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103年 - 103 淡江大學 轉學考 離散數學#55464
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3. Prove by induction:
for all positive integer n. (l0pts)
其他申論題
三、計算題：每題5分（計算過程要寫清楚） 1若 = ?
#208693
2.四正數a，b，c，d成等比數列，若a+ 6 = 8，c + d=162，則公比r = ?
#208694
3.—皮球自高80公尺處落下，每次反跳高度爲落下高度的，則此球自落下到靜止共經過多少距離？
#208695
2. Determine whether is a tautology by constructing a truth table. (l0pts)
#208696
(a) How many permutations are there to arrange a〜e in a row such that a and e are not together;
#208698
(b) find the number of the onto functions/from S to {1,2, 3} such that f(a) =1.
#208699
(a) Show the relation R is an equivalence relation;
#208700
(b) indicate the corresponding partition on A.
#208701
(a) Use Dijkstra’s algorithm to find the length a shortest path between the vertices a and i.(必須標示出每一個步驟的結果）
#208702
(b) Use Kruskal’s algorithm to find a minimum spanning tree. (必須標示出邊被選擇的順序）
#208703
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for all positive integer n. (l0pts)