For instance, Remark 4 to Theorems 7 and 8 addresses the singularity at the origin for the local versions of the (integral) theorem on weak convergence for Poisson-Tweedie mixtures given by formula (50) – the fact that can only be revealed through the microscope of local behavior.
Motivated by the above works, in order to provide a tighter bound for (sum_{j=r_{1}}^{r_{2}-1}eta^{T}(j Reta(j)) or (sum_{i=-h+1}^{0}y^{T}(i Ry(i)), this paper is aimed at establishing some novel summation inequalities as the discrete-time versions of the integral inequalities obtained in [27].
In this work we characterized in a systematic manner the effects of FtsY- or Ffh-depletion on the synthesis, localization, and functional assembly of 2 hybrid versions of the integral membrane protein MdfA.
Discrete version of the first integral in Equation (8) is, then, given by h 1 ( n, m ) = ∫ α = 0 2 H d ( m, α ) e j π α ( n - n 0 ) ( n - m ) d α, (33).
The paper is devoted to the presentation of validation cases carried out for the models describing the corium behaviour in the "lower plenum" of the reactor vessel implemented in the V2.0 version of the ASTEC integral code, jointly developed by IRSN (France) and GRS (Germany).
For a suitable function f : Ω ( r, s ) → R, we define for all n ∈ N 0 linear functionals via a discretized version of the continuous integral, namely T n ( r, s ) ( f ) : = ∑ k = − ∞ ∞ r q k ( r q k ) n f ( r q k ) + ∑ k = − ∞ ∞ s q k ( − s q k ) n f ( − s q k ).
A slightly modified version of the difference integral method was then used to calculate the local bandshift at each frequency across the O D stretching region.
The result is an integral over functions, which must be treated as a limit of an N-fold integral over a discretized version of the integrand, as N→∞.
The new integral formulations involve weighted versions of the classical integral operators related to the thin-screen Dirichlet and Neumann problems as well as a generalization to the open-surface problem of the classical Calderón formulae.
