English has found some jokes and sentences for you: Visual Training

The squad were having “visual training”. One smart recruit was asked by the officer to count how many men composed a digging party in a distant field． The party was so faraway that the men appeared as mere dots, but unhesitatingly the recruit replied:

"Sixteen men and a sergeant, sir."

"Right; but how do you know there's a sergeant there? ”

“He's not doing any digging, sir. ”

Vision training

The class is doing "vision training". A smart recruit was called out by the squad leader to count the number of people in the mining team in the distant wilderness. The excavation team was far away, and the people looked like tiny dots. But the recruit answered without hesitation.

"Sixteen soldiers plus a sergeant, sir."

"Correct, but how do you know there is a sergeant there?"

"He No work, sir"

(English humor)

Two Birds

Teacher: Here are two birds, one is a swallow, the other is sparrow. . Now who can tell us which is which?

Student: I cannot point out but I know the answer.

Teacher: Please tell us.

Student : The swallow is beside the sparrow and the sparrow is beside the swallow.

Two birds

Teacher: There are two birds here, one is a sparrow. Can anyone point out which is a swallow and which is a sparrow?

Student: I can’t point out, but I know the answer.

Teacher: Please tell me.

Student: Next to a swallow is a sparrow, and next to a sparrow is a swallow.

"Can you tell me what fish net is made, Ann?"

"A lot of little holes tied together with strings." replied the little girl.

"Can you tell me what the fish net is made of, Ann?" the teacher asked.

"Tie many small holes together with ropes to make a fishing net." The little girl answered.

My parents performed "Mixed Doubles" last night

Teacher of Physical Education: Have you ever seen mixed doubles, boys?

Physical Education Teacher: Children, have you ever seen a mixed doubles match between boys and girls?

Nick: Yes, sir. Quite of ten. I saw it even last night.

Nick: Yes, teacher, I see you often. I saw it just last night!

Teacher: Please tell us some thing about it. Teacher: Then tell us about the situation at that time.

Nick: Oh, sorry, sir. My father always says, "Domestic shame should not be published."

Nick: Ah, sorry, teacher. My dad always said: “Don’t let the scandal of your family be publicized.

"(

1. We two who and who? Which of us is following the other?

2. How are you? How old are you? How are you? How come it’s always you?

3. you have seed I will give you some color to see, brothers!

You have seed, I will give you some color to see, brothers! Come on!

4. As far as you go to die!

Hello everybody! you have something to say, then say! if you have nothing to say, go home!!

If you have something to say, go home if nothing happens

6. p>

each other

7. You Give Me Stop!!

8. know is know noknow is noknow < /p>

Knowing is knowing, not knowing is not knowing...

9. WATCH SISTER

Cousin

10. dragon born dragon, chicken born chicken, mouse''son can make hole!! Dragon begets dragon, phoenix begets phoenix, mouse's son can make holes!

11.．I give you face you don't wanna face, you lose you face, I turn my face

You are shameless, you are embarrassed, I turn my face

12. one car comeone car go, two car pengpeng, people die

(Description of the car accident scene)

13. heart flower angry open

heart full of joy

14. go past no mistake past

walk past Don’t miss it if you pass by

15．Xiao Ming: I am sorry!

Foreigner: I am sorry too!

Xiao Ming: I am sorry three!

Foreigner: What are you sorry for?

Xiao Ming: I am sorry five!

16. If you want money, I have no; if you want life, I have one!

If you want money, I have no; if you want life, I have one!

17. I call Li old big. toyear 25.

My name is Li old big. I am 25 this year.

18. you have two down son

You have two down son.

19. Good good study, day day up!

20. People mountain people sea! Never say die. Never give up.

You are never too old to learn. Live until you are old and learn until you are old.

Love me love my dog. Love the house and the bird.

Easier said than done. Easier said than done.

Actions speak louder than words. Facts speak louder than words.

Nothing is impossible to a willing heart. Where there is a will, there is a way.

