PPT-Some Topics in Computational Topology

Yusu Wang Ohio State University AMS Short Course 2014 Introduction Much recent developments in computational topology Both in theory and in their applications Eg the theory of persistence homology. Jaewon. Kang, . Yanyong. Zhang, . Badri. . Nath. IEEE transactions on Parallel and Distributed Systems. Rutger. university. Outline. Introduction. Problem Formulation. Capacity Analysis Model. Topology-Aware Resource Adaptation Scheme. Batmen Camp. Outreach Program. Dr. Suzanne . Shontz. Department of Mathematics and Statistics. Department of Computer Science and Engineering. Center for Computational Sciences. Graduate Program in Computational Engineering. http://. uoregon.edu/~moursund/dave/index.htm. “Computational . thinking is a fundamental skill for everybody, not just for computer scientists. To reading, writing, and arithmetic, we should add computational thinking to every child’s analytical ability. Author: Nir Amar. Supervisor: Dr. Gabi Nakibly. Background. The Internet . – composed . of some 50,000 autonomous systems (AS). . An . AS is a collection of networks and routers which are administered by a single . . Dianzi. . Liu, . V. assili. . V. . Toropov. , . Osvaldo M. . Querin. University . of Leeds. . Content. Introduction. Topology Optimisation. Parametric Optimisation. Ovidiu P. â. rvu. , PhD student. Department of . Computer Science. Supervisors: Professors . David Gilbert. and . Nigel Saunders. Why?. 2. Predicted. behaviour. Simulations. Natural. biosystem. Computational. 1. RD-CSY1017. RD-CSY1017. 2. Review : Computer Network. LAN (Local Area Network). A group of computers. and associated devices (printers, etc.) . connected. through a wired or wireless medium. by . The word topology comes from the Greek . topos. , ". place. ," and . logos. , ". study. ”. Topology . was known as . geometria. . situs. (Latin . geometry of place. ) or . analysis . situs. (Latin . Unicast. Fast-reroute Using. Maximally Redundant Trees . draft-li-rtgwg-ldp-mt-mrt-frr-01. Zhenbin Li, Tao Zhou, Quintin Zhao. IETF . 85, Atlanta, GA, USA. Introduction. [I-. D.ietf. -. rtgwg. -. mrt. Shane . Amante. Jan . Medved, . jmedved@cisco.com. Stefano . Previdi. , . sprevidi@. cisco.com. . Victor Lopez. , . vlopez@. tid.es. Changes Since Last Revision. Text & . t. erminology cleanup (e.g. info model instead of data model). Network Topology. Geographical . representation of the . links.. Topology is physical . layout. . of . computers, cables and other connected devices . on a network.. Types. Physical Topology. Logical Topology. Boone County Planning Commission. www.boonecountygis.com. Background. Some complex spatial operations produced odd/unexpected results. Some of the problems were traced back to imprecise geometry (slight overshoots, gaps, slivers, dangles. etc).. Update History. Version 00 presented at IETF 92. Provided introduction to an Information Model relevant to the data modeling work on Topology underway in the IETF, describing:. Relevant work under development outside of the IETF. Department of Mathematics. INTRODUCTION. TOPOLOGICAL SPACES. EXAMPLES OF TOPOLOGICAL SPACES. BASES AND SUB BASES. REFERENCES. CONTENTS. The word . Topology. is derived from the two . G. reek words .