Sentence examples for solutions although the from inspiring English sources

The system presents solitonic solutions, although the infinite set of local conserved quantities of SKdV breaks down.

Bending was fastest in alkaline solutions, although the degree of bending was the same at low and high pH.

The results typically involve mathematically elegant solutions, although the clinical utility of such results is limited by the formulation of the problem as well as the level of abstraction.

The Al3Ti 2DC forms at the liquid Al/TiB2 interface in concentrated Al Ti solutions, but dissolves in dilute Al Ti solutions, although the kinetics of both the formation and dissolution of Al3Ti 2DC are relatively sluggish.

The experiment results indicated that TeO2 was reduced to Te and Te was then reduced to H2Te in TeO2 silica sol, which was similar to that in TeO2 solutions although the reduction process was promoted in silica sol.

The analysis of the approximate control problems is carried out under the assumption that the oscillating coefficients are locally periodic, which allows us to use homogenization theory to obtain the asymptotic structure of the solutions, although the numerical schemes are designed for the general case.

Nobody can force Israel to embrace John Kerry's recycled ideas about a two-state solution, although the US secretary of state is expected to spell them out one more time before he leaves office next month.

Holkot's response is recognizable as a version of what in modern discussions is called the Ockhamist solution (although the argument traces back at least to Bonaventure).

Janssen said it had gone to "significant lengths" to find a solution, although the scale of the discount has not been made public.

Graphplan in its original form does not guarantee that all inputs provided will be part of the final solution, although the solution must provide all outputs.

The data obtained indicate that the two polymers assume remarkably different conformations in aqueous solution, although the backbone is supposed to be the same for the two chains.