Sentence examples for in infinite time from inspiring English sources

He had given up his home and his religion for the notion of a secular nation, a nation in which, as Rabindranath Tagore remarked, the loosening bonds of community and faith would render the novel relevant, for while people linked by faith tended to express themselves in infinite time, we would now be dependent on subjective time, the small interactions, the joys and sorrows between people.

That u ( x, t ) vanishes in infinite time means that lim t → + ∞ u ( x, t ) = 0 for any x ∈ Ω.

If q > 1, then the solution of problem (1.1) vanishes in infinite time for any appropriately small initial data.

In "Infinite time horizon" section, we examine the situation in which the time horizon is not bounded.

(2) If q > 1, then the solution of problem (1.1) vanishes in infinite time for any appropriately small initial data.  .

Wright was aware that the second law of thermodynamics militated against his cosmology of cosmic weather continuing in an endless succession of phenomena in infinite time.

In infinite-time, the framework is specially emphasised on periodic systems.

Furthermore, we develop a terminal equality constraint for LEMPC that can ensure that the performance of LEMPC is at least as good as that of a Lyapunov-based controller in finite-time and in infinite-time.

For instance, an optimal stochastic linear-quadratic control problem was investigated by a stochastic algebraic Riccati equation approach in infinite-time horizon in [9], where the diffusion term in dynamics depends on both the state and the control variables.

The key difference is that Birkhoff's formulation is weaker than Boltzmann's, only requiring saying that almost all solutions visit any set of positive measure in phase space in the infinite time limit.

This, then, would provide a desired link between the probabilities of the older kinetic gas theory and those of statistical mechanics, at least in equilibrium and in the infinite time limit.