Search results
Results From The WOW.Com Content Network
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]
Rigidity theory, or topological constraint theory, is a tool for predicting properties of complex networks (such as glasses) based on their composition.It was introduced by James Charles Phillips in 1979 [1] and 1981, [2] and refined by Michael Thorpe in 1983. [3]
In this system the box slides down a slope, the constraint is that the box must remain on the slope (it cannot go through it or start flying). In classical mechanics, a constraint on a system is a parameter that the system must obey. For example, a box sliding down a slope must remain on the slope.
The Lagrange multiplier theorem states that at any local maximum (or minimum) of the function evaluated under the equality constraints, if constraint qualification applies (explained below), then the gradient of the function (at that point) can be expressed as a linear combination of the gradients of the constraints (at that point), with the ...
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.
Constraint component (Con) provides the criteria, in the form of strictly ranked violable constraints, used to decide between candidates, and; Evaluator (Eval) chooses the optimal candidate based on the constraints, and this candidate is the output. Optimality theory assumes that these components are universal.
The Dow's losses amount to roughly 3%, or more than 1,500 points, in the past nine trading sessions. The index has fallen from a record close of 45,014 on Dec. 4 to 43,499 as of Tuesday's close.
In Hamiltonian mechanics, a primary constraint is a relation between the coordinates and momenta that holds without using the equations of motion. [2] A secondary constraint is one that is not primary—in other words it holds when the equations of motion are satisfied, but need not hold if they are not satisfied [3] The secondary constraints arise from the condition that the primary ...