Sentence examples for continuous the problem from inspiring English sources

Since f ( t, x, ⋅ ) is not continuous, the problem (5.1) need not have solutions.

Future questions of scientific value to be addressed are to which extent do humans follow the reasoning of a Markov decision process in a partially observable situation where the state space is continuous (the problem has been partially addressed in [19] for discrete states and actions).

Since robot navigation is most naturally represented in a continuous domain, the problem is cast as a continuous-state POMDP.

Theorem 3.1 If f is continuous, then the problem (1.1) has at least one solution.

Within the class of switching diffusion processes, when the discrete event process or the switching process depends on the continuous state, the problem becomes much more difficult; see [1, 2].

By adopting a solution for the discrete clustering problem in a continuous space, the problem reduces to solving the generalized eigenvalue problem (6) where W = { w ij} is the matrix of the edge weights, also called similarity or affinity matrix, D is the diagonal matrix with elements, d i = Σ j w ij.

For piecewise-continuous controls the problem admits a solution as a feedback law.

The genetic algorithm searches over both discrete and continuous variables in the problem solution space.

The continuous component of the problem is captured by task execution, and the combinatorial component is captured by task assignment.

Furthermore, the continuous increase of the problem size of IC routing is also a great challenge to existing routing algorithms.

It requires the existence and uniqueness of the optimal solution together with continuous dependence on the problem data.