Sentence examples for and there are functions from inspiring English sources

The phrase "and there are functions" is correct and usable in written English.
It can be used when discussing the existence or availability of functions in a particular context, such as programming, mathematics, or any system that involves functions.
Example: "In this software, there are various features available, and there are functions that allow users to customize their experience."
Alternatives: "and functions exist" or "and functions are available".

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Contracting out to private companies, agencies or other intermediate types of administration has a place in efficient government, and there are functions that private companies, agencies and the rest perform better than governments.

In order to derive Sum Rule and Product Rule from FUNC, we use the following mathematical fact: Let A and B be commuting operators, then there is a maximal operator C and there are functions f, g such that A = f(C) and B = g(C).

This isn't necessarily all bad, and there are functions for certain conventions, but I feel like skate magazines don't really ever question these conventions before committing to them.

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There's resources or money, there's time and there's function.

(j3) There are functions and such that for all the following local growth conditions hold: (3.5).

We point out that Theorems 3.1 and 3.2 are complementary, which is based on the fact that there are functions satisfying ((F_{4})) and ((F_{5})) but not satisfying ((F_{3})) (see Example 4.2 in Section 4) and there are also functions (phi _{i}(i=1,2)) defined by (1.2) satisfying ((phi_{1})) and ((phi_{2})) but not satisfying ((phi_{3})) (see Case 4 in Section 4).

"It was an interesting exercise because when you think of what is essential and what is not essential that there are functions of public service that we don't know about that are very essential.

There are functions V and f which satisfy Theorem 1.5, but do not satisfy the corresponding results in [2 16].

From [[15], Theorem 2.6, p.49] it follows that there are functions u + and u − both equimeasurable with ω χ [ 0, α ] and satisfying the equalities (44).

Between the two tiers of the Famous Five Stand there are function suites and lounges.

There were functions other than musical performances held at Lewisohn Stadium.

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