Our main result is that two point interpolatory subdivision schemes using C nonlinear averaging rules on pairs of real numbers generate real-valued functions that are also C. The significance of this result is the following consequence: Suppose that S is a subdivision algorithm operating on sequences of real numbers using linear binary averaging that generates C real-valued functions and S is t...

The Eternal system provides transparent fault tolerance for CORBA applications, without requiring the modification of either the application or the ORB. Eternal replicates the application objects, and ensures strong replica consistency by employing reliable totally-ordered multicast messages for conveying the IIOP messages of the application. To maintain replica consistency even as replicas fai...

The Eternal system pioneered the interception approach to providing transparent fault tolerance for CORBA, which allows it to make a CORBA application reliable with little or no modification to the application or the ORB. The design and implementation of the Eternal system has influenced industrial practices by providing the basis for the specifications of the Fault-Tolerant CORBA standard that...

We study the minimum cost path problem in an environment where the cost is direction-dependent (anisotropic). This problem arise in sailing, robotics, aircraft navigation, and routing of autonomous vehicles, where the cost is affected by the direction of waves, winds or slope of the terrain. We present an approximation algorithm to find a minimum cost path for a point robot moving in a planar s...

Background: Socioeconomic indicators are the main factors that affect health outcome. Health price index (HPI) and households living costs (HLC) are affected by economic reform. This study aimed at examining the effect of subsidy targeting plan (STP) on HPI and HLC.    Methods: The social accounting matrix was used to study the direct and indirect effects of STP. We chose 11 health r...

The Eternal system provides transparent fault tolerance for CORBA applications, without requiring the modification of either the application or the ORB. Eternal replicates the application objects, and ensures strong replica consistency by employing a reliable totally-ordered multicast protocol for conveying the IIOP messages of the application. To achieve strong replica consistency during recov...

As a general approach to procedural mesh definition we propose two mechanisms for mesh modification: generalized subdivision and rule based mesh growing. In standard subdivision, a specific subdivision rule is applied to a mesh to get a succession of meshes converging to a limit surface. A generalized approach allows different subdivision rules at each level of the subdivision process. By limit...

We prove that the (d − 2)-nd barycentric subdivision of every convex d-ball is shellable. This yields a new characterization of the PL property in terms of shellability: A sphere or a ball is PL if and only if it becomes shellable after sufficiently many barycentric subdivisions. This improves results by Whitehead, Zeeman and Glaser. Moreover, we show the Zeeman conjecture is equivalent to the ...

Let G be an abelian group with n elements. Let S be a sequence of elements of G, where the repetition of elements is allowed. Let |S| be the cardinality, or the length of S. A sequence S ⊆ G with |S| ≥ 2 is barycentric or has a barycentric-sum if it contains one element aj such that ∑ ai∈S ai = |S|aj . This paper is a survey on the following three barycentric constants: the k-barycentric Olson ...