Operating Systems II
Operating Systems II CSCI 5210
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This 4 page Class Notes was uploaded by Else Dooley on Sunday October 11, 2015. The Class Notes belongs to CSCI 5210 at East Carolina University taught by Robert Hochberg in Fall. Since its upload, it has received 26 views. For similar materials see /class/221320/csci-5210-east-carolina-university in ComputerScienence at East Carolina University.
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Date Created: 10/11/15
Venn Diagrams PVenn diagrams are used to visualize sets and relationships among sets More Venn Diagrams A BUC A B C AoBoC C AUB AoB Venn Diagrams and Set Relationships PVenn diagrams can be used to depict relationships between sets 9 CG C is a subset B is a subset of A and B are disjoint ofA AUC that is A B o Venn Diagram of a Complement PRecall that before defining the complement of a set we need a notion of ltwhaz gt gt The universal set P In a Venn diagram we typically put a box around the whole gure to denote the universal set PThen the complement of a set is the region inside the universal set but outside the set we are considering Set Identities quotl AulB Cl LluBl Ll t identitie 1 Table mpleridentltie39 gt In general to how two re equal enough to ow that each eti et of the othe Member hip Tables ke a ement et P For more complicated columle combine the simpler columns PFor et 7 t 5 row one ofDeMorg 1 gt 11 I mplemenr on The 11 39 he Ie inre 39n39on Off6 coupemenm39 Membership Tables Use of Simpler Identities V39e that A Bv 1g our lentit 111 not be foe ing on this method in this It i en nilAr to our proof oflogi AB HABBcl PTh1gt 1e a thin w ay to show two sete are equal P It is o en the be ay P Let us prove one of the v 39 ibutive laws this PAWBUC I A C A Similar Argument P Prove that A B A B P Show that ever lenient in A B is also an element of AL B P Suppose AnBLJC AnBUAnC con 39de in element in t S11 1 et on the le L gt 1 A which then imp 1i 391 t AHB L then we hm e haaicall the same argument Dealing with the Empty Set P Prove that B t andx gtE B P Since there can be no 1ch A the le ham must be the eInpt PNote that e do not need to consider the other direction er
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