Discrete Structure lecture_3

Apr 28th, 2015
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It includes all the details about the Discrete structure with examples.Step by step solution.

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DISCREAT STRUCTURELECTURE # 3Conditional &biconditionalKHAWAJA TARIQ MAHMOODLecture # 3CONDITIONAL & BICONDITIONALCONDITIONAL OR IMPLICATIONS:CONDITIONAL STATEMENTS:Consider the statement: "If you earn an A in Math, then I'll buy you a computer."This statement is made up of two simpler statements:p: "You earn an A in Math," andq: "I will buy you a computer."if p is true, then q is true, or, more simply, if p, then q. We can also phrase this as p implies q,and we write p q.It is false when p is true and q is false; otherwise it is true. The arrow " " is the conditionaloperator, and in p q the statement p is called the hypothesis and q is called the conclusion.TRUTH TABLE:pqpqTTFFTFTFTFTTExample:Construct a truth table for the statement form p ~ q ~ ppTTFFqTFTF~pFFTT~qFTFTp ~qTTFTp ~q ~ pFFTTINVERSE, CONVERSE AND CONTRA POSITIVE OF A CONDITIONALSTATEMENT:If p q thenKhawaja Tariq Mahmood.Page 2Lecture # 3CONDITIONAL & BICONDITIONAL~p~qInverse:qpConverse:Contra positive: ~ q ~ pTRUTH TABLE:pTTFFqTFTF~pFFTT~qF

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