PPT-Spanner Part II COS 418: Distributed Systems

Lecture 19 Haonan Lu Slides adapted from Wyatt Lloyd and Mike Freedmans which are adapted from the Spanner OSDI talk Efficient readonly transactions in strictly serializable systems Strict serializability is desirable but costly. cos eV RF RF RF RF RF RF RF RF RF RF eV eV cos cos cos cos RF RF RF RF RF eV eV eV RF RF RF RF RF RF RF eV eV cos cos cos 66 65 RF RF RF RF RF eV eV cos sin 66 65 5666 566 56 56 566 56 66 65 66 1+x=1+x=2+O(x2):E(x;l)=E0"cos 2l + lxd 22!+cos 2l + lx+d 22!#=2E0cos2l +2 lx2+d2 4cos2d lxwherewealsousedcos+cos=2cos+ 2cos 2.Theoscillatorydependenceonxofthemeasur Grigory. . Yaroslavtsev. . Penn State + AT&T Labs (intern). Based on a paper at . ICALP’11. , joint with . Berman (PSU). , . Bhattacharyya (MIT). , . Makarychev. (IBM). , . Raskhodnikova. (PSU). 2(+)cos1 2()cos+cos=2cos1 2(+)cos1 2()coscos=2sin1 2(+)sin1 2()InatriangleABC,a=sinA=b=sinB=c=sinCanda2=b2+c22bccosAPrexesT=tera=1012c=centi=102G=giga=109m=milli=103M=mega=106 (dx0)2+(dy0)2=Z0d0q (1cos0)2+sin20=21 2Z0d0p 1cos0=23 2hp 1+cos0i0=4241s 1+cos 235:Thetotallengthofthependulumis`,thepartthatisstillstraightattimethaslength`,andsothecoordinatesoft Lee-Ad Gottlieb. Graph spanners. A spanner for graph G is a . subgraph. H. H contains vertices, subset of edges of G. Some qualities of a spanner. Degree, diameter, . stretch, weight. Applications: networks, routing, TSP… . Piotr. Berman, . Sofya. . Raskhodnikova. , . Ge. . Ruan. Pennsylvania . State University. Graph Spanners . [Awerbuch85,Peleg Schäffer89]. A . subgraph. . H. of . G . is a . k. -spanner. . if for all pairs of vertices . Grigory. . Yaroslavtsev. . Penn State + AT&T Labs - Research (intern). Joint work with . Berman (PSU). , . Bhattacharyya (MIT). , . Makarychev. (IBM). , . Raskhodnikova. (PSU). Directed. Spanner Problem. @x=sincos@ @x=coscos r@ @x=sin rsin@r @y=sinsin@ @y=cossin r@ @y=cos rsin@r @z=cos@ @z=sin rThepositionvectorR=xi+yj+zkiswrittenR=rer:(sphericalcoordinates)IfR=R(t)isaparameterize Kevin D. Pagan, City Attorney / Emergency Management Coordinator . Defining Emergency Management. What is an Emergency?. An emergency is the occurrence or imminent threat of a condition, incident, or event that requires immediate response actions to save lives; prevent injuries; protect property, public health, the environment, and public safety; or to lessen or avert the threat of disaster – . Requirements for Eligibility and Coverage. Katherine Lucas, PhD. August 24, 2011. Office of the Inspector General (OIG) Report. Issued September 2009. Entitled “Medicare Hospice Care for Beneficiaries in Nursing Facilities: Compliance with Medicare Coverage Requirements”. System. David F. Bacon et al. . Google, Inc. . Presenter: Che-Lin Huang. Overview. Motivation. Introduction to Spanner. Distributed . Query. Query Range . Extraction. Query . Restart. Common SQL . Dialect. REPORT NO.28897 CALL LETTERS APPLICANT AND LOCATIONN A T U R E O F A P P L I C A T I O N STATE FILE NUMBER E/P WUMD 163899UNIVERSITY OFNORTH DARTMOUTHW239CD 155647SISTER GRACE, INC.K09XZ 128 FORFURTHERINFORMATIONCONTACTSUPPLEMENTARYINFORMATIONaccordance with 41876c VerDate Sep2053 Aug 03 2021Jkt 253001PO 00000Frm 00002Fmt 4701Sfmt 4700EFRFM04AUR4SGM04AUR4/Vol 86 No 147/Wednesday August 4