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全部话题 - 话题: infinitely
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i****g
发帖数: 3896
1
来自主题: Mathematics版 - 张老师是个chain smoker
能不能不要只盯着这些无聊的生活细节啊?他的学生对他评价都很高,绝对是一位优秀
的老师:
This man taught me calculus. A wonderful gentleman and a phenomenal
instructor.
[+]Temorse 282 points283 points284 points 12 hours ago (11 children)
[–]Temorse 282 points283 points284 points 12 hours ago
I was also lucky enough to have him as my calc professor, twice. The first
thing he would tell us at the beginning of each term was, "My name is Yitang
Zhang, but in China, you would call me Zhang Yitang." Then he would erase
both names off the white ... 阅读全帖
k*********g
发帖数: 791
2
来自主题: SJTU版 - 好消息,宇宙不会热涨死!
\section{Classical Thermodynamics: heat death}
Next let us carefully and rigorously recheck how the conclusion of
heat death of the universe is drawn. Basically, an \emph{isolated}
system with \emph{finite} volume is studied and it is discovered
that the entropy of the system always increases. Then it is
claimed that at some time point in the future, very very far
future, the universe will end up with a heat death.
There is a fundamental mathematical error in the above line of
logical inference.... 阅读全帖
k*********g
发帖数: 791
3
来自主题: Computation版 - 好消息,宇宙不会发生heat death!
\section{Classical Thermodynamics: heat death}
Next let us carefully and rigorously recheck how the conclusion of
heat death of the universe is drawn. Basically, an \emph{isolated}
system with \emph{finite} volume is studied and it is discovered
that the entropy of the system always increases. Then it is
claimed that at some time point in the future, very very far
future, the universe will end up with a heat death.
There is a fundamental mathematical error in the above line of
logical inference.... 阅读全帖
f**d
发帖数: 768
4
来自主题: Neuroscience版 - eBook: From computer to brain
这是一本计算神经科学的优秀著作,全文拷贝这里(图和公式缺),有兴趣的同学可以
阅读
如需要,我可以分享PDF文件(--仅供个人学习,无商业用途)
From Computer to Brain
William W. Lytton
From Computer to Brain
Foundations of Computational Neuroscience
Springer
William W. Lytton, M.D.
Associate Professor, State University of New York, Downstato, Brooklyn, NY
Visiting Associate Professor, University of Wisconsin, Madison
Visiting Associate Professor, Polytechnic University, Brooklyn, NY
Staff Neurologist., Kings County Hospital, Brooklyn, NY
In From Computer to Brain: ... 阅读全帖
w*******y
发帖数: 60932
5
来自主题: _DealGroup版 - 【$】43 Free Kindle e-Books
Amazon offers the following Kindle titles for free.
Some titles are not for kids
Enjoy!
The Fence My Father Built [Kindle Edition]:
http://www.amazon.com/Fence-My-Father-Built-ebook/dp/B004GHNIK2
A Christmas Jar for Santa - A Christmas Jars Story [Kindle Edition]:
http://www.amazon.com/Christmas-Jar-Santa-Story-ebook/dp/B0065P
eye of the god [Kindle Edition]:
http://www.amazon.com/eye-of-the-god-ebook/dp/B004GHNIIO
The Prayers of Agnes Sparrow [Kindle Edition]:
http://www.amazon.com/Prayers-Agne... 阅读全帖
i****g
发帖数: 3896
6
http://blog.sina.com.cn/s/blog_c24597bf0101b871.html
致谢:I would like to thank Prof. Shing-Tung Yau for suggesting the title of

this article, Prof. William Dunham for information on the history of the
Twin Prime Conjecture, Prof. Liming Ge for biographic information about
Yitang Zhang, Prof. Shiu-Yuen Cheng for pointing out the paper of
Soundararajan cited in this article, Prof. Lo Yang for information about
Chengbiao Pan quoted below, and Prof. Yuan Wang for detailed information on
result... 阅读全帖
l***o
发帖数: 7937
7
(1)
Rumors swept through the mathematics community that a great advance had been
made by a researcher no one seemed to know — someone whose talents had
been so overlooked after he earned his doctorate in 1992 that he had found
it difficult to get an academic job, working for several years as an
accountant and even in a Subway sandwich shop.
