Euler formula is the most perfect of the top ten formulas in the world.

The British scientific magazine Physical World once asked readers to vote? Top ten recipes in the world? Finally, the ten famous formulas on the list include the well-known 1+ 1=2 and the famous E = mc2. There are both simple circle formulas and complex Euler formulas, which are called the most perfect formulas in the world. Let's follow me to solve its mystery.

Ten greatest formulas in the world: Euler formula, Maxwell equations, Newton's second law, Pythagorean theorem, Schrodinger equation, mass-energy equation, De Broglie equation, 1+ 1=2, Fourier transform, pi formula.

1. The most perfect formula in the world Euler is the most prolific mathematician in history, and also a scholar who has written the most books in various fields (including mathematics and mechanics, optics, acoustics, water conservancy, astronomy, chemistry, medicine and so on). In the history of mathematics, the eighteenth century was called? Euler era? . Born in Switzerland, Euler was blind in his right eye at the age of 3/kloc-0 and at the age of 59, but he was optimistic, with amazing memory and concentration. He was humble all his life and seldom named what he found with his own name. But it is still called one of the most important constants. e .

The cleverness of this formula is that it has no redundant content, and it takes the most basic e, I and? Put them in the same formula, add the most important 0 and 1 in mathematics and philosophy, and then connect them with a simple plus sign. Gauss once said:? A person who sees this formula for the first time and doesn't feel its charm can't become a mathematician. ? Although I'm not sure she's the only one in the world? The great formula ",but it is undoubtedly one of that most perfect mathematical formulas.

The reason for this is the following：

1, natural number? e？ Contained in it. The base of natural logarithm is as big as the speed of a spaceship and as small as the spiral of a snail. Who can leave it?

2. What is the most important constant? Contained in it. The most perfect plane symmetrical figure in the world is a circle. ? The greatest formula? Can you leave pi? What else? And e are the two most important irrational numbers! )

3. It contains the most important operation symbol+. The plus sign is the most important symbol because all other symbols are derived from the plus sign. Negative sign is the inverse of addition, and multiplication is accumulation?

4. The most important relational symbol = included in it. I believe that you have just learned arithmetic, and you will agree with this sentence in this situation.

The most important two dollars are in it. Zero element 0, unit 1, is the basic element of constructing groups, rings and domains. If you read a book about modern algebra, you will realize its importance.

6. The most important imaginary unit I is also among them. The imaginary unit I extends the problem on the number axis to the plane, which cannot be retained in hamill's 4 yuan number and Gloria's 8 yuan number. She is beautiful because of the simplification of this formula. She has no redundant characters, but she is related to almost all mathematical knowledge. With the plus sign, you can get the rest of the operation symbols; With 0, 1, you can get other numbers; Have a drink. There is a circular function, which is a trigonometric function; With I, there is an imaginary number, and the plane vector corresponds to it, so there is hamill's 4 yuan number, and the real space corresponds to it; With e, there is calculus, and there is mathematics suitable for the industrial revolution.

Used for triangles: let r be the radius of the circumscribed circle of the triangle, r be the radius of the inscribed circle, and d be the distance from the outer center to the inner center, then: d 2 = r 2-2rr.

Used in topology: v+f-e=x(p), v is the number of vertices of polyhedron p, f is the number of faces of polyhedron p, e is the number of edges of polyhedron p, and x(p) is the Euler characteristic of polyhedron p If p can be homeomorphic on a sphere (which can be understood as expansion and stretching on a sphere), then x (p) = 2; If p is homeomorphic on a sphere with h ring handles, then x(p)=2-2h. X(p), called Euler characteristic of P, is a topological invariant, that is, a quantity that will not change no matter how topological deformation is carried out, which is the scope of topological research.

Application in polyhedron: there is a relationship between the number of vertices v, the number of faces f and the number of edges e of a simple polyhedron. The formula v+f-e=2 is called Euler formula. This formula describes the unique laws of the number of vertices, faces and edges of a simple polyhedron.

Used in elementary number theory: Euler? Function:? (n) is the number of integers that are coprime with n among all positive integers less than n, and n is a positive integer. Euler proved the following formula: If the factorization of the standard prime factor of n is P 1 A 1 * P2 A2 *? * pm am, where pj(j= 1, 2,? M) are all prime numbers and are not equal to each other. Really? (n)= n( 1- 1/p 1)( 1- 1/p2)？ (1- 1/pm) can be proved by the principle of incompatibility. In addition, many famous theorems are named after Euler.

Top Ten Formula Milk Powder in the World

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