Sentence examples for be an integrable function from inspiring English sources

Definition C. Let be an integrable function, for One defines a linear functional as (2.22).

Definition B. Let be an integrable function; for one defines a linear functional as (2.1).

Let f be an integrable function on the unit disk.

Let f be an integrable function of the d-dimensional torus and let Cm be the Fourier coefficients of f(m=(m1,…, md)∈Zd).

In this paper, we consider a Van der Pol Duffing oscillator that is excited parametrically by a small intensity real noise, which is assumed to be an integrable function of an n-dimensional Ornstein Uhlenbeck vector process that is an output of a linear filter system.

Let f be an integrable function of period 2π.

In particular, it turns out that the divergence of the electron and hole currents is an integrable function.

where is a given function and is an integrable function.

where g : [ 0, 1 ] → R is an integrable function.

Suppose that (w:[a,b]tomathbb{R}) is an integrable function on ([a,b]) symmetric to (frac{a+b}{2}).

If is an integrable function on, then can approximate the continuous Fourier series [12] as follows: (5).