“Basically, no one knows him,” said Andrew Granville, a number theorist at
the Université de Montréal. “Now, suddenly, he has proved one of the
great results... 阅读全帖
z**********g
发帖数: 16
8
来自主题: Physics版 - 电荷值与电子运动速度的关系
Thesis about the relationship between electron charge
value and electron moving velocity

Yilong Zhuang*
Shanghai Institute of Science and Technology Administration
Jiading,Shanghai 201800
Abstract: “The value of charge has no changes”has not been proved,
but is admitted as a truth.Now that the electron mass can been changed with
it’s moving velocity,then electric charges,as the expression of the
substance’s nature,can be changed accordingly.Following this clue,th... 阅读全帖
l**i
发帖数: 8144
9
来自主题: Military版 - Anthropic principle
简单地讲 就是谋事在人 成事在天
认为社会发展沿着某个预定方向发展的理论 都是傻逼理论
--------------------------------------
Anthropic principle
From Wikipedia, the free encyclopedia
In astrophysics and cosmology, the anthropic principle is the philosophical
argument that observations of the physical Universe must be compatible with
the conscious life that observes it. Some proponents of the argument reason
that it explains why the Universe has the age and the fundamental physical
constants necessary to accommodate conscious life. As a ... 阅读全帖
c*********7
发帖数: 7607
10
来自主题: Faculty版 - How to improve writing skill?

19 Reviews
5 star:
(7)
4 star:
(6)
3 star:
(3)
2 star:
(2)
1 star:
(1)

Average Customer Review
3.8 out of 5 stars (19 customer reviews)

Share your thoughts with other customers:
Create your own review
Most Helpful Customer Reviews
92 of 108 people found the following review helpful:
1.0 out of 5 stars Buy a better book, January 10, 2003
By Barbara Nostrand "Barbara Nostrand" (Syracuse, NY USA) - See all my
reviews
(REAL NAME)
This review is from: BUGS in Writing, Revi... 阅读全帖
H****r
发帖数: 2801
11
http://games.ign.com/articles/116/1165247p1.html
The Electronic Entertainment Expo is a spectacular showcase of all things
video game, where developers, publishers and gamers from all over the world
gather to see what the future of gaming has to offer. All week long, our
editors will be seeing and playing every game at E3 2011 and updating our
list of nominations right here.
Best Overall Game
More Tomb Raider Videos
Tomb Raider
Elder Scrolls V: Skyrim
Batman: Arkham City
BioShock Infinite
Hitman... 阅读全帖
t******n
发帖数: 2939
12
☆─────────────────────────────────────☆
heathen (The real folk blues) 于 (Tue Mar 20 09:35:37 2012, 美东) 提到:
见两张附图。
☆─────────────────────────────────────☆
tgbrfv (cn) 于 (Tue Mar 20 09:45:09 2012, 美东) 提到:
中国赛车就是一个joke
韩寒是joke中的joke
水平比菲律宾女猴子还差
☆─────────────────────────────────────☆
Sleepingbag (semi infinite flag manifold) 于 (Tue Mar 20 10:08:35 2012, 美东) 提到:
文章中其他的还能看
那些作者自己的臆测还是不要写出来的好,开玩笑吧,MITBBS上基本上都是硕士以上学
历,臆测性的文字看了就想吐,当别人都是傻瓜啊
本来一篇考据的文章,就已经能让人看到一些真实的东西,加上那些没有根据地带有人
身攻击的臆测反而让这... 阅读全帖
t******n
发帖数: 2939
13
☆─────────────────────────────────────☆
l63 (l63) 于 (Thu May 23 00:34:22 2013, 美东) 提到:
假设素数只有有限个, 记为 p_1,p_2,...,p_k
考察 N = p_1*p_2*...*p_k + 1
可知: 对于任意i = 1,2,3,...,k, p_i 不能整除 N
由素数的定义:
a是素数 <=> a是大于1的自然数, 且a不被任何小于a的素数整除
可知: N是素数
这与素数只有p_1,p_2,...,p_k矛盾.
故假设不成立.
所以素数有无穷多个.
