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轉學考-離散數學
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103年 - 103 淡江大學 轉學考 離散數學#55464
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題組內容
4. Define S = {a, b, c, d, e). (20 pts)
(b) find the number of the onto functions/from S to {1,2, 3} such that f(a) =1.
其他申論題
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
3. Prove by induction: for all positive integer n. (l0pts)
#208697
(a) How many permutations are there to arrange a〜e in a row such that a and e are not together;
#208698
(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
1. Solve(sin x cos y)dx + (cos x sin y)dy = 0. (20%)
#208704
2. Solve y''+3y'- 4y=0, y(0) = 2, y'(0) = 1.(20%)
#208705
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