CSE20_Lect14_sol.pdf - CSE 20 DISCRETE MATH Yeonkyung Kim...

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CSE 20 DISCRETE MATH Yeonkyung Kim Clicker frequency: AB Wednesday, May 13, 15
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Todays topics Proof by induction Section 3.6 in Jenkyns, Stephenson Wednesday, May 13, 15
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Mathematical induction Wednesday, May 13, 15
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Mathematical induction “For all integers n >= a, P(n).” Base case - push first domino Inductive step – n th domino pushes the n+1 th Wednesday, May 13, 15
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Mathematical induction “For all integers n >= a, P(n).” Base case - Prove that P(a) is true. Induction Hypothesis: Assume P(k-1) is true for some k>a. Inductive step: Prove P(k) is true. No need to prove P(k-1) is actually true. Just assume!! Using induction hypothesis, recursive relation between P(k-1) and P(k), and more .... Induction: If P(k-1) is true for some k>a, then P(k) is true. Wednesday, May 13, 15
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Mathematical induction “For all integers n >= a, P(n).” Base case - Prove that P(a) is true. Induction Hypothesis: Assume P(k-1) is true for some k>a.
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