Sentence examples for although the solutions from inspiring English sources

And one of their lessons is that, although the solutions to our health-cost problems are hard, there are solutions.

Although the solutions to most engineering problems can be obtained to a satisfactory degree of accuracy by assuming that an Earth-based reference frame is an inertial one, there are some applications in which the rotation of the Earth cannot be neglected; among these is the operation of a gyroscopic compass.

Although the solutions to such problems must be integral, the optimization is performed without the integrality constraints.

Although the solutions presented can be used to address most of the problems caused by excessive test power, not all problems have been solved.

Although the solutions of (1.1) are periodic when k = ± 2 (that is, p = 2 ), he proved that the periodicity fails when p ≥ 3, see [[1], Theorem 3.1].

Therefore, the energy spectrum is the same for both types of mirror boundary conditions and impenetrable wall boundary, although the solutions themselves are not equal.

Although the solution to these mysteries is too obvious to raise goose bumps, Milchman reveals an intimate knowledge of the psychology of grief, along with a painterly gift for converting frozen feelings into scenes of a forbidding winter landscape.

Although the solution of each successive problem required the animals to discriminate between two previously unfamiliar objects, performance tended to improve on successive tasks; the monkeys made increasing numbers of correct choices on the second trial of each problem as the process continued.

Although the solution to Rosie Larsen's killing was provided the next year, many audience members did not stick around to find out: ratings for "The Killing" declined, to 1.7 million viewers, from about 2.3 million viewers for new episodes in Season 1, and this concerned AMC.

Although the solution scale issue is solved, a heuristic solution does not offer optimality guarantees.

Although the solution presented refers to a specific Rapid Environmental Assessment (REA) trial, its application is not constrained to REA only.