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1832, Lincoln lost his job, which obviously made him sad, but he made up his mind to be a politician and a state senator. Unfortunately, he

The election failed. It is undoubtedly painful for him to suffer two blows in one year.

Then, Lincoln started his own business, but less than a year later, the business closed down again. In the next 17 years, he had to work for

Repaying the debts owed when the enterprise closed down, running around and going through hardships.

Later, Lincoln decided to run for the state legislature again, and this time he succeeded. There is a glimmer of hope in his heart. Think of one's life

Life has changed for the better: "Maybe I can succeed!" "

1835, he is engaged. But a few months before the wedding, my fiancee died unfortunately. This is a mental blow to him.

It was so big that he was exhausted and stayed in bed for months. 1836, suffering from neurasthenia.

1838, Lincoln felt in good health and decided to run for president of the state legislature, but failed. On 1843, he also participated in the American election.

Member of the national assembly, but failed this time.

Although Lincoln tried again and again, he failed again and again: his business went bankrupt, his lover died and he lost the election. If you touch it,

Will you give up after all this? It's important for you to give up these things?

Lincoln didn't give up, and he didn't say, "What if you fail?" 1846, he ran for congress again, and he again

I ran for parliament once and was elected in the end.

His two-year term passed quickly and he decided to fight for re-election. He thinks his performance as a member of parliament is excellent, and he believes that voters will.

Keep choosing him. Unfortunately, he lost the election.

Because he lost a lot of money in this election, Lincoln applied to become a land official in his state. But the state government rejected his application and went to school.

It pointed out: "Being a land official in this state requires outstanding talents and extraordinary intelligence, and your application failed to meet these requirements."

Failed twice in a row. In this case, will you insist on continuing your efforts? Would you say "I failed"?

However, Lincoln did not give up. 1854 ran for the Senate and failed; Two years later, he ran for the nomination of vice president of the United States. As a result,

Defeated by an opponent; Two years later, he ran for the Senate again, but failed.

Lincoln never gave up his pursuit. He was the master of his own life. 1860 was elected president of the United States.

Hang in there, success is at your feet.

If a person wants to achieve great things, he must be able to persist, and only persistence can succeed. Speaking of which, one can overcome a little.

Children's difficulties may not be difficult, but it is rare to persist in the final success.

The author of Jane Eyre once said meaningfully: People live to suffer. There must be all kinds of pressures in one's life.

So the heart is always suffering, but this is the real life. Indeed, it will be light without pressure, and it will definitely not be light without pressure.

As. Choose pressure and keep moving forward, and you can achieve yourself.

You might as well try again. Many times in life, "a dark dream came to another village". In the process of growing up, especially in childhood, I suffered

There are too many criticisms, blows and setbacks from the outside world, so the enthusiasm and desire for progress are suppressed and blocked by "self-limitation", but nothing is gained.

We should guide, comfort and encourage them in time. I am not only afraid of failure, but also accustomed to failure, losing confidence and courage, and gradually developing.

Narrow-minded, self-abased, withdrawn, afraid to take responsibility, not enterprising, afraid to fight, thus losing their dreams.

Such a character, the most obvious performance in life is to drift with the flow and have no goal in life. Inherent success is a premature fire.

The ground went out.

Failure does not mean failure forever, and the goal that cannot be achieved does not mean that it will never be achieved. You can have your own.

Dream, you can set a goal for your life.

If you choose the future, then you are a child of God. If you choose the past, you may still be an abandoned child.

The past can determine the present, but not the future. Your goals are set for the future, and you are making choices for your future.

The past is not equal to the future. Just because you have succeeded in the past does not mean that you will succeed in the future; Past failures do not mean future failures.

. The success or failure of the past only represents the past and the future depends on the present. What should we do now? Your choice determines whether you are or not.

What's coming! Those who fail should not be discouraged, and those who succeed should not be proud. Success and failure are not the final result, it is just a life.

One thing about cheng. Therefore, there will be no one who has been successful, and there will be no one who has failed forever.

In daily life, desperation is both a challenge and an opportunity. If you are not intimidated, but do your best, maybe you

It will create a miracle beyond itself.

When it comes to celebrities, the first thing that comes to mind is Einstein, not only because he is a world-famous physicist, because the theory of relativity has made outstanding contributions to enhancing the thinking of the human universe, but also because I like him very much, like his innocent, lively, humorous and naughty side, an old urchin who sticks out his tongue to take pictures.

