r*g
发帖数: 3159 | 1 https://www.simonsfoundation.org/quanta/20131119-together-and-alone-closing-
the-prime-gap/.
"We emphasize that the above result does not incorporate any of the
technology used by Zhang to establish the existence of bounded gaps between
primes."
这个小伙强调 coincidence：
The fact that Zhang and Maynard managed, within months of each other, to
prove that prime gaps are bounded is “a complete coincidence,” Maynard
said. “I found Zhang’s result very exciting when I heard about it.”
上了hacker news. |
M****o
发帖数: 4860 | 2 我还以为他要摘polymath的桃子，原来老张的也想摘，太fz了
closing-
between
【在 r*g 的大作中提到】
: https://www.simonsfoundation.org/quanta/20131119-together-and-alone-closing-
: the-prime-gap/.
: "We emphasize that the above result does not incorporate any of the
: technology used by Zhang to establish the existence of bounded gaps between
: primes."
: 这个小伙强调 coincidence：
: The fact that Zhang and Maynard managed, within months of each other, to
: prove that prime gaps are bounded is “a complete coincidence,” Maynard
: said. “I found Zhang’s result very exciting when I heard about it.”
: 上了hacker news.
|
M****o
发帖数: 4860 | 3 Tao相关的blog
http://terrytao.wordpress.com/2013/11/19/polymath8b-bounded-int
closing-
between
【在 r*g 的大作中提到】
: https://www.simonsfoundation.org/quanta/20131119-together-and-alone-closing-
: the-prime-gap/.
: "We emphasize that the above result does not incorporate any of the
: technology used by Zhang to establish the existence of bounded gaps between
: primes."
: 这个小伙强调 coincidence：
: The fact that Zhang and Maynard managed, within months of each other, to
: prove that prime gaps are bounded is “a complete coincidence,” Maynard
: said. “I found Zhang’s result very exciting when I heard about it.”
: 上了hacker news.
|
L*********s
发帖数: 3063 | 4 老张 has a “secret weapon”, so he wouldn't care if anyone picking the
peach.
While he isn’t currently working on the twin primes problem, he said, he
has a “secret weapon” in reserve — a technique to reduce the bound that
he developed before his result went public. He omitted this technique from
his paper because it is so technical and difficult, he said, adding that he
may publish it next year.
“It’s my own original idea,” he said. “It should be a completely new
thing.” |
x********i
发帖数: 905 | 5 http://arxiv.org/abs/1311.4600
closing-
between
【在 r*g 的大作中提到】
: https://www.simonsfoundation.org/quanta/20131119-together-and-alone-closing-
: the-prime-gap/.
: "We emphasize that the above result does not incorporate any of the
: technology used by Zhang to establish the existence of bounded gaps between
: primes."
: 这个小伙强调 coincidence：
: The fact that Zhang and Maynard managed, within months of each other, to
: prove that prime gaps are bounded is “a complete coincidence,” Maynard
: said. “I found Zhang’s result very exciting when I heard about it.”
: 上了hacker news.
|
x********i
发帖数: 905 | 6 Tao肯定特别郁闷
【在 M****o 的大作中提到】
: Tao相关的blog
: http://terrytao.wordpress.com/2013/11/19/polymath8b-bounded-int
:
: closing-
: between
|
f*****e
发帖数: 2992 | 7 All are influenced by Zhang's result. Without Zhang's result, they are just
there thinking.
【在 x********i 的大作中提到】
: Tao肯定特别郁闷
|
M****o
发帖数: 4860 | 8 Tao也没啥郁闷的吧 他也没想自己搞这个 polymath玩玩而已
【在 x********i 的大作中提到】
: Tao肯定特别郁闷
|
D**o
发帖数: 2653 | 9 学术研究的残酷性，要是Maynard早发表出来，张益唐就歇菜了
老张赶紧把secret weapon拿出来吧
closing-
between
【在 r*g 的大作中提到】
: https://www.simonsfoundation.org/quanta/20131119-together-and-alone-closing-
: the-prime-gap/.
: "We emphasize that the above result does not incorporate any of the
: technology used by Zhang to establish the existence of bounded gaps between
: primes."
: 这个小伙强调 coincidence：
: The fact that Zhang and Maynard managed, within months of each other, to
: prove that prime gaps are bounded is “a complete coincidence,” Maynard
: said. “I found Zhang’s result very exciting when I heard about it.”
: 上了hacker news.
|
g*****n
发帖数: 420 | 10 这个人在zhang发表文章后,在ariv上写过一篇关于Bounded Gap的文章,引用了张的结果.
说是完全独立思考,有点扯淡了吧 |
|
|
f*****e
发帖数: 2992 | 11 是扯淡，要不然Tao也可以说他独立得出了任意Bouneded prime cluster重复无限多次的
结论。即使他摘了Zhang的桃，Tao也可以说摘了Maynard的桃。
果.
【在 g*****n 的大作中提到】
: 这个人在zhang发表文章后,在ariv上写过一篇关于Bounded Gap的文章,引用了张的结果.
