PPT-AN iNTRODUCTION TO Topology

AN iNTRODUCTION TO Topology Ciprian Manolescu UCLA DHC Ceremony BabesBolyai University July 11 2018 What is the shape of the Earth We dont know so heres an easier question What is the shape of the universe. 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. . Linda Green. Bay Area Circle for Teachers. 2012 Summer Workshop. Images from . virtualmathmuseum.org. Topics. What is topology?. Surfaces and gluing diagrams. The universe. A math auction. Most of this material is from . 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 . Julian Shun. On Power-Law Relationships of the Internet Topology (. Faloutsos. 1999). Observes that Internet graphs can be described by “power laws” (P[X > x] = k. a. x. -a. L(x) ). Introduces power-law exponents to characterize Internet graphs. Kathleen McClain. Hofstra University. Mentor: Wilma Olson. Methylase from HAEIII Covalently Bound to DNA. PDB ID: 1DCT. DNA Basics. Generic B-form DNA. DNA contains the genetic information in most living organisms. . YAN JIE . (Ryan). What is topology?. Topology. . is . t. he . study of properties of a shape that do not change under . deformation. A . simple way to describe topology is as a . ‘. rubber sheet geometry. 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. Introduction. Copyright Statement. All of the information and material inclusive of text, images, logos, product names is either the property of, or used with permission by Ex Libris Ltd. The information may not be distributed, modified, displayed, reproduced . 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). 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).. 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 . Topology of a network has great effect on the performance and network troubleshooting of a particular network.. . Topology. is a network specification that determines the network’s . overall layout .