s*****V
发帖数: 21731 | 1 https://www.quantamagazine.org/20160628-peter-scholze-arithmetic-geometry-
profile/
2010, a startling rumor filtered through the number theory community and
reached Jared Weinstein. Apparently, some graduate student at the University
of Bonn in Germany had written a paper that redid “Harris-Taylor” — a
288-page book dedicated to a single impenetrable proof in number theory —
in only 37 pages. The 22-year-old student, Peter Scholze, had found a way to
sidestep one of the most complicated parts of... 阅读全帖 |
|
w*******s
发帖数: 96 | 2 How to implement + - * / without arithmetic operation? |
|
|
w*******s
发帖数: 96 | 4 How to implement + - * / without arithmetic operation? |
|
|
|
b********n
发帖数: 29 | 7 花了两个礼拜才做出来。。。各种查资料。。。
数学上面，得到恒定差的次数是p_1+...+p_n, 得到的定差结果是d1^p1*d2^p2...*dn^
pn*(p1+..._pn)!
这个公式可以通过自己手推，把2个等差数列乘起来，你会发现求两次差就可以得到定
值，把3个乘起来，...一直到把n个乘起来，得到的求差次数是一个和式（在这个网页
里面有http://www.mymathforum.com/viewtopic.php?f=40&t=7993）而这个和式正好等于(p1+...+pn)!
下面的问题就在于提高运算效率，有三点
第一点就是如何maintain任何一个区间里的(p1+...+pn)和d1^p1*...*dn^pn. 这个因为
是range query，用segment tree得到，可以得到lg(n)的update和query time.如果每
次query都需要求一遍和的话，需要O(n)时间，如果提前算prefix sum的话，query是O(
1)，可是update v需要O(n)，所以两种方法都会超时，必须同时有O(lgn)的update和
query time... 阅读全帖 |
|
B*********L
发帖数: 700 | 8 大家帮忙看,我有一个非常直接query，就是select ... from xxx，但是超过1000行，
每行都有数学公式，我每小时run一次，现在时常有下面这个error：
Arithmetic overflow error converting expression to data type float
我不知道是哪一行的毛病，大家遇到这样的情况怎么办？ |
|
O******2
发帖数: 210 | 9 RT:
求PDF的：
Computer Arithmetic and Verilog HDL Fundamentals, Joseph Cavanagh, CRC Press
, 2010. |
|
p****l
发帖数: 2 | 10 anyone interested in arithmetic algebraic geometry? like zeta/L-functions.
can someone explain why the prime 2 is special among all primes? |
|
b*******i
发帖数: 548 | 11 Arithmetic Geometry contains a wide range of different subjects.
在太多情况下，2都会带来分歧，甚至是野蛮分歧，这是数论里最难对付的东西。 |
|
t******q
发帖数: 117 | 12 if it is arithmetic coding related,
I do not touch it yet, since for my case it is too time consuming
to be implemented effecently by DSP.
