In this Article, we give a simple criterion for the regularity of a tri-linear mapping. We provide if f : X × Y × Z −→ W is a bounded tri-linear mapping and h : W −→ S is a bounded linear mapping, then f is regular if and only if hof is regular. We also shall give some necessary and sufficient conditions such that the fourth adjoint D^∗∗∗∗ of a tri-derivation D is again tri-derivation.

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...

This paper is of tutorial nature and describes a one-stage dynamic programming algorithm for the problem of connected word recognition. The algorithm to be developed is essentially identical to one presented by Vintsyuk [ I ] and later by Bridle and Brown [2] ;but the notation and the presentation have been clarified. The derivation used for optimally time synchronizing a test pattern, consisti...

This paper describes a practical solution for lexicon-based morphological analysis of Latvian language. As it is a flexive language, the core of this system is an implementation of word inflection based on a stem and its properties as listed in the lexicon. The main advantage of the described solution over similar implementations is augmenting the lexicon with methods for word derivation from r...

Old Serbian bliznica is attested around 1350 in a passage dealing with iron melting. Since the mid-1600s word has been recorded by early lexicographers, glossing it as ?steel?. Today and its shorter variant blizna are used same meaning vernacular speakers of Eastern Serbia, Western Bulgaria Macedonia, but formerly word?s area extended far to west, Bosnia Dubrovnik. Although limited part South S...

Abstract This article re-examines the evidence for OV and VO variation loss of order in historical English, presents a novel unified analysis Old Middle English word based on uniform grammar, with leftward scrambling specific types objects. provides an insightful framework precise how orders differ from orders. We show detail that referential objects involves discourse-given then present phase-...

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.