Sentence examples for even though the solution from inspiring English sources

It was observed that, whenever one component in a binary solution is present in large excess, the partial pressure of that component is correctly predicted by Raoult's law, even though the solution may exhibit departures from ideal behaviour in other respects.

It can only be the case if 177Lu-DOTATATE was not homogeneously distributed in the vial, even though the solution was vortexed during the process.

As a result, the proposed scheme is high order accurate in both space and time and free of oscillations even though the solution is discontinuous or has sharp gradients.

Even though the solution set of (WVVI) is not a singleton [4, 5], the solution set of the corresponding variational inequality (VI) is a singleton, when their results reduce to (VI).

Due to the consideration of the transverse shear effect in the current model, the solution for the normal (peel) stress derived here is different from that provided in an existing model using the Bernoulli Euler beam theory-based classical laminate theory, even though the solution for the shear stress obtained here is the same as that given in the latter.

Nevertheless, a rather simple model of a frustrated chain packing could be improved by Fourier methods even though the solution of the structure by direct methods was itself frustrated by the extensive overlap of |Fhk0| and |Fkh0| or |Fhkℓ| and |Fhk,−ℓ| amplitudes which led initially to a false prediction of space group symmetry.

It was also proved in [26] that good nulling performance could be achieved, even though the solutions were based on approximations.

This occurs as a small violation of the incompressibility constraint can cause a significant increase in the strain energy even though the approximate solution may have a minor degree of error from the true solution.

As we shall see later, even though the analytic solution must retain the unphysical condition (20) there is very good agreement between this and the numerical solution which uses the regularised condition (21).

The results of comparison show that even though the proposed solution is worse than the existing ones in terms of energy-per-bit, it outperforms the other solutions when the sensitivity is also taken into account.

Even though the numerical solution looks complex for even N > 30 node points, Maple handles it very well.