maybe use a 1G HZ dsp chip to finish the job :P |
|
f**d
发帖数: 768 | 13 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 |
|
a*****g
发帖数: 19398 | 14 December 18, 2013
By VIKAS BAJAJ
http://www.nytimes.com/2013/12/18/opinion/q-a-with-liping-ma.ht
Liping Ma, a former teacher and principal in China, has written extensively
about the differences between how the United States and China teach math to
elementary school students. After earning a doctorate in curriculum and
teacher education from Stanford University, she worked as a senior scholar
at the Carnegie Foundation for the Advancement of Teaching. In 1999, she
published “Knowing and Teaching... 阅读全帖 |
|
a*****g
发帖数: 19398 | 15 December 18, 2013
By VIKAS BAJAJ
http://www.nytimes.com/2013/12/18/opinion/q-a-with-liping-ma.ht
Liping Ma, a former teacher and principal in China, has written extensively
about the differences between how the United States and China teach math to
elementary school students. After earning a doctorate in curriculum and
teacher education from Stanford University, she worked as a senior scholar
at the Carnegie Foundation for the Advancement of Teaching. In 1999, she
published “Knowing and Teaching... 阅读全帖 |
|
a*****g
发帖数: 19398 | 16 December 18, 2013
By VIKAS BAJAJ
http://www.nytimes.com/2013/12/18/opinion/q-a-with-liping-ma.ht
Liping Ma, a former teacher and principal in China, has written extensively
about the differences between how the United States and China teach math to
elementary school students. After earning a doctorate in curriculum and
teacher education from Stanford University, she worked as a senior scholar
at the Carnegie Foundation for the Advancement of Teaching. In 1999, she
published “Knowing and Teaching... 阅读全帖 |
|
a*****g
发帖数: 19398 | 17 December 18, 2013
By VIKAS BAJAJ
http://www.nytimes.com/2013/12/18/opinion/q-a-with-liping-ma.ht
Liping Ma, a former teacher and principal in China, has written extensively
about the differences between how the United States and China teach math to
elementary school students. After earning a doctorate in curriculum and
teacher education from Stanford University, she worked as a senior scholar
at the Carnegie Foundation for the Advancement of Teaching. In 1999, she
published “Knowing and Teaching... 阅读全帖 |
|
t******l
发帖数: 10908 | 18 ：一个最有效的初始猜测似乎是假设鸡兔一样多，check总脚数如果太多，往鸡多兔少方
：向revise，反之则反是。对于小学低年级而言，guess, check and revise其实是一个
：很好的思维方式培养。将来解决很多更复杂的问题，不少也会用到类似的思路。
这个例子其实可以看到从 arithmetic 到 algebra 的 leap，如果用俺的在
arithmetic 和 algebra 当中的 set-theory-based deduction (Magician Table for
MOEMS)，那最初假设常常是假设全部都是鸡更方便，因为这样把一只鸡 flip 成兔子，
多 2 条腿。于是一个除法解决问题（外加一个加法）。（当然选中点也不是不可以，
但是自找麻烦）。
这个跟 sum of arithmetic sequence，在 arithmetic 阶段的娃最初都是找中间点，
找左右 pair-wise 的 pattern。而到 algebra 阶段的娃就变成 make another copy，
reverse order，这样避免了 algebra 中找中点的不... 阅读全帖 |
|
t******l
发帖数: 10908 | 19 回过头来说小学算术（arithmetic，不包括 pre-algebra）。其实小学 arithmetic
应该是算 spatial 的，瓢虫阵法显然都是 spatial 的，place value 其实在小学
意义上也是 spatial 的（想想 place 那个词就知道了）。还有竖式乘除法，也有相当
的 spatial 的成分。当然这些都是指还没有熟练到用脊髓就能做出来的时候，那个就是
条件反射了。
不过这么一来就有个问题是 word problem。其实小学 arithmetic 阶段的 word
problem 相对很简单，其主旨并不是用 verbal logics to solve problem，而是
convert verbal to spatial，也就是数学建模。（当然，GT 天才班的小学超级艰难
绕弯子 arithmetic 除外）。
以上说的小学 arithmetic，特指不包含 pre-algebra 部分的。 |
|
s********g
发帖数: 51 | 20 ●Only One Eye to Settle On
The girl found the go-between and said, "You cheated me ! One of his
eyes is not true. Why didn't you tell me this before ?"
"I have told you. " said the go-between with justice on his side, When
you met first, I told you that he settled on you with one eye.
姑娘找到媒人，说：“你欺骗了我。他的一只眼是假眼，你以前为什么不告诉我?
” “怎么没告诉你?”媒人也不甘示弱，“你们第一回见面后，我就说，他一眼就看中
你了。”
●You May Select可以选择
The husband complained that his wife always cooked the same dish.
