Sentence examples for measurable function of from inspiring English sources

Let f be a Borel measurable function of the complex plane to itself.

Suppose that is a measurable function of -degree in and for any it satisfies and (3.5).

However, the quantity of interest is generally a measurable function of the Markov chain.

Suppose that then is a measurable function of ree in such that (2.17).

(Phi x,u)) is a measurable function of x for all (u geq0).

Hence, for (t in[0,T]), (J_{t}) is a measurable function of (X^{T}), which implies that (3.3) is a true statistic.

The entries (a_{ij} y)) of the matrix A are measurable functions of y.

In this section, we assume that the coefficients (A^{alpha beta }) are measurable functions of (x in mathbb {R}^d).

Let L p ( R ) denote the class of measurable functions of ϕ on ℝ such that the integral ∫ R | ϕ ( x ) | p d t is finite.

Throughout this section, we consider the operator (mathcal {L}_0), i.e., the coefficients (A^{alpha beta }) are measurable functions of (x_1) only.

It is characterized by 〈 x − π t x, z 〉 = 0, for all z ∈ M ( Y ) ; the closed subspace of L 2 of all random vectors z which can be written as measurable functions of the elements of Y [3].