m****r
发帖数: 1904 | 1 来自主题: TrustInJesus版 - 地狱是误译 Just one instance: when Jesus resurrected the widow's son, nobody had faith
in him - they didn't ask for his help, even. It was his first resurrection
, so they didn't even know he could do it! It was his compassion that moved
him to act on their behalf, not their faith. When Jesus told the woman
with the flow of blood that her faith saved her, it was her faith that moved
her to find Jesus and be healed. What she did after that, if she became a
follower, and was there at Pentecost to be ano... 阅读全帖 |
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j*******7
发帖数: 6300 | 2 Confirmation Bias
The Misconception: Your opinions are the result of years of rational,
objective analysis.
The Truth: Your opinions are the result of years of paying attention to
information which confirmed what you believed while ignoring information
which challenged your preconceived notions.
Have you ever had a conversation in which some old movie was mentioned,
something like “The Golden Child” or maybe even something more obscure?
You laughed about it, quoted lines from it, wondered what h... 阅读全帖 |
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o***1
发帖数: 592 | 3 复活节普天同庆。 本人也凑个份子， 仅以以下抄文献给基督徒朋友们， 并希望本版
这些才高八斗的基督徒知识分子们， 有人能接受下面的挑战。
http://ffrf.org/news/blog/item/20393-leave-no-stone-unturned-an
I HAVE AN EASTER challenge for Christians. My challenge is simply this: tell
me what happened on Easter. I am not asking for proof. My straightforward
request is merely that Christians tell me exactly what happened on the day
that their most important doctrine was born.
Believers should eagerly take up this challenge, since without the
resurrection, there is no Chr... 阅读全帖 |
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g*********n
发帖数: 808 | 4 背景
网上流传有关「爱因斯坦证明了神存在」的故事，散播速度已经达到外国所谓病毒的程
度(has gone viral)。其实这故事在十几年前已经存在，消失了一段时间后，随互联网
的发展又再死灰复燃。故事指爱因斯坦还是学生的时候，反驳一位宣称无神的老师，问
得老师哑口无言。在不同版本中，「爱因斯坦」有时是小学生，有时是大学生，但是内
容和论据都是一样的，而许多标题都指「爱因斯坦」所说的，证明了神的存在。
以下是故事的大纲：
1.老师/教授说世上无神，因为若神造万物，也造了邪恶。
2.一学生反驳说「冷」是「热」的不存在，「暗」是「光」的不存在，同样「邪恶」是
「善良」的不存在。
3.老师无言，作者称此学生名为「阿尔伯特·爱因斯坦」。
供读者参考，本人选择了几个中英文的，比较典型的版本[1][2][3][4]，其中一个是前
几年这故事重生时的一套youtube外语短片。[3]
这故事被网民疯传，受宗教人士称颂，成为神存在的「有力见证」；另外一些人当这是
有趣的故事。许多网友阅读后，在社交网络上分享，其他人看见了也「讚」和分享，这
故事一传十，十传百，有如病毒一般地传播开去。
这故事受注目当然... 阅读全帖 |
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l*****a
发帖数: 38403 | 5 Thomas Jefferson, (1743-1826) 3rd American president, author, scientist,
architect, educator, and diplomat. Deist, avid separationist.
"Millions of innocent men, women, and children, since the introduction of
Christianity, have been burned, tortured, fined, and imprisoned, yet we have
not advanced one inch toward uniformity. What has been the effect of
coercion? To make one half of the world fools and the other half hypocrites.
" [Notes on Virginia]
"I do not find in orthodox Christianity one re... 阅读全帖 |
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G*M
发帖数: 6042 | 6 杨解神一点科学的概念都没有吗？
所有的相信科学的人都同意”Evolution CANNOT be proved to be true“。这里prove
是证明的意思。
当然，日常生活中，人们常用prove来表达检验，而不是证明。 |
|
j*******7
发帖数: 6300 | 7 Archaeological Evidence that Proves the Bible is True
(You can translate the captions into your own language)
This video is a recording of a presentation given by Dr. Don Patton,
originally entitled "Stones of Israel." In this presentation Dr. Patton
provides historical and archaeological evidence that proves the passages of
the Bible. This video erodes any ideas that the Bible is a book of fairy-
tales.