One day, the husband got home and asked his wi... 阅读全帖 |
|
d******s
发帖数: 180 | 21 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 |
|
y****d
发帖数: 432 | 22 【7】【Springer】GTM美国研究生数学书籍全集
LIST：
1 Introduction to Axiomatic Set Theory, Gaisi Takeuti, W. M. Zaring
2 Measure and Category, John C. Oxtoby
3 Topological Vector Spaces, H.H. Schaefer, M.P. Wolff
4 A Course in Homological Algebra, Peter Hilton, Urs Stammbach
5 Categories for the Working Mathematician, Saunders Mac Lane
6 Projective Planes, Hughes, Piper
7 A Course in Arithmetic, Jean-Pierre Serre
8 Axiomatic Set Theory, Gaisi Takeuti, Zaring
9 Introduction to Lie Algebras and Representation The... 阅读全帖 |
|
a*****g
发帖数: 19398 | 23 （原文标题－－The Best Language for Math ）
Sept. 9, 2014
【注：刚才遇到一位平时熟悉的美国教育学系的教授．
她说看了这篇文章，以为是我写的．
因为平时我发表的中文对数学教育影响的观点，
以及围棋数学这个游戏对儿童数学能力的影响，
基本上已经覆盖了这篇文章中几位教授的工作．
我说暂时还和文章里面的教授们没有交集，
不过早晚有一天他们会知道围棋数学．】
What's the best language for learning math? Hint: You're not reading it.
Chinese, Japanese, Korean and Turkish use simpler number words and express m
ath concepts more clearly than English, making it easier for small children
to learn counting and arithmetic, research shows.
The language gap is drawing... 阅读全帖 |
|
a*****g
发帖数: 19398 | 24 （原文标题－－The Best Language for Math ）
Sept. 9, 2014
【注：刚才遇到一位平时熟悉的美国教育学系的教授．
她说看了这篇文章，以为是我写的．
因为平时我发表的中文对数学教育影响的观点，
以及围棋数学这个游戏对儿童数学能力的影响，
基本上已经覆盖了这篇文章中几位教授的工作．
我说暂时还和文章里面的教授们没有交集，
不过早晚有一天他们会知道围棋数学．】
What's the best language for learning math? Hint: You're not reading it.
Chinese, Japanese, Korean and Turkish use simpler number words and express m
ath concepts more clearly than English, making it easier for small children
to learn counting and arithmetic, research shows.
The language gap is drawing... 阅读全帖 |
|
a*****g
发帖数: 19398 | 25 （原文标题－－The Best Language for Math ）
Sept. 9, 2014
【注：刚才遇到一位平时熟悉的美国教育学系的教授．
她说看了这篇文章，以为是我写的．
因为平时我发表的中文对数学教育影响的观点，
以及围棋数学这个游戏对儿童数学能力的影响，
基本上已经覆盖了这篇文章中几位教授的工作．
我说暂时还和文章里面的教授们没有交集，
不过早晚有一天他们会知道围棋数学．】
What's the best language for learning math? Hint: You're not reading it.
Chinese, Japanese, Korean and Turkish use simpler number words and express m
ath concepts more clearly than English, making it easier for small children
to learn counting and arithmetic, research shows.
The language gap is drawing... 阅读全帖 |
|
l*****n
发帖数: 125 | 26 Godel的定理简单的说就是证明了"arithmetic is not recursively enumerable."
RE是比decidability弱一些的一个性质，并不要求程序终止，也可以叫做
semidecidable。所以证明了arithmetic不是RE的当然也就证明了arithmetic不是
decidable的。所以，理解Godel的定理需要知道什么是RE，当然和decidability也有关
系，但是说要学Godel's incompleteness theorem必须先学decidability和
undecidability，个人觉得还是未必，呵呵。
至于证明，我也说了，halting problem和Godel的定理有类似的地方，都可以用到对角
线方法（也可以不用，两者都有不止一种证法），本质上都是在构造逻辑悖论，但并不
代表他们描述的是同一个性质，一个是关于RE，一个是关于decidability。
关于inconsistency，看来是我表述不清，每个人都以为我把自洽性当成soundness，其
实我并没有这个意思。我没提inconsistency是因为这... 阅读全帖 |
|
F**********y
发帖数: 936 | 27 刘路是不是欠你钱了?先是贬journal of symbolic logic为二流甚至不入流的刊物，后
又说他的结果不怎么样。
你们新加坡国立大学数学系主任在那刊物上发过一篇，你能不能问问他他的其他文章投
J.Symbolic Logic,能否投中？
他也是数理逻辑界成名的人物，看看他的论文：
1. C. T. Chong and Yue Yang, $\Sigma_2$ induction and infinite injury
priority arguments. Part I: Maximal sets and the jump operator. J. Symbolic
Logic, 63 (1998), 797-814
2. C. T. Chong and Yue Yang, $\Sigma_2$ induction and infinite injury
priority arguments. Part II: Tame $\Sigma_2$ coding and the jump operator.