☆─────────────────────────────────────☆
l63 (l63) 于 (Thu May 23 00:37:03 2013, 美东) 提到:
在承认素数的这个等价定义 (即 a是素数 <=> a是大于1的自然数, 且a不被任何小于a
的素数整除) 的前提下, 居然有人会认为这个证明是错的, 或者是不完备的.
我实在不能理解.
求问一下大家, 是不是有的人的脑子天生有缺陷, 根本怎么教都不会明白... 阅读全帖
a*********3
发帖数: 660
14
All that city you just couldn’t see an end to it.
城市那么大,看不到尽头。
The end? Please? Can you please just show me where it ends?
尽头在哪里?可以给我看看尽头么?
Itwas all very final on that gangway and I was grant too in my over coat.I
cut quite a figure, and I was getting off, guaranteed. That wasn’tthe
problem.
当年,我踏上跳板,不觉得困难。我穿上大衣,很神气,自觉一表人才,有决心,有把
握,有信心。
It wasn’t what I saw that stopped me, Max, it was what I didn’t see。 Do
you understand that? What I didn’t see.
我停下来,不是因为所见,是因为所不见。你明不明白?是因为看不见的东西。
In all that ... 阅读全帖
w******0
发帖数: 1404
15
来自主题: TrustInJesus版 - myelsa, 可不可以回答一下我的问题?
infinite + infinite + infinite = infinite
This the uniqueness of infinite. If God is infinite, He is ONE!
d******s
发帖数: 180
16
来自主题: Mathematics版 - Goldston撰文介绍老张的工作
http://aimath.org/news/primegaps70m/
第一段就很有料,四月后期投稿,五月中旬便接受,对于一篇55页的paper来说速度惊
人。
Zhang's Theorem on Bounded Gaps Between Primes
by Dan Goldston
In late April 2013 Yitang Zhang of the University of New Hampshire submitted
a paper to the Annals of Mathematics proving that there are infinitely many
pairs of primes that differ by less than 70 million. The proof of this
amazing result was verified with high confidence by several experts in the
field and accepted for publication. A public slightly re... 阅读全帖
P*****t
发帖数: 4978
17
【 以下文字转载自 Mathematics 讨论区 】
发信人: endoscopy (暂时没有), 信区: Mathematics
标 题: 数学界的重大突破,据说Annals已经接受啦
关键字: 素数
发信站: BBS 未名空间站 (Tue May 14 05:58:29 2013, 美东)
没有人八卦这个吗?
今天的Nature已经刊登了新闻。
如果最终是对的话,我觉得是近50年来数学的重大结果
可能没有FLT对数学的促进大,但是不比费尔马大定里的影响小
对搞数学的来说 证明相差为70000000的素数有无穷多对和证明相差为2的素数有无穷多
对。并没有实质性的差别。意义是一样的。
http://www.nature.com/news/first-proof-that-infinitely-many-pri
First proof that infinitely many prime numbers come in pairs
Mathematician claims breakthrough towards solving centuries-old problem.
Magg... 阅读全帖
m*********a
发帖数: 2000
18
【 以下文字转载自 Mathematics 讨论区 】
发信人: endoscopy (暂时没有), 信区: Mathematics
标 题: 数学界的重大突破,据说Annals已经接受啦
关键字: 素数
发信站: BBS 未名空间站 (Tue May 14 05:58:29 2013, 美东)
没有人八卦这个吗?
今天的Nature已经刊登了新闻。
如果最终是对的话,我觉得是近50年来数学的重大结果
可能没有FLT对数学的促进大,但是不比费尔马大定里的影响小
对搞数学的来说 证明相差为70000000的素数有无穷多对和证明相差为2的素数有无穷多
对。并没有实质性的差别。意义是一样的。
http://www.nature.com/news/first-proof-that-infinitely-many-pri
First proof that infinitely many prime numbers come in pairs
Mathematician claims breakthrough towards solving centuries-old problem.
