Sentence examples for if it were continuous from inspiring English sources

This is important in path analysis, since you implicitly treat the variable as if it were continuous for correlational analysis.

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 function f : T → R 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.

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}).

A function is said to be rd-continuous if it is continuous at right-dense points in and its left-sided limits exists (finite) at left-dense points in.

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.

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.

Moreover, a function f 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.

(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.