雖然好像很久之前就已經開始了

可是今天才真正的踏出了第一步

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瞬間 不見了兩個月

好像也沒有成長甚麼

一堆事情結束

也一堆事情開始

等到這些結束

是否也有其他開始

加一點點油

往前進

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想找個地方去

流浪到那邊去

找不到

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其實很有趣

不光光只是組合的部分

我認為離散教我學會一件事情

不要只用一個角度看世界

很多的方向都有不同的觀點

卻可以導向同一個結果

一邊很曲折 另一邊卻是捷徑

而且

真正用到的數學式子少之又少

用到很多很多很多的腦袋

有可能想破頭

結果只是卡在一個小地方

有趣

大家一起學離散數學吧!!

Posted by IamLovingyou at 痞客邦 PIXNET 留言(1) 引用(0) 人氣()

A partial order on a set X is a reflexive, antisymmetric, and transitive relation R.
A set X on which a partial order <= is defined is sometimes referred to as a
"partially ordered set"(or sometimes simply as a "poset") and denoted by (X, <=)

In a "chain" every of any elements is comparable.
In an "antichain" every pair of elements is incomparable.

Let (X, <=) be a finite partially ordered set, and let r be the largest size of a chain.
Then X can be partitioned into r but no fewer antichains.

The dual theorem is generally known as Dilworth's Theorem.

Let (X, <=) be a finite partially ordered set, and let m be the largest size of an antichain.
Then X can be partitioned into m but no fewer chains.

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We call a linear transformation T non-singular if Tx=0 implies x=0.

Let T be a linear transformation form V into W.
Then T is non-singular
if and only if
T carries each linearly independent subset of V
onto a linearly independent subset of W.

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Ramsey number

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聽說是贏了

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