Every dog ??has his day. Everyone has his or her own glorious story. Every coin has two sides. Hope it's useful

So many, is that enough? Just add some pictures and these are enough. This is mathematics: the story of a mathematician - Su Buqing

Su Buqing was born in Zhejiang in September 1902. In a mountain village in Pingyang County, Shandong Province. Although his family was poor, his parents lived frugally and worked hard to support his education. When he was in junior high school, he was not interested in mathematics. He felt that mathematics was too simple and he could understand it as soon as he learned it. It can be estimated that a later mathematics class affected the path of his life.

That was when Su Buqing was in the third grade of junior high school. He was studying at No. 60 Middle School in Zhejiang Province and there came a teacher Yang who had just returned from studying in Tokyo and taught mathematics. In the first class, Teacher Yang did not teach mathematics, but told stories. He said: "In today's world, the weak eat the strong, and the world's great powers rely on their ships and cannons to carve up China. The danger of China's national subjugation and annihilation is imminent, so revitalize science, develop industry, and save the nation. This is the only way to survive. 'Every man is responsible for the rise and fall of the world.' , every student here has a responsibility." He quoted from many sources and talked about the huge role of mathematics in the development of modern science and technology. The last sentence of this class is: "In order to save the nation and survive, we must revitalize science. Mathematics is the pioneer of science. In order to develop science, we must learn mathematics well." Su Buqing heard many classes in his life, but this class made him unforgettable. .

Teacher Yang’s class deeply moved him and injected new stimulants into his mind. Reading is not only to get rid of personal difficulties, but to save the vast number of suffering people in China; reading is not only to find a way out for individuals, but to seek new life for the Chinese nation. That night, Su Buqing tossed and turned and couldn't sleep all night. Under the influence of Teacher Yang, Su Buqing's interest shifted from literature to mathematics, and from then on he established the motto of "Reading without forgetting to save the country, and saving the country without forgetting reading". Once he fell in love with mathematics, Su Buqing only knew how to read, think, solve problems, and calculate, no matter it was scorching summer or winter, frosty morning or snowy night. In 4 years, he calculated tens of thousands of mathematical problems. Now Wenzhou No. 1 Middle School (i.e. the Provincial No. 10 Middle School at that time) still treasures Su Buqing's geometry exercise book, written with a brush, and his workmanship is neat. When he graduated from middle school, Su Buqing scored above 90 points in all subjects.

At the age of 17, Su Buqing went to Japan to study and was admitted to the Tokyo Advanced Technical School with first place, where he studied eagerly. The belief of winning glory for the country drove Su Buqing to enter the field of mathematics research early. While completing his studies, he wrote more than 30 papers, achieved remarkable results in differential geometry, and received a doctorate in science in 1931. Before receiving his Ph.D., Su Buqing had been a lecturer in the Department of Mathematics at the Imperial University of Japan. Just when a Japanese university was preparing to hire him as an associate professor with a well-paid salary, Su Buqing decided to return to his country and teach in his ancestors who raised him. Su Buqing, who returned to Zhejiang University as a professor, lived a very difficult life. Faced with the dilemma, Su Buqing's answer was, "It doesn't matter if I endure hardship. I am willing to do so because I have chosen the right path. This is a patriotic and bright path!"

This is the mathematics of the older generation. The patriotic heart of a family

The epitaphs of mathematicians

Some mathematicians devoted themselves to mathematics during their lifetime, and after their death, on their tombstones, there are inscriptions representing their life achievements. sign.

After the ancient Greek scholar Archimedes died at the hands of the Roman enemy soldiers who attacked Sicily (before his death, he still prayed: "Don't break my circle."), people commemorated him The figure of a ball inscribed in a cylinder is engraved on his tombstone to commemorate his discovery that the volume and surface area of ??a ball are two-thirds of the volume and surface area of ??a cylinder circumscribed by it. After the German mathematician Gauss discovered the rule and compass method of the regular heptadagon, he gave up his original intention to study literature and devoted himself to mathematics, and even made many significant contributions in mathematics. He even suggested in his will that a tombstone with a regular heptagonal prism as its base should be built for him.