Introduction: 0:44
Altar of Joshua (Deuteronomy 27:4): 4:25
Gilgal Campsite of the Israelite... 阅读全帖 |
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l******t
发帖数: 490 | 8 解答：Allah為什麼有時候用複數代詞“我們”
The Quran, Allah and Plurality Issues (Sam Shamoun)
The Quran, much like the Holy Bible, uses plural pronouns for God even more
so than what we find in God’s true Word. Here are several examples:
This is part of the tidings of the things unseen, which We reveal unto thee
(O Apostle!) by inspiration: Thou wast not with them when they cast lots
with arrows, as to which of them should be charged with the care of Mary:
Nor wast thou with them when they disputed (the point). S... 阅读全帖 |
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Y**u
发帖数: 5466 | 9 ☆─────────────────────────────────────☆
insight007 (insight007) 于 (Tue Sep 11 17:26:18 2012, 美东) 提到:
转：
奥义书在印度宗教与哲学的发展过程中有重大意义。在奥义书产生之前，吠陀时期的雅
利安人崇拜自然神；梵书则大多是形式主义的祭祀手册。奥义书最早集中精力讨论宇宙
的终极真理。奥义书中两个最重要的概念是「我」和「梵」。奥义书用各种奇妙的比喻
（很多在现代人看来是不可理解的）来说明，梵就是一切，也就是最高存在；人类的我
（个体灵魂）来自宇宙的我，即梵（宇宙灵魂）。
总之，宇宙就是梵，梵就是我；「梵我同一」这个最高真理就是奥义书主要宣扬的观点。
在奥义书的思想基础上产生了吠檀多派，后来直接影响到印度教大改革者商羯罗。
另一个由奥义书系统搭建起来的重要观念是轮回业报。
轮回业报的观点在梨俱吠陀中根本没有，梵书中偶尔提及人死后可以转生，只有奥义书
完整建立了转世者的转世形态取决于他前世的所作所为（业）的思想。
广林奥义书说，转世者「因善业而成为善人，因恶业而成为恶人」。
当然，从无尽的轮... 阅读全帖 |
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D*******y
发帖数: 4252 | 10 发信人: ruomu (ruomu), 信区: WaterWorld
标 题: 有关长沙6天建起一座酒店的YouTube评论---看看那些美国人怎么评论我们吧
（很多评论很搞笑），我们在进步，别太着急~我比较好奇如果是美国6天建起酒店，中
国各路人马会如何评价？
发信站: BBS 未名空间站 (Wed Nov 24 12:17:43 2010, 美东)
这个酒店，事先的设计、打地基、预制件生产肯定不止6天。贴视频也是个标题党，“
第一天”明显是两天，从开始工作到天黑，一共是20个小时。估计是第一天夜里没加班
，和第二天早上连一起了。而且可以注意里面基本上一个昼夜交替是20小时，说明一天
还休息了4个小时。视频里也没说是连续工作或者六天建成。所以全部时间应该是7天到
8天。工作时间是136.5小时。但是能这样建起来还是很令人惊讶的。远大公司还在世博
会上面花了24小时建造了一栋展示楼，那个有24小时连续视频。
下面是Youtube上外国人的部分评价。里面当然有一些是嘲笑中国产品质量低下的。但
是更多的是惊讶。搞笑评论也很多。欧美发达国家因为建筑项目少，所以市场养不起太
多的建筑工人，所... 阅读全帖 |
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i*****a
发帖数: 572 | 11 我和我LP去年8月结婚。USCIS去年11月接收到我们的I130和I485申请，后来又要我们补
齐I485的
材料, 我们后来给补了材料，USCIS在今年2月中旬收到了补充的材料。可是现在眼看3
个多月过去
了，还是没有任何结果。USCIS的网站上是这么说的：
On February **, 2011, we received your response to our request for
evidence. This case is being processed at our NATIONAL BENEFITS CENTER
location. We will notify you by mail when we make a decision or if we
need something from you. You should expect to receive a written decision
or written update within 60 days of the date we received your response
unless fingerpri... 阅读全帖 |
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S****9
发帖数: 8108 | 12 http://www.mitbbs.com/article_t/WaterWorld/602567.html
发信人: ruomu (ruomu), 信区: WaterWorld
标 题: 有关长沙6天建起一座酒店的YouTube评论---看看那些美国人怎么评论我们吧
（很多评论很搞笑），我们在进步，别太着急~我比较好奇如果是美国6天建起酒店，中
国各路人马会如何评价？
发信站: BBS 未名空间站 (Wed Nov 24 12:17:43 2010, 美东)
这个酒店，事先的设计、打地基、预制件生产肯定不止6天。贴视频也是个标题党，“
第一天”明显是两天，从开始工作到天黑，一共是20个小时。估计是第一天夜里没加班
，和第二天早上连一起了。而且可以注意里面基本上一个昼夜交替是20小时，说明一天
还休息了4个小时。视频里也没说是连续工作或者六天建成。所以全部时间应该是7天到
8天。工作时间是136.5小时。但是能这样建起来还是很令人惊讶的。远大公司还在世博
会上面花了24小时建造了一栋展示楼，那个有24小时连续视频。
下面是Youtube上外国人的部分评价。里面当然有一些是嘲笑中国产品... 阅读全帖 |
|
t*****e
发帖数: 2470 | 13 What??? Dr.Sun was ahead of time?
