To understand life is to understand yourself. If you want to understand life, you must first understand yourself.

Some people regard themselves as the protagonist of life, and they feel their divine existence and work hard to perform; some people regard themselves as the supporting role of life, always thinking that they are insignificant, but they don’t know that without themselves, the story will be monotonous. Boring; some people regard themselves as the audience of life, traveling in other people's stories without knowing how to tap their own energy; but the strong will regard themselves as the director of life, and the situation of life is controlled by themselves, and the plot of the story is arranged by themselves. , interpreting a brilliant life.

Not every night is full of moonlight, not every dream can come true, and not every moment can be in a good mood. In life, you can touch all the colors and taste all the five foods. Life is a profound art, and understanding life is the best interpretation of life.

After a setback, the meaning of success will be fully understood; once a mistake will be made, the awakening to life will be increased; once misfortune, the understanding of the world will be matured; once suffering, the understanding of life will be improved. Make it darker. To understand life, we must understand failure, misfortune, setbacks and pain.

Life is like a river, rushing forward, never stopping; life is a poem, full of joys and sorrows, but it cannot shake away the sadness; life is like a pool of clear water, with a few stones occasionally. It can also arouse layers of fluctuations; life is a blank piece of paper, and what is needed is self-struggle to add color to it. Life is a long but short road. When you look into the future, there is still a bright future. When you look back at the past, you find that time is rushing. Life is like a story, what matters is not how long it is, but how exciting it is. Therefore, when people are alive, they should treat their limited life well, learn to beautify it, appreciate it, and make their limited life full of sunshine and joy to the greatest extent. "Chinese scientist Wang Juzhen has a motto when it comes to experimental failure, which is: "If you keep doing it, there is a 50% chance of success, but if you don't do it, it will be a 100% failure." "

--- Wang Juzhen

"A person is like a fraction, his actual talent is like the numerator, and his valuation of himself is like the denominator. The larger the denominator, the smaller the value of the fraction. "----Tolstoy

"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, and few can touch people's emotions as deeply as infinity. No other idea stimulates the intellect to such fruitful thoughts as infinity, but no other concept demands so much elucidation as infinity."----Hilbert

" Mathematics is an infinite science" ---- Hermann Weyl

"Problems are the heart of mathematics" ---- P.R. Halmos

"As long as a branch of science can ask A large number of problems make it full of vitality, while the lack of problems heralds the termination or decline of independent development." ----Hilbert

"Some beautiful theorems in mathematics have such characteristics: they are extremely It is easy to summarize from the facts, but the proof is extremely hidden."----Gauss

"Time is a constant, but for those who are diligent, it is a 'variable'. People who measure time in minutes have 59 times more time than those who measure time in hours. ” ---- Rybakov

“We must dare to make subtractions in learning, that is, subtracting the parts that have been solved by predecessors to see which problems are still unresolved and need us to explore and solve them. "----Hua Luogeng

"Genius = 1% inspiration + 99% blood and sweat. "----Edison

"Use your time and think about what you did during the day, whether it is a 'plus' or a 'minus'. If it is '+', it means progress; if it is '-', you have to learn lessons and take measures. " --- Dimitrov

"When Einstein, the greatest scientist in modern times, was talking about the secret of success, he wrote down a formula: A=x+y+z. And explained: A represents success, x represents hard work, y represents the correct method, and Z represents less empty words.

” ——Einstein

“Mathematics is an infinite science.” ——Hermann Weyl

“Some beautiful theorems in mathematics have such characteristics : They are easily summarized from facts, but the proofs are extremely hidden. Mathematics is the king of science." --- Gauss

"In the field of mathematics, the art of asking questions is more important than solving them. The art of asking questions is more important." ----Kampohl

"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 end of independent development or the end of independent development. Decline."

