Sentence examples for in several practical problems from inspiring English sources

The dominated mapping, which satisfies the condition f x ⪯ x, occurs very naturally in several practical problems.

For example, the Riemann Liouville derivative cannot be employed without initial conditions, which makes it hard to use in several practical problems.

Let f : E → E be defined by f ( x ) = x 1 3. Then (LF) f = E. Example 12 Let E = [0,∞) be endowed with the usual ordering. Define f : E → E by f ( x ) = x n f o r x ∈ 0, 1, x n f o r x ∈ 1, ∞, n ∈ ℕ. Then (LF) f = E. The condition (UF) f = E occurs very naturally in several practical problems.

Terry Collins, a chemist at Carnegie Mellon University in Pittsburgh, Pennsylvania, says several practical problems will have to be worked out before the method is ready for large-scale use in industry.

The procedure is illustrated for some examples with known analytical expression of the sensitivity and then applied to several practical problems in the design of an extrusion process.

Finally, we note that our results are applicable to several practical problems arising in communication networks.

In a real situation, and especially for an emerging disease, several practical problems must be taken into account in the application of these methods.

Within this context several practical problems are addressed which arise in the design of a software architecture which uses live AIS data.

But Ms. Garvey said there were several practical problems.

Unfortunately, c-optimal designs have several practical problems, commonly including an inability to also estimate the underlying dose response parameters in the same trial.

There are, however, several practical problems with the use of SEMs.