Magg... 阅读全帖
g****g
发帖数: 1828
19
来自主题: WaterWorld版 - Normal distribution
In probability theory, the normal (or Gaussian) distribution, is a
continuous probability distribution that is often used as a first
approximation to describe real-valued random variables that tend to cluster
around a single mean value. The graph of the associated probability density
function is “bell”-shaped, and is known as the Gaussian function or bell
curve:[nb 1]
f(x) = \tfrac{1}{\sqrt{2\pi\sigma^2}}\; e^{ -\frac{(x-\mu)^2}{2\sigma^2}
},
where parameter μ is the mean (location of the pe... 阅读全帖
R******d
发帖数: 5739
20
来自主题: Belief版 - 进化论与种族灭绝

my take on 上帝和石头 is the same as saying there is a positive infinite but
a negative infinite. if you assume god is a positive infinite, and the
stone is the negative infinite that they could cancel to a zero, then there
can't be a negative infinite that could cancel god to a zero.
j*******7
发帖数: 6300
21
来自主题: TrustInJesus版 - 一段鲜为人知的历史
The Wager
The philosophy uses the following logic (excerpts from Pensées, part
III,
note 233):
1. "God is, or He is not"
2. A Game is being played... where heads or tails will turn up.
3. According to reason, you can defend neither of the propositions.
4. You must wager. (It's not optional.)
5. Let us weigh the gain and the loss in wagering that God is. Let us
estimate these two chances. If you gain, you gain all; if you lose, you
lose
nothing.
6. Wager, then, without hesitation that He is. (...... 阅读全帖
G*******s
发帖数: 4956
22
再看看早期教父们的正确和错误的观点
林慈信:早期教会信仰真伪辨——上帝,圣父,圣子﹕我们的信仰
http://blog.sina.com.cn/s/blog_622134fd01013i7w.html
早期教会信仰真伪辨 THE FAITH OF THE EARLY CHURCH
上帝,圣父,圣子:我们的信仰
GOD, THE FATHER, AND THE SON: WHAT WE BELIEVE
1.上帝:一位格,三位格
GOD: ONE, PERSON, PERSONAL, THREE PERSONS
只有一位真神。宇宙并没有两位神(创造主 + 至高至善神:诺斯底主义)。
There is only one God. There aren’t two gods (creator-demiurge, plus the h
ighest God: Gnosticism).
上帝是位格。上帝不只是祂的属性的总和。
God is a person. God is not just a bunch of attributes.
上帝是有位格的。祂在永恒里计划要创造人,与人建立(约的)关... 阅读全帖
i****g
发帖数: 3896
23
【 以下文字转载自 Mathematics 讨论区 】
发信人: endoscopy (暂时没有), 信区: Mathematics
标 题: 数学界的重大突破,据说Annals已经接受啦
关键字: 素数
发信站: BBS 未名空间站 (Tue May 14 05:58:29 2013, 美东)
没有人八卦这个吗?
今天的Nature已经刊登了新闻。
如果最终是对的话,我觉得是近50年来数学的重大结果
可能没有FLT对数学的促进大,但是不比费尔马大定里的影响小
对搞数学的来说 证明相差为70000000的素数有无穷多对和证明相差为2的素数有无穷多
对。并没有实质性的差别。意义是一样的。
http://www.nature.com/news/first-proof-that-infinitely-many-pri
First proof that infinitely many prime numbers come in pairs
Mathematician claims breakthrough towards solving centuries-old problem.
Magg... 阅读全帖
f********x
发帖数: 99
24
The world beyond batch: Streaming 101: A high-level tour of modern data-
processing concept
http://radar.oreilly.com/2015/08/the-world-beyond-batch-streami
by Tyler Akidau August 5, 2015
Editor’s note: This is the first post in a two-part series about the
evolution of data processing, with a focus on streaming systems, unbounded
data sets, and the future of big data.
Streaming data processing is a big deal in big data these days, and for good
reasons. Amongst them:
Businesses crave ever more tim... 阅读全帖
e*******y
发帖数: 73
25
没有人八卦这个吗?
今天的Nature已经刊登了新闻。
如果最终是对的话,我觉得是近50年来数学的重大结果
可能没有FLT对数学的促进大,但是不比费尔马大定里的影响小
对搞数学的来说 证明相差为70000000的素数有无穷多对和证明相差为2的素数有无穷多
对。并没有实质性的差别。意义是一样的。
http://www.nature.com/news/first-proof-that-infinitely-many-pri
First proof that infinitely many prime numbers come in pairs
Mathematician claims breakthrough towards solving centuries-old problem.