: 说是完全独立思考,有点扯淡了吧
|
w**a
发帖数: 1024 | 12 张老师真是太厉害了。赶快把核武器放出来吧，把他们炸个灰飞烟灭。 |
x********i
发帖数: 905 | |
M****o
发帖数: 4860 | 14 丫为啥不先投稿
【在 x********i 的大作中提到】
: bs!
|
d*****g
发帖数: 1616 | 15 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 the proof could be improved. Unbeknownst to Maynard, at much
the same time (late October), one of the world's greatest living
mathematicians, Terry Tao, asked himself the same question. Both found, to
their surprise, that a relatively minor variant made an enormous diference,
and that it was suddenly much easier to prove Zhang's Main Theorem and to go
far beyond, because one can avoid having to prove any difficult new results
about primes in arithmetic progressions. Moreover it is now not difficult
to prove results about m primes in a bounded interval, rather than just two.
【在 M****o 的大作中提到】
: Tao也没啥郁闷的吧 他也没想自己搞这个 polymath玩玩而已
|
M****o
发帖数: 4860 | 16 都是看了老张的证明才开始搞的吧
themselves
summer
years
,
go
results
two.
【在 d*****g 的大作中提到】
: 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 the proof could be improved. Unbeknownst to Maynard, at much
: the same time (late October), one of the world's greatest living
|
p******e
发帖数: 1151 | 17 Clearly
This is a very high compliment to Mr. Zhang from Andrew Granville.
And it is also mentioned that recent achievements reprove Zhang's theorem
and obtain finer results. (So no one can steal the diamond from Zhang.)
"Coincidence" is a shame, but it is not really said directly by that smart
young man James Maynard (quoted by others).
And James Maynard's paper did not contain "coincidence". |
M****o
发帖数: 4860 | 18 maybe a coincidence with Tao's work/idea?
【在 p******e 的大作中提到】
: Clearly
: This is a very high compliment to Mr. Zhang from Andrew Granville.
: And it is also mentioned that recent achievements reprove Zhang's theorem
: and obtain finer results. (So no one can steal the diamond from Zhang.)
: "Coincidence" is a shame, but it is not really said directly by that smart
: young man James Maynard (quoted by others).
: And James Maynard's paper did not contain "coincidence".
|
c*****r
发帖数: 529 | 19 this comment is very 公道：
anonymous says:
November 20, 2013 at 2:30 pm
When there are possibly a million approaches towards solving a problem, and
the feasibility of each approach is verifiable in polynomial time, this
problem is called NP-HARD. When a prophet tells you that one particular
approach is doable, then everybody can solve this problem in polynomial time.
When there are a million conjectures, and the provability of each conjecture
requires indefinite time to know, this family of conjectures is called
UNDECIDABLE. When a prophet tells you that one particular conjecture (e.g.
bounded gaps between primes) is doable with contemporary techniques (
modification of GPY), then a lot mathematicians, Tao for instance, would
stop their current work and prove the conjecture “within months of each
other”. I think you shouldn’t call this “a complete coincidence”. |
f*****e
发帖数: 2992 | 20 一看就知道是老中说的。
and
time.
conjecture
【在 c*****r 的大作中提到】
: this comment is very 公道：
: anonymous says:
: November 20, 2013 at 2:30 pm
: When there are possibly a million approaches towards solving a problem, and
: the feasibility of each approach is verifiable in polynomial time, this
: problem is called NP-HARD. When a prophet tells you that one particular
: approach is doable, then everybody can solve this problem in polynomial time.
: When there are a million conjectures, and the provability of each conjecture
: requires indefinite time to know, this family of conjectures is called
: UNDECIDABLE. When a prophet tells you that one particular conjecture (e.g.
|
|
|
t*******e
发帖数: 172 | 21 其实类似的八卦（我不记得出处）
Smale证明了高维Poincare conjecture后，有人很快（可能就几天）的也‘独立’的证
明了相同的结果。so what?
知道一个东西能做之后在做出来，显然比不知道一个东西是否能够做然后做出来要容易
太多了。
【在 f*****e 的大作中提到】
: 一看就知道是老中说的。
:
: and
: time.
: conjecture
|
f*****e
发帖数: 2992 | 22 这就是为什么IT产品容易山寨的原因。
【在 t*******e 的大作中提到】
: 其实类似的八卦（我不记得出处）
: Smale证明了高维Poincare conjecture后，有人很快（可能就几天）的也‘独立’的证
: 明了相同的结果。so what?
: 知道一个东西能做之后在做出来，显然比不知道一个东西是否能够做然后做出来要容易
: 太多了。
|
b**********r
发帖数: 91 | 23 翻了一下他的论文，在老张的文章之后发表，这篇含金量不算大，尽管结果要好一些，
只能算改进和提高，不能算突破.
closing-
between
【在 r*g 的大作中提到】
: https://www.simonsfoundation.org/quanta/20131119-together-and-alone-closing-
: the-prime-gap/.
: "We emphasize that the above result does not incorporate any of the
: technology used by Zhang to establish the existence of bounded gaps between
: primes."
: 这个小伙强调 coincidence：
: The fact that Zhang and Maynard managed, within months of each other, to
: prove that prime gaps are bounded is “a complete coincidence,” Maynard
: said. “I found Zhang’s result very exciting when I heard about it.”
: 上了hacker news.
|
