k ∈N = 自然數???

2007-01-23 1:50 am
k∈N 是解k是自然數???
另外還有什麼例子是k∈sth

回答 (4)

2007-01-24 1:06 am
✔ 最佳答案
My dear cousin
Seems that you are not familar to Set theory
Let me introduce you this topic
A set can be interpreted as a bag containing some objects
These objects are called "the elements" of the set.
e.g. Let S be the set of atoms in the whole world, then every single atom is an element of S.
Back to your question,
mathematicians use spectial symbols (N, I, Q, R and C) to show the set of Natural no.s, intergers, Rational no.s, Real no.s and complex no.s.
The expression " a ∈S " means " a is an element of the set S".
Therefore,
k ∈N means k is a natural no.
k ∈I means k is an integer
k ∈Q means k is a rational no.
k ∈R means k is a real no.
k ∈C means k is a complex no.
ect.
If you are interested in Set theory, you may read the book "Stories about Sets (集的故事)", it is a very good book to beginners.
At last, I would like to conclude with 2 question
i )Do the set N has less elements than that in I?
ii)Do the set I has less elements than that in Q?
The answer of this two questions can be found in the book mentioned above.
2007-01-30 6:45 pm
May be you could have some ideas from the following web site:
http://zh.wikipedia.org/w/index.php?title=Zermelo_%E9%9B%86%E5%90%88%E8%AE%BA&variant=zh-hk
2007-01-30 1:41 am
WOW~!@@
2007-01-23 1:57 am
k∈R:k係實數
參考: me


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