Sentence examples for path of solutions from inspiring English sources

Here we modify this idea and gluing two (C^{1}) paths of solutions together to obtain a continuous path of solutions, by which we can obtain the rotating periodic solutions (specially, quasi-periodic periodic solutions) of (1.1).

The problems (13) and (14) are equivalent in the sense that the path of solutions of (13) parametrized by a positive β matches with the solution path (14) as τ varies.

Following the (C^{1}) path of solutions of the Cauchy problem starting from a simpler auxiliary equation corresponding to (lambda=0), one can obtain the desired periodic solutions corresponding to (lambda=1).

The velocity is initialized to be zero in the first iteration., and are parameters of the PSO used to adjust the influence to the path of solutions from a particle's best location and the group's best location.

Here we modify this idea and gluing two (C^{1}) paths of solutions together to obtain a continuous path of solutions, by which we can track along the trajectory to obtain the rotating periodic solutions (specially, quasi-periodic solutions) of (1.1).

We can write the optimality condition as follows: (3) Our goal is to compute the path of solutions of (3) for all the λ.

Shining light on the issues may lead to the path of solution.

end{cases} (1.2) The main aims of this contribution are to investigate the extinction, stochastic permanence, the limit of the average in time of the sample paths of solutions and global attractivity, which is a continuation of previous work [1, 3, 4].

Our simulations, in particular, well reproduce the Mg-depleting maturation path of hydrothermal solutions, and have end-of-run model solutions whose Na K Mg compositions well reflect attainment of full-equilibrium conditions at run temperature.

Next, a linear combination of the convex and concave relaxations is solved iteratively by increasing the weight of the concave relaxation and following the path of feasible solutions thus created.

Zhong et al. [32] have studied the connectedness and path-connectedness of solutions set for symmetric VEPs.