we show that  higher derivations on a hilbert$c^{*}-$module associated with the cauchy functional equation satisfying generalized hyers--ulam stability.

there are several kinds of hyperrings, for example, krasnerhyperrings, multiplicative hyperring, general hyperrings and$h_v$-rings. in a multiplicative hyperring, the multiplication isa hyperoperation, while the addition is a binary operation. in this paper, the notion of derivation on multiplicative hyperrings is introduced and some related properties are investigated. {bf keywords:} multiplic...

The Lexical Access From Features (LAFF) project tries to model the representation and perception of speech by human listeners. The derivation of such a representation involves first finding certain acoustic landmarks. Based on the landmarks and the acoustic cues surrounding the landmarks, distinctive features of the speech segments may be deciphered. The present study concentrates on the nasali...

In this paper a Monte Carlo procedure for deriving frequency distributions of extreme discharges starting from a simplified description of rainfall and surface runoff processes and using regional data is presented. The procedure is based on two modules: a stochastic rainfall generator module and a catchment response module. In the rainfall generator module the rainfall storm, i.e. the maximum r...

We investigate the stability of generalizedderivations on Banach algebras with a bounded central approximateidentity. We show that every approximate generalized derivation inthe sense of Rassias, is an exact generalized derivation. Also thestability problem of generalized derivations on the faithful Banachalgebras is investigated.

In this paper, we investigate the generalized Hyers-Ulam-Rassias and the Isac and Rassias-type stability of the conditional of orthogonally ring $*$-$n$-derivation and orthogonally ring $*$-$n$-homomorphism on $C^*$-algebras. As a consequence of this, we prove the hyperstability of orthogonally ring $*$-$n$-derivation and orthogonally ring $*$-$n$-homomorphism on $C^*$-algebras.

Let A be a unital R-algebra and M be a unital A-bimodule. It is shown that every Jordan derivation of the trivial extension of A by M, under some conditions, is the sum of a derivation and an antiderivation.

In this paper, the effect of the cell-temperature on the performance of photovoltaic (PV) module is evaluated. The evaluation is based on a mathematical module (single diode equivalent circuit) and practically based on solar module tester (SMT). Solara®130W PV crystalline silicon module was used in this simulation. The SMT is able to supply a constant irradiance level (1000W/m2) or any other de...

It has been debated whether human induced pluripotent stem cells (iPSCs) and embryonic stem cells (ESCs) express distinctive transcriptomes. By using the method of weighted gene co-expression network analysis, we showed here that iPSCs exhibit altered functional modules compared with ESCs. Notably, iPSCs and ESCs differentially express 17 modules that primarily function in transcription, metabo...

breast cancer is the second largest cause of cancer deaths among women. at the same time, it is also among the most curable cancer types if it can be diagnosed early. this paper presents a novel hybrid intelligent method for recognition of breast cancer tumors. the proposed method includes three main modules: the feature extraction module, the classifier module and the optimization module. in t...