DISCRETEMATHEMATICS MirceaOlteanu 2 Contents 1 SetsandLogic 7 1.1 Sets,setsofnumbers . . . . . . . . . . . . . . . . . . . . . . . 7 1.2 Propositions,predicates,quantifiers…

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Functions and Relations (1 Mark) Page 1 of 5 1. 2. 3. 4. Is the function f: N N, defined by f(x) = 3x, onto? Give reasons. If f(x) = [ x ] and g (x) = x , then evaluate (f…

1. Functions Students will determine if a given equation is a function using the vertical line test and evaluate functions given member(s) of the domain.Compiled by : Motlalepula…

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1. Relations And Functions 2. Observe the following sets. {(2,4),(5,0),(9,8),(-1,5),(-13,-4),…} {(-2,-4),(-1,-2),(0,0),(1,2),(2,4),…} {(3,2),(2,1),(1,0),(0,-1),(1,2),…}…

1. UNIT-I: Relation 1.0 Introduction 1.1 Objective 1.2 Relation 1.3 Type of relation 1.4 composition of relations 1.5 Pictorial representation of relations 1.6 Closures of…

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1. Fuzzy LogicBy Manoj Harsule 2. Overview• A Little History• Fuzzy Logic – A Definition• Fuzzy set theory• Introduction to fuzzy set• Fuzzy Relations 3. A little…