Great, he is the first one who propose those craps? God, you better read
some more my dear.
Plus, his 三民主义 are pure translation.
Even he is a foreseer, so what? You see tons of ZhaoKuo on mitbbs nowadays.
Some of their outrageous prediction will be proved right later in the future
. Can I call those ppl smart and respectful?
Also, did his foreseeing concepts or statements made China better? Actually,
were them ever executed?
Don't get me wrong. I never said he i... 阅读全帖 |
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a****a
发帖数: 5763 | 14 Posted this last night in a different thread, but it might help here too.
Been working with Match for a few weeks and thought I would post a FAQ type
response here to what I see people asking over and over again.
1. When you enable Match it goes through a three step process. Analyzing
your library, matching songs, uploading non-matched content. It does this
for your whole library. You can't choose to exclude songs other than taking
them out of your library.
2. If a song is matched, it becomes av... 阅读全帖 |
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c*****t
发帖数: 1879 | 15 You only proved your method is O (n), but you didn't prove the problem
lower bound solution is omega (n). It is a harder problem to prove. |
|
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w*********s
发帖数: 2136 | 17 Why Almost Everything You Hear About Medicine Is Wrong
http://www.newsweek.com/2011/01/23/why-almost-everything-you-he
If you follow the news about health research, you risk whiplash. First
garlic lowers bad cholesterol, then—after more study—it doesn’t. Hormone
replacement reduces the risk of heart disease in postmenopausal women, until
a huge study finds that it doesn’t (and that it raises the risk of breast
cancer to boot). Eating a big breakfast cuts your total daily calories, or
not—as a st... 阅读全帖 |
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D******n
发帖数: 2836 | 18 it is always
(data,experience,chance,random observations) --> hypothesis ---> Design of
Experiment --> Experiment and generate lots of data ---> prove or disprove
hypothesis.
so there is nothing wrong with hypothesis-driven. Not getting credited by
disproving/proving a hypothesis (depends on which is more scientifically
interesting or publishable) is the culprit. People have to find all means to
prove it is true/wrong by only showing favoring results or even fabricating
data.
On the other hand, ... 阅读全帖 |
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A*******e
发帖数: 13 | 19 ：转一个，听说还有些比较激进的言论没有收在文字稿里。
中科院神经科学研究所2012 年年会蒲慕明所长的讲话
谈灰色地带的科研诚信
2012 年12 月28 日
（根据录音整理）
一、前言
我今天想讲的主题是过去主题的延续。几年前我曾经谈过诚信的问题。科学
研究的诚信问题现在越来越重要。媒体上常有关于科学不端行为的报导，但事实
上明目张胆的科学不端行为（scientific misconducts），所谓伪造、篡改和剽窃
（Fabrication，Falsification，Plagiarism，简称FFP），是极少见的。现在最严重
的问题不是明显的FFP，而是灰色地带的诚信问题，就是那些不容易被发现、标
准不容易确定的问题。我们每一个从事科学研究的人都会遇到这些问题，都应该
认真考虑，当遇到这些问题时，怎么做才符合诚信的要求。
二、数据分析和表述时的灰色地带行为
今天我首先想讲的就是数据分析和表述时的不当行为。首先，较严重的就是
选择数据。只选择自己喜欢的结果，不喜欢的就不要。忽略不计对自己的结论有
威胁性的数据。第二，在发表文章或口头表述结果时不当地夸大表述。前者比较
容易判断是非，... 阅读全帖 |
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n*********m
发帖数: 38 | 20 Doubts about Johns Hopkins research have gone unanswered, scientist says
By Peter Whoriskey, Published: March 11
The numbers didn’t add up.