Annals of Pure and Applied Logic 87... 阅读全帖 |
|
f***e
发帖数: 332 | 28 WEI ZHANG TO RECEIVE 2010 SASTRA RAMANUJAN PRIZE
http://www.math.ufl.edu/sastra-prize/2010.html
The 2010 SASTRA Ramanujan Prize will be awarded to Wei Zhang, who is now a
Benjamin Pierce Instructor at the Department of Mathematics, Harvard
University,
USA. This annual prize which was established in 2005, is for outstanding
contributions by very young mathematicians to areas influenced by the genius
Srinivasa Ramanujan. The age limit for the prize has been set at 32 because
Ramanujan achieved so ... 阅读全帖 |
|
a*****g
发帖数: 19398 | 29 （原文标题－－The Best Language for Math ）
Sept. 9, 2014
【注：刚才遇到一位平时熟悉的美国教育学系的教授．
她说看了这篇文章，以为是我写的．
因为平时我发表的中文对数学教育影响的观点，
以及围棋数学这个游戏对儿童数学能力的影响，
基本上已经覆盖了这篇文章中几位教授的工作．
我说暂时还和文章里面的教授们没有交集，
不过早晚有一天他们会知道围棋数学．】
What's the best language for learning math? Hint: You're not reading it.
Chinese, Japanese, Korean and Turkish use simpler number words and express m
ath concepts more clearly than English, making it easier for small children
to learn counting and arithmetic, research shows.
The language gap is drawing... 阅读全帖 |
|
n*********y
发帖数: 54 | 30 WEI ZHANG TO RECEIVE 2010 SASTRA RAMANUJAN PRIZE
http://www.math.ufl.edu/sastra-prize/2010.html
The 2010 SASTRA Ramanujan Prize will be awarded to Wei Zhang, who is now a
Benjamin Pierce Instructor at the Department of Mathematics, Harvard
University, USA. This annual prize which was established in 2005, is for
outstanding contributions by very young mathematicians to areas influenced
by the genius Srinivasa Ramanujan. The age limit for the prize has been set
at 32 because Ramanujan achieved so ... 阅读全帖 |
|
a*********3
发帖数: 660 | 31 定义 definition变量 variable面积 area直径 diameter半径 radius公式 formula
单价 unit price范围 range/scope/extent集合 set法则 principle本金 principal利
率 interest rate利息 interest单利 simple interest复利 compound interest正数
positive number负数 negative number解析式 analytic expression分类讨论
classified discussion性质 nature （不是很确定）奇函数 odd function偶函数
even function对称 symmetric坐标原点 origin单调性 monotonicity（不是很确定）
任意 random周期性 periodic 有界性 boundedness 数学 mathematics, maths(BrE)
, math(AmE) 公理 axiom 定理 theorem 计算 calculation 运算 operat... 阅读全帖 |
|
x********i
发帖数: 905 | 32 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 |
|
h*********3
发帖数: 111 | 33 career cup 上的.
* Given an array of integers A, give an algorithm to find the longest
Arithmetic progression in it, i.e find a sequence i1 < i2 < … < ik, such
that
A[i1], A[i2], …, A[ik] forms an arithmetic progression, and k is the
largest possible. The sequence S1, S2, …, Sk is called an arithmetic
progression if
Sj+1 – Sj is a constant
* Given a list of points in the plane, write a program that outputs each
point along with the three other points that are closest to it. These three
points orde... 阅读全帖 |
|
B*******1
发帖数: 2454 | 34 Given an array of integers A, give an algorithm to find the longest
Arithmetic progression in it, i.e find a sequence i1 < i2 < … < ik, such
that
A[i1], A[i2], …, A[ik] forms an arithmetic progression, and k is the
largest possible.