Maggie McKee 14 May 2013
Cambridge, Massachusetts
Mathematician Yitang Zhang has outlined a proof of a 'weak' version of the
conjecture on twin prime numb... 阅读全帖
D*****r
发帖数: 6791
26
http://golem.ph.utexas.edu/category/2013/05/bounded_gaps_betwee
Guest post by Emily Riehl
Whether we grow up to become category theorists or applied mathematicians,
one thing that I suspect unites us all is that we were once enchanted by
prime numbers. It comes as no surprise then that a seminar given yesterday
afternoon at Harvard by Yitang Zhang of the University of New Hampshire
reporting on his new paper “Bounded gaps between primes” attracted a
diverse audience. I don’t believe the paper is... 阅读全帖
s****b
发帖数: 2039
27
来自主题: Mathematics版 - holy...我找到了无穷大的素数
A number has a definite value. This one does not have a definite value,
that means you can not say exactly how large it is.
This one is not a number.
Therefore it is of course not a prime number.
So you did not find a prime number that is "infinitely large".
Well, actually, "infinitely large" is defined as larger than any number.
So "infinitely large" is larger than any prime number.
Which means every prime number is smaller than "infinitely large".
Therefore, no prime number can be "infinitel... 阅读全帖
F**S
发帖数: 13
28
来自主题: Mathematics版 - basic linear algebra questions??
I am embarrassed to ask such elementary questions but they have bothered me
like a bone in my throat for quite a while. Please be so kind to enlighten
me...
The questions are centered closely about infinite dimensionality:
How exactly to see that a mapping space is infinite dimensional? To be
specific, take the simplest example of the vector space, C(R, R), of
continuous functions from R to R, where R stands for the space of real
numbers. The statement must be obvious since books I have consulte... 阅读全帖
h***i
发帖数: 3844
29
Sum (i=1 to infinite) of P(Y>=i)
=Sum (i=1 to infinite)Sum (k=i to infinite)P(Y=k)
=Sum (k=1 to infinite)Sum (i=1 to k)P(Y=k)
=Sum (k=1 to infinite)kP(Y=k)
=E(Y)
c***s
发帖数: 70028
30
权志龙(资料图)
BIGBANG队长权志龙(GD)的冰箱里竟然随时备着世界三大美味。前段时间,这一“GD的秘密”成为了热议焦点,也让一档名叫《拜托了冰箱》的韩国综艺节目由此进入大家的视野。
《拜托了冰箱》是由韩国JTBC电视台制作放送、金成柱和郑亨敦担当MC的一档料理类脱口秀综艺。节目将明星嘉宾以及他们家里的冰箱一起请到录制现场,公开他们冰箱的食材。而由节目请来的几位厨师将直接使用明星冰箱里的原材料,根据他们想要品尝到的口味进行两两对决,用最常见的食材在15分钟内现场做出美食。
据悉,GD和太阳做客的当期节目,就带动《拜托了冰箱》收视率飚到10.04%之高,此前节目的最高收视率是8.2%。
从冰箱内的“藏货”可以看出一个人的个性和食性,换言之,冰箱也算是个人生活的“私密角落”之一,不过节目中,明星们却要将“私密角落”公诸于众,尤其,他们公开的可能不止是自己的饮食爱好和习惯,还有在这其中蕴藏的生活习惯、品性,甚至身家背景或者恋爱秘密。就比如少女时代不论是带来的冰箱还是冰箱饮食,一公开来都让人觉得很不“少女”。
BIGBANG权志龙
饮食秘密冰箱中都是世界各地的顶级食材
在权志龙公开冰箱... 阅读全帖
r****r
发帖数: 159
31
来自主题: JobHunting版 - 求解一道题 思路也好
ReplacementGrammar
Problem:
You will receive a message that must be translated by several string
replacement rules. However, the exact replacement rules are not fixed - they
will be provided as part of the input. You are to write a program that
receives a list of string replacements rules followed by a message, and
outputs the translated message.
Details:
0) A 'newline' consists of a carriage feed 'r' followed by a line feed 'n'.
