boards

本页内容为未名空间相应帖子的节选和存档,一周内的贴子最多显示50字,超过一周显示500字 访问原贴
Mathematics版 - 杨振宁在数学上有什么重要贡献?
相关主题
有什么大猜想被证明是错的吗?
请看看这些类似twin prime conjecture的猜想有意义吗?
朱熹平的临门一脚的影响
50个包子请教 Chebyshev's integral inequality
怎么证明这个函数方程只有f(x)=x一个解
一个很珍贵的视频,很多牛人
华老在世界上算是什么量级的人物
挖坑问一句,20世纪数学家之中,陈省身入5绝之列吗? (转载)
以车为家 苦攻难题 华人数学家首次证明存在无穷多素数对(zz)
Goldston撰文介绍老张的工作
相关话题的讨论汇总
话题: proof话题: our话题: remember话题: conjecture话题: were
进入Mathematics版参与讨论
1 (共1页)
f******d
发帖数: 6361
1
内行的科普一下。
M****o
发帖数: 4860
2
28-82宇称不守恒。

【在 f******d 的大作中提到】
: 内行的科普一下。
f*c
发帖数: 687
3
李-杨的单位圆定理。他们问过 von Neumann,好像von Neumann也没办法。
他们只好自己做,就做出来了。
q*d
发帖数: 22178
4
你这一说还第一次看到,
真的假的?
无论李政道的传记还是杨振宁的传记都没提过这个.

【在 f*c 的大作中提到】
: 李-杨的单位圆定理。他们问过 von Neumann,好像von Neumann也没办法。
: 他们只好自己做,就做出来了。

h********0
发帖数: 12056
5
数学上贡献时zero!

【在 f*c 的大作中提到】
: 李-杨的单位圆定理。他们问过 von Neumann,好像von Neumann也没办法。
: 他们只好自己做,就做出来了。

s*****V
发帖数: 21731
6
杨李圆圈定理,老杨传记里有啊

【在 q*d 的大作中提到】
: 你这一说还第一次看到,
: 真的假的?
: 无论李政道的传记还是杨振宁的传记都没提过这个.

H*****t
发帖数: 155
7
老杨在学术生涯末期认为单位园定理算不上很大的贡献 但是他引以为傲的"美玉"之一.
Our attempt at proving the conjecture was a struggle, which I described in a
letter to M. Kac, dated September 30,1969-when he was writing for the
Collected Papers of George Polya. I quote now from that letter:
"We then formulated a physicist’s “proof” based on no double roots
when the strength of the couplings were varied. Very soon we recognized
this was incorrect; and for, I would guess, at least six weeks we were
frustrated in trying to prove the conjecture. I remember our checking
into Hardy’s book on Inequalities, our talking to Von Neumann and Selberg.
We were, of course, in constant contact with you all along (and I
remember with pleasure your later help in showing us Wintner’s work, which
we acknowledged in our paper). Sometime in early December, I believe, you
showed us the proof of the special case when all the couplings are
there and are
of equal strength, the case that you are now writing about in connection
with Polya’s collected works. The proof was fine, but we were still
stuck on the general problem. Then one evening around December 20, working
at home, I suddenly recognized that by making zl,z2, . . .
independent variables and studying their motions relative to the unit
circle one could, through an induction procedure, bring to bear a
reasoning similar to the one used in your argument and produce the
complete proof. Once this idea was there, it took only a few minutes to
tighten up all the details of the argument.
The next morning I drove Lee to pick up some Christmas trees, and I told
him the proof in the car. Later on, we went to the Institute;
and I remember telling you about the proof at a blackboard. I remember
these quite distinctly because I’m quite proud of both the conjecture
and the proof. It is not such a great contribution, but I fondly consider
it a minor gem."

【在 q*d 的大作中提到】
: 你这一说还第一次看到,
: 真的假的?
: 无论李政道的传记还是杨振宁的传记都没提过这个.

g****t
发帖数: 31659
8
不仅仅是物理学家,而且人家给很多数学家找到了新的工作领域,
相当于数学里面一代宗师的作用了。

【在 f******d 的大作中提到】
: 内行的科普一下。
1 (共1页)
进入Mathematics版参与讨论
相关主题
Goldston撰文介绍老张的工作
为什么Selberg可以凭一个初等证明得Field奖 ?
老张也挺幸运, 做研究这事也挺残酷(重读老张事迹有感)
An essay on the Riemann Hypothesis--Connes
some tales of mathematic!ans(127)
election problem
Six Oxford Mathematicians win LMS prizes
求推荐给国内初中高中的孩子看的数学名著
(zz)Heroes in My Heart (26)
关于 Sturm-Liouville 问题的紧急求助!!!!!!!!!
相关话题的讨论汇总
话题: proof话题: our话题: remember话题: conjecture话题: were