The sequence S1, S2, …, Sk is called an arithmetic progression if
Sj+1 – Sj is a constant
should be DP, but could not figure out the dp function. |
|
D*******e
发帖数: 151 | 35 Given an array of integers A, give an algorithm to find the longest
Arithmetic progression in it, i.e find a sequence i1 < i2 < … < ik, such
that A[i1], A[i2], …, A[ik] forms an arithmetic progression, and k is the
largest possible. The sequence S1, S2, …, Sk is called an arithmetic
progression if Sj+1 – Sj is a constant. |
|
a*****g
发帖数: 19398 | 36 长篇文章：Why Do Americans Stink at Math?
When Akihiko Takahashi was a junior in college in 1978, he was like most of
the other students at his university in suburban Tokyo. He had a vague sense
of wanting to accomplish something but no clue what that something should b
e. But that spring he met a man who would become his mentor, and this relati
onship set the course of his entire career.
Takeshi Matsuyama was an elementary-school teacher, but like a small number
of instructors in Japan, he taught no... 阅读全帖 |
|
a*****g
发帖数: 19398 | 37 长篇文章：Why Do Americans Stink at Math?
When Akihiko Takahashi was a junior in college in 1978, he was like most of
the other students at his university in suburban Tokyo. He had a vague sense
of wanting to accomplish something but no clue what that something should b
e. But that spring he met a man who would become his mentor, and this relati
onship set the course of his entire career.
Takeshi Matsuyama was an elementary-school teacher, but like a small number
of instructors in Japan, he taught no... 阅读全帖 |
|
t*******r
发帖数: 22634 | 38 I respectfully disagree your opinion.
The reason is, all our fundamental questions for elementary
school kids, require certain level of critical thinking. e.g.
"The sense of purpose" and "The meaning of life":
Stephen Hawking's Grand Design: The Meaning of Life
http://www.youtube.com/watch?v=CGUCFCy3hTE
Even in our elementary school arithmetic, it also require
certain level of critical thinking. As we all know our
elementary school arithmetic is merely one of the many
possible formal systems, so... 阅读全帖 |
|
t******l
发帖数: 10908 | 39 我个人觉得，幼儿园到小学数学里 space-time-pattern：
第一个里程碑是 understanding (naive) sets（比如 counting。。。）
第二个里程碑是 place value。实际上 The Hindu–Arabic numeral system --
positional notation system 是人类数学史上的一个里程碑。
第三个里程碑是 arithmetic properties，这个里程碑是从算术到代数的桥梁。。。因
为从算术到代数的跨越式的发展/外延这一跃，所有其它算术里的结论和 routine，在
代数里都有可能不适用。。。But arithmetic properties always stands. Because
if arithmetic properties fall, the whole algebra system fall. That is simply
because algebra system SHALL stand no matter what numbers (within the range
) ar... 阅读全帖 |
|
t******l
发帖数: 10908 | 40 通常娃如果要教 sum of arithmetic sequence 的话，在教育学上的前提是
娃能够 (1) conserve, (2) reverse (Piaget 教育学术语)，再加上一个
mathematical "indexing" (matching)。
其实我不严格地测了一下 6 岁通常小娃，其实 6 岁通常小娃上面那些都能做。
但是 sum of arithmetic sequence 想都不要想，我测试了一下教她理解
division is the "reverse" of multiplication，这都还不行。。。原因
我一看就知道，困难是并不是在 conserve / reverse / indexing 这些
concrete operation 本身，而是要把这些 operation 放在 “娃版
mathematical structure”上操作，而这 structure 上面还有一个头疼的
operator 叫 "any"。。。难倒 6 岁通常小娃了。
我给大娃从四年级开始加料一些数学，一直加料到六年级快结束的时候，她
终于有一天说她会（明白概念的... 阅读全帖 |
|
a*****g
发帖数: 19398 | 41 长篇文章：Why Do Americans Stink at Math?