1) The input will begin with any number of 'string replacement rul... 阅读全帖
t*******r
发帖数: 22634
32
另外就是大人要参与。。。the only thing in this world, that capable of making
infinite variations, creating infinite doubts, challenging infinite
assumptions, finding infinite solutions... We the HUMAN! !
哈哈, 俺 run 了
G****a
发帖数: 10208
33
【 以下文字转载自 Mathematics 讨论区 】
发信人: justice (i_see_1), 信区: Mathematics
标 题: Re: Boston.com 介绍老张的个人情况
发信站: BBS 未名空间站 (Thu May 23 21:50:23 2013, 美东)
Obscure University of New Hampshire math professor takes major step toward
elusive proof
By Carolyn Y. Johnson, Globe Staff
42
783
Lisa Nugent, UNH Photographic Services
Yitang Zhang, a math lecturer at the University of New Hampshire
A soft-spoken, virtually unknown mathematician from the University of New
Hampshire has found himself overnight a min... 阅读全帖
j*****e
发帖数: 564
34
来自主题: Mathematics版 - Boston.com 介绍老张的个人情况
Obscure University of New Hampshire math professor takes major step toward
elusive proof
By Carolyn Y. Johnson, Globe Staff
42
783
Lisa Nugent, UNH Photographic Services
Yitang Zhang, a math lecturer at the University of New Hampshire
A soft-spoken, virtually unknown mathematician from the University of New
Hampshire has found himself overnight a minor celebrity, flooded with
requests to give talks at top universities as his work is debated and
celebrated online by leaders in his field.
On Ma... 阅读全帖
w*******y
发帖数: 60932
35
My company's EPP isn't as good as some others, so you might get even better
prices.
spacer
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TC-P50VT25
50" Class VieraVT25 Series Full HD 3D 1080p Plasma
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VIERA Cast WiFi w/ VideoPhone Capabilities
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TC-P65VT25 ... 阅读全帖
c******o
发帖数: 1184
36
评价的不错
http://www.exurbe.com/?p=2176
“The Borgias” vs. “Borgia: Faith and Fear” (accuracy in historical
fiction)
Posted by exurbe on July 26, 2013 Fandom
BorgiaFrenchTVPoster
A French “Spot the Saint” themed poster for “Borgia: Faith and Fear”
assigning Cesare the attributes: archbishop’s robes, scythe, dagger, bloody
hands, blood. The French caption reads “Don’t have faith in them.” I
can’t argue.
There was a Borgia boom in 2011 when, aiming to capitalize on the commercial
success of The Tudor... 阅读全帖
g****t
发帖数: 31659
37
来自主题: Military版 - NYT: Solving a Riddle of Primes (转载)
【 以下文字转载自 EE 讨论区 】
发信人: guvest (我爱你老婆Anna), 信区: EE
标 题: NYT: Solving a Riddle of Primes
发信站: BBS 未名空间站 (Mon May 20 22:48:57 2013, 美东)
分享下中国人的骄傲.
发信人: dionysus (悲剧的诞生), 信区: Mathematics
标 题: NYT: Solving a Riddle of Primes
发信站: BBS 未名空间站 (Mon May 20 21:27:36 2013, 美东)
http://www.nytimes.com/2013/05/21/science/solving-a-riddle-of-p
Solving a Riddle of Primes
By KENNETH CHANG
Published: May 20, 2013
Three and five are prime numbers — that is, they are divisible only by 1
and by themselves. So are ... 阅读全帖
t*******r
发帖数: 22634
38
另外概率是 0 并不等于不会遇上,因为这里的概率是 calculus 的概念,
infinite divide by infinite。。。所以,“几乎”否?。。。
由此引申,索男睡过美女的概率为零,不能证明索男没有睡过美女。。。当然
前提是该索男睡过无数女人。。。这里的“无数”是指 infinite 。。。
h*h
发帖数: 27852
39
Zhang, Yitang’s life at Purdue
(Jan. 1985-Dec, 1991)
T.T.Moh1
Dr. Zhang Yitang made a major advancement to the twin prime conjecture
as verified by Prof. H. Iwaniec, a famous number theorist. This is a
historic result. I congratulate Dr. Zhang, Yitang.
