Farm Theorem

You all probably heard the phrase « Farm Theorem ». Farm theorem, the Farm Ce theorem, some even believe that it was Perelman that proved it. This is not so, he proved the Poincare hypothesis, the thing is much more complicated and interesting. I’ll tell you about her as soon as I understand her.

Revenons a nos moutons. In the seventeenth century, Pierre Farm lived in Paris.

Mathematics for him was only a hobby, he worked as a judge. Coming home, he liked to look for solutions to complex theorems, to invent tasks in order to more complicated or simply read mathematical books. One of these books was “Arithmetic” beyond the authorship of Diophanta of Alexandria.

A treatise in thirteen volumes dedicated to the general methods for solving equations. The book was full of examples, questions and unproven theorems. And the farm, meeting them in the text, always tried to solve them. Since he possessed a strong mind, he often succeeded, but it was boring to work just like that, and therefore he left on the fields near the margins of “I know how to decide, but I need to feed the cat” or “I know how to solve it, but I have to take out the garbage”. And now he reaches the famous Pythagorean theorem.

It is very simple, and it is easy https://sistersitescasino.co.uk/casinos/jeffbet-casino/ and pleasant to substitute numbers there. The farm raises degree on variables.

It becomes more difficult, in the mind you can’t get it so simply. The farm raises the degree. It becomes unclear whether there are such numbers in general? He writes his famous theorem on the fields.

The wording is simple: there are no such natural (whole, non -negative) numbers X, Y, Z and N, which would satisfy this condition. It is not known whether the farm proved this theorem. But it is known that, having thought about it, he writes nearby “I proved this truly amazing fact, but the fields of this book are too narrow for evidence”.

And then he throws the skates.

Thirty years later, his son publishes a reissue of “arithmetic”, where all the notes of the Sr. Farm are included in the text.

And mathematicians of the whole world begin, one after another, to prove the theorems that the farm, according to his notes, have already proved. Year after year, a decade after a decade, one after another, theorems fall defeated. But not our today’s hero. This equation is not just not given to mathematicians, it answers, becoming more difficult with every step, creating new problems on the path to evidence.

This lasts centuries until the very twentieth century. Somewhere in the sixties, in Cambridge, ten-year-old Andrew Wiles finds in the library the book « Last Equation » Eric Temla Bell. The book was entirely dedicated to the theorem of the farm, and Little Andrew, inspiring, decides that it was he who should decide it. Of course, nothing comes out for him. But he doesn’t give up. He enters Cambridge, receives a diploma, and then a doctoral degree in mathematics. The Farm theorem has long been forgotten, and Wiles works as a professor of mathematics in his alma matster.

And here are two Japanese, Shimura and Toniam, formulate a hypothesis, attention, shimura-Toniam. A monstrous thing, presumably, only its authors understood the essence to the end. But at some point in time it was discovered that the farm theorem is deeply sewn into a hypothesis, and if someone can prove it, then it will receive evidence of the theorem completely free, in the appendage. And Wiles takes the job again, after more than thirty years. He devotes all his free time to the evidence of the hypothesis, but only because it will give him evidence of the theorem of the farm, his childhood dream. Andrew Wiles begins to skip staff meetings, disappear at work. The proof eats all his time.

And so, after seven years of work, in 1993, the proof is ready. The mathematician gives a series of three lectures, explaining evidence. There is nowhere to fall in the lecture hall, the whole world triumphs, Wiles travels around the light, giving lectures, he is now Sir Andrew Wiles, a laureate of the Shao Prize.

But the theorem does not give up so simply. During the audit, it turns out that Wiles made an error. He takes several of his most capable students and tries to correct evidence. And now, after a year of hard work, the error is fixed. The proof is completely correct, the theorem is proved.