A word can change a person's life.

The brain is magical and is called a scientific giant among scientists. His academic experience is not magical at all, and he is even regarded as an "imbecile". At the age of four or five, he still doesn't know how to speak. He likes to sit quietly and often stays in a daze. His parents once thought that he was mentally retarded.

The performance of primary schools is really as bad as predicted. Except for being good at math, everyone else is poor, and always comes last in the class. The teacher even bluntly said to the parents, "No matter what you do, your child will accomplish nothing anyway." Dead wood was finally dropped out of school and didn't even get a high school diploma.

After all, Ains succeeded. After many twists and turns, he entered Swiss Federal Institute of Technology. The two keys to success are his uncle's insight and his parents' full trust. His uncle, an engineer, made him more and more interested in mathematics and physics, and the more he understood, the more he felt fulfilled. His parents firmly believe that his son will succeed and let a child who was once regarded as mentally retarded embark on a bright new journey in life.

Sugar, a great writer, I am too familiar with it!

Like literature, of course, he has a lot of works to read. During his lifetime, he wrote 47 novels, 2/kloc-0 poems and 30 historical biographies. His works are rich and refined, which not only produced epoch-making influence in the history of English novels, but also brought new impetus to the Russian, French and American literary circles at that time.

With such high-quality success, his achievements are hard to see. Suffering from polio, his right foot was inconvenient to move, and he was weak. He almost died after several serious illnesses. He felt a little inferior, and his grades were not as good as others, so he became a "schoolmaster". His words and deeds are often rude, he likes to be absent from class, and his final comments are very bad.

Only one teacher knows that although he hates homework, he is full of interest in reading and encourages him, which is also a turning point in his life.

After becoming famous, Sugert visited his alma mater in primary school and asked the school teacher affectionately, "Who is the child with the worst grades in school now?" 」

He learned from his intimate teacher who valued him in those years and told the blushing child, "You are a good boy, and I was just like you in those years. Don't lose heart." Then he took a gold coin out of his pocket and gave it to him.

One sentence changed a person's life, and it came true for Su Gert. He finally graduated from Edinburgh University and became a practicing lawyer.

With good wishes, he hopes that his words can also change other people's lives.

I like traveling, so I naturally fell in love with Xu Xiake. When the traffic was inconvenient and wild animals appeared more than 400 years ago, he traveled all over China for 30 years and wrote the famous tourism geography masterpiece "Xu Xiake's Travels", which recorded the mountains, rivers, climate, vegetation and customs at that time.

Xu Xiake was smart since he was a child, and he could write and write, but he didn't like his career. He put down the cold window and worked hard to learn world knowledge. At the age of 22, he packed his bags and walked between green mountains, green waters and silvery blue waves, achieving a magnificent career across 14 province.

Besides perseverance and courage, mother is the key to success. He abandoned the secular expectation of honoring his ancestors and encouraged Xu Xiake to say, "All men." His mother was even the best listener when he came back from his trip. He complained to his family about what he saw and heard on the trip, and his mother always gave a loud laugh to satisfy his heartfelt approval.

Without the support of his mother, Xu Xiake can hardly succeed.

These people are all successful, but they are successful in different ways.

Einstein in science, Sugert in literature, Xu Xiake in geology, Picasso in painting, Churchill in military, Darwin in biology, Scheler and Dalton in chemistry, Beethoven in music and so on. Some of them get good grades in school, and most of them are not very good, but the conditions for success are very consistent.

Mathematical genius-the story of gauss

Gauss (C.F. Gauss,1777.4.30-1855.2.23) is a German mathematician, physicist and astronomer, who was born in a poor family in Zwick, Germany. His father, Gerhard Di Drich, worked as a berm, bricklayer and gardener. His first wife lived with him for more than 65,438+00 years and died of illness, leaving him no children. Diderich later married Luo Jieya, and the next year their child Gauss was born, which was their only child. My father is extremely strict with Gauss, even a little too strict. He often likes to plan his life for the young Gauss according to his own experience. Gauss respected his father and inherited his honest and cautious character. De Derrick died in 1806, when Gauss had made many epoch-making achievements.

