Sentence examples for but the solutions of from inspiring English sources

But the solutions of engineers are often much alike, because human brains are much alike.

The solutions of v x, y) and w x, y) are the same for both the right-angle-distribution and homogeneous-distribution types, but the solutions of u x, y) are different.

After an abstraction process, the dilemma is changed to an administrative contradiction, or a domain problem, which is presented by "How to …?" But the solutions of the administrative contradiction do not exist clearly at this stage.

But the solution of a mass return is unthinkable.

The Perron–Frobenius theorem then holds but the solution of the eigenvalue equation becomes non-trivial.

But the solution of the Hertz problem was developed for uniform and isotropic material.

Stochastic modelling outperforms over other dynamic power management techniques, but the solution of modelling becomes complex with the increase in the number of parameters used.

Then the solution of (6.9) with initial value x 0 ≤ ( 1 - q ) 2 p ( p - 1 ) is bounded, but the solution of (6.9) with initial value x0 > 1 is unbounded.

The term f ( x, u ) = u − x 2 + π 2 − 2 satisfies (5) in the interval , but the solution of the problem u ( x ) = x 2 − π 2 + sin x is negative in and not an even function.

In mathematical optimization, the method of Lagrangian multipliers can provide a strategy for finding the maximum of (5), but the solution of extensive Lagrangian multipliers is computationally complex when " " increases.

But the solution of Problem I can be acquired directly by the Poisson integral formula (27) for the Cauchy-Dirichlet initial boundary value problem, because the function (varpi^{k}(r,theta)) is known.