In this study, we define the notion of conformal semi-slant Riemannian maps from almost Hermitian manifolds onto as a generalization submersions. We give examples for type maps. study integrability conditions distributions. addition, apply pluriharmonic to investigate being horizontally homothetic map. Moreover, examine that under which cases, distributions can totally geodesic foliations.

Let f be a Rademacher or Steinhaus random multiplicative function. ?>0 small. We prove that, as x?+?, we almost surely have | ? n?xP(n)>xf(n)|? x(loglogx)1?4+?, where P(n) stands for the largest prime factor of n. This gives an indication sure size fluctuations f.

This article consists in two independent parts. In the first one, we investigate the geometric properties of almost periodicity of model sets (or cut-and-project sets, defined under the weakest hypotheses); in particular we show that they are almost periodic patterns and thus possess a uniform density. In the second part, we prove that the class of model sets and almost periodic patterns are st...

Let ~ C R n and n > 4 be even. We show that if a sequence {uJ } in W l'n/2 (f2; R n) is almost conformal in the sense that dist (Vu j , R+ SO(n) ) converges strongly to 0 in L n/2 and i f u j converges weakly to u in W 1,n/2, then u is conformal and VuJ ~ Vu strongly in Lqoc for all 1 < q < n/2. It is known that this conclusion fails i f n~2 is replaced by any smaller exponent p. We also prove ...

Consider a set of single-input, single-output nonlinear systems whose input–output maps are described only in terms convergent Chen–Fliess series without any assumption that finite dimensional state space models available. It is shown additive or multiplicative interconnection such always has representation can be computed explicitly iterated formal Lie derivatives.

It is a standard result that a finite impulse response channel of length L can be uniquely identified by feeding in a known (and persistently exciting) sequence of 2L 1 consecutive data points. Equivalently, given only 2L 2 consecutive data points, the channel can be uniquely identified up to a multiplicative constant. This paper significantly extends the identifiability criterion to the case w...

the aim of this paper is to show that under some mild conditions a functional equation of multiplicative (; )-derivation is superstable on standard operator algebras. furthermore, we prove that this generalized derivation can be a continuous and an inner (; )- derivation.

We introduce a general and simple structural design called “Multiplicative Integration” (MI) to improve recurrent neural networks (RNNs). MI changes the way in which information from difference sources flows and is integrated in the computational building block of an RNN, while introducing almost no extra parameters. The new structure can be easily embedded into many popular RNN models, includi...