Sentence examples for problems of dimension from inspiring English sources

Current integral equation methods for the Dirichlet problem, however, require the solution of M independent problems of dimension N, where M is the number of boundary components and N is the total number of points in the discretization.

The approach is intended to overcome the problems of dimension of such systems, as well as fragmentation of information and methodological support of modeling tasks that are dealt with at different departmental, regional, organizational and temporal levels of decision-making on the control of pipeline system expansion and operation.

These methods have the ability to handle large-size problems of dimensions beyond which other methods cease to be efficient.

However, extensive numerical examples have shown that this type of algorithm can solve general MP problems of dimensions 10 15 (while the problems of such dimensions are already very hard to solve by the standard approximation tools) [5, 6, 35].

The activity of Technical Committee ISO/TC 213 that has been working towards coordinated and systematic development of international standards covering problems of dimensioning, geometrical tolerancing, surface texture and related metrology is reported.

The problem of "dimension" of wetting transition is discussed.

The low-rank problem of dimension (s - 1) is caused by this design.

With a problem of dimension 8 (i.e., MK), the number of iterations and vertices is already large.

As a powerful supplement to TSP, ITSDP can reflect the dynamic variations such as sequential structure and simplify large quantities design scenarios in case the problem of "dimension disaster" happen.

Thus, the proposed method solves the problem of dimension change from sample space mapping to feature space, and it reduces the restrictions on the sample sets, which is adaptable to more complex sample sets.

This paper addresses the problem of dimensioning of series braking resistors.