Sentence examples for be two regulated functions from inspiring English sources

Let (f,g: [a b ]rightarrow mathbb{R}) be two regulated functions.

Let (f:[a,b]rightarrow L (E,V )) and (g:[a,b]rightarrow E) be two regulated functions.

Let (f,g: [a b ]rightarrow mathbb{R}) be two regulated functions which have no common points of discontinuity.

Let (f:[a,b]rightarrow L (E,V )) and (g:[a,b]rightarrow E) be two regulated functions that have no common points of discontinuity.

Let (f,g: [a b ]rightarrow mathbb{R}) be two regulated functions which have no common points of discontinuity, (xiin[a b]) and S and S̃ be as in Theorem  1 and Theorem  2, respectively.

Let (f:[a,b]rightarrow L (E,V )) and (g:[a,b]rightarrow E) be two regulated functions that have no common points of discontinuity, and let (delta_{0}geqdelta_{1}geq cdots), (varepsilon_{0}geqvarepsilon_{1}geqcdots) be two sequences of nonnegative numbers such that (delta_{k}downarrow0), (varepsilon _{k}downarrow0) as (krightarrow+infty).

These are two distinct functions.

There are three different functions.

Let (f: Trightarrow mathbb{R}) be a regulated function and (1

Let (h:mathbb{T}rightarrow mathbb{R} ) be a regulated function [21].

Assume that f : T → R is a regulated function.