The concept of prime nummbers started with Greek mathematics. Euclid
shown that there were infinitly many primes. We may view the integers as
houses built on the integer spots on the real line, and put a light in every
prime number houses. Then in... 阅读全帖
t******l
发帖数: 10908
40
为了避免误解,我说一下 cantor 为啥 fail 在 Palm 的 leetcode interview 的原因。
这个是因为如果马工按照 breath-first traversal 这个 infinite permutation tree
的 traversal order,来 linear ordered 所有的数(没有 traversal 的 subtree
都默认为零,也就是 subtree 的里第一个数零),这样在这个 linear ordered 序列
上,cantor diagonal argument 不再成立,因为前 n 个的 sub group 包含了所有的
全排列(对齐在 BFS 的一层层的边界上),flip bit 不会产生新的数。
当然,前面有人说,这个只能包含有限长度的小数。。。这个严格的说,是在 finite
time 里,只能遇到有限长度的小数。。。infinite time 是不是遇到,这个是任意定
义。。。cantor 的二义性,是认为从树根到树叶的无限长度序列在 infinite time 里
能够遇到,而上面这种 linear ordere... 阅读全帖
l****z
发帖数: 29846
41
Why Some Scientists Embrace the ‘Multiverse’
Last week, in Nice, France, I was privileged to participate along with 30
scholars, mostly scientists and mathematicians, in a conference on the
question of whether the universe was designed, or at least fine-tuned, to
make life, especially intelligent life. Participants — from Yale, Princeton
, Harvard, Berkeley, and Columbia, among other American and European
universities — included believers in God, agonistics, and atheists.
It was clear that the s... 阅读全帖
r******o
发帖数: 1530
42
来自主题: Investment版 - 关于几年用钱和Risk承受能力
You shouldn't, the difference between you and Casino, is
when you lose, you are done, you have no way to come back.
Casino can keep running the game, forever.
That's the difference, for you, there is a stopping time, for Casino, it's
almost infinite.
All the probability theory was based on the assumption the sample size is
infinite, approaching to a limit. Under infinite number of coin flipping, a
fair coin will come up heads/tails 50% vs 50%, but there is no guarantee it
's 50% 50% always for ... 阅读全帖
f**********e
发帖数: 288
43
别认面金, copy 过来的。。有没有巧解, 请大牛们指点。。。
1.
[ 0 2 1
1 0 1
0 是障碍物,2是食物,1是可走的路径。 要求着到可以走到所有食物一次最短的点。
我用bfs做出来,最后的时候他说我有个case没考虑到,就是没有最佳路径的时候怎么
办。 其他的都没问题。
2. given a infinite stream of real number, 随时找median. 我说用 2 heaps, 但
是他说infinite的数字要infinite的空间怎么办。然后我就说2heap应该也可以,就是
保证一定size把多余的扔掉。我又挣扎说了一些其他方法,都不大行。 最后他说你用
2heap做做吧,我大概做了出来,然后他就给我看了个case说这个方法什么时候会失败
。 他最后说其实实际应用中2heap可以用,只要n够大就行。感觉这个面试比较惨。
l*x
发帖数: 14021
44
来自主题: Money版 - Free HHonors upgrade to GOLD

因为我是钻石了,没仔细研究,但看到有人提到infinite card,如果用前一阵子的那
个Infinite card的promotion的话,应该是3个月。这3个月里住到多少晚,就延成一年
成为正式的金卡。
去年就有visa signature卡的免费升金卡的deal。这版上估计人手一张吧,没人搞吗?
这个infinite card应该是这个deal的欧洲版。
d****g
发帖数: 7460
45
来自主题: Parenting版 - 什么时候给孩子引入方程概念
这个乌龟问题的火,会不会跟 the fault of our stars 有关?
There are infinite numbers between 0 and 1. There's .1 and .12 and .112 and
an infinite collection of others. Of course, there is a bigger infinite set
of numbers between 0 and 2, or between 0 and a million. Some infinities are
bigger than other infinities. A writer we used to like taught us that. There
are days, many of them, when I resent the size of my unbounded set. I want
more numbers than I'm likely to get, and God, I want more numbers for
Augustus ... 阅读全帖
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