Sentence examples for problems are as follows from inspiring English sources

The assumptions we need for convex problems are as follows: (H(F _{2})::  (H Omegatimes Rtimes R^{N}times Rrightarrow {mathcal{P}}_{kc}(R)) is a multifunction satisfying the following properties: (a) ((x,u,s,t rightarrow H x,u,s,t)) is graph measurable.

The main requirements for a true classification system capable of solving rock-engineering problems are as follows.

The main problems are as follows: The relaying protection system is mainly constituted by main protection and backup protection.

Those problems are as follows: Conventional software development methodology cannot be applied to the mobile software development.

The problems are as follows: There is still a space-time dependent nonlinear prefactor 1 / g ′ ( P ( x, t ) ) in (42) for the deterministic system, so the system is not an exact gradient flow for a potential.

Solution algorithms of IL optimization decision problems are as follows: the priority heuristic algorithm [18], the sensitivity-based method [19], dynamic programming method combined with heuristic rules [20], mixed-integer programming (MIP) method [21] binary particle swarm optimization algorithm [22], etc.

The natural way of using the Fokker Planck equation in first-hitting-times problems is as follows.

The design criteria to be used for this design problem are as follows: material to be used is EN 50D/S355J2G3 steel and factor of safety required is 1.5.

The assumptions utilized to model the discussed problem are as follows.

Implementation steps of the IBPSO algorithm to solve the optimal reconfiguration and capacitor placement problem are as follows: 1.

The motivation for this problem is as follows.