic?**

Degree heuristic: assign a value to the variable that is involved in the largest number of constraints on other unassigned variables. Least-constraining value heuristic: choose a value that rules out the smallest number of values in variables connected to the current variable by constraints.

## Which algorithm is used to solve any kind of problem?

Which algorithm is used to solve any kind of problem? Explanation: Tree algorithm is used because specific variants of the algorithm embed different strategies.

**How is the CSP related to finite domain constraint?**

The finite-domain constraint satisfaction problem (CSP) consists of a triple 〈 X, D, C 〉, where X is a set of variables, D is a set of domains, and C is a set of constraints. Each xi ∈ X is associated with a finite domain Di ∈ D of potential values. An assignment to a variable xi is the selection of a value vi from its domain Di.

### Which is the shortest path computed using CSPF?

The path computed using CSPF is a shortest path fulfilling a set of constraints. It simply means that it runs shortest path algorithm after pruning those links that violate a given set of constraints.

**How is the finite element method used to solve a problem?**

The FEM is a general numerical method for solving partial differential equations in two or three space variables (i.e., some boundary value problems). To solve a problem, the FEM subdivides a large system into smaller, simpler parts that are called finite elements.

## What kind of routing is used in CSPF?

The routing using CSPF is known as Constraint Based Routing (CBR). The path computed using CSPF could be exactly same as that of computed from OSPF and IS-IS, or it could be completely different depending on the set of constraints to be met.