Over and over, Daniel Yuan, a medical doctor and statistician, couldn’t
understand the results coming out of the lab, a prestigious facility at
Johns Hopkins Medical School funded by millions from the National Institutes
of Health.
He raised questions with the lab’s director. He reran the calculations on
his own. He looked askance at the articles arising fro... 阅读全帖 |
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y****i
发帖数: 2194 | 21 you can't "prove" something doesn't mean something is not true.
Can you "prove" you are human? can you "prove" you're not dead? |
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c******r
发帖数: 889 | 22 One can never falsify something that doesn't really exist. Can you prove
that God doesn't exist? Can you prove that dragons don't exist? If you
cannot, is it valid proof that they do exist?
Another example: can you prove you don't owe me a million? If you cannot,
then you must owe me a million.
A basic rule of a valid discussion is that the burden of proof rests on whom
making propositions. Not the other way around. |
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t**********m
发帖数: 205 | 23 The Structuring Force of Galaxies （3rd Version)
http://rxiv.org/pdf/1103.0110v3.pdf
The concept of rational structure was suggested in 2000. A flat material
distribution is called the rational structure if there exists a special net
of orthogonal curves on the plane, and the ratio of mass density at one side
of a curve (from the net) to the one at the other side is constant along
the curve. Such curve is called a proportion curve. Such net of curves is
called an orthogonal net of proportion curv... 阅读全帖 |
|
c**********r
发帖数: 891 | 24 Probably not. But you really should ask a real attorney about this.
Federal Rule of Evidence:
RULE 408. COMPROMISE OFFERS AND NEGOTIATIONS
(a) Prohibited Uses. Evidence of the following is not admissible — on
behalf of any party — either to prove or disprove the validity or amount of
a disputed claim or to impeach by a prior inconsistent statement or a
contradiction:
(1) furnishing, promising, or offering — or accepting, promising to accept,
or offering to accept — a valuable consideration in co... 阅读全帖 |
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c*******v
发帖数: 2599 | 25 As I remember, for example,
Tychonoff's theorem was proved by using the zorn lemma,
then Arzela-ascoli theorem was proved by using the Tchonoff theorem, then
Leray-Schauder fixed point theorem was proved. These theorems are used
everywhere today. You can even find the Arezla-ascoli theorem in a finite
elements' book.
I am too old to recover the complete logic chain of these kinds of thing.
You'd better to check ODE，PDE books for details.
你的意思是说
“要想得到一个complete metric space”
需要用到Zorn引理？ |
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l*x
发帖数: 3 | 26 1, Prove the existence and uniqueness of the PDE;
2, Prove the stableness and convergence of the numerical algorithm;
3, Prove the limitation of the numerical solution is the real solution;
4, Give an estimation of the error between the numerical solution and the
real solution.
Actually, the numerical solution always be checked by the experimental
result. |
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w**********r
发帖数: 128 | 27 In geometric analysis, there is a well known Yamabe problem. First Yamabe
gave a wrong proof, later the final correct proof was given by Rick Schoen
using the Positive Mass theorem (which is still open for dimensions higher
than 7). The Yamabe problem is to prove the existence result of an equation
(Yamabe equation). After proving the Yamabe problem, Schoen conjectured that
all the solutions to the yamabe equation are uniformly bounded except for
one case. Recently it was proved to be wrong. Sch... 阅读全帖 |
|
t**********m
发帖数: 205 | 28 The Structuring Force of Galaxies （3rd Version)
http://rxiv.org/pdf/1103.0110v3.pdf
The concept of rational structure was suggested in 2000. A flat material
distribution is called the rational structure if there exists a special net
of orthogonal curves on the plane, and the ratio of mass density at one side
of a curve (from the net) to the one at the other side is constant along
the curve. Such curve is called a proportion curve. Such net of curves is
called an orthogonal net of proportion curv... 阅读全帖 |
|
F*******n
发帖数: 8 | 29 The absolute worst talk (once again, expositorily speaking) was by Gang Tian
. Here there was no room at all for productive day-dreaming. Tian's talk was
extremely technical, very dry, and the transparencies were typed with small
font, that probably made it hard to follow even for the ten or whatever
experts in the audience.
