健翰 asked in 科學數學 · 7 years ago

求解 集合

令A={0,1},B={a} 試列出以下各集合之元數與基數

求 P(A)XP(B) 和 |P(A)XP(B)|

令A={c,o,m,p,u,t,e,r} B{c,o,r,e} C{t,e,r,m} 找出以下集合 並畫出文氏圖

求 J (A-B)UC

拜託大大教我怎麼算

看不太懂

3 Answers

Rating
  • Lopez
    Lv 7
    7 years ago
    Favorite Answer

    第一題 :

    P(A)

    = the power set of A

    = { ∅ , {0} , {1} , {0,1} }

    P(B)

    = the power set of B

    = { ∅ , {a} }

    P(A) X P(B)

    = the Cartesian product of P(A) ans P(B)

    = { ∅ , {0} , {1} , {0,1} } X { ∅ , {a} }

    = { ( ∅ , ∅ ) , ( {0} , ∅ ) , ( {1} , ∅ ) , ( {0,1} , ∅ ) ,

    ( ∅ , {a} ) , ( {0} , {a} ) , ( {1} , {a} ) , ( {0,1} , {a} ) }

    = {

    圖片參考:http://imgcld.yimg.com/8/n/AC09299269/o/2014021823...

    } .....Ans

    第二題 :

    A - B

    = {c,o,m,p,u,t,e,r} - {c,o,r,e}

    = {m,p,u,t}

    (A-B) U C

    = {m,p,u,t} U {t,e,r,m}

    = {m,p,u,t,e,r} .....Ans

    Venn diagram :

    圖片參考:http://imgcld.yimg.com/8/n/AC09299269/o/2014021823...

    2014-02-18 23:28:21 補充:

    P 是 power set 的意思

    J 應該是誤打的,沒有意思

    2014-02-18 23:33:45 補充:

    註:

    第一題的Cartesian product要展開實在是太麻煩了,

    所以我是用Excel 的文字函數來輔助.

    2014-02-18 23:36:11 補充:

    漏了第一題的第(2)小題,補在這裡 :

    | P(A) X P(B) | = 4*2 = 8 ...Ans

    2014-02-18 23:45:14 補充:

    第一題的第(1)小題答案中,第1個元素好像應該再化簡:

    { {∅} , { ∅ , ∅} }

    = { {∅} , { ∅} }

    = { {∅} }

  • Anonymous
    7 years ago

    到下面的網址看看吧

    ▶▶http://misshare168.pixnet.net/blog/post/86950298

  • 7 years ago

    題一, P 是什麼意思?

    題二, J 是什麼意思?

    2014-02-19 00:26:01 補充:

    好!

    ╭∧---∧╮

    │ .✪‿✪ │

    ╰/) ⋈ (\╯

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