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109年 - 109 國立高雄大學_碩士班招生考試_資訊工程學系:離散數學#103285
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題組內容
3. (9%) Determine which of the following arguments are valid and which are invalid. Provide an explanation for each answer.
a) All students go to school.
John is a student
Therefore John goes to school.
相關申論題
(b) All citizens pay their taxes. Tom pays his taxes. Therefore Tom is a citizen.
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(c) All people who are concerned about the environment recycle their plastic containers. Margarita is not concerned about the environment. Therefore Margarita does not recycle her plastic containers.
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4. (10%) Use the Principle of Mathematical Induction to prove that
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5. (10%) If , show that the number of assignments to assign n people into n-2 groups without group labeling is .
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6. (10%) S = {1, 2, 3, 4, 5, 6, 7, 8, 9}. If six elements are selected from S, show that two of them must have the sum 10.
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7. (8%) Consider the students of a class. Let R is the relation that x R y if x and y live in a same hometown. Determine whether R is reflexive, symmetric, antisymmetric, or transitive.
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(a) Show the Hasse diagram of R.
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(b) What are the (i) maximal, (ii) minimal, (iii) greatest, and (iv) least elements of the poset (S, R)?
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(c) B={2, 3}. What are the (i) lower and (ii) upper bounds of B?
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第一題: 消費者行為常取決於個體心理需求,請說明何謂成就需求(achievement need)、依附需 求(affiliation need)、秩序需求(order need)?此外,如何運用此些需求概念於行銷措施中, 請舉例說明。【25 分】
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