Appendix to Opinion 48: Impressions From The International Congress of
Mathematicians 2002 (ICM 2002, Beijing , Aug. 20-29):
By Doron Zeilberger
Written: Oct. 10, 2002
http:... 阅读全帖 |
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X******2
发帖数: 5859 | 30 http://blogs.ethz.ch/kowalski/2013/05/21/bounded-gaps-between-p
And so it came to pass, that an almost millenial quest found a safe resting
place…
Like all analytic number theorists, I’ve been amazed to learn that Yitang
Zhang has proved that there exist infinitely many pairs of prime numbers ell
So, how did he do it?
Well, since the paper just became available, I don’t have anything
intelligent to say yet on the new ideas that he introduced (but ... 阅读全帖 |
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p**o
发帖数: 197 | 31 "也许你听说过约翰·纳什关于经济学的均衡理论的著名工作。他建立了一些简单
的
假设并由此推导出重要的结论。由于这项工作，他获得1994年诺贝尔经济学奖。
约翰·纳什将博弈论应用于经济学，并引入新的均衡概念，他改革了亚当·史密
斯
（1723年—1790年）的经典理论。他和其它经济学家将这些新兴的数学理论应用于经济
学的研究，影响至今。 "
It is commonly believed that the publication of von Neumann and Morgenstern'
s book "Theory of game and economic behavior" in 1944 is the start of game
theory. However, they only proved the existence of an equilibrium for two
player games (the minimax theorem). When there are more than two players,
they tried to decomp... 阅读全帖 |
|
d*****g
发帖数: 1616 | 32 PRIMES IN INTERVALS OF BOUNDED LENGTH
ANDREW GRANVILLE
To Yitang Zhang, for showing that one can, no matter what.
After these clarifications of Zhang's work, two researchers asked themselves
whether the original "set-up" of Goldston, Pintz and Yildirim could be
modified to get better results. James Maynard obtained his Ph.D. this summer
at Oxford, writing one of the finest theses in sieve theory of recent years
. His thesis work equipped him perfectly to question whether the basic
structure of t... 阅读全帖 |
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Q***5
发帖数: 994 | 33 GE 在他的毕业论文中已经证明了主定理，所以应该这样说才对：
The main theroem has been proved by GE in X.X, and our main contribution
here is to provide another proof based on a lemma which is slightly stronger
than a similiar lemma in GE's paper.
And by the way, GE does not necessarily deserve an coauthorship, even he is
the first one to prove the main theroem, because he does not have the "
insight", so as far as we know, we are the first ones who prove this result
and who DO have "insight"
Better? |
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B********e
发帖数: 10014 | 34 能看懂正常人说的话么？
把给nas院士搓澡的时间省下来两年理解一下下边的话，
领会一下做人的道理吧
发信人: QL365 (QL), 信区: Mathematics
标 题: Re: 恽自求教授的另外一篇文章
发信站: BBS 未名空间站 (Thu May 15 15:44:37 2014, 美东)
GE 在他的毕业论文中已经证明了主定理，所以应该这样说才对：
The main theroem has been proved by GE in X.X, and our main contribution
here is to provide another proof based on a lemma which is slightly stronger
than a similiar lemma in GE's paper.
And by the way, GE does not necessarily deserve an coauthorship, even he is
the first one to prove the main theroem, because he do... 阅读全帖 |
|
M****o
发帖数: 4860 | 35 After Prime Proof, an Unlikely Star Rises
Two years ago, Yitang Zhang was virtually unknown. Now his surprise solution
to a major problem in number theory has catapulted him to mathematical
stardom. Where does he go from here?
https://www.quantamagazine.org/20150402-prime-proof-zhang-interview/
By: Thomas Lin
April 2, 2015
As a boy in Shanghai, China, Yitang Zhang believed he would someday solve a
great problem in mathematics. In 1964, at around the age of nine, he found a
proof of the Pythagore... 阅读全帖 |
|
x********i
发帖数: 905 | 36 The Shaw Prize in Mathematical Sciences 2015 is awarded to Gerd Faltings,
Managing Director at Max Planck Institute for Mathematics in Bonn, Germany,
and Henryk Iwaniec, New Jersey Professor of Mathematics at Rutgers
University, USA, for their introduction and development of fundamental tools
in number theory, allowing them as well as others to resolve some
longstanding classical problems.
