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[公告] 離散數學、分類題庫勘誤
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凌政楠
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Aug 2, 2013, 10:16:33 PM
8/2/13
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離散第五版上冊
2-2基本關係
p2-31 第二行是否應該為 : 1+1 =/= 10?
林立宇(wynne)
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Aug 3, 2013, 1:47:23 PM
8/3/13
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是的, 謝謝同學幫忙更正, 勘誤檔已更新
Leo
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Oct 29, 2013, 9:38:47 AM
10/29/13
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離散第五冊分類題庫
P5-36 5-57
最後n的範圍應該還是大於等於4?
林立宇
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Oct 29, 2013, 1:18:11 PM
10/29/13
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n從哪裡開始會對, 不是看原本題目列的, 要看初始條件
這裡n大於等於2都對, ∀n = 2^k
因為初始條件a2也會滿足我們求得的an
同學可以觀察一下其他題, 寫法都一樣
月戀星辰
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Oct 30, 2013, 1:30:50 AM
10/30/13
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助教,我想請問這一題。老師解答中,(c)解 Dn時邊界條件用了D0,但是我認為D0並沒有定義,因為Dn的定義是由矩陣來的。
儘管解答提到:「D2=D1+D0」中,有D2與D1,所以可得出D0=1,但是這式子本身定義域沒有 n=2的情況,所以應當不能因為這式子滿足來定義D0=1。
並不是D0=1不影響答案就可以這樣假設,邏輯上不合理。
以上是我的想法,請問助教,解答用到D0是否會有問題呢?
林立宇
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Oct 31, 2013, 9:04:16 AM
10/31/13
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用D1, D2求D0沒問題呀
不太懂你說"本身定義域沒有 n=2"是甚麼意思
(a)小題不就請你求D2嗎?
原本遞迴式是Dn = 3Dn-1 + Dn-2
所以D0 = D2 - 3D1 = 4 - 3 = 1
林立宇
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Oct 31, 2013, 9:06:52 AM
10/31/13
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我知道你問題出在哪了
這題有陷阱, 討論遞迴時要對最後一行(or列)展開
不能對第一行(or列)
月戀星辰
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Nov 1, 2013, 1:51:54 AM
11/1/13
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問題就在: D0=D2-3D1 這條式子上面,Dn=det(Mn) ,但 M0 未定義,所以 D0 也未定義。因此我認為 Dn=3Dn-1+Dn-2 中, n>=3才成立。
若該式 n>=3 才成立,那 D0=D2-3D1 就不合理了,無論答案是對是錯,寫出 D0=D2-3D1 感覺就是有問題。
月戀星辰
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Nov 1, 2013, 1:51:55 AM
11/1/13
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林立宇
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Nov 2, 2013, 11:16:08 AM
11/2/13
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就是因為原本沒定義所以我們才需要我們自己定義阿
話說這手法我們以前不是很常用, 怎麼你突然會有問題?
只要我們的定義有符合遞迴式,
那套用原本初始條件的定義要往前多定幾項都沒有問題,
因為算出來的an的closed form一定會是正確的
如果你還是覺得不太舒服, 那就直接拿D1, D2下去算也OK
而老師用D0, D1來求解, 其嚴謹性是絕對沒問題的
月戀星辰
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Nov 2, 2013, 1:05:17 PM
11/2/13
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我想是太久沒看題目了,想想好像也有道理
好吧,聽助教的準沒錯
謝囉,早點睡
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林立宇
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Jul 8, 2015, 4:13:30 AM
7/8/15
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謝謝幫忙勘誤
更新後的勘誤表我等等放上
林立宇(線代離散助教wynne)
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Sep 17, 2016, 11:31:07 AM
9/17/16
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附檔是離散數學第五版勘誤。
第四版以前的勘誤,請至
http://zjhwang.blogspot.tw/
下載。
Last updated: 2016-08-04
離數第五版勘誤.pdf
離散第五版題庫勘誤.pdf
opp wow
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Aug 4, 2015, 10:53:00 AM
8/4/15
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to 黃子嘉 - 線代離散研究室
可以請問一下四版的勘誤哪裡可以下載呢??
我到網站裡下載,可是網址點進去的連結都已經沒有東西跑出來了..
