Sentence examples for be continuous on from inspiring English sources

Despite these important features, Theorem 1.1 suffers from one drawback: the contractive condition (1.1) forces T to be continuous on X.

A function is said to be continuous on an interval, or subset of its domain, if and only if it is continuous at each point of the interval.

Let be continuous on,, and.

to be continuous on [ 0, 1 ].

is said to be continuous on if (2.11).

Let (varphi :Omega to mathbb{R}_) be continuous on Ω and differentiable in (Omega^{0}).

All these quantities must be continuous on the air-sea interface (Gill 1982).

Let be continuous on and differentiable on whose derivative is bounded on, that is,.

In general, square root operations might fail to be continuous on the space of matrices.

If, then is extended to be continuous on in the extended sense, where.

If is continuous at each, then is said to be continuous on (see [8]).