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轉學考-離散數學
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97年 - 97 淡江大學 轉學考 離散數學#55809
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1. Prove that if an integer a is such that a — 2 is divisible by 3, then α
2
- 1 is divisible by 3. (20%)
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#211021
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#211023
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【已刪除】2. Determine Ihe number of (staircase) paths in the xy plane from (2, 1) to (7,4), as shown in the following figure, where each such path is made up of individual steps going one unit to the right (R) or one unit upward (U). (20%)
#211026
【已刪除】3. Prove by induction lhat for any . (20%)
#211027
【已刪除】4. Solve the recurrence relation (20%)
#211028
5. Prove or disprove that any subset of size six from the set S= {1, 2, 3,..., 9} must contain two elements whose sum is 10. (20%)
#211029
⑴在「隆端古寺案」(Case Concerning the Temple of Preah Vihear, Preliminary Objection) 中,國際法院針對泰國先後提出的兩個錯誤問題,見解為何?請說明之。(15 分)
#211030
⑵1969 年條約法公約第 48 條針對錯誤的規定為何?請說明之。(10 分)
#211031