Sentence examples for physical solutions of from inspiring English sources

By the use of functional modelling the products embodying physical solutions of identical function structures are recognized.

The physical solutions of this set of coupled equations minimize the free energy and define the equilibrium properties of the system.

(15) For odd integers (ngeq5), the physical solutions of the boundary-value problem ((y(0)=1), (y'(0)=0)) remain near this singular solution with increasing x and match it asymptotically with increasing n.

The celebrated Pontryagin's maximum principles is employed to conduct the physical solutions of the state vector and the control force vector of stochastic optimal controls of closed-loop systems by synthesizing deterministic optimal control solutions of a collection of representative excitation driven systems using the generalized density evolution equation.

The physical solution of the weakly formulated problem is thus the zero diffusion limit of the diffusive problem.

The numerical tests and theoretical analysis show that although these schemes can not be written in the usual conservation form but the numerical solutions obtained with these schemes can converge, as the mesh size tends to zero, to the physical solution of conservation laws.

An analysis of avilable data on the influence of the chief process variables which affect the liquid film limited physical solution of gases in packed absorbers suggests that a surface rejuvenation concept is more relevant than the surface renewal theory for correlating mass transfer coefficients.

In summary, so far, we have shown that the general solution to the conformal field equation can be written in terms of the physical and semi-physical solutions of the wave equations.

In this agent-based system, there are four communities of agents: specification community of agents, function community of agents, physical solution community of agents and production constraint community of agents.

In order to obtain the physical solutions, the eigenvalue problem of Equation 10 is reduced from the 2N x N l size problem to the appropriate 2N l one, using the partitioning technique (please see Appendix Appendix 2).

Through intra and inter-communities interactions of agents emerge the consensual physical solutions agents, a sub community of physical solution agents.