Number theory concerns whole numbers, prime numbers, and polynomial
equations involving them. The central p... 阅读全帖 |
|
O****y
发帖数: 79 | 37 【 以下文字转载自 Physician 俱乐部 】
发信人: Oldray (麦地.prajnaparamitahrdayasutra), 信区: Physician
标 题: Last dark report's webinar about pathology fellowship application
发信站: BBS 未名空间站 (Tue May 10 10:25:23 2011, 美东)
The Essential Guide to Achieving the Perfect Pathology Fellowship:
Useful Advice and “Must-Do’s” for First-, Second- and Third-Year
Residents
The Dark Report
4/28/11
Justin Clark
Hello, everyone, I’d like to welcome you to the latest Dark Report’s new
PREP webinar series. The Pathology Resident Ed... 阅读全帖 |
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w*********s
发帖数: 2136 | 38 Why Almost Everything You Hear About Medicine Is Wrong
http://www.newsweek.com/2011/01/23/why-almost-everything-you-he
If you follow the news about health research, you risk whiplash. First
garlic lowers bad cholesterol, then—after more study—it doesn’t. Hormone
replacement reduces the risk of heart disease in postmenopausal women, until
a huge study finds that it doesn’t (and that it raises the risk of breast
cancer to boot). Eating a big breakfast cuts your total daily calories, or
not—as a st... 阅读全帖 |
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c**********d
发帖数: 389 | 39 For type 3, you can file for combination product and prove synergy. This is
actually what a lot of companies have been doing, if the multiple active
ingredients were already proved of safety and efficacy. As long as you can
prove the combination product better than the individual ingredients, you
have another 20 years of patent protection.
FDA clinical studies do have a lot of room to improve, but I don't think it
is about how to treat diseases. The investigator decides end-points of
clinical... 阅读全帖 |
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t******n
发帖数: 6242 | 40 今天无聊，看到这篇无聊的文章，就给你无聊地翻译成英文吧。
探索星系的捷径
A Shortcut to Galaxy Exploration
1. 问苍天情为何物？
1. Ask what love is heaven?
有人类的历史以来，人类就不断地探索自然，扩展了解自然的疆界。哥伦布发现新大陆
就是最好的例子。人类探索自然的勇气是从哪儿来的呢？来自人类情感的力量。那么，
情感是什么东西呢？这是千万年来，文学家探索的主题。在有一些文学家的眼中，物理
学家是没有情感的冷血动物。我就是一个物理学家。但是，我一点也不埋怨这些文学家
。虽然物理学家在自然界的探索中做出了伟大的贡献，但是，物理学家从来就没有给出
情感的物理定义是什么，也没有找到自然界蕴含情感的丝毫证据。所以，虽然人类知道
自己的生存发展跟自然环境是密不可分的，但是，很少有人类表达出对自然环境感谢的
情感。在很多人的眼中，自然界是死亡无情的物质世界。中国有一句古语，叫做“天若
有情天亦老”。因为几乎所有人类相信天是不老的，所以，认为苍天是没有情感的，就
不足为奇了。我提出了一个宇宙生长衰老的模型。虽然这个模型及其简单，能解释大多
... 阅读全帖 |
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t**********m
发帖数: 205 | 41 The Structuring Force of Galaxies （3rd Version)
http://rxiv.org/pdf/1103.0110v3.pdf
The concept of rational structure was suggested in 2000. A flat material
distribution is called the rational structure if there exists a special net
of orthogonal curves on the plane, and the ratio of mass density at one side
of a curve (from the net) to the one at the other side is constant along
the curve. Such curve is called a proportion curve. Such net of curves is
called an orthogonal net of proportion curv... 阅读全帖 |
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q**********7
发帖数: 857 | 42 Weinberg's Quantum Theory of Fields VI.
