In this paper, we investigate a class of spherical functional autoregressive processes, and discuss the estimation corresponding kernels. particular, first establish consistency result (in mean-square sup norm), then quantitative central limit theorem Wasserstein distance), finally weak convergence result, under more restrictive regularity conditions. Our results are validated by small numerica...

compost is a gradual process in nature by which organic materials are decomposed in the presence of air by microorganisms and fungi. the product is a valuable fertilizer that is used in different places even in home little gardens, so that it has signed as an unnoticed asset. with due attention to the importance of compost, its guidelines and standards should be evaluated. it is pointed and com...

5 Consistency Guarantees 5 5.1 Transactions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 5.2 Linearizability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 5.3 Sequential Consistency . . . . . . . . . . . . . . . . . . . . . . . . 6 5.4 Causal Consistency . . . . . . . . . . . . . . . . . . . . . . . . . . 6 5.5 release consistency . . . . . . . . . . . . . . . . . ....

A general and relatively simple method for construction of multivariate goodness-of-fit tests is introduced. The proposed test applied to elliptical distributions. based on a characterization probability distributions via their characteristic function. consistency other limit properties the new statistics are studied. Also in simulation study compared with earlier as well more recent competitors.

The present paper proposes an algorithm to compute limit cycle points for an uncertain nonlinear fractional-order system with separable nonlinearities using interval constraint propagation. It is first shown that the problem of finding limit cycle points can be formulated as an interval constraint satisfaction problem and then solved using branch and prune algorithm. The algorithm guarantees th...

In this paper we revisit the Adler-Bobenko-Suris H2 equation. The equation is linearly related to $S^{(0,0)}$ and $S^{(1,0)}$ variables in Cauchy matrix scheme. We elaborate coupled quad-system of terms their 3-dimensional consistency, Lax pair, bilinear form continuum limits. It shown that itself satisfies a 9-point lattice limit eigenfunction pair Korteweg-de Vries

Abstract We study higher-form global symmetries and a higher-group structure of low-energy limit (3 + 1)-dimensional axion electrodynamics in gapped phase described by topological action. argue that the should have semi-strict 4-group (3-crossed module) consistency conditions couplings action to background gauge fields for symmetries. find possible ’t Hooft anomalies symmetry, discuss physical ...

A large number of statistical models is described by a family of reversed submartingales converging to degenerated limits. The problem under consideration is to estimate the maximum points of the limit function. For this various maximum functions are used and consequently different concepts of consistency are introduced. In this paper we introduce and investigate a general reversed submartingal...

The decoherent histories approach is a natural medium in which to address problems in quantum theory which involve time in a non-trivial way. This article reviews the various attempts and difficulties involved in using the decoherent histories approach to calculate the probability for crossing the surface x = 0 during a finite interval of time. The commonly encountered difficulties in assigning...

The Betz theory expresses that no horizontal axis wind turbine can extract more than 16/27 (59.3%) of the kinetic energy of the wind. The factor 16/27 (0.593) is known as the Betz limit. Horizontal Axis wind turbine designers try to improve the power performance to reach the Betz limit. Modern operational wind turbines achieve at peak 75% to 80% of the Betz limit. In 1919, Albert Betz used an a...