Rudolf, a German mathematician in the 16th century, spent his whole life calculating pi to 35 decimal places. Later generations called it Rudolf's number. After his death, others engraved this number on his On the tombstone.

The Swiss mathematician Jacques Bernoulli studied spirals (known as the thread of life) during his lifetime. After his death, a logarithmic spiral was engraved on his tombstone, and the inscription also read: "Although I Changed, but still the same.”

This is a pun that both depicts the nature of the spiral and symbolizes his love for mathematics

Zu Chongzhi (429-500 AD) was a native of Laiyuan County, Hebei Province during the Southern and Northern Dynasties of my country. He read many books on astronomy and mathematics since he was a child. He was diligent, studious and practiced hard, which finally made him an outstanding mathematician and astronomer in ancient my country.

Zu Chongzhi’s outstanding achievement in mathematics was the calculation of pi. Before the Qin and Han Dynasties, people used "three days per day" as the pi rate, which was the "ancient pi rate". Later, it was discovered that the error of the ancient rate was too large. The pi should be "one diameter of a circle and three days more than three days." However, there are different opinions on how much there is. It was not until the Three Kingdoms period that Liu Hui proposed a scientific method for calculating pi - "circle cutting", which uses the circumference of a regular polygon inscribed in a circle to approximate the circumference of a circle. Liu Hui calculated that the circle is inscribed in 96 polygons and obtained π=3.14. He also pointed out that the more sides the inscribed regular polygon has, the more accurate the π value obtained. Based on the achievements of his predecessors, Zu Chongzhi worked hard and calculated repeatedly, and found that π is between 3.1415926 and 3.1415927. And the approximate value of π in the form of a fraction is obtained, which is taken as the approximate ratio and taken as the density. Taking six decimal places is 3.141929, which is the fraction closest to the value of π within 1000 in the numerator and denominator. Exactly what method Zu Chongzhi used to arrive at this result cannot be investigated now. If he were to calculate according to Liu Hui's "circle cutting" method, he would have to calculate that the circle is inscribed with 16,384 polygons. How much time and tremendous labor this would take! This shows that his tenacious perseverance and intelligence in scholarship are admirable. It was more than a thousand years later that foreign mathematicians obtained the same density calculated by Zu Chongzhi. In order to commemorate Zu Chongzhi's outstanding contribution, some foreign mathematics historians suggested calling π= "Zu rate".

Zu Chongzhi read the famous classics of the time and insisted on seeking truth from facts. He compared and analyzed a large amount of data from personal measurements and calculations, and found serious errors in the past calendars. He had the courage to improve them, and successfully compiled them when he was thirty-three years old. The "Da Ming Calendar" opened up a new era in the history of calendars.

Zu Chongzhi also used an ingenious method to solve the calculation of the volume of a sphere together with his son Zu Xun (also a famous mathematician in my country). A principle they adopted at the time was: "Since the power potentials are the same, the products are indifferent." That is, two solids located between two parallel planes are intercepted by any plane parallel to the two planes. If the two If the areas of the cross sections are always equal, then the volumes of the two solids are equal. This principle is called Cavalieri's principle in Spanish, but it was discovered by Cavalieri more than a thousand years after Zu. In order to commemorate the great contribution of Zu and his son in discovering this principle, everyone also calls this principle "Zu Xun's Principle". These are famous quotes about mathematicians: Mathematics is the science of infinity. - Hermann Weyl

Some beautiful theorems in mathematics have the property that they are easily deduced from facts, but the proof But it is extremely hidden. Mathematics is the king of science. ——Gauss

In the field of mathematics, the art of asking questions is more important than the art of solving problems. ——Kang Muer

As long as a branch of science can raise a large number of questions, it is full of vitality, while the lack of questions indicates the termination or decline of independent development.

——Hilbert

——Pythagoras

A science can only exist when it Only when mathematics is successfully used can true perfection be achieved.

——Marx

The scientific level of a country can be measured by the mathematics it consumes.