--- Hilbert

"In the world of mathematics, what matters is not what we know, but how we know it." --- ——Pythagoras

“A science can only achieve true perfection when it successfully uses mathematics.” ——Marx

“A country The level of science can be measured by the mathematics it consumes." --- Rao

"Mathematics is the unshakable cornerstone of science and a rich source of advancement for human undertakings. ” ---- Barrow

“The God who rules on Mount Olympus is the eternal number. " ---- Jacobi

"Without the eternal imitation of the universe created by numbers, human beings will not be able to continue to survive. "----Nietzsche

"Those who do not understand geometry are not allowed to enter. "----Plato

"There is no king of geometry! " ---- Euclid

"A mathematician is actually a fascination. Without fascination, there would be no mathematics. " ---- Novalis

"Without bold guesses, great discoveries cannot be made. "---- Newton

"Numbers rule the universe. "----Pythagoras

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

"God created integers, and all other numbers are man-made. "----Kronek

"God is an arithmetician"----Jacobi

"A mathematician without some poetic spirit will never become a mathematician. Complete mathematician. "——Weierstrass

"Pure mathematics, a science in its modern stage of development, can be said to be the most original creation of the human spirit. "---Huaidehai

" 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. "——Hilbert

"The discovery of every new group is mathematical in form, because we can have no other guidance. "---Darwin

"The great architecture of the universe now begins to appear in the face of pure mathematicians. "---Jings

"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. Huaidehai

"Give me five coefficients and I will draw an elephant; give me six coefficients and the elephant will shake its tail. "————Cauchy

"Pure mathematics is the magician's real 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. "---Berkhoff

"The incomparable permanence and omnipotence of mathematics and its independence of time and cultural background are direct consequences of its essence. "---A? Ebo

"Life is only for two things, developing mathematics and teaching mathematics"---Pulson

"Use all the power of the mind, to choose the path we should follow. "---Descartes

"I don't know what people in the world will think of me; however, I think to myself, I am just like a child playing on the beach, picking up a smoother piece after a while. From the pebbles, I suddenly found a beautiful shell; but in front of me, the ocean of truth has not yet been discovered at all. "----Newton

"The reason why I can see farther than Descartes is because I stand on the shoulders of giants. " --- Newton

"No traveler can go far without personally examining the soundness of every part of the bridge. Even in mathematics some things are risky.

”

——Horace Lamb

“Go forward, and forward will give you faith. "——-D'Alembert

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

"If I inherit a considerable fortune, I may not have much value mathematically. ”——Lagrange

“I regard mathematics as an interesting job, rather than trying to build some monument to myself. It's safe to say that I enjoy other people's work more than my own. I am always dissatisfied with my work. "---Lagrange

"It seems to be an axiom of character that a person's contribution is strictly inversely proportional to his pride. "----Lagrange

"For the sake of God, never give up your work! This is your best medicine. "---D'Alembert

"My success depends on only two things. One is to persevere unswervingly to the end; the other is to use hands to accurately create the graphics in the mind. "

--- Monge

"The greatest benefit of astronomical science is to eliminate the errors caused by ignoring our true relationship with nature. Because social order must be based on such relationships, such mistakes are all the more disastrous. Truth and justice are the eternal foundations of social order. Would that we should be freed from the dangerous maxim that it is sometimes more useful to deceive and enslave than to secure their happiness! Historical experience from all ages proves that whoever breaks these sacred laws will be punished. "

--- Laplace

"Sometimes, you fail to get the simplest and most beautiful proof at the beginning, but it is this kind of proof that can deepen your understanding. to the wonderful connections of higher arithmetic truths. This is what motivates us to continue research and what best enables us to make discoveries. "----Gauss

"If someone else thinks about the truth of mathematics as deeply and persistently as I do, he will also find my discovery. "——Gauss

"People die, but the cause will last forever. " --- Cauchy

"Exquisite arguments are often not achieved overnight, but are the accumulated results of people's long-term discussions." I also learned it slowly, and I have to continue to learn. "----Abel

