BR
发帖数: 4151 | |
G********n
发帖数: 615 | 2 One of Chern's conjectures
【在 BR 的大作中提到】
: 门外汉，问问。
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w**********r
发帖数: 128 | 3 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. Schoen's conjecture is only
correct for dimensions less than 25. |
B********e
发帖数: 10014 | 4 亚里士多德的不少定理都是这下场吧
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l********e
发帖数: 3632 | 5 “大”怎么定义。
证明了或者证否都可以拿菲尔兹的才能叫大。 |
D**u
发帖数: 204 | 6 Here is a "小" but interesting one.
It was conjectured that "polyhedra are rigid" many years ago by
names like Euler. The convex case was long known to be true,
but not until the 70's a counterexample was found
for a non-convex one.
Here "polyhedra" are formed by rigid faces, but the angles
between connecting faces are allowed to change.
See:
http://en.wikipedia.org/wiki/Flexible_polyhedron
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l******r
发帖数: 18699 | 7 泛函分析里有两个重要概念：可分和可数基
可数基＝》可分很trivial
有人猜想反之亦然可是直到70's被Enflo举反例证明是错的
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B****n
发帖数: 11290 | 8 很多巴
我相信很久以前很多數學家應該相信高次多項式總有根式解 希臘那些數學家相信化圓
為方那些難題也應該是做得到的 結果後來都證明是做不到的
其實錯誤是人人都會發生的 甚至是大數學家弄錯簡單的事情 比方說大數學家Leibniz
在Acta(1702)曾經宣稱x^4+a是不可以分解成一次或兩次實係數多項式的 這個是國中生
真的有可能分解出來的喔 呵呵
【在 BR 的大作中提到】
: 门外汉，问问。
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c**********j
发帖数: 133 | 9 Strong Mertens Conjecture.
【在 BR 的大作中提到】
: 门外汉，问问。
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