MATH 301 Lecture Notes - Lecture 1: Aea, Foreach Loop, And1
14 May 2023
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2 nietheralice or bob are collegestudents not t a alice isnot a college student. Aset iscollectionofelementstwosets arethe same meanstheyhaveexactly the same elements. I 2 33 means a is the setwhoseelements are 1,2and3. I ea means i is an elementoftheset a. 54a means that 5 is not an elementofa. The rational numbers q are thepositiveandnegativefractions and zero. There isexactly one set which has no elements calledtheemptyset theemptyset canbewritten as 0 or 3. Wewillstudy cardinality in moredetail at theend oftheclass fornow we will takethisideaforgranted wealsotakeforgranted that a set like z has infinitelymany elements 1711 0 j. Realnumbersisthesetofall numbers with possibly infinitedecimal expansions positiveor negative aproperdefinition ishardtogiveandisusuallydonein analysis. A xeta x203 or a x x e21 x 20. A isthesetofintegersthat are greaterthan or equal to zero. E isthe setofthings ofthe form 2n where n is an integer at e if a 2n for some integer n. 1 a is an integer because it is 2timesaninteger.
