文章采用史学分析方法全面探讨了数学猜想的特点、类型，提出方法及解决方法。
Using method of historical analysis, the paper analysed mathematical conjecture 'character, category, posing and solving methods.
人们可以想象，向一位数学家出示看来为数学提供数论基础的数学猜想是一件多么令人讨厌的事。
One may also imagine how distasteful it should be to mathematician to show them that the greatest mathematical conjecture ever, that seems provide the number theoretical foundations of mathematics.
然而，大多数弦理论模式都是基于确定的数学猜想，我们所需要说明的东西就是此类弦理论有一些明确的预测可以检测到。
However, most string theory models are based upon certain mathematical assumptions, and what we ve shown is that such string theories have some definite predictions that can be tested.
现在他和他的同事用严谨的数学论据去证明这一猜想。
Now he and a colleague have proven it using rigorous mathematical arguments.
庞加莱猜想的重要不仅在于它的实际应用性，还因为巨量的数学工作是基于假定庞加莱猜想是正确的。
Poincare's conjecture is important not for its practical applications, but because a vast quantity of mathematical work assumes that it is true.
一旦证明猜想是伪命题，那将使人们对现代数学的许多部分产生质疑——当然也包括基于庞加莱猜想的一切。
Proving the conjecture false would have cast doubt on much of modern mathematics-and everything that depends on it.
19世纪晚期的法国博学家亨利·庞加莱(Henri poincare)提出了一个猜想，结果数学家们为之奋斗了整整一个世纪。
FOR the past century mathematicians have struggled to prove the conjecture of a late-19th-century French polymath, Henri poincare.
数学家证明了该猜想的有效性。
又一个化圆为方猜想，又一场数学新闻组里的互相乱喷——也许更严重？
Another cubed-sphere hypothesis, another flame war in the math newsgroups-or something more serious?
第二章考察了计算机在数学应用中的两个具体案例：四色猜想的计算机证明和分形几何的建立。
The second inspect the two typical cases: computer proof of four-color conjecture and establishing of fractal geometry.
一如数学领域中的歌德巴赫猜想，“法律是什么”这个问题是法学中最著名的、尚未得到解决的问题之一。
Like the Goldbach conjecture in mathematics, what is law is one of the most famous still unsolved problems in jurisprudence.
文章给出一个研究哥德巴赫猜想的初等数学方法。
This paper gives a primary mathematical mathed to study Goldebach conjecture.
介绍几种数学解题中行之有效的猜想策略。
This paper offers some effective ways of guess in working on mathematics problems.
数学家可以证明黎曼猜想吗？
庞加莱猜想最先由法国数学家亨利?庞加莱于1904年提出，是一个关于三维空间形状的问题。
The Poincaré Conjecture was first posed by the French mathematician, Jules Henri Poincaré, in 1904, and seeks to understand the shape of the universe by linking shapes, spaces and surfaces.
8月22日的国际数学家大会（the InternationalCongressof Mathematicians）上，授予了佩雷尔曼博士最高荣誉——菲尔兹奖（theFieldsmedal），以表彰他对解决庞加莱猜想做出的贡献。 时过三年以后，佩雷尔曼对庞加莱猜想的证明已被证实了正确性。
On August 22nd the International Congress of Mathematicians awarded Dr Perelman its highest honour, the Fields medal, for his solution which, having stood for three years, is now taken as correct.
8月22日的国际数学家大会（the InternationalCongressof Mathematicians）上，授予了佩雷尔曼博士最高荣誉——菲尔兹奖（theFieldsmedal），以表彰他对解决庞加莱猜想做出的贡献。 时过三年以后，佩雷尔曼对庞加莱猜想的证明已被证实了正确性。
On August 22nd the International Congress of Mathematicians awarded Dr Perelman its highest honour, the Fields medal, for his solution which, having stood for three years, is now taken as correct.
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