discrete mathematics
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Let X be a finite set f : X → X a function. Prove that f is injective if and only if f is surjective
Proof:Suppose f is injective. Then we assume that f is not surjective and find a contradiction. Let x ∈ X be such that f(y) 6= x for any y ∈ X. However, since each x ∈ X must go to an element of X...转载 2018-08-12 20:26:58 · 1172 阅读 · 0 评论 -
9024复习
Binary SearchBinarySearch(v, a, lo, hi) input value v array a[lo...hi] of values output true if v in a[lo...hi] false otherwise mid = (lo + hi)/2 if lo > hi return false if a[mid] = v r...原创 2019-05-10 20:18:52 · 577 阅读 · 0 评论 -
9801
In 9801, the algorithms sre sequentialdeterministicIf the actin of each step gives the same result whenever this step is executed for the same inputrandomizedthe execution involves some random pr...原创 2019-05-26 08:41:03 · 224 阅读 · 0 评论 -
Stable Matching Problem
ProblemAssume that you are running a dating agency and haven men and nwomen as customers;They all attend a dinner party; after the partyevery man gives you a list with his ranking of all women per...原创 2019-05-28 11:14:53 · 441 阅读 · 0 评论
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