We outline an extension of Martin’s view of a conceptual realism, to a Cantorian realm of absolute infinities. We then formulate a strong reflection principle within this framework to obtain extra-constructible large cardinals.

In this lecture, we will first consider the problem of boolean function evaluation and prove that randomized algorithms (in the expected case) perform better than deterministic algorithms. The boolean circuits that we consider, can be naturally extended to obtain a game tree. We will then state Von Neumann’s minimax theorem and its extension Yao’s principle. Finally, we show how Yao’s principle...

We introduce the relative tail pressure to establish a variational principle for continuous bundle random dynamical systems. We also show that the relative tail pressure is conserved by the principal extension.

The entropy solutions of the compressible Euler equations satisfy a minimum principle for the specific entropy [10]. 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...

One of the important ways development takes place in mathematics is via a process of generalization. On the basis of a recent characterization of this process we propose a principle that generalizations of mathematical structures that are already part of successful physical theories serve as good guides for the development of new physical theories. The principle is a more formal presentation an...

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.

Linear systems with fuzzy parameters and crisp variables defined by the Zadehs extension principle are called possibilistic linear systems. The purpose of this paper is to outline some properties of these systems.

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...