Examples of using Fermat's last theorem in English and their translations into Vietnamese
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Fermat's Last Theorem Documentary.
What came to be known as Fermat's Last Theorem looked simple;
Fermat's Last Theorem went unsolved for hundreds of years.
Are mathematicians finally satisfied with Andrew Wiles's proof of Fermat's Last Theorem?
The Fermat's Last Theorem was proposed by French mathematician Pierre de Fermat in 1637.
In 1993, after six years working secretly on the problem,Wiles succeeded in proving enough of the conjecture to prove Fermat's Last Theorem.
For example, Wiles's proof of Fermat's Last Theorem uses the existence of very large infinite sets.
NOVA: So, because Taniyama-Shimura was a modern problem, this meant that working on it,and by implication trying to prove Fermat's Last Theorem, was respectable.
There are several alternative ways to state Fermat's Last Theorem that are mathematically equivalent to the original statement of the problem.
Fermat's Last Theorem is just about numbers, so it seems like we ought to be able to prove it by just talking about numbers," McLarty said.
The connection is described below: any solution that could contradict Fermat's Last Theorem could be used to contradict the Modularity Theorem. .
(In fact, the maximum common prime factor of the exponents that is valid is 2;a common factor greater than 2 would be a counterexample to Fermat's Last Theorem.).
In fact, they thought that to prove Fermat's Last Theorem, they needed to create a number system that included a wild-looking value: e2πi/n.
I, I knew that moment the course of mylife was changing because this meant that to prove Fermat's last theorem I just had to prove Taniyama-Shimura conjecture.
His first paper was on Fermat's last theorem comprising a partial proof for the case n= 5, which was completed by Adrien-Marie Legendre, one of the referees.
It turns out that this conjecture encapsulates many other Diophantine problems,including Fermat's Last Theorem(which states that an+bn=cn has no integer solutions if ngt;2).
Somehow we got lucky and managed to save Fermat's Last Theorem from its isolation by linking it to some important branches of modern mathematics, especially the theory of modular forms.
I knew that moment that the course of mylife was changing because this meant that to prove Fermat's Last Theorem all I had to do was to prove the Taniyama- Shimura conjecture.
Why is Fermat's Last Theorem regarded as one of the great mathematical opuses of the last century while an equally complicated numerical calculation is regarded as mundane and uninteresting.
Mixing roots with the regular numbers failed as an attack on Fermat's Last Theorem, but as often happens in math, the way in which it failed was provocative.
The proof of Fermat's Last Theorem also proved much of the modularity theorem and opened up entire new approaches to numerous other problems and mathematically powerful modularity lifting techniques.
In 1963, when Wiles was a ten-year-old boy growing up in Cambridge, England,when he found a copy of a book on Fermat's Last Theorem in a library and was intrigued by the problem.
It was already known before Wiles's proof that Fermat's Last Theorem would be andree consequence of the modularity conjecture, combining it with another big theorem due to Ken Ribet and using key ideas from Gerhard Frey and Jean-Pierre Serre.
Attempts to prove it prompted substantial development in number theory,and over time Fermat's Last Theorem gained prominence as an unsolved problem in mathematics.
No gaps were found in the final manuscript of the proof that Wiles sent to the journal Annals in Mathematics,and it was published in 1995 under the title“Modular Elliptic Curves and Fermat's Last Theorem”.
Mathematicians in the 19th century understood this when they tried to crack Fermat's Last Theorem, which by then had been around for 200 years and was considered the biggest open problem in number theory.
The abc conjecture, proposed independently by David Masser and Joseph Oesterle in 1985,might not be as familiar to the wider world as Fermat's Last Theorem, but in some ways it is more significant.
I myself was very sceptical that the beautiful link between Fermat's Last Theorem and the Taniyama-Shimura conjecture would actually lead to anything, because I must confess I did not think that the Taniyama-Shimura conjecture was accessible to proof.