# One of the 10 Greatest formulas in the world is well known

2020-11-10 09:00:02 British scientific journal 《 The physical world 》 Let readers vote for “ The greatest formula ”, In the end, there are ten formulas on the list that no one knows 1+1=2, There are also famous E=mc2; There is a simple formula for circumference , And there's a complicated Euler formula …… When did we start to hate math ？ These things are so beautiful , So subtle . How many great minds on this earth have consumed their lives , And finally wrote an equal sign . Whenever you can't solve an equation , Think of it from another angle , Let's put aside for a moment the aversion to science and the hate for exams . Because you are witnessing , It's the beauty of science and human dignity .

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The formula for the circumference of a circle （The Length of the Circumference of a Circle） at present , Humans have been able to get pi 2061 Billion bit accuracy . It's boring . The value of PI used in modern science and technology , More than a dozen are enough . If you use 35 The pI value of bit accuracy , To calculate the circumference of a circle that wraps up the solar system , The error is less than one millionth of the diameter of the proton . Now people calculate pi , Most of them are to verify the computing power of computers , And it's for interest .

Fourier transformation （The Fourier Transform） This is very professional , Ordinary people don't understand . No more explanation . In short, there is no such formula. There is no computer today , So you can access the Internet here, in addition to thanking the party and the government, but also thanks to this completely incomprehensible formula . Besides, although Fourier's surname is fu , But the French .

De Broglie equations （The de Broglie Relations） This thing is also very powerful , From high school physics to optics, many concepts are distant relatives of it . In short, de Broglie felt that an electron was more than a particle , It's also a wave , It has “ wavelength ”. So the study of this matter wave equation came into being , It expresses the wavelength 、 The relationship between energy and so on . At the same time, he got 1929 Nobel Prize in physics .

1+1=2

This formula doesn't need a name , There is no need to translate , There is no need to explain .

Schrodinger equation （The Schrödinger Equation） What most people don't understand at all . So I excerpt from the official review ：“ Schrodinger equation is the most widely used atomic physics literature in the world 、 The most influential formula .” Because of his outstanding contribution to quantum mechanics , Schrodinger got 1933 The Nobel Prize in physics .

Mass energy equation （Mass–energy Equivalence） It seems that there has never been a formula in the scientific community that has such a broad meaning . In Physics “ The year of wonder ”1905 year , By a young man named Einstein . In the same year, he also published 《 On electrodynamics of moving bodies 》—— It is commonly known as special relativity .

Pythagorean theorem （Pythagorean Theorem） You can't do math without using it , Not much .

Newton's second law （Newton's Second Law of Motion） stay 《 The mathematical principles of natural philosophy 》 One of them is considered to be one of the greatest core laws in classical physics . All the basic equations of dynamics can be derived from it by calculus . For people who have studied high school physics , There's nothing much to talk about .

Euler formula （Euler's Identity） Euler is the most prolific mathematician in history , It's also in various fields （ Contains all branches of mathematics and Mechanics 、 optics 、 Acoustics 、 Water conservancy 、 astronomical 、 chemical 、 Medicine etc. ） The most prolific scholar . In the history of mathematics, the eighteenth century is called “ The era of Euler ”. Euler was born in Switzerland ,31 I lost sight in my right eye ,59 I'm blind in both eyes , But he has an optimistic personality , With amazing memory and concentration . He was modest all his life , Rarely use his own name to name what he finds . But it's named one of the most important constants ——e. About e, There used to be a joke that ： In a mental hospital , There's a patient who talks to people all day ,“ I differential you 、 I differential you .” I don't know why , These patients all have a little bit of a simple calculus concept , I always think that one day I will be like a general polynomial function , Be differentiated to zero and disappear , So he was shunned , One day, however, he met a man who was not affected by it , He was surprised , And the man said to him lightly ,“ I am a e Of x Power .” The cleverness of this formula lies in , It doesn't have any extra content , The most basic of Mathematics e、i、π In the same equation , At the same time, mathematics is also the most important part of philosophy 0 and 1, Then connect it with a simple plus sign . Gauss once said ：“ One sees this formula for the first time without feeling its charm , He can't be a mathematician .”

Maxwell's equations （The Maxwell's Equations） This set of formulas combines the Gauss law of electricity 、 Gauss law of magnetism 、 Faraday's law and Ampere's law . The more modest evaluation is ：“ In a general way , Any electromagnetic phenomenon in the universe , All of them can be explained by this system of equations .” And then Maxwell did his calculations with pen and paper , From this set of formulas, the existence of electromagnetic waves is predicted . We don't always like to make up stories , For example, when Einstein was a child, he started to study hard because of some stimulation 、 The way to serve the motherland ？ in fact , This stimulus is the equation set you see . And it's because this system of equations perfectly unifies the whole electromagnetic field , Let Einstein always want to unify the gravitational field in the same way , And put the macro and micro forces in the same set of equations ： The famous “ The theory of unification ”.

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edit  ∑Gemini

source ： Mathematics and artificial intelligence （ID:Math-AI）

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