In this article, we explore an alternative derivation of Hawking radiation. Instead the field-theoretic derivation, have suggested a simpler calculation based on quantum mechanical reflection from one-dimensional potential. The coefficient shows exponential fall in energy which, comparison with Boltzmann probability distribution, yields temperature. temperature is same as for spherically symmet...

the present paper, through the linguistic analysis of mulla sadra's philosophical views, has shown that a single linguistic model can be applied to the analysis of all his philosophical views. to this end, based on two linguistic theories regarding the semantic structure of derivation, it is illustrated that mulla sadra’s philosophical views conform to the linguistic model of semantic simp...

During the last fifteen years, much of the research of proof theoretical grammars has been focused on their weak generative capacity. This research culminated in Pentus’ theorem, which showed that Lambek grammars generate precisely the context-free languages. However, during the same period of time, research on other grammar formalisms has stressed the importance of “strong generative capacity,...

sarhaddi balochi dialect, a language variety of western (rakhshani) balochi, employs derivation through affixation as one of its word formation processes. the purpose of this article is to present a synchronic description of the way(s) different derivational affixes function in making complex words in sarhaddi balochi as spoken in granchin[1] district located about 35kms to the southeast of kha...

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...

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.

A systematic derivation is presented of the twist–2 anomalous dimensions of the general quark and gluon light–ray operators in the generalized Bjorken region in leading order both for unpolarized and polarized scattering. Various representations of the anomalous dimensions are derived in the non–local and local light cone expansion and their properties are discussed in detail. Evolution equatio...