The concept of locally dually flat Finsler metrics originate from information geometry. As we know, (α, β)-metrics defined by a Riemannian metric α and an 1-form β, represent an important class of Finsler metrics, which contains the Matsumoto metric. In this paper, we study and characterize locally dually flat first approximation of the Matsumoto metric with isotropic S-curvature, which is not ...

The notion of dually flat Finsler metrics arise from information geometry. In this paper, we will study a special class of Finsler metrics called Randers metrics to be dually flat. A simple characterization is provided and some non-trivial explicit examples are constructed. In particular, We will show that the dual flatness of a Randers metric always arises from that of some Riemannian metric b...

We give an output-sensitive algorithm to compute the first k convex or maximal layers in 0( n log I&) -time where Hk is the number of points participating in the first k layers. Computing only the first k layers is interesting in various problems that arise in computational geometry (k-sets and dually k-levels, k-hulls and dually k-belts), pattern recognition, statistics, operations research, etc.

The object of this paper is to study the relationship between certain projective modules and their endomorphism rings. Specifically, the basic problem is to describe the projective modules whose endomorphism rings are (von Neumann) regular, local semiperfect, or left perfect. Call a projective module regular if every cyclic submodule is a direct summand. Thus a ring is a regular module if it is...

CONTEXT The Centers for Medicare & Medicaid Services (CMS) recently launched accountable care organization (ACO) programs designed to improve quality and slow cost growth. The ACOs resemble an earlier pilot, the Medicare Physician Group Practice Demonstration (PGPD), in which participating physician groups received bonus payments if they achieved lower cost growth than local controls and met qu...

We exactly solve a special matrix model of dually weighted planar graphs describing pure two-dimensional quantum gravity with a R interaction in order to study the intermediate regimes between the gravitating and flat metric. The flat space is modeled by a regular square lattice, while localized curvature is being introduced through defects of the lattice. No “flattening” phase transition is fo...

For endofunctors F of many-sorted sets the iterative construction of initial algebras is proved to converge whenever F has an initial algebra. In case of one-sorted sets the convergence takes n steps where either n is an infinite regular cardinal or it is at most 3. Dually, the existence of a terminal coalgebra implies that the iterative construction of a terminal coalgebra converges. As demons...

Dually modified regular maize starch (RMS) and high-amylose (HAMS) were successfully prepared by first acid hydrolysis subsequently hydroxypropylation. The effects of time (0–24 h) propylene oxide (PO) content (10–30%) on the structure physicochemical properties investigated. molar substitution (MS) HAMS samples (up to 0.163) was generally higher than that RMS 0.149), suggesting reactivity amyl...

The successful controlled growth of edge enriched 3D assemblies MoS 2 nanosheets for the fabrication dually selective NH 3 and NO gas sensors using a single step atmospheric pressure CVD method.

Recently in several papers, graphs with maximum neighborhood orderings were characterized and turned out to be algorithmically useful. This paper gives a unified framework for characterizations of those graphs in terms of neighborhood and clique hypergraphs which have the Helly property and whose line graph is chordal. These graphs are dual (in the sense of hypergraphs) to chordal graphs. By us...