Page 78. He gave the last equation but he didn't prove it, although he
qualitatively explained it. I tried to prove it quantitatively but I failed.
Also, in page 80, he didn't prove the first equation either. I need help
with those two equations.
The two pictures are from Google http://books.google.com/books?id=NcH...page&q&f=false |
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M********t
发帖数: 163 | 43 This point is very smart but I dont quite agree this proof,
especially this part" the difference
between any two of them is not divislbe by 2^n, however, this is apparent
since otherwise the difference must contain n 0s (to prove this, consider
the last digit of the difference, it must be zero if n>=1, and then consider
the second last digit, which must be zero if n>=2, etc)"
How is it "must be zeor" ? How about some 3-digit-number minus 3-digit-
number equal to 8? In other words you assume the ... 阅读全帖 |
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M********t
发帖数: 163 | 44 Did you see the math questions they posted earlier?
For the math part I suggest:
1 Radon-Nicodym thm and prove
2 Arzela-Ascoli thm and prove
3 Rieze Representation and prove
4 WLLN/SLLN/CLT
5 strong/weak/a.e/in prob/in distribution/convergence |
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D******4
发帖数: 47 | 45 下周有个电话面试，是Emerging Markets Strategy 组的。在版上查询只找到一个贴有
相关信
息：
（Thanks for MidStudent）
For the math part I suggest:
1 Radon-Nicodym thm and prove
2 Arzela-Ascoli thm and prove
3 Rieze Representation and prove
4 WLLN/SLLN/CLT
5 strong/weak/a.e/in prob/in distribution/convergence
不知道版上牛人能提供一些他家的面试经验吗？ 不甚感激 |
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c****o
发帖数: 1280 | 46 They are from different companies, including hedge fund and IB.
1.How to find out first K biggest number in an array efficientely, time
complexity.
2. How to find out the memory layout of a class without initiate the class
3x_i are independent uniform distribution,let s_\tao denoted the first time
the sum exceed 1, what the expectation of \tao(answer:e)
4.A matrix which is ordered each row (left to right)and column(up to dowm),
how to find an element in the matrix?
5.Assume the temperature on th... 阅读全帖 |
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w******i
发帖数: 503 | 47 Thanks for the post.
1.How to find out first K biggest number in an array efficientely, time
complexity.
2. How to find out the memory layout of a class without initiate the class
3 x_i are independent uniform distribution,let s_\tao denoted the first time
the sum exceed 1, what the expectation of \tao(answer:e)
4.A matrix which is ordered each row (left to right)and column(up to dowm),
how to find an element in the matrix?
5.Assume the temperature on the earth is continuous, prove that there e... 阅读全帖 |
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l**i
发帖数: 5 | 48 it's not hard to prove that L1//BC etc,
the next thing is to prove the distance
from the center of the incircle to L1
is rcosA,where r is the radius of the
incircle,etc,and we are done.
To prove this,using trigonometrical
relations to find |H3T3| and suppose L1
intersects AB at P3,calculate |T3P3|
we can get the propotion of |AP3| to |AB|
the remaning thing is just checking it
using r and |AH1|.
I believe there should be simpler plane
geometrical method to do this. |
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a******y
发帖数: 2 | 49 I do not have a very rigorous prove either. :)
Here are some explanations.
这个式子的几何意义我很清楚，可是如何从已知的条件里推出来呢？
- it seems it's not easy to prove 几何意义. :)
- f(x) is convex, that is f(tx + (1-t)y) >= tf(x) + (1-t)f(y)
for all x, y in (a,b), t in [0,1], It's not hard to prove
f(x) is continuous for x in (a,b).
- if |a| > |2e|, f(a) >= 0 > g(a), f(x) > g(x) by convex,
area under f(x) will be larger than area under g(x). impossible.
- if |a| = |2e|, f(a) >= 0 = g(a), it has to be f(x) = g(x), equali |
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d****g
发帖数: 100 | 50 I think it is only because so-called "COSMOLOGY MODEL" and "string theory"
are only something like "new clothes of a king." These theories can not be
proved whether they are correct or wrong. So anybody can propose any theory.
Now a group of people is studying "string theory," which says this universe
has 11 dimensions. They will never prove it as they cannot, but on the other hand,
we cannot prove they are wrong either, as those are imaginations. This is the same
as a group of Christian study t |
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