[理工] [離散]等價類

看板Grad-ProbAsk作者 (好崩潰)時間14年前 (2011/11/17 00:21), 編輯推噓1(1推 0噓 5→)
留言6則, 4人參與, 最新討論串1/1
On the set Z of all integers, define the relation R by R={(a,b)屬於ZxZ|a^2-b^2 is divisible by 5}. Show that R is equivalence relation. Find the equivalence classes of this equivalence relation on Z. 證明等價關係我會 至於要找等價類我想應該是[0][1][2][3][4] 可是答案是說[0][1][2] 不太懂為什麼.. 有請高手幫忙解惑 鋼溫!! -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 223.138.240.24
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11/17 00:24, , 1F
[1] = [4] , [2] = [3]
11/17 00:24, 1F
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11/17 00:27, , 2F
不太懂...有勞B大可以說仔細一點嗎?
11/17 00:27, 2F
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11/17 01:39, , 3F
4^2-1^2=16-1=15 ,so [1]=[4]
11/17 01:39, 3F
推
11/17 21:45, , 4F
其實1樓說得很清楚了.. 寫 [0] [1] [2] 等同
11/17 21:45, 4F
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11/17 21:45, , 5F
[0] [1]=[4] [2]=[5]
11/17 21:45, 5F
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11/17 22:46, , 6F
感謝V大...我想應該是懂了
11/17 22:46, 6F
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文章代碼(AID): #1Em-C920 (Grad-ProbAsk)