Sentence examples for continuous to the from inspiring English sources

In mathematics, a Dirichlet problem for Laplace's equation can be stated as follows: Given a function f that has values everywhere on the boundary of a region in (mathbf{R}^{m}), there is a unique function u twice continuously differentiable in the interior and continuous to the boundary, such that u is harmonic in the interior and (u = f) on the boundary.

At the coast the steep descent of the mountains is continuous to the sea bottom, where there is no continental shelf.

The imposing escarpment that runs parallel to the Red Sea is somewhat interrupted by a gap northwest of Mecca but becomes more clearly continuous to the south.

The mathematical methods needed for computations in engineering and the sciences must be transformed from the continuous to the discrete in order to be carried out on a computer.

In this type of geometric pattern load transfer path is most continuous to the ground.

It is shown that this duality carries across from the continuous to the analogous discrete model.

Used as continuous to examine the linear trend.

This transformation must be continuous due to the continuous dependence of solutions on parameters.

"How better to assure continuous coverage and continuous access to the same doctors?" Mr. Weil asked.

To create continuous predictors, age was added as a continuous variable to the models.

Also, no additional furosemide bolus injections were administered during the continuous infusion to the patients who received a bolus prior to the continuous infusion.