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# am_lect_14 - Announcements Midterm 1 is on Wednesday Time...

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Announcements Midterm 1 is on Wednesday Time: 7pm to 9pm Location: 141 Wohlers Hall Lecture on Wednesday is optional: exam-related Q&A Extra office hour on Wednesday: 11am to 12pm

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Another False Proof Claim ”: P ( A ) P ( B ) = P ( A B ) Proof ”: Let S P(A) P(B). Then S P(A) or S P(B) So S A or S B So S A B Hence S P ( A B ) Let S P ( A B ) So S A B So x , x S x A B x , x S x A or x B S A or S B So S P ( A ) or S P ( B ) So S P ( A ) P ( B )
Functions In a programming language like C or Java, we declare functions like this: int f(int x) { // int argument, int return value return 2*x; } In general, a function each argument a unique return value The set from which arguments are drawn is called the domain The set from which return values are drawn is called the co-domain In our example, arguments and return values are both int s So, f : Z → Z and is defined by f ( x ) = 2 x

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Functions contd.
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