"After all, it is the work of a master, extraordinary! "--- Galois

"Exceptionally abstract issues must be discussed extremely clearly. ” - Descartes

“I think, therefore I am.” "----Descartes

"I am determined to give up that mere abstract geometry. 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. "----Descartes

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

“Learn directly from the masters rather than from their students. "----Abel

"Choose a definite research object and persevere. You may never reach the end, but you're bound to discover some interesting things along the way. "---Klein

"I never regard my works as a personal matter, nor do I pursue fame or praise. I am simply doing my best for the advancement of truth. Whether it's me or someone else, it doesn't matter to me. What matters is that it's closer to the truth. "——Weierstrass

"The movement form of thinking is usually like this: conscious research - subconscious activities - conscious research. "——Poincaré

"Life is a continuous struggle. If we occasionally enjoy tranquility, it is because our ancestors fought tenaciously. If our spirit, our vigilance were to let down for a moment, we would lose what our forefathers had won for us. " --- Poincaré

"If we want to foresee the future of mathematics, the appropriate way is to study the history and current situation of this subject. "——Poincaré

"We must know, we will know. "---Hilbert

"Throw them into ice water and let them learn to swim on their own, or they will drown.

Many students do not try to work on their own until they have mastered everything that others have done that is relevant to their problem. As a result, very few develop the habit of independent work. "——E.T. Bell

"If a person has done outstanding mathematical work and wants to attract the attention of the mathematical community, it is really easy, no matter how humble and unknown this person is. , he only has to do one thing: send his account of the results to a leading authority. ”

--- Model

"A mathematician usually discovers a theorem through intuition; the result is first likely to him, and then he sets out to create it. A proof. "---Hardy

"A scholar, in addition to learning knowledge, must also have "tast". This word is not easy to translate, and some translate it into taste and love. If a person wants to achieve great achievements, he must have a very clear "tast". "----Yang Zhenning

"Mathematics is the king of science."---Gauss

"If you think that necessity is only found in geometric proofs or in sensory evidence. , that would be a serious mistake. 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 is making great progress if he is adding many new terms to it and leaving the reader to study the wonderful and indescribable things that lie before them. "---Cauchy

"Mathematics is a deductive science. From a set of postulates, through logical reasoning, a conclusion is obtained. "——Chen Shengshen

"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 is why 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. "

--- Chen Shengshen

"There is no Nobel Prize in mathematics, which may be a good thing. The Nobel Prize is too high-profile and distracts mathematicians from focusing on their own research. ”

————Chen Shengshen

“We appreciate mathematics, we need mathematics. "——Chen Shengshen

"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. "

--- Chen Shengshen

"Although we are not allowed to see through the secrets of the nature of nature and thus understand the true causes of phenomena, such a situation may still occur: certain fictional assumptions enough to explain many phenomena. "——Euler

"Because the structure of the universe is the most perfect and wise creation of God, therefore, if there is no certain maximum or minimum law in the universe, Then nothing will happen at all. "---Euler

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

"Things are related 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 dissected with diagrams. The common people can also summarize and understand, and they are clear but not obscuring. Those who have read it have thought more than half of it. "----Liu Hui

"Imaginary numbers are wonderful human spiritual sustenance. It seems to be an amphibian between existence and non-existence. "----Leibniz

"Things that do not work will not exist. ”----Leibniz

“After considering those few things, the whole thing boils down to pure geometry, which is an aim of physics and mechanics. "---- Leibniz

" Geometry sometimes seems to be ahead of analysis, but in fact, geometry precedes analysis, just like a servant walking in front of his master. The one who clears the way for the master. ”----Sylvester

“Perhaps I may not unduly claim the title of mathematical Adam, for I believe that the creation of mathematical rationality is named by me (already popularly universal) rather than More than all other mathematicians of the same generation put together. "----Sylvester

"A mathematician without some poetic talent will never become a complete mathematician.

”----Weierstrass