Sentence examples for function will be denoted from inspiring English sources

The gradient of the value function will be denoted as ∇V.

The identity function will be denoted as and so, in particular, is the identity function of onto itself.

If is continuous at each right-dense and left-dense point, then is said to be a continuous function on, the set of continuous function will be denoted by.

This reference function will be denoted by z and is defined as the value of z ̂ for an ideal channel and in the absence of noise (the effect of noise will be investigated in more detail in Section 3.1.3).

In this case, we write w λ p α − lim f k ( x ) = f ( x ) on A. The set of all strongly w λ p β ( f ) -summable sequences of function will be denoted by w λ p α ( f ).

It is easy to check that this sequence satisfies (M.1) and ((M.3)') when (M_p) does so and its associated function will be denoted by (N_{r_p}(rho )), i.e. (N_{r_{p}}(rho )=sup _{pin mathbb N} ln _+ rho ^{p}/(M_pprod _{j=1}^{p}r_j)), (rho > 0).

(for the rest of this page, the arguments of the trig functions will be denoted by t instead of x, in an attempt to reduce confusion with the cartesian coordinate).

The space of Lebesgue integrable functions will be denoted by.

The collection of such functions will be denoted by.

This class of functions will be denoted by f ∈ K.

The set of continuous functions will be denoted by.