林立宇
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Aug 5, 2015, 2:44:27 PM
8/5/15
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to 黃子嘉 - 線代離散研究室
舊版(第四版)
離散數學的勘誤請參考此篇的附件
chap10.pdf
chap7.pdf
chap8.pdf
chap9.pdf
離散數學第四版分類題庫勘誤.pdf
離散數學第四版習題解答勘誤.pdf
chap12.pdf
chap13.pdf
chap1.pdf
chap2.pdf
chap3.pdf
chap4.pdf
chap5.pdf
chap6.pdf
Peter
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Oct 5, 2015, 2:08:47 AM
10/5/15
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to 黃子嘉 - 線代離散研究室
題庫P3-46: 3-102
最後一行的 +C(4,3) 7! / 4! 要改成
-
C(4,3) 7! / 4!
林立宇
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Oct 6, 2015, 11:26:22 AM
10/6/15
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to 黃子嘉 - 線代離散研究室
OK, 謝謝幫忙更正
dason
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Oct 17, 2015, 11:29:56 AM
10/17/15
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1.課本p9-97 定理(2) 證明
第2行 f(a^i
‧
a^j)=a^i+j 是不是應該改成 f(a^i
‧
a^j)=
f(
a^i+j
)
好像少了f括號@@
2.課本p10-107 範例4 解答(b) 小題
最後面
∃x
∃y
T(x,y) 是不是要改成
∃x
∀
y
T(x,y)
3.課本p10-33 下面注意事項10-10
第(2)項最後面敘述O為宇上界符號,應該是宇
下
界符號
4.課本p10-40 例題20
題目敘述(P(x),
⊆) 為有界絡、
分布絡,應該是分
配
絡
課本p10-41 注意事項10-13第一行後面敘述對偶數,應該改成對偶
性
吧!!
5.題庫p10-56 第10-102題
最後面一行箭頭方向應該要改成
--->
吧~!?
Hsin Hung Lin
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Nov 27, 2015, 10:39:51 PM
11/27/15
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分類題庫習題解好像有錯3-8 只有五個女生,解答打字打六個
林立宇
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Dec 2, 2015, 10:14:33 AM
12/2/15
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to 黃子嘉 - 線代離散研究室
好的, 謝謝同學們!!
莊家豐
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Mar 26, 2016, 11:52:50 AM
3/26/16
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老師您好,我這裡有之前有發現的一些錯誤
p.9-22 定理9-4的證明,第二行的"{"後的第二行應該是 a * b
'
= b
'
* a = e
_ _ _
p.10-58 例31的題目應該是f(x,y,z) = x + x y z
林立宇
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Apr 9, 2016, 1:32:41 PM
4/9/16
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to 黃子嘉 - 線代離散研究室
哈囉, 家豐謝謝你噢
改天有遇到你我們再好好聊聊 :-)
明諺鍾
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May 13, 2016, 9:59:20 AM
5/13/16
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to 黃子嘉 - 線代離散研究室
分類題庫的P1-19 第1-46題勘誤
應該是P-21 第1-49題的勘誤
還是我書不太一樣
邱淳浩
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Jul 30, 2016, 2:47:03 AM
7/30/16
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to 黃子嘉 - 線代離散研究室
請問離散3-36 ghi解答有錯嗎
林立宇
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Aug 3, 2016, 3:51:56 PM
8/3/16
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to 黃子嘉 - 線代離散研究室
1-46題也有錯, 之前勘誤時不小心蓋掉了
謝謝同學幫忙勘誤
上冊p3-36沒錯
kristopherneil
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Oct 18, 2016, 6:00:05 AM
10/18/16
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to 黃子嘉 - 線代離散研究室
想請問一下P1-55的例48
最後部分1001(15-224k)+224(-67+1001k)
224k與1001k是否要除公因數7
取1001(15-32k)+224(-67+143k)
Wei
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Aug 17, 2017, 5:34:44 AM
8/17/17
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to 黃子嘉 - 線代離散研究室
題解2-45 a小題解答第4行y=2的-k次方乘上y
不知是否改成y=2的-k次方乘以x
20170817_124755.jpg
Hsin Yeh
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Nov 25, 2017, 1:53:38 PM
11/25/17
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to 黃子嘉 - 線代離散研究室
課本 p.3-62 範例3
解析倒數第二行應該是 N(a1a2) = 0
線代小學徒
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Dec 7, 2018, 11:32:01 PM
12/7/18
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to 黃子嘉 - 線代離散研究室
請問題庫P4-9頁 的第4-13題 第三行開始是否錯了
Fan
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Apr 17, 2020, 6:05:04 AM
4/17/20
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to 黃子嘉 - 線代離散研究室
您好, 題庫解答 P3-19, 3-41題, 答案應該是不用除以2!, 謝謝
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