[問題]數論

---- 於 星期四 五月 15, 2003 4:23 pm


scsnake 寫到:clever meow!!!


agree!!! marvellous!!

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--- 於 星期四 五月 15, 2003 8:26 pm


It's done by three of us. I can't do it without you 2.

Share the $$, OK?

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Raceleader 於 星期四 五月 15, 2003 8:30 pm


all 1000

Raceleader
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---- 於 星期四 五月 15, 2003 8:42 pm


[x^k]=k(mod 2)
Prove that there exists x such that for all k E N that satisfies the above identity.
1983年美國第44屆普特南大學生數學競賽的試題A-5
If it's not stated as the exercises of newton's identity, I will never have an idea to tackle this problem.

得分情況很恐怖:
2055 university students joined.
最高分的195名學生在此題的得分分佈:
10分  1 人
9 分 1 人
8 分 1 人
1-7分 0人
0 分 192 人
very terrible!!

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Raceleader 於 星期四 五月 15, 2003 8:44 pm


10分 1 人

No, Meowth can get >=11 marks, because all markers' level is poorer than him

Raceleader
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---- 於 星期四 五月 15, 2003 8:46 pm


Raceleader 寫到:10分 1 人

No, Meowth can get >=11 marks, because all markers' level is poorer than him

definitely agree!

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--- 於 星期四 五月 15, 2003 8:47 pm


siuhochung 寫到:[x^k]=k(mod 2)
Prove that there exists x such that for all k E N that satisfies the above identity.
1983年美國第44屆普特南大學生數學競賽的試題A-5
If it's not stated as the exercises of newton's identity, I will never have an idea to tackle this problem.

得分情況很恐怖:
2055 university students joined.
最高分的195名學生在此題的得分分佈:
10分  1 人
9 分 1 人
8 分 1 人
1-7分 0人
0 分 192 人
very terrible!!


So, scsnake can get 10 points.

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Raceleader 於 星期四 五月 15, 2003 8:48 pm


Marker's said: Meowth, can you be a chief professor in our University.  I think the exam paper you set up, then no one can get marks  ㄏㄏㄏ

Because all are over doctor's level

Raceleader
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Raceleader 於 星期四 五月 15, 2003 8:49 pm


I get 0 marks there

Raceleader
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Raceleader 於 星期四 五月 15, 2003 8:52 pm


所有哈佛,耶魯等博士考生都只得交白卷,因為題目全世界沒有人能解到任何一小部份

Raceleader
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scsnake 於 星期四 五月 15, 2003 8:52 pm


Meowth 寫到:
siuhochung 寫到:[x^k]=k(mod 2)
Prove that there exists x such that for all k E N that satisfies the above identity.
1983年美國第44屆普特南大學生數學競賽的試題A-5
If it's not stated as the exercises of newton's identity, I will never have an idea to tackle this problem.

得分情況很恐怖:
2055 university students joined.
最高分的195名學生在此題的得分分佈:
10分  1 人
9 分 1 人
8 分 1 人
1-7分 0人
0 分 192 人
very terrible!!


So, scsnake can get 10 points.


赫然出現敝人的小名??

scsnake
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---- 於 星期四 五月 15, 2003 8:55 pm


scsnake 寫到:
Meowth 寫到:
siuhochung 寫到:[x^k]=k(mod 2)
Prove that there exists x such that for all k E N that satisfies the above identity.
1983年美國第44屆普特南大學生數學競賽的試題A-5
If it's not stated as the exercises of newton's identity, I will never have an idea to tackle this problem.

得分情況很恐怖:
2055 university students joined.
最高分的195名學生在此題的得分分佈:
10分  1 人
9 分 1 人
8 分 1 人
1-7分 0人
0 分 192 人
very terrible!!


So, scsnake can get 10 points.


赫然出現敝人的小名??


為台灣爭光---scsnake 有83年大學賽中成為成績最高195名學生中唯一在A-5得到10分的人

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--- 於 星期四 五月 15, 2003 8:56 pm


Raceleader 寫到:
Because all are over doctor's level


Indeed, but the "doctor" is "medical doctor", the "level" is "mathematics level". Usually, a medical doctor's mathematics level, is as good as a high school boy, or worse.

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---- 於 星期四 五月 15, 2003 8:59 pm


Meowth 寫到:
Raceleader 寫到:
Because all are over doctor's level


Indeed, but the "doctor" is "medical doctor", the "level" is "mathematics level". Usually, a medical doctor's mathematics level, is as good as a high school boy, or worse.

他漏打了三個字母
should be doctorate...
你不能抵賴~

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--- 於 星期四 五月 15, 2003 9:03 pm


scsnake took 20 minutes.
Kang took 1 hr.
Meowth took 2 days.

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scsnake 於 星期四 五月 15, 2003 9:07 pm


詭異∼

scsnake
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---- 於 星期四 五月 15, 2003 9:08 pm


Meowth 寫到:scsnake took 20 minutes.
Kang took 1 hr.
Meowth took 2 days.

meowth took 1 minute
scsnake took 20 minutes.
kang took 30 days

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Raceleader 於 星期四 五月 15, 2003 9:20 pm


Meowth: 1 sec can digest the question, 1 sec to think the solution

Raceleader
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scsnake 於 星期四 五月 15, 2003 9:22 pm


and 1sec to post the answer

scsnake
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Raceleader 於 星期四 五月 15, 2003 9:25 pm


He can answer all questions correctly of IMO in 1 min, and then leave the hall early, all ppl envy him why can go out within 1 minutes.  He said, "IMO is too easy"

Raceleader
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