In Rudolph’s paper on minimal self joinings [7] he proves that a rank one mixing transformation constructed by Ornstein [5] can be used as the building block for many ergodic theoretical counterexamples. In this paper we show that Ornstein’s transformation can be altered to create a general method for producing zero entropy, loosely Bernoulli counterexamples. This paper answers a question posed...

RDF is used as a central building block for the Semantic Web. Considering providers of learning resources, it is commonplace to store and exchange meta-information in XML rather than RDF. Instead of transforming meta-data artefacts into RDF, we integrate these meta-data by translating users’ queries issued against RDF into queries over XML meta-data. We demonstrate the applicability of our quer...

A range of metathesis substrates was assembled from triplets of unsaturated building blocks. The approach involved the iterative attachment of a propagating and a terminating building block to a fluorous-tagged initiating building block. Metathesis cascade chemistry was used to "reprogram" the molecular scaffolds. Remarkably, in one case, a cyclopropanation reaction competed with the expected m...

The morpholine and piperazine with their remarkable physical and biochemical properties are popular heterocycles in organic and medicinal chemistry used in rational property design. However, in the majority of cases these rings are added to an existing molecule in a building block approach thus limiting their substitution pattern and diversity. Here we introduce a versatile de novo synthesis of...

A quadratic discrete time probabilistic model, for optimal portfolio selection in (re-)insurance is studied. For positive values of underwriting levels, the expected value of the accumulated result is optimized, under constraints on its variance and on annual ROE’s. Existence of a unique solution is proved and a Lagrangian formalism is given. An effective method for solving the Euler-Lagrange e...

We consider time-dependent flow problems discretized with higher order finite element methods. Applying a fully implicit time discretization or an IMEX scheme leads to a saddle point system. This linear system is solved using a preconditioned Krylov method, which is fully parallelized on a distributed memory parallel computer. We study a robust block-triangular preconditioner and beside numeric...

In this work, we suggested a new approach for the basic configuration of a mobile robot capable of being a building block of an intelligent agent. This configuration includes obstacle avoidance (OA), goal tracking (DTG) and communication implemented as competence layers. Moreover, a geometry based behavior arbitration layer is proposed for fusing those behaviors. Proposed control is tested on s...

This paper introduces Gene-Machine, an efficient and new search heuristic algorithm, based in the building-block hypothesis [1] [2]. It is inspired by natural evolution, but does not use some of the concepts present in genetic algorithms like population, mutation and generation. This heuristic exhibits good performance in comparison with genetic algorithms, and can be used to generate useful so...

The uniqueness of the rht-MOF platform, based on the singular (3,24)-connected net, allows for the facile design and synthesis of functionalized materials for desired applications. Here we designed a nitrogen-rich trefoil hexacarboxylate (trigonal tri-isophthalate) ligand, which serves to act as the trigonal molecular building block while concurrently coding the formation of the targeted trunca...

The major building block of most elliptic curve cryptosystems are computation of multi-scalar multiplication. This paper proposes a novel algorithm for simultaneous multi-scalar multiplication, that is by employing addition chains. The previously known methods utilizes double-and-add algorithm with binary representations. In order to accomplish our purpose, an efficient empirical method for fin...