Sentence examples for solution independently from inspiring English sources

It turned out that the area between 0 and x is simply xk + 1/ k + 1), a solution independently discovered by Fermat, Roberval, and the Italian mathematician Bonaventura Cavalieri.

The above expressions for the various equilibrium constants depend only on the concentrations of the species concerned, which are tacitly assumed to exist in solution independently of one another.

Second, folding inside the cage can be significantly faster than folding in free solution, independently of ATP-driven cycles of GroES binding and release.

With the attempt to explore this influence potassium oxalate and oxalic acid were used to regulate the calcium concentration and pH within pore solution independently.

The flow system was designed with solenoid valves in order to increase the versatility and improve the analytical performance, since each device handles the solution independently leading to a more efficient use of reagents.

Our results indicate that chip pre-treatment with oxygen plasma produced better transducers than pre-treatment by immersion in organic solvents, piranha or KOH solution, independently of the biofunctionalization strategy used for aptasensor production.

She highlighted doing research, debating and looking for solutions independently.

Besides, the convergence of the GAOT technique is more robust, reaching solutions independently of initial guesses.

Should the economist always insist on propagating the most efficient solutions independently of their feasibility?

Fuzzy logic can approximate the solutions independently for certain input, but it does not provide accurate solutions.

We show that the developed procedure yields excellent results when compared to more advanced coupled fluid structure finite element solutions, independently of the number of included modes, beam boundary conditions, and number of interacting fluid domains.