# Class Notes for MATH 241 at Bucknell University

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## MATH 241 Lecture 10: Relations and their Properties

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Anti - reflexive : x rx is false for all. X ry implies y rx for all x , y e a. Anti - symmetric : for all: y. Transitive : if x ry and y r2 , then x rz

View Document## MATH 241 Lecture Notes - Lecture 7: Empty String

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X e ant if and only if x e at u b. 7 ( i x ea ) n ( x e b )) 7 ( x eb ) by de morgan "s law. = ( x ea ) v ( x e b ) X e i au b i thus atb is equal i lo

View Document## MATH 241 Lecture 6: Proofs by Contradiction and by Cases

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S by cases provisionality we have to show that if h in hz ^ hk is true , then. C and show a contradiction ( p n. C is false so c is true example 1) the

View Document## MATH 241 Lecture 8: Functions

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Qt defined by g i x) - Tx is not a function (c) h : r be defined by hlx) - (d) f : ir r defined by f- txt is not a. I is not a function because it fail

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