——Rao

Koshi

(Augustin Lo

uis Cauchy 1789-1857)

It would be a serious mistake to think that necessity exists only in geometric proofs or in the evidence of sense. Give me five coefficients and I will draw an elephant; give me a sixth coefficient and the elephant will wag its tail. One must be convinced that science has made great progress if he is adding many new terms to it and allowing readers to proceed to study the wonderful and indescribable things that lie before them.

Chen Shengshen

Mathematics is a deductive science, in which conclusions are obtained through logical reasoning from a set of postulates.

Science requires experiments. But experiments cannot be absolutely accurate. If there is a mathematical theory, it all depends on inference, which is completely correct. This science cannot be separated from mathematics. Many basic concepts of science often require mathematical concepts to represent them. Therefore, it is natural that mathematicians can make a living but cannot win Nobel Prizes.

There are no Nobel Prizes in mathematics, which is probably a good thing. The Nobel Prize is too high-profile and distracts mathematicians from focusing on their own research.

We appreciate mathematics, we need mathematics.

The purpose of a mathematician is to understand mathematics. Historically, mathematics has progressed in two ways: increasing understanding of known materials, and extending the scope.

Descartes

(Rene Descartes 1596-1650)

I think, therefore I am.

I am determined to abandon geometry as a mere abstraction. That is to say, stop thinking about problems that are just for thinking.

I did this in order to study a different kind of geometry, one whose purpose was to explain natural phenomena.

Mathematics is the most powerful knowledge tool left behind by human knowledge activities, and it is the root of some phenomena. Mathematics is immutable and exists objectively. God will build the universe based on mathematical laws.

Euler

(Leonhard Euler 1707-1783)

Although we are not allowed to see through the secrets of the nature of nature and thus understand the true causes of phenomena, it is still possible This happens

Situation: certain fictional hypotheses are enough to explain many phenomena.

Because the structure of the universe is the creation of God, the most perfect and wise, therefore, if there is not some extremely

or extremely small law in the universe, then Nothing will happen at all

Zu Chongzhi

(429-500)

The numbers in late sequence are not miraculous, they are tangible and can be detected, and there are numbers that can be deduced .

Liu Hui

Things are similar to each other, and each has its own purpose. Therefore, although the branches are divided, they have the same origin and origin, and they only originate from one end. The principles are analyzed in words and disintegrated using diagrams.

The common people can also make reservations and be able to make a thorough understanding.

Laplace

(Pierre Simon Laplace 1749-1827)

This is the benefit of a well-structured language, its simplified notation is often profound source of theory.

In the science of mathematics, our main tools for discovering truth are induction and analogy.

Read Euler, read Euler, he is the teacher of all of us.

Only when mathematics flourishes in a country can its national strength be demonstrated.

Knowing the research methods of a giant is no less useful to the progress of science than the discovery itself. The methods of scientific research are often of great interest.

Leibniz

(Gottfried Wilhelm von Leibniz 1646-1716)

Imaginary numbers are a wonderful sustenance of human beings. They seem to exist and not exist. an amphibian.

Things that don’t work don’t exist.

After considering those few things, the whole thing comes down to pure geometry, which is an aim of physics and mechanics

Sylvester

(James Joseph Sylvester 1814-1897)

Geometry sometimes seems to be ahead of analysis, but in fact, geometry precedes analysis, just like a servant walking before the Lord

It is the same as the front of a person, it is to open the way for the master.

Perhaps I may not unduly claim the title of Mathematical Adam, since I believe that the creation of mathematical reason is named by me (already in general use) more than by any other of my contemporaries. Mathematicians put together even more.

