Cartesian Topology Research Articles

Elements of Cartesian Analysis in Saidou Spaces

The objective of this research paper is to follow up on the work already started in order to install a new mathematical analysis, the one we called Cartesian analysis see our previous works[1],[2]. During these last two papers, we started with the definition of cartesian geometry and we defined and introduced to a new Cartesian topology which gave birth to new spaces called Saidou spaces. Thus, and to follow up on this way, we propose to studie the analytical and functional part of this analysis. We will define the notion of a Cartesian function and then its epigraph before to characterize the analytical properties of these functions, for example the continuity and the differentiablity. In an other hand, we will see the relationship between cartesian functions and the convex functions. According to the latest papers and this work we do the asset of the first foundations of the cartesian analysis.

Using node and socket information to implement MPI Cartesian topologies

The MPI API provides support for Cartesian process topologies, including the option to reorder the processes to achieve better communication performance. But MPI implementations rarely provide anything useful for the reorder option, typically ignoring it. One argument made is that modern interconnects are fast enough that applications are less sensitive to the exact layout of processes onto the system. However, intranode communication performance is much greater than internode communication performance. In this paper, we show a simple approach that takes into account only information about which MPI processes are on the same node to provide a fast and effective implementation of the MPI Cartesian topology routine. While not optimal, this approach provides a significant improvement over all tested MPI implementations and provides an implementation that may be used as the default in any MPI implementation of MPI_Cart_create. We also explore the impact of taking into account the mapping of processes to processor chips or sockets, and show that this is both relatively easy to accomplish but provides only a small improvement in performance.

An Efficient Acyclic Contact Planner for Multiped Robots

We present a contact planner for complex legged locomotion tasks: standing up, climbing stairs using a handrail, crossing rubble, and getting out of a car. The need for such a planner was shown at the DARPA Robotics Challenge, where such behaviors could not be demonstrated (except for egress). Current planners suffer from their prohibitive algorithmic complexity because they deploy a tree of robot configurations projected in contact with the environment. We tackle this issue by introducing a reduction property: the reachability condition. This condition defines a geometric approximation of the contact manifold, which is of low dimension, presents a Cartesian topology, and can be efficiently sampled and explored. The hard contact planning problem can then be decomposed into two subproblems: first, we plan a path for the root without considering the whole-body configuration, using a sampling-based algorithm; then, we generate a discrete sequence of whole-body configurations in static equilibrium along this path, using a deterministic contact-selection algorithm. The reduction breaks the algorithm complexity encountered in previous works, resulting in the first interactive implementation of a contact planner (open source). While no contact planner has yet been proposed with theoretical completeness, we empirically show the interest of our framework: in a few seconds, with high success rates, we generate complex contact plans for various scenarios and two robots: HRP-2 and HyQ. These plans are validated in dynamic simulations or on the real HRP-2 robot.

Fault Injection Based Channel Allocation Of Noc Architecture For Ldpc Decoders

Network-on-chip (NoC) architectures are emerging for the highly scalable, reliable, and modular on-chip communication infrastructure platform. The NoC architecture uses layered protocols and packet- switched networks which consist of on-chip routers, links, and network interfaces on a predefined topology. In this Project ,we design network-on-chip which is based on the Cartesian network environment. This project proposes the new Cartesian topology which is uded to reduce network routing time, and it is an suitable alternate to network design and implementation. The cartesian Network-On-Chip can be modelled using Verilog HDL and simulated using Modelsim software&Quartus II. Keywords: Network-on-Chip (NoC), Routing, Switching, Cut-through,Cartesian

Design Of High Performance Reconfigurable Routers Using Fpga

*Abstrsact — Network-on-chip(NoC) architectures are emerging for the highly scalable, reliable, and modular on-chip communication infrastructure platform. The NoC architecture uses layered protocols and packet-switched networks which consist of on-chip routers, links, and network interfaces on a predefined topology. In this Project, we design network-on-chip which is based on the Cartesian network environment. This project proposes the new Cartesian topology which is used to reduce network routing time, and it is a suitable alternate to network design and implementation. The Cartesian Network-OnChip can be modeled using Verilog HDL and simulated using Modelsim software.

Method to generate complex computational meshes efficiently

AbstractThe paper demonstrates an approach to generate three‐dimensional boundary‐fitted computational meshes efficiently. One basic idea underlying the present study is that often similar geometries have to be meshed, and therefore an efficient mesh‐adaption method, which allows adaptation of the topological mesh to the specific geometry, would be more efficient than generating all new meshes. On the other hand the mesh generation for Cartesian topologies has been shown to be a very simple task. It can be executed by connecting and removing brick elements to a basic cube. In connection with a so‐called ‘Macro Command Language’, a high degree of automation can be reached when adapting topologically defined meshes to a surface. Furthermore, a high mesh quality has proved to be the key to good simulation results. During the mesh generation it is important to provide the possibility of modifiying the mesh quality and also the mesh density at any time of the meshing process. Using this generation method the meshing time is reduced—e.g. a computational mesh for a two‐valve cylinder head can be generated within a few hours.