Sentence examples for more general initial from inspiring English sources
However, here we study the more general initial data that satisfy (1.4) and are sign-changing.
For a more general initial configuration, solutions have to be obtained by means of numerical integration.
Since the proposed method is based on VI learning mechanism, it does not require the admissible control for the implementation, and thus satisfies a more general initial condition than the works based on policy iteration (PI).
A similar analysis as above can be carried out when we consider more general initial conditions, but the price to pay for this is that the proof would certainly require additional -summability condition on The following is the main result of this paper.
In this work we describe and implement a technique that produces exact solutions for single and multispecies reactive transport problems with more general, smooth initial conditions.
More general noise and initial state distributions can, for example, be characterized by probability density functions p(x 0), p(v k ), and p(e k ).
It is a problem for future investigation to find values of positive limits of solutions considered in the paper (e.g., by methods used in [25 27]) or to enlarge the presented method to more general classes of equations and initial functions.
Better data collection could be done, on the one hand, by the practices themselves (e.g., more precise data registration under each staff initials) and more general research, on the other (e.g., about time spent per patient contact).
Our initial motivation to study more general coordinates comes from the idea to generate problem-oriented coordinate systems for astrophysical numerical calculations.
In this study, a more general case with a non-zero initial condition is considered in the derivation of the classical Nash model.
(ii) Instead of considering ILC of linear first-order distributed parameter systems without initial error as in [20], we consider a class of impulsive nonlinear first-order distributed parameter systems with initial error and more general discontinuous output tracking problem.
