Sentence examples for the domain of a function from inspiring English sources

Intuitively, the axiom schema of replacement is the assertion that, if the domain of a function is a set, then so is its range.

Here denotes the domain of a function.

Theorem 3. Suppose that g is a continuously differentiable function of ( widehat{mathrm{X}} ) on a subset of the domain of a function f.

The domain of a function's inverse function is equal to that function's range.

We give an efficient algorithm for partitioning the domain of a numeric function f into segments.

The domain of a convex function f : E → R is defined to be dom f : = { x ∈ E : f ( x ) < + ∞ }.

The mathematical concept of a differential shows us how this can be done, for the differential at a point in the domain of a given function indicates how it is to be continued on succeeding points.

DRT does not suffer from this problem: the discourse representation construction algorithms of Kamp 1981 and Kamp and Reyle 1993 are stated in terms of functions with finite domains, and carefully talk about 'taking a fresh discourse referent' to extend the domain of a verifying function, for each new noun phrase to be processed.

Suppose the domain of a social welfare function includes both of these profiles.

In general, therefore, it will vary from one profile in the domain of a social welfare function to the next.

The effective domain of a function (f: mathcal{X} rightarrow -infty,+infty]) is defined as (operightarrow -infty:= {xinmathcal{X}|f(x) < +infty}).