\sum{min{a_n, b_n}} converges, while \sum{a_n} and

kindlychung · 发表于 2010-9-28 13:46

[这个贴子最后由kindlychung在 2010/09/29 09:31pm 第 2 次编辑]

1    1     1/3 1     1/5 1     1/7 …
1    - 1/2 1    - 1/4 1     - 1/6 1    …
The second part of the problem is more difficult.

elimqiu · 发表于 2010-9-28 20:48

Nice problem. Let me think about it. I have no clue right now. Thanks

elimqiu · 发表于 2010-9-28 21:04

Oh, I think I have the solutions now I need some time to write it down. What I can say now is that the idea is quite simple and intuitive.

kindlychung · 发表于 2010-9-28 21:27

OK, looking forward to it.

elimqiu · 发表于 2010-9-28 22:56

[这个贴子最后由elimqiu在 2010/09/28 03:58pm 第 1 次编辑]

I';ve got the book from sina / ishare

kindlychung · 发表于 2010-9-29 21:33

Sorry, I don';t know those symbols above, could you please instruct me?

kindlychung · 发表于 2010-9-29 21:34

I';ve got the book from sina / ishare

What book?

elimqiu · 发表于 2010-9-29 21:45

2 | k simply mean k is even.... Number theory notation

kindlychung · 发表于 2010-9-30 13:28

I';ve got the book from sina / ishare

What is the book that you referred to?[br][br]-=-=-=-=- 以下内容由 kindlychung 在时添加 -=-=-=-=-
另外可以把5楼的latex code发一下吗？I want to know how write latex code for functions that are defined differently in different intervals. (What do you call that, a step function?)

elimqiu · 发表于 2010-9-30 13:30

the book you';re using

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\sum{min{a_n, b_n}} converges, while \sum{a_n} and

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