‎Let $G$ be a non-abelian group and let $Gamma(G)$ be the non-commuting graph of $G$‎. ‎In this paper we define an equivalence relation $sim$ on the set of $V(Gamma(G))=Gsetminus Z(G)$ by taking $xsim y$ if and only if $N(x)=N(y)$‎, ‎where $ N(x)={uin G | x textrm{ and } u textrm{ are adjacent in }Gamma(G)}$ is the open neighborhood of $x$ in $Gamma(G)$‎. ‎We introduce a new graph determined ...

Locality is a fundamental principle used extensively in program and system optimization. It can be measured in many ways. This paper formalizes the metrics of locality into a measurement theory. The new theory includes the precise definition of locality metrics based on access frequency, reuse time, reuse distance, working set, footprint, and the cache miss ratio. It gives the formal relation b...

This paper uses ordered response models of pensioners’ subjective evaluations of their ...nancial positions to construct equivalence scales for pensioners. A range of di¤erent ordered response models is used. The paper examines the sensitivity of the estimated scale to (a) the econometric model used and (b) the measurement of income. A pensioner couple is found to require on average 1.3 to 1.4 ...

The effect of the initial pressure upon laminar flame speed, for a methane-air mixtures, has been detected paractically, wide range equivalence ratio. In this work, measurement system is designed in order to measure speed using constant volume method with thermocouples technique. burning velocity measured, by density ratio method. comparison present work results and previous ones show good agre...

L. Paoluzzi constructed a family of compact orientable three-dimensional hyperbolic manifolds with totally geodesic boundary, which were, by construction, closely related to the three-dimensional torus. This paper gives their complete classification up to isometry, and also their isometry groups. The key tool is the so-called canonical decomposition of hyperbolic manifolds.

Recently some results have been presented which show that certain kinds of deterministic descriptions and indeterministic descriptions are observationally equivalent (Werndl 2009a, Werndl 2011). These results prompt interesting philosophical questions, such as what exactly they show or whether the deterministic or indeterministic description is preferable. There is hardly any philosophical disc...

In this paper we introduce the concept of a behavior homomorphisms and isomorphisms and use it to present a uni.ed approach to the study of equivalence of di/erent behavior representations concentrating on a special representation we call normalized ARMA (NARMA) representation. c © 2001 Elsevier Science B.V. All rights reserved.

According to a previous result by S. V. Avgustinovich and the author, each factorial language admits a unique canonical decomposition to a catenation of factorial languages. In this paper, we analyze the appearance of the canonical decomposition of a catenation of two factorial languages whose canonical decompositions are given.

The Einstein equivalence principle (EEP) has a central role in the understanding of gravity and space-time. In its weak form, or weak equivalence principle (WEP), it directly implies equivalence between inertial and gravitational mass. Verifying this principle in a regime where the relevant properties of the test body must be described by quantum theory has profound implications. Here we report...