Abstract: The microstructural features of the early stage of ordering of the intermetallic compound Pt2FeCu have been examined using optical and transmission electron microscopy in conjunction with X-ray diffraction technique. It was found that the compound has similar morphological alteration to that of FePt in which the ordering cannot be suppressed by rapid quenching. The early stage of ...

— We develop dynamical methods for studying left-orderable groups as well as the spaces of orderings associated to them. We give new and elementary proofs of theorems by Linnell (if a left-orderable group has infinitely many orderings, then it has uncountably many) and McCleary (the space of orderings of the free group is a Cantor set). We show that this last result also holds for countable tor...

has been considered. To the best of our knowledge, however, little has been done for the abstract difference equations see 7–9 . In this note, we will consider this problem. To this end, let X be a real Banach space and let K ⊂ X be a cone, then a Banach space X with a partial ordering ≤ induced by a coneK is called an ordered Banach space. On the other hand, we will denote the identity operato...

This paper presents a new method for the numerical solution of nonlinear multiobjective optimization problems with an arbitrary partial ordering in the objective space induced by a closed pointed convex cone. This algorithm is based on the well-known scalarization approach by Pascoletti and Serafini and adaptively controls the scalarization parameters using new sensitivity results. The computed...

In this paper, we propose a new distributed heap-based data structure called Cone. Cone maintains an ordering of key values in a distributed fashion, and can support queries of the form, “Find resources of size .” Cone can be built on any routing substrate as long as the substrate supports longest prefix match-based lookups. We describe the Cone data structure, the operations it supports, and i...

This paper attempts to extend the notion of duality for convex cones, by basing it on a prescribed conic ordering and a fixed bilinear mapping. This is an extension of the standard definition of dual cones, in the sense that the nonnegativity of the inner-product is replaced by a pre-specified conic ordering, defined by a convex cone D, and the inner-product itself is replaced by a general mult...

Scalarization of the multiobjective programming problems with fuzzy coefficients using the embedding theorem and the concept of convex cone (ordering cone) is proposed in this paper. Since the set of all fuzzy numbers can be embedded into a normed space, this motivation naturally inspires us to invoke the scalarization techniques in vector optimization problems to evaluate the multiobjective pr...

Abstract We investigate the effects of density fluctuations on near-ordering phase a flock by studying Malthusian Toner–Tu theory. Because birth/death process, characteristic this model, are partially suppressed. show that unlike its incompressible counterpart, where absence renders ordering transition similar to second-order transition, in theory may turn from continuous first-order. study mod...