The generalized fuzzy valued $theta$-Choquet integrals will beestablished for the given $mu$-integrable fuzzy valued functionson a general fuzzy measure space, and the convergence theorems ofthis kind of fuzzy valued integral are being discussed.Furthermore, the whole of integrals is regarded as a fuzzy valuedset function on measurable space, the double-null asymptoticadditivity and pseudo-doub...

The generalized fuzzy valued θ-Choquet integrals will be established for the given μ-integrable fuzzy valued functions on a general fuzzy measure space, and the convergence theorems of this kind of fuzzy valued integral are being discussed. Furthermore, the whole of integrals is regarded as a fuzzy valued set function on measurable space, the double-null asymptotic additivity and pseudo-double-...

In additive number theory an important topic is the problem of finding an asymptotic formula for the number of solutions of a given congruence. In many additive congruences the error term estimates of asymptotic formulas contain logarithmic factors. The aim of the present paper is to illustrate application of double exponential sums and a multidimensional smoothing argument in removing these fa...

We study the asymptotic behaviour of additive functionals random walks in scenery. establish bounds for moments local time Kesten and Spitzer process. These combined with a previous moment convergence result (and an ergodicity result) imply distribution observables (with normalization n1 4). When sum observable is null, limit vanishes we prove sense 8).

The use of the generalized coherence estimate as a statistic for detection of a common signal in multiple independent channels of additive gaussian noise has been studied in several recent papers. This work has relied on simulations to evaluate detector performance because the distribution of the generalized coherence estimate with signal present is unknown. This paper derives an asymptotic exp...

§1. The basic definitions and the main theorem. 1. Definition. (1) We define addition on 2 as addition modulo 2 on each component, i.e., if x, y, z ∈ 2 and x+ y = z then for every n we have z(n) = x(n) + y(n) (mod 2). (2) For A,B ⊆ 2 and x ∈ 2 we set x + A = {x + y : y ∈ A}, and we define A + B similarly. (3) We denote the Lebesgue measure on 2 with μ. We say that X ⊆ 2 is null-additive if for ...

background: acute myeloid leukemia, as most cancers, results from exposure to carcinogens and an impaired inherited individual capacity to eliminate xenobiotics. the present case-control study measures the relationship between glutathione s-transferase (gst) t1 and m1 null genotypes and the risk of acute myeloid leukemia. methods: we identified the gstt1 andgstm1 genotypes by multiplex polymera...

In this paper we study simultaneous external and internal stabilization of linear system under input saturation and non-input additive sustained disturbances. For systems that are asymptotic null controllable with bounded control, it is shown that a nonlinear dynamic feedback controller can be designed so that the closed-loop states remain bounded for any initial condition and for two classes o...

A current hypothesis proposes that fragile X mental retardation protein (FMRP), an RNA-binding translational regulator, acts downstream of glutamatergic transmission, via metabotropic glutamate receptor (mGluR) G(q)-dependent signaling, to modulate protein synthesis critical for trafficking ionotropic glutamate receptors (iGluRs) at synapses. However, direct evidence linking FMRP and mGluR func...