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 Johnson and Lappin (1997) (J&L) we presented arguments against the incorporation of global economy conditions on derivations into the theory of grammar. The economy of derivation model of grammar proposed in Chapter 4 of Chomsky (1995b) postulates three such conditions: Procrastinate, The Shortest Derivation Principle (SDP), and the Have an Effect on Output Condition (HEOC). We showed that t...

Both weighted spherical harmonics (SPHARM) and spherical wavelets (SW) have been used for local shape representation of biological structures. In this paper, we shed light on the underlying connections between weighted SPHARM and SW. A novel derivation of SW from weighted SPHARM and a detailed formulation of wavelet transformation for shape representation are presented. Their performances on lo...

A macroscopic experiment capable of detecting a signature of spinorial sign changes is discussed. If realized, it would determine whether Bell inequalities are satisfied for a manifestly local, classical system. By providing an explicitly local-realistic derivation of the EPR-Bohm type spin correlations, it is demonstrated why Bell inequalities must be violated even in such a manifestly local, ...

ognized indicator of population health. Estimates have been reported for centuries, during which the methods of life table derivation have been refined and incorporated as one of a demographer’s most useful tools. Increasingly, health planners and epidemiologists are asked to produce local level health status reports. However, life expectancy has frequently disappeared from such reports (in Ont...

Let $mathfrak{A}$ be an algebra. A linear mapping $delta:mathfrak{A}tomathfrak{A}$ is called a textit{derivation} if $delta(ab)=delta(a)b+adelta(b)$ for each $a,binmathfrak{A}$. Given two derivations $delta$ and $delta'$ on a $C^*$-algebra $mathfrak A$, we prove that there exists a derivation $Delta$ on $mathfrak A$ such that $deltadelta'=Delta^2$ if and only if either $delta'=0$ or $delta=sdel...

We consider inventory control in a two-echelon divergent network, consisting of a central depot and multiple (non-identical) local warehouses. Past research has shown that (R, S) order-up-to control rules for this system type can easily be obtained using a decomposition approach, where the derivation of the order-up-to level S is separated from the derivation of the rationing parameters. We sho...

In this paper we propose a recursive method for identifying and cross-validating local constant models. The algorithm we derive here is intended to be a part of a more general lazy learning method already presented by the authors (Birattari et al., 1999). We take for granted aspects related to the search of the nearest-neighbors, the deenition of a metric and local combination of estimators, an...

We give a detailed derivation of a generalization of the second derivative test of single-variable calculus which can classify critical points as local minima or local maxima (or neither), whenever the traditional second derivative test fails, by considering the values of higher-order derivatives evaluated at the critical points. The enhanced test is local, in the sense that it is only necessar...