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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.
(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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第二題: 行銷人員常利用學習理論概念以強化消費者行為(reinforcing behavior),請解釋何謂正 向增強(positive reinforcement)、負向增強(negative reinforcement)?並舉例說明其行銷應用 做法。【25 分】
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