The phrase "and that the functions" is correct and usable in written English.
It can be used when discussing specific functions or roles in a context, often in a formal or technical setting.
Example: "The report outlines the objectives of the project and that the functions of each team member are clearly defined."
Alternatives: "and that the roles" or "and that the duties".
It is clear that schools need time to adjust to the introduction of one-to-one devices, and that the functions of the Tablet need to be understood by teachers, together with the changes to pedagogy that are brought about by an increase in independent learning".
We argue that higher-order language combinatorics, including sentence and discourse processing, can be situated in a unified, cross-species dorsal-ventral streams architecture for higher auditory processing, and that the functions of the dorsal and ventral streams in higher-order language processing can be grounded in their respective computational properties in primate audition.
Suppose that Q : R n → R m 0 × m 0 is bounded and continuous, and that the functions b and σ satisfy | b ( x, i ) | + | σ ( x, i ) | ≤ K ( 1 + | x | ), i ∈ M, (4).
It also follows that f is Legendre if and only if f* is Legendre (see [3], Corollary 5.5, page 634) and that the functions f and f* are Gateaux differentiable and strictly convex in the interior of their respective domains.
Corollary 2.1 Suppose that (C1 - C3) and (C5) hold, and that the functions g j and h j ( j = 1, 2 ) are both nonnegative and continuous on [ x 0, ∞ ) × [ x 0, ∞ ).
However, Dennett's (1988) claim is that there is no mind-independent determinate fact of the matter about meanings or functions and that the functions of artifacts, the functions of biological systems and the contents of the thoughts of people are all dependent on interpretation, on our adopting either the design stance or the intentional stance toward them.
And that function, the cognitive function, can be performed very well.
And that is the function of festivals like Cannes".
Let and suppose that the functions and satisfy assumptions of Theorem 3.5.
Herbert Muschamp suggests that city dwellers are a species apart, bound by "an ethical fiber," and that "the function of a city is to refuse everything less than the best".
In his work two impressions predominate: that only the self is important and that the function of poetry is to preserve moments of extreme sensation and unique impression.
