Sentence examples for same solutions as from inspiring English sources
Mann-Whitney U test was used for statistical analysis Care was taken to stain control and β2−/−/γ3−/− cells in parallel using the same solutions as well as to acquire the confocal images with exactly the same settings of the microscope.
So we've given them what freedom we can, and it's been surprising how often they've chosen the same movements and come to the same solutions" as the London cast did.
Algorithms for use in the finite element method are simplified since the adjoint system gives exactly the same solutions as those of the original system.
The merit of the assumption is that it leads to the same differential equations of equilibrium and the same solutions as those for shallow circular arches.
"Evolution sometimes ends up with the same solutions as humans," said senior author Rick Prum, the William Robertson Coe Professor of Ornithology of Ecology and Evolutionary Biology at Yale.
"What is inevitable is not that this process [the Irish peace process] will succeed, but that, if it failed, after a period of further waste of life and tragedy, and we came back, as we inevitably would, to saying 'What are the problems?', we will identify the same problems and we would probably come up with the same solutions as incorporated in the Good Friday Agreement".
The new approach found the same solution as much as 81% faster than the simple genetic algorithm and 9 53% faster than other previously formulated multiscale strategies.
It is the same solution as the Taylor theorem gives.
We show how they are also guaranteed to asymptotically converge to the same solution as the corresponding existing centralized algorithms.
The algorithm is based on an alternative formulation of the structural SVM training problem that has the same solution as the conventional formulation.
We develop a dynamic programming recursion for the solution of the equivalent perfect information problem, proving that the recursion is valid, an optimal solution exists, and results in the same solution as to the original problem.
