Sentence examples for are continuous to the from inspiring English sources

Since harmonic functions that are continuous to the boundary satisfy the maximum principle [17], we obtain the uniqueness by the standard argument for linear differential equations satisfying the maximum principle.

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

It was continuous to the north, and its eastern edge met a high-wave speed anomaly near the TSK station.

By 16 somites PECAM-1 expression was continuous to the 8th ISV, extending discontinuously down to the 15th ISV, and by 19 somites the expression was continuous through all ISV.

The thermal model meshing is continuous to take the thermal continuity between the connection components into account.

The thermal model is continuous, to take account of the thermal continuity between the joint components.

From Breaky Bottom out through Beachy Head, under the Channel, and up into Picardy, and on past Arras and Amiens, the chalk is continuous to Reims and Épernay.

Second, there are continuous efforts to improve the effective mechanism for enforcing the international obligations of the U.S. economic partners.

However, the coefficients of these inequalities are assumed to be continuous at the left end of the interval of definition.

(H1) and the restriction of to is continuous relative to the graph norm of.

Thus he decided it was his role to make it go away, in the interest of the children who didn't need to be continuous witnesses to the Kliegerman World War.