In the process of growing up, young Gauss mainly paid attention to his mother and uncle. Gauss's grandfather was a stonemason who died of tuberculosis at the age of 30, leaving two children: Gauss's mother Luo Jieya and his uncle Flier. Flier Ritchie is smart, enthusiastic, intelligent and capable, and has made great achievements in textile trade. He found his sister's son clever, so he spent part of his energy on this little genius and developed Gauss's intelligence in a lively way. A few years later, Gauss, who was an adult and achieved great success, recalled what his uncle had done for him and felt that it was crucial to his success. He remembered his prolific thoughts and said sadly, "We lost a genius because of the death of our uncle". It is precisely because Flier Ritchie has an eye for talents and often persuades her brother-in-law to let her children develop into scholars that Gauss didn't become a gardener or a mason.

In the history of mathematics, few people are as lucky as Gauss to have a mother who strongly supports his success. Luo Jieya got married at the age of 34 and was 35 when she gave birth to Gauss. He has a strong personality, wisdom and sense of humor. Since his birth, Gauss has been very curious about all phenomena and things, and he is determined to get to the bottom of it, which is beyond the scope allowed by a child. When the husband reprimands the child for this, he always supports Gauss and resolutely opposes the stubborn husband who wants his son to be as ignorant as he is.

Luo Jieya sincerely hopes that his son can do something great and cherish Gauss's talent. However, he was afraid to put his son into mathematics research that could not support his family at that time. /kloc-when she was 0/9 years old, although Gauss had made many great achievements in mathematics, she still asked her friend W. Bolyai (the father of J. Bolyai, one of the founders of non-Euclidean geometry): Will Gauss have a future? W Bolyai said that her son would become "the greatest mathematician in Europe", and her eyes were filled with tears.

At the age of seven, Gauss went to school for the first time. Nothing special happened in the first two years. 1787 years old, Gauss 10. He entered the first math class. Children have never heard of such a course as arithmetic before. The math teacher is Buttner, who also played a certain role in the growth of Gauss.

A story that is widely circulated all over the world says that when Gauss was at 10, by adding all the integers from 1 to 100, he worked out the arithmetic problem that Butner gave to the students. As soon as Butner described the question, Gauss got the correct answer. However, this is probably an untrue legend. According to the research of E·T· Bell, a famous mathematical historian who has studied Gauss, Butner gave the children a more difficult addition problem: 81297+81495+81693+…+100899.

Of course, this is also a summation problem of arithmetic progression (the tolerance is 198 and the number of items is 100). As soon as Butner finished writing, Gauss finished the calculation and handed in the small tablet with the answers written on it. E. T. Bell wrote that in his later years, Gauss often liked to talk about this matter with people, saying that only his answer was correct at that time, and all the other children were wrong. Gauss didn't specify how he solved the problem so quickly. Mathematical historians tend to think that Gauss had mastered arithmetic progression's summation method at that time. For a child as young as 10, it is unusual to discover this mathematical method independently. The historical facts described by Bell according to Gauss's own account in his later years should be more credible. Moreover, it can better reflect the characteristics that Gauss paid attention to mastering more essential mathematical methods since he was a child.

Gauss's computing ability, mainly his unique mathematical methods and extraordinary creativity, made Butner sit up and take notice of him. He specially bought Gauss the best arithmetic book from Hamburg and said, "You have surpassed me, and I have nothing to teach you." Then Gauss and Bater's assistant Bater established a sincere friendship until Bater died. They studied together and helped each other, and Gauss began real mathematics research.

1788, 1 1 year-old gauss entered a liberal arts school. In his new school, all his classes are excellent, especially classical literature and mathematics. On the recommendation of Bater and others, the Duke of zwick summoned Gauss, who was 14 years old. This simple, clever but poor child won the sympathy of the Duke, who generously offered to be Gauss' patron and let him continue his studies.

Duke Brunswick played an important role in Gauss's success. Moreover, this function actually reflects a model of scientific development in modern Europe, indicating that private funding was one of the important driving factors for scientific development before the socialization of scientific research. Gauss is in the transition period of privately funded scientific research and socialization of scientific research.

