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01952aam a22003138i 4500 001 B3475B669ABF11EC841DE5674CECA4DB 003 SILO 005 20220303010028 008 211004s2022 riua b 001 0 eng 010 $a 2021040893 020 $a 1470461560 020 $a 9781470461560 035 $a (OCoLC)1274227447 040 $a DLC $b eng $e rda $c DLC $d OCLCF $d OCLCO $d YDX $d KSU $d IWA $d SILO 042 $a pcc 100 1 $a Mustafa, Nabil H. $q (Nabil Hassan), $d 1979- $0 http://id.loc.gov/authorities/names/no2005071659 $e author. 245 10 $a Sampling in combinatorial and geometric set systems / $c Nabil H. Mustafa. 264 1 $a Providence, Rhode Island : $b American Mathematical Society, $c [2022] 300 $a xv, 251 pages : $b illustrations ; $c 26 cm. 490 1 $a Mathematical surveys and monographs, $x 0076-5376 ; $v volume 265 504 $a Includes bibliographical references (pages 241-246) and index. 505 0 $a A probabilistic averaging technique -- First constructions of Epsilon-nets -- Refining random samples -- Complexity of set systems -- Packings of set systems -- Epsilon-nets: combinatorial bounds -- Epsilon-nets: an algorithm -- Epsilon-nets: weighted case -- Epsilon-nets: convex sets -- VC-dimension of k-fold unions: basic case -- VC-dimension of k-fold unions: general case -- Epsilon-approximations: first bounds -- Epsilon-approximations: improved bounds -- Epsilon-approximations: relative case -- Epsilon-approximations: functional case -- A summary of known bounds. 650 0 $a Geometry $x Data processing. $0 http://id.loc.gov/authorities/subjects/sh2008105182 773 18 $w 990002630680102756 $t Mathematical surveys and monographs. $g no:v. 265 830 0 $a Mathematical surveys and monographs ; $0 http://id.loc.gov/authorities/names/n83732928 $v v. 265. 941 $a 1 952 $l USUX851 $d 20220303012543.0 956 $a http://locator.silo.lib.ia.us/search.cgi?index_0=id&term_0=B3475B669ABF11EC841DE5674CECA4DB 994 $a C0 $b IWAInitiate Another SILO Locator Search