Sentence examples for this solution depends from inspiring English sources

The effectiveness of this solution depends on the variability of the energy source.

This property means that Eq. (36a) subject to proper boundary conditions has at least a locally unique solution,a and this solution depends continuously on the problem data.

We will prove, under several sufficient conditions, that if the homogeneous equation only has the trivial solution then for all the nonhomogeneous equation has a unique solution, and this solution depends continuously on.

Without any special comment, throughout the proof, we use the fact that the initial value problem has a unique solution and this solution depends continuously on the initial data (this is guaranteed by Theorem 1).

This condition says that by Theorem 1 every initial value problem (1) and (2) with φ satisfying (3) has exactly one solution on the interval [ τ ( t 0 ), σ ] T, σ > t 0. It is also easy to show that this solution depends continuously on the initial function φ.

This condition says that, by Theorem 1, every initial problem (1) and (2) with φ satisfying (3) has exactly one solution on an interval [ α 0, σ ] T where σ > t 0. It is also easy to show that this solution depends continuously on the initial function φ.

For injection between 100 and 150 µl of this solution (depending on the animal weight) was diluted in 5 ml saline and injected i.p. within 30 minutes.

For injection 10 to 25 µl of this solution (depending on the animal weight) was diluted in 5 ml saline and injected prior to the transplantation and the two following days.

And you will ensure that we'll never get out of this banking crisis, because the solution depends on getting private money funds to team up with the government to buy up toxic assets — and fund managers are growing terrified of any collaboration with government.

This method requires initial values, on which the solution depends.

The bottom line: for each company, the solution depends on a variety of factors, like business model and the industry.