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102年 - 102 淡江大學 轉學考 資訊概論#53068
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6. Multiple Choice Questions (10%)
其他申論題
(1) Show the resulting relations if you apply the SQL statements: Select * from COURSES where IJNIT-5. (10%)
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(2) Show the resulting relations if you apply the SQL statements: Select No, Course-name, Ur Professor from COURSES, TAUGHT-BY where COURSES.No= TAUGHT-BY.No. (10%
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4. Show the content of stack SI and the value of variables x and y after the following algorithm segments is executed. (10%) Stack(Sl); push(S 1, 5); push(Sl, 3); push(S 1, 2); If (not empty(Sl)) pop(Sl, x); If(not empty(S 1)) pop(Sl, y); Push(Sl,6)
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5. Find the Huffman tree for the following characters using Huffman coding with the given frequencies: A(12), B(8), C(9), D(20), E(31), F(14), G(8). (15%)
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【已刪除】 (a) Suppose p is a prime number and a is an integer, (a,p) — 1. Prove that ap~11 (mod p).
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(b) What is the remainder when 3535 is divided by 37?
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2. (12 pts) Prove or disprove: If G is a group of order 53, then G must be cyclic.
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3. (12 pts) Suppose G = {e, a, 6, c} is a group of order 4; but it contains no element of order 4. Write out the operation table for G.
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(a) Prove that every finite integral domain is a field.
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(b) Give an example of an integral domain which is not a field.
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