Sentence examples for between the characteristic function from inspiring English sources

The proof of (1) is based on the evaluation of an upper bound for the modulus of the difference between the characteristic function (c.f).

The main purpose of this paper is to investigate the relationship between the characteristic function of a meromorphic function f ( z ) with maximal deficiency sum and that of the exact difference Δ c f = f ( z + c ) − f ( z ).

A Berry-Esseen-like inequality is provided for the difference between the characteristic function of a weighted sum of conditionally independent random variables and the characteristic function of the standard normal law.

Certain relationship between the characteristic function of a meromorphic function f ( z ) with maximal deficiency sum and that of derivative f ′ ( z ) plays a key role in the study of a conjecture of Nevanlinna (see [4]).

The main contribution of this paper is to study the relationship between the characteristic function of a meromorphic function f ( z ) with maximal deficiency sum and that of the exact difference Δ c f = f ( z + c ) − f ( z ), where c ≠ 0 (see [5]).

Lemma 2.2 gives us the relationship of the characteristic function between (f z)) and (f qz)), provided that (f z)) is a non-constant meromorphic function of zero order.

The first lemma is the characteristic function relationship between f ( z ) and f ( z + c ), provided that f ( z ) is a transcendental meromorphic function of finite order.

In this paper, to test goodness of fit to any fixed distribution of errors in multivariate linear models, we consider a weighted integral of the squared modulus of the difference between the empirical characteristic function of the residuals and the characteristic function under the null hypothesis.

The relation between the m th moment of a complex random variable and the characteristic function is given in [15].

With this representation, the calculation of the similarity function is impacted, thus the characteristic function is used to calculate the local similarity between two features.

Denote the characteristic function of the interval.