Sentence examples for solutions does not depend from inspiring English sources

Xylene was adsorbed in the greatest quantity, however, sorption efficiency from aqueous solutions does not depend on the amount of surfactant used.

By ill-posedness, we mean that its solutions do not depend continuously on the data ( A i, f i ).

We characterize those linear dynamical equations for a Banach space whose existence and uniqueness of global solutions do not depend on concrete time scales.

It is natural to ask whether or not there exists a class of equations whose existence and uniqueness of global solutions do not depend on the concrete time scales.

However, the problem (1) is in general ill-posed, as its solutions do not depend continuously on the data (A, f, φ), we used stable methods for solving it.

Theorem 1.1 The class U is the largest one of those classes A ensuring that equation (1) has exactly one global solution for any time scale T and any rd-continuous A : T → B ( X ) with V ( A ) ⊆ A. From Theorem 1.1 we obtain the largest class of equations whose existence and uniqueness of global solutions do not depend on the concrete time scales.

The splay state is a fixed point of the event-driven mapping with a constant interspike interval τ = T / N. Since the fixed-point solutions do not depend on the index n, they are denoted as E n ≡ E ˜, P n ≡ P ˜, u n, j ≡ u ˜ j. (15).

Hairer established the crucial fact that the ultimate solution does not depend on the approximating objects used to obtain it.

That is a more important and difficult problem than the dilemma of whether to nationalize, and the solution does not depend on whether production is nationalized or privatized.

The solution does not depend on the boundary conditions.

If the solution does not depend on the coordinate, then (3.8).