Weierstrass

(Karl Weierstrass 1815-1897)

A mathematician without some talent as a poet will never become a complete mathematician. Numbers rule the universe. ——Pythagoras

Mathematics, the queen of science; number theory, the queen of mathematics. ——C.F. Gauss

God created the integers, and all other numbers are man-made. - L. Kronecker

God is an arithmetician - Jacobi

A mathematician who is not somewhat poetic can never become a complete mathematician. ——Weierstrass

The science of pure mathematics, in its modern stage of development, can be said to be the most original creation of the human spirit. ——Whitehead

Countability rules the entire world of quantity, and the four arithmetic operations can be regarded as all the equipment of a mathematician. ——Maxwell

Number theory is the oldest branch of human knowledge, yet some of its most profound secrets are closely connected with its most ordinary truths. ——Smith

Infinite! No other question has touched the human heart so deeply. ——D. Hilbert

Every new group discovered is mathematical in form because we can have no other guidance. ——C.G. Darwin

The great architecture of the universe is now beginning to appear in the face of pure mathematicians. ——J.H. Kings

It is a reliable rule that when the author of a mathematical or philosophical work writes in vague and esoteric terms, he is talking nonsense. ——A.N. Whitehead

Give me five coefficients and I will draw an elephant; give me six coefficients and the elephant will wag its tail. ——A.L. Cauchy

Pure mathematics is the magician’s true magic wand. ——Novales

If anyone does not know that the diagonals of a square and the same sides are incommensurable quantities, then he does not deserve the title of human being. ——Plato

The simple composition of whole numbers has been the source of new life for mathematics for centuries. ——G.D. Birkhoff

The more detached a mathematician is, the better. ——Anonymous

The incomparable permanence and omnipotence of mathematics and its independence from time and cultural background are direct consequences of its nature. ——A? Ebo

It is a reliable rule that when the author of a mathematical or philosophical work writes in vague and esoteric terms, he is talking nonsense. ―A.N. Whitehead

I have heard people say that I am an opponent of mathematics and an enemy of mathematics, but no one respects mathematics more than I do, because it has accomplished achievements that I have never achieved. . ——Goethe

The essence of mathematics lies in its freedom. ― Cantor

In the field of mathematics, the art of asking questions is more important than the art of answering them. ― Cantor

No question can touch people's emotions as deeply as infinity. Few other concepts can stimulate the intellect to produce fruitful thoughts like infinity. However, there is no other The concept of can be as demanding of elucidation as infinity.

―Hilbert

Numbers rule the universe. ——Pythagoras

Mathematics, the queen of science; arithmetic, the queen of mathematics. ――Gauss

Mathematics is an infinite science. ——Herman Weyl

Problems are the heart of mathematics. ——P.R. Halmos

As long as a branch of science can raise a large number of questions, it is full of vitality, while the lack of questions heralds the termination or decline of independent development. ―Hilbert

Some beautiful theorems in mathematics have this characteristic: they are easily summarized from the facts, but the proofs are extremely hidden. ―Gauss

Mathematicians are like lovers...give a mathematician the minimum principles, and he will draw a conclusion that you must agree with, and from this conclusion he will draw another conclusion. ― Fontanelli

Arithmetic (Arithmetic) is the oldest, perhaps the most ancient, branch of human knowledge; yet some of its most profound secrets are closely connected with its most prosaic truths. ―H.J.S. Smith

As strange as it may sound, the power of mathematics lies in its avoidance of all unnecessary thinking and its astonishing savings in mental effort. ― Ernst Mach

But there is another reason for mathematics’s great reputation: it is mathematics that gives the various precise natural sciences a degree of reliability that they would not have achieved without mathematics. sex. ―Albert Einstein

Mathematics is a tool particularly suited to dealing with abstract concepts of any kind, and its power in this field has no limits. For this reason, a book about emerging physics, as long as it is not a purely experimental description, is essentially a mathematical book. ―P.A.M. Dirac

To create a healthy philosophy, you should abandon metaphysics, but become a good mathematician.

——Bertrand Russell

Every new group discovered is mathematical in form because we can have no other guidance. ——C.G. Darwin

God is a geometer.

―Plato

God is an arithmetician. ——C.G.J. Jacobi

Mathematics is the most precise science, and all its conclusions can be absolutely proven. But that's the case only because mathematics doesn't try to draw absolute conclusions. All mathematical truths are relative and conditional.

——Charles Protoeus Steinmetz

Mathematics is a tool of knowledge and the source of other knowledge tools. All sciences that deal with order and measurement are related to mathematics. ――Descartes