Re: [理工] [數學]-中興100-資訊所
※ 引述《seanptt (WsW)》之銘言:
: Using predicates and quantifiers to express the statement "every
: student in this class has studied Discrete Mathematics".
: Answer the question in the case for domain of variables is
: (a) all students in the class and
: (b) all students in the school respectively.
: 看不懂這題要我們表達什麼
: 題目敘述就已經給了 domain,為何下面問題又給定 domain
我想應該是
1.上面給一個文字的敘述:
"Every student in this class has studied Discrete Mathematics."
2.下面給兩個domain (a)跟(b):
3.要你 Using predicates and quantifiers 去表示這個敘述
所以 令P(x) = x has studied Discrete Mathematics
Q(x) = x is in this class
則
(a) ∀x, P(x)
因為domain是all students in the class
所以所有的x都使P(x)成立
(b) ∀x, Q(x) -> P(x)
因為domain是all students in the school
所以滿足Q(x) (即是此class的學生) 則 P(x)成立
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03/01 19:50, , 1F
03/01 19:50, 1F
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