Sentence examples for if it is continuous from inspiring English sources

Recall that the operator is called image compact if it is continuous and its image is a relatively compact set.

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.

A function is said to be rd-continuous if it is continuous at right-dense points in and its left-sided limits exist (finite) at left-dense points in The set of rd-continuous functions will be denoted by.

A mapping (f : mathbb{T} rightarrowmathbb{R}_{mathcal{F}}) is rd-continuous if it is continuous at each right-dense point and its left-side limits exist (finite) at left-dense points in (mathbb{T}).

By elementary functional analysis, a linear operator between normed spaces is bounded if and only if it is continuous, and the boundedness is trivially also equivalent to the Lipschitz-continuity.

(6 Let be a mapping of a linear normed space into its dual space. is said to be hemicontinuous if it is continuous from each line segment in to the weak topology in.

Moreover, a function defined on is said to be rd-continuous if it is continuous at every right-dense point in and its left-sided limit exists at every left-dense point in.

The function (f:mathbb{T}rightarrowmathbb{R}) is said to be rd-continuous if it is continuous at all dense points (tinmathbb {T}) and its left-sided limits exist at all left-dense points (tin mathbb{T}).

A function (f:mathbb{T}rightarrowmathbb{R}) is right-dense continuous if it is continuous at right-dense points in (mathbb{T}) and its left-side limits exist at left-dense points in (mathbb{T}).

If it is, continuous pumping to keep the dock dry will be necessary.

And f is continuous if it is continuous at every p for which f(p) is defined.