The entropy solutions of the compressible Euler equations satisfy a minimum principle for the specific entropy [11]. First order schemes such as Godunov-type and Lax-Friedrichs schemes and the second order kinetic schemes [6] also satisfy a discrete minimum entropy principle. In this paper, we show an extension of the positivity-preserving high order schemes for the compressible Euler equations...

This paper investigates fuzzy triangle and similarity of fuzzy triangles. Five rules to determine similarity of fuzzy triangles are studied. Extension principle and concept of same and inverse points in fuzzy geometry are used to analyze the proposed concepts.

We introduce an extension of the standard Local-to-Global Principle used in the proof of the convexity theorems for the momentum map to handle closed maps that take values in a length metric space. This extension is used to study the convexity properties of the cylinder valued momentum map introduced by Condevaux, Dazord, and Molino in [8] and allows us to obtain the most general convexity stat...

the purpose of this study was to assess the process of extension program development in iranian agricultural extension system (iaes). the research instrument was a structural questionnaire with close-ended questions which its validity and reliability was confirmed by using expert panel and cranach’s alpha test, respectively. the target population of this research included all extension managers...

We introduce an extension of the standard Local-to-Global Principle used in the proof of the convexity theorems for the momentum map to handle closed maps that take values in a length metric space. As an application, this extension is used to study the convexity properties of the cylinder valued momentum map introduced by Condevaux, Dazord, and Molino. Mathematics Subject Index 2000: 53C23, 53D20.

A rapid method is described to efficiently perform site-directed mutagenesis based on overlap extension polymerase chain reaction (OE-PCR). Two template DNA molecules in different orientations relative to only one universal primer were amplified in parallel. By choosing a high dilution of mutagenic primers it was possible to run an overlap extension PCR in only one reaction without purification...

We consider the problem of extending a conformal metric of negative curvature, given outside of a neighbourhood of 0 in the unit disk D, to a conformal metric of negative curvature in D. We give conditions under which such an extension is possible, and also give obstructions to such an extension. The methods we use are based on a maximum principle and the Ahlfors–Schwarz Lemma. We also give an ...

§0. Introduction §1. Preliminaries, notation, and definitions §2. Basic approaches and preliminary facts §3. Extension across M 1 §4. Extension across C t §5. Completion of the proof of the Main Theorem— Assuming Theorem C §6. Statement of Theorem D and related notation §7. Extension of G(f, λ)—Proof of Theorem D(a) §8. Branches of F and Segre varieties §9. Branch locus of F and Segre varieties...

Over recent years, various semantics have been proposed for dealing with updates in the setting of logic programs. The availability of different semantics naturally raises the question of which are most adequate to model updates. A systematic approach to face this question is to identify general principles against which such semantics could be evaluated. In this paper we motivate and introduce ...

In this article we present an algorithm to extend continuous crisp functions to fuzzy numbers using the extension principle; the functions must be monotonically increasing in some of the arguments and monotonically decreasing in the others. Then, we present two different solutions to the problem of extending inverse functions that we have called possible extension and necessary extension. Final...