Sentence examples for infinite evolution from inspiring English sources

To analyze the implementations of system approximates its specification step by step, the infinite evolution mechanism of δ-bisimulation is established.

Dashed horizontal lines show the values averaged over an infinite evolution time.

Straight horizontal lines show the values averaged over an infinite evolution time.

In [2, 3], Liu derived periodic solutions from bounded solutions or ultimate bounded solutions for finite or infinite delay evolution equations in Banach spaces.

Although Kramers' law [5] and LDPs [26, 34] are well understood for finite-dimensional stochastic differential equations (SDEs), the work for infinite-dimensional evolution equations is much more recent.

These are infinite length, concept-evolution, concept-drift and feature evolution.

"Anniversary Project," in Infinite Dreams (the evolution of human language).

The problem remains that we now need to close the infinite hierarchy of evolution equations of the alignment tensors.

This contrasts with other well-studied infinite-dimensional stochastic evolution equations, e.g., the stochastic heat equation.

We may transfer Eq. (2) into the Hilbert space setting of infinite-dimensional stochastic evolution equations [23, 56] for the Hilbert space L 2 ( B ). Subsequently, brackets 〈 ⋅, ⋅ 〉 always denote the inner product on this Hilbert space.

A general direct approach for the derivation of an LDP for infinite-dimensional stochastic evolution equations is presented in [23] and further results have been obtained for certain additional classes of SPDEs [17 19, 57].