Divide a line segment into two parts so that the ratio of one part to the total length is equal to the ratio of the other part to this part. The ratio is [5 (1/2)- 1]/2, and the approximation of the first three digits is 0.6 18. Because the shape designed according to this ratio is very beautiful, it is called golden section, also called Chinese-foreign ratio. This is a very interesting number. We use 0.6 18 to approximate it, and we can find it by simple calculation:

1/0.6 18= 1.6 18

( 1-0.6 18)/0.6 18=0.6 18

This kind of value is not only reflected in painting, sculpture, music, architecture and other artistic fields, but also plays an important role in management and engineering design.

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Nobel Prize in Mathematics

Fields medal

wolf prize in mathematics

Norway will set up the Abel Prize in Mathematics.

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Interesting knowledge of mathematics

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The golden section was first seen in ancient Greece and Egypt. Golden section is also called golden ratio, Chinese-foreign ratio, that is, dividing a line segment into two different lengths, A and B, so that the ratio of long line segment (a+b) is equal to that of short line segment B and long line segment A, and the formula is A: (A+B) = B: A, and the ratio is 0.6 180339 .. This ratio is more pleasing to the eye in modeling, therefore. The golden section rectangle itself consists of a square and a golden section rectangle. You can divide these two basic shapes infinitely. Because its own proportion can stimulate people's vision moderately, and its length proportion just conforms to people's visual habits, it makes people feel pleasing to the eye. The golden section is widely used in architecture, design and painting. In the development of photography technology, the essence of other art categories has been borrowed and integrated to varying degrees, and the golden section has therefore become the most sacred concept in photographic composition. The simplest method used in photography is to arrange 2, 3, 5, 8, 13, 2 1 according to the golden ratio of 0.6 18, so that we can get 2: 3, 3: 5, 5: 8, 8: 13. These ratios are mainly applicable to the determination of the aspect ratio of the picture (for example, the film width of 135 camera is 24mmX36mm, which is derived from the golden ratio), the selection of horizon position, the distribution of light and shadow tones, the division of picture space and the establishment of the visual center of the picture.

Goldbach is a German middle school teacher and a famous mathematician. He was born in 1690, and was elected as an academician of Russian Academy of Sciences in 1725. 1742, Goldbach found in teaching that every even number not less than 6 is the sum of two prime numbers (numbers that can only be divisible by themselves). For example, 6 = 3+3, 12 = 5+7 and so on. 1742 on June 7, Goldbach wrote to the great mathematician Euler at that time, and put forward the following conjecture:

(a) Any > even number =6 can be expressed as the sum of two odd prime numbers.

(b) Any odd number > 9 can be expressed as the sum of three odd prime numbers.

This is the famous Goldbach conjecture. In his reply to him on June 30th, Euler said that he thought this conjecture was correct, but he could not prove it. Describing such a simple problem, even a top mathematician like Euler can't prove it. This conjecture has attracted the attention of many mathematicians. Since Goldbach put forward this conjecture, many mathematicians have been trying to conquer it, but they have not succeeded. Of course, some people have done some specific verification work, such as: 6 = 3+3, 8 = 3+5, 10 = 5+5 = 3+7, 12 = 5+7,14 = 7+7 = 3+/kloc. Someone checked the even numbers within 33× 108 and above 6 one by one, and Goldbach conjecture (a) was established. But strict mathematical proof requires the efforts of mathematicians.

Since then, this famous mathematical problem has attracted the attention of thousands of mathematicians all over the world. 200 years have passed and no one has proved it. Goldbach conjecture has therefore become an unattainable "pearl" in the crown of mathematics. People's enthusiasm for Goldbach conjecture lasted for more than 200 years. Many mathematicians in the world try their best, but they still can't figure it out.