1792, Gauss entered Caroline College in Brunswick for further study. 1795, the duke paid various expenses for him and sent him to the famous German family in G? ttingen, which made Gauss study hard and started creative research according to his own ideals. 1799, Gauss finished his doctoral thesis and returned to his hometown of Bren-Zwick. Just when he fell ill worried about his future and livelihood-although his doctoral thesis was successfully passed, he was awarded a doctorate and obtained a lecturer position, but he failed to attract students and had to go back to his hometown-the duke extended a helping hand. The Duke paid for the printing of Gauss's long doctoral thesis, gave him an apartment, and printed Arithmetic Research for him, so that the book could be published in 180 1. Also bear all the living expenses of Gauss. All this moved Gauss very much. In his doctoral thesis and arithmetic research, he wrote a sincere dedication: "To Dagong" and "Your kindness relieved me of all troubles and enabled me to engage in this unique research".

1806, the duke was killed while resisting the French army commanded by Napoleon, which dealt a heavy blow to Gauss. He is heartbroken and has long been deeply hostile to the French. The death of Dagong brought economic difficulties to Gauss, the misfortune that Germany was enslaved by the French army, and the death of his first wife, all of which made Gauss somewhat disheartened, but he was a strong man and never revealed his predicament to others, nor did he let his friends comfort his misfortune. It was not until19th century that people knew his state of mind at that time when sorting out his unpublished mathematical manuscripts. In a discussion of elliptic functions, a subtle pencil word was suddenly inserted: "For me, it is better to die than to live like this."

The generous and kind benefactor died, and Gauss had to find a suitable job to support his family. Because of Gauss's outstanding work in astronomy and mathematics, his fame spread all over Europe from 1802. The Academy of Sciences in Petersburg has continuously hinted that since Euler's death in 1783, Euler's position in the Academy of Sciences in Petersburg has been waiting for a genius like Gauss. When the Duke was alive, he strongly discouraged Gauss from going to Russia. He is even willing to raise his salary and set up an observatory for him. Now, Gauss is facing a new choice in life.

In order not to lose Germany's greatest genius, B.A. von von humboldt, a famous German scholar, joined other scholars and politicians to win Gauss the privileged positions of professor of mathematics and astronomy at the University of G? ttingen and director of the G? ttingen Observatory. 1807, Gauss went to Kottingen to take office, and his family moved here. Since then, he has lived in G? ttingen except for attending a scientific conference in Berlin. The efforts of Humboldt and others not only made the Gauss family have a comfortable living environment, but also enabled Gauss himself to give full play to his genius, and created conditions for the establishment of Gottingen Mathematics School and Germany to become a world science center and mathematics center. At the same time, it also marks a good beginning of scientific research socialization.

Gauss's academic position has always been highly respected by people. He has the reputation of "prince of mathematics" and "king of mathematicians" and is considered as "one of the three (or four) greatest mathematicians in human history" (Archimedes, Newton, Gauss or Euler). People also praised Gauss as "the pride of mankind". Genius, precocity, high yield, persistent creativity, ..., almost all the praises in the field of human intelligence are not too much for Gauss.

Gauss's research field covers all fields of pure mathematics and applied mathematics, and has opened up many new fields of mathematics, from the most abstract algebraic number theory to intrinsic geometry, leaving his footprints. Judging from the research style, methods and even concrete achievements, he is the backbone of 18- 19 century. If we imagine mathematicians in the18th century as a series of high mountains, the last awe-inspiring peak is Gauss; If mathematicians in the19th century are imagined as rivers, then their source is Gauss.

Although mathematical research and scientific work did not become an enviable career at the end of 18, Gauss was born at the right time, because the development of European capitalism made governments around the world pay attention to scientific research when he was close to 30 years old. With Napoleon's emphasis on French scientists and scientific research, Russian czars and many European monarchs began to look at scientists and scientific research with new eyes. The socialization process of scientific research is accelerating and the status of science is improving. As the greatest scientist at that time, Gauss won many honors, and many world-famous scientists regarded Gauss as their teacher.

1802, Gauss was elected as an academician of communication and a professor of Kazan University by the Academy of Sciences in Petersburg, Russia. 1877, the Danish government appointed him as a scientific adviser, and this year, the government of Hanover, Germany also hired him as a government scientific adviser.

Gauss's life is a typical scholar's life. He has always maintained the frugality of a farmer, making it hard to imagine that he is a great professor and the greatest mathematician in the world. He was married twice, and several children annoyed him. However, these have little influence on his scientific creation. After gaining a high reputation and German mathematics began to dominate the world, a generation of Tianjiao completed his life journey.

Narrow yourself down.