Sentence examples for solution only for from inspiring English sources
For the case where a tree is given with potential suffix links, a seminal work provides a linear time solution only for binary alphabets.
However, Ma et al. obtained the existence of at least one positive periodic solution only for (I_{k} t,u equiv0), (kinmathbf{Z}).
However, some of these methods are reliable and applicable for solving ordinary differential equations; the most of these methods provide the solution only for a particular kind of differential equations or a particular kind of boundary conditions.
In this case (in the condition of (1.14)), the solution is a Weierstrass elliptic doubly periodic type solution only for (h_{3}>0), so we just consider the case (h_{3}>0).
Then, the voting request node verifies the correctness of the puzzle solution only for the not-too-late replies and accepts the received IP/MAC mapping only when the solution for the second-type puzzle is correct.
We show that our schemes work because of (i) the special input corresponding to a positive finite seismic velocity, (ii) special initial conditions corresponding to the image rays, (iii) the fact that our finite-difference scheme contains small error terms which damp the high harmonics; truncation of the Chebyshev series, and (iv) the need to compute the solution only for a short interval of time.
The PBE is known to admit analytical solutions only for a few cases with restricted forms of interaction kernels.
Also, it finds optimal solutions only for small sized problems using the complete enumeration method and near optimal solutions for real sized problems using evolutionary algorithms.
Algorithms solving the problem exactly have been designed but the running time is improved over trivial brute-force solutions only for very sparse instances.
However, APA films were observed after anodizations run with IL1 solutions only for the lowest relative concentration values explored, namelyc = 0.01%, and with comparatively lowJ = 20 mA/cm20
As for the CPLEX it found optimal solutions only for the small instances, besides which for the higher dimensioned instances CPLEX failed to obtain any integer solutions at all, in 10h running time.
