Sentence examples for be a given initial from inspiring English sources

Let (x_{0}) be a given initial state.

Let (t_{1}geq t_{0}) be a given initial point and let (Phiin C[[t_{1}-m, t_{1}], mathbb{R}]) be a given initial function.

where φ ∈ H, u : [ 0, + ∞ ) → H is unknown. Definition 2.3 Let φ ∈ H be a given initial value.

A given starting point, that is a given initial diagenesis model, is randomly generated (Fig. 4b).

(6.1) where (a Jrightarrow R) is an integrable real scalar function, and (f : Jtimes IRrightarrow IR) is an interval-valued function; (x_{0}) is a given initial interval number in IR.

Based on a certain implicitly defined mapping F and the idea of iterative methods for solving LCP (1.2), Pang proposed a basic iterative method u^{ k+1)}=Fbigl u^{ k)}bigr), quad kgeq0, where (u^{(0)}) is a given initial vector, and established the convergence theory.

Periodic orbits that are reached from a given initial condition are often called attractors or limit cycles of the trajectory in the literature.

For instance: which states can be reached from a given initial state under given controls?

Let (phi:[n_{0},0]rightarrowRe) be a given continuous initial function with (|phi|

The removal efficiency increases up to an optimum dose (0.5 g), beyond which the increase in removal efficiency is negligible for a given initial concentration.

The following preprocessing to the algorithm spans all the states that are reachable from a given initial state under a perturbation P: 1.