Galois, Galois

Primer

Many years ago, select the old generation can not forgive. Look at, in fact, there is a real taste.

Suanlaisuanqu

You say you have more money than me, we will go to the math. Do you have stocks, I do not, your salary is higher than me, I think. . . ; However, my wife than you and your wife together have money, ha ha. You are able to find such a wife Xie, really Sanshengyouxing, ten life's blessings.

Today, thank a teacher gave me all kinds of good and bad science, it is nothing more than an interesting Galois duel for love, eventually die as good as others. She said a man fighting for self-esteem, nothing to do with love. It seems to be like this? Confused. Then pull Galois mad.

After all, solving equations or factoring. The factorization of things to figure out the problem equation it clear, this is her exact words, I could never forget her exact words to say, but did not dare change a word. Fool me, where ever know she was talking about what it meant, only mad nod, then finally added: You can speak better understand some of it?

What equation do, after all, is to calculate, no, operation. Operation, do not understand, like addition, subtraction, ha. People are prescribed. We simply point, only consider the equation on the rational numbers.

There was such a problem, when this equation can be used to express the radical solution of it all? Why do you ask such a problem? She did not say, I do not dare to ask. Just know that when there is no radical solution, consider using expression beyond.

In the field inside the talking, OK

On one occasion, my wife asked me who the most handsome man in the world. I say that Jay could there be? His wife a slap send over, hit in the thigh, Galois, Galois. That, the world's most beautiful woman? I was smart this time, Galois said that the pursuit of the woman. This time, slap slap in the face, thrown a red.

Why is Galois it? Because he will speak at the field inside. In the domain of water, there is life. In the domain of fire, there is passion. In the domain of earth where there are things in the world. In the field of light, the see forever after a thousand years.

I asked Xie, Shajiao can use radical expression? Xie said that you first find out Shajiao field it, the big foolish! Uh, domain, it is not that the four operations, I learned a little fur in your subtle. Really stupid husband can teach, then we continued chanting radical. A radical, a domain is added to a square root:
$F_i \subseteq F_{i+1}, F_{i+1}=F_{i}[\alpha_i],\alpha_i^{r_i}\in F_i.$
Do not know why, when she wrote this line, I suddenly become clear, excitedly exclaimed: that can express radical and a series of four operations is not a domain it!
$F_1\subseteq F_{2}\subseteq F_{3}\subseteq \cdots \subseteq F_{m-1}\subseteq F_m$

Er er, well, radical EQUATION not find this becomes a series of fields, so the first one is our rational, so that all of the last root contains. However, the ghosts know when to find such a long list, oh. Galois, Galois.

Symmetrical leap

How to find, where to find? Dark hopeless. Everything is not normal, we should return to normal in the world. This is the belief thank a teacher. Even Galois is no exception. From the start chanting a quadratic equation.