When Akihiko Takahashi was a junior in college in 1978, he was like most of
the other students at his university in suburban Tokyo. He had a vague sense
of wanting to accomplish something but no clue what that something should b
e. But that spring he met a man who would become his mentor, and this relati
onship set the course of his entire career.
Takeshi Matsuyama was an elementary-school teacher, but like a small number
of instructors in Japan, he taught no... 阅读全帖 |
|
z*****3
发帖数: 1793 | 42 首先，halting problem和 Godel's incompleteness theorem必然联系。Godel讲的就
是undecidability.我想你是没上过symbolic logic. 要学Godel's incompleteness
theorem必须先学decidability和undecidability。
http://en.wikipedia.org/wiki/On_Formally_Undecidable_Propositio
这篇文章就是出处。
其次，这里的不自洽性是inconsistent，和soundness没关系。Godel 我上symbolic
logic的时候老师是这样翻译的。soundness应该翻译成可靠性。
所以他说的是对的，
“Any effectively generated theory capable of expressing elementary
arithmetic cannot be both consistent and complete”
http://en.wikipedia.org/wiki/Göd... 阅读全帖 |
|
g****g
发帖数: 1828 | 43 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 |
|
t******n
发帖数: 2939 | 44 ☆─────────────────────────────────────☆
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 |
|
t*****h
发帖数: 137 | 45 And also the usual arithmetic conversions covered in Arithmetic Conversions
are applied to operands of arithmetic types in relational operators.
This is really a subtle issue which has me caught. |
|
a*****g
发帖数: 19398 | 46 长篇文章：Why Do Americans Stink at Math?
When Akihiko Takahashi was a junior in college in 1978, he was like most of
the other students at his university in suburban Tokyo. He had a vague sense
of wanting to accomplish something but no clue what that something should b
e. But that spring he met a man who would become his mentor, and this relati
onship set the course of his entire career.
Takeshi Matsuyama was an elementary-school teacher, but like a small number
of instructors in Japan, he taught no... 阅读全帖 |
|
M****o
发帖数: 4860 | 47 Mathematics
Green has published several important results in both combinatorics and
number theory. These include improving the estimate by Jean Bourgain of the
size of arithmetic progressions in sumsets, as well as a proof of the
Cameron–Erd s conjecture on sum-free sets of natural numbers.
His work in demonstrating that every set of primes of positive relative
upper density contains an arithmetic progression of length three then led to
his breakthrough 2004 work with mathematician Terence Tao ... 阅读全帖 |
|
v**********m
发帖数: 5516 | 48 Sir Karl Raimund Popper, CH FRS[1] FBA (28 July 1902 – 17 September 1994)
was an Austro-British[2] philosopher and a professor at the London School of
Economics.[3] He is regarded as one of the greatest philosophers of science
of the 20th century;[4][5] he also wrote extensively on social and
political philosophy.
Popper is known for his attempt to repudiate the classical observationalist
/ inductivist form of scientific method in favour of empirical falsification
. He is also known for his oppo... 阅读全帖 |
|
M*V
发帖数: 3205 | 49 发信站: BBS 未名空间站 (Sat Oct 27 10:00:17 2012, 美东)
Joke: Presidential Debate 2012, Act III
10/22/2012
By Limin Wang
In the evening of October 16, 2012, at the Smack Complex of Hofstra
University on Long Island, New York, President Obama and former governor
Romney had the second finger-to-finger presidential debate. Candy Growly
tried her hardest to moderate them.
Outside the debate building, large swarms of people had decided on their own
to join the show. Some said that they wanted to bring their ow... 阅读全帖 |
|
d*****g
发帖数: 1616 | 50 http://engnews.csu.edu.cn/csuen/html/2011-09-28/1dc77a4576c24a9
Liu Jiayi’s paper “Ramsey Theorem for Pair as Second Order Arithmetic
Statement Does Not Imply Weak Konig Lemma” probes into a problem of reverse
mathematics, namely the strength of Ramsey theorem for pair as second order
arithmetic statement, which was put forward by an English mathematic
logician Seetapun in 1990s. |
|
