Mathematical Genius - The Story of Gauss
Gauss (C.F. Gauss, 1777.4.30-1855.2.23) was a German mathematician, physicist and astronomer who was born in Buenos Aires, Germany. A poor family in Rendswick. His father, Gerchild Didrich, worked as a berm worker, a mason, and a gardener. His first wife died of illness after living with him for more than 10 years, leaving him no children. Diedrich later married Rodea, and the following year their child Gauss was born, their only child. His father was extremely strict with Gauss, even a little excessive. He often liked to plan the life of young Gauss based on his own experience. Gauss respected his father and inherited his father's honest and cautious character. When Diederich died in 1806, Gauss had already made many epoch-making achievements.
While growing up, the young Gauss mainly relied on his mother and uncle. Gauss's maternal grandfather was a stonemason who died of tuberculosis at the age of 30, leaving behind two children: Gauss's mother Rodea and uncle Friederich. Friedrich was wise, enthusiastic, smart and capable, and he devoted himself to the textile trade and made great achievements. He found that his sister's son was smart, so he spent part of his energy on this little genius and developed Gauss's intelligence in a lively way. Several years later, Gauss, who had grown up and achieved great success, recalled what his uncle had done for him, and deeply felt the importance of his success. Thinking of his uncle's prolific thoughts, he said sadly that "we have lost everything because of his uncle's death". A genius". It was precisely because Friedrich had a keen eye for talents and often persuaded his brother-in-law to let his children develop into scholars that Gauss did not become a gardener or a mason.
In the history of mathematics, few people are as lucky as Gauss to have a mother who fully supported his success. Luo Tieya did not get married until she was 34 years old, and she was already 35 years old when she gave birth to Gauss. He has a strong character, is smart and virtuous, and has a sense of humor. Since birth, Gauss has been very curious about all phenomena and things, and is determined to get to the bottom of it, which is beyond the scope of what a child can allow. When her husband reprimanded the child for this, he always supported Gauss and firmly opposed the stubborn husband who wanted to make his son as ignorant as himself.
Luo Jieya sincerely hopes that her son can do a great career and cherishes Gauss's talent very much. However, he did not dare to easily let his son invest in mathematics research that could not support his family at that time. When Gauss was 19 years old, although he had made many great mathematical achievements, she still asked her friend W. Bolyai in the field of mathematics (W. Bolyai, one of the founders of non-Euclidean geometry). Father) asked: Will Gauss be successful in the future? W. Bolyo said that her son would be "the greatest mathematician in Europe", and she was so excited that she burst into tears.
At the age of 7, Gauss went to school for the first time. The first two years were nothing special. In 1787, when Gauss was 10 years old, he entered a class to learn mathematics. This was a class that was first established. Children had never heard of arithmetic as a subject before. The mathematics teacher was Buttner, who also played a role in Gauss's growth.
A story widely circulated around the world says that when Gauss was 10 years old, he solved the arithmetic problem Butner gave his students to add up all the integers from 1 to 100. Butner just narrated After finishing the question, Gauss calculated the correct answer. However, this is probably an untrue legend. According to the research of E.T. Bell, a famous mathematics 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 an arithmetic sequence (the tolerance is 198 and the number of terms is 100). As soon as Butner finished writing, Gauss also finished the calculation and handed over the small slate with the answer. E. T. Bell wrote that Gauss often liked to talk about this matter to people in his later years, saying that only the answer he wrote was correct at that time, and the other children were wrong.
Gauss did not explain clearly what method he used to solve this problem so quickly. Historians of mathematics tend to believe that Gauss had mastered the method of summing arithmetic sequences at that time. It is very unusual for a child as young as 10 years old to independently discover this mathematical method. The historical facts narrated by Bell based on Gauss's own words in his later years should be relatively credible. Moreover, this better reflects the characteristic that Gauss paid attention to grasping more essential mathematical methods from an early age.
Butner was impressed by Gauss's computing power, and more importantly, his unique mathematical methods and extraordinary creativity. He specially bought the best arithmetic book from Hamburg and gave it to Gauss, saying: "You have surpassed me, and I have nothing left to teach you." Then, Gauss established an alliance with Butner's assistant J.M. Bartels. A sincere friendship developed until Bartels' death. They studied together and helped each other, and Gauss began his real mathematical research.
In 1788, the 11-year-old Gauss entered a liberal arts school. In the new school, he excelled in all his subjects, especially classical literature and mathematics. After being introduced by Bartels and others, the Duke of Brunswick summoned the 14-year-old Gauss. This simple, smart but poor child won the sympathy of the Duke, who generously offered to be Gauss's sponsor so that he could continue his studies.
The Duke of Brunswick played a decisive role in Gauss's development. Not only that, this role actually reflects a pattern of modern scientific development in Europe, indicating that before the socialization of scientific research, private funding was one of the important driving factors for scientific development. Gauss was at a time of transition between private funding of scientific research and the socialization of scientific research.
In 1792, Gauss entered the Caroline College in Brunswick to continue his studies. In 1795, the Duke paid various fees for him and sent him to the famous G?ttingen School in Germany. This enabled Gauss to study diligently and start creative research according to his own ideals. In 1799, Gauss completed his doctoral thesis and returned to his hometown of Brunswick. Just when he fell ill worried about his future and livelihood - although his doctoral thesis was successfully passed and he had been awarded a doctorate and at the same time received Lecturership, but he failed to attract students and so had to return to his hometown - and it was the Duke who came to his rescue again. 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 1801; he also paid for all Gauss's living expenses. All this moved Gauss very much. In his doctoral thesis and "Arithmetic Research", he wrote a sincere dedication: "To the Grand Duke", "Your kindness freed me from all worries and enabled me to engage in this unique research." .
In 1806, the Duke was unfortunately killed while resisting the French army commanded by Napoleon, which dealt a heavy blow to Gauss. He was devastated and had a deep and long-lasting hostility toward the French. The death of the Archduke brought financial constraints to Gauss, the misfortune of Germany being enslaved by the French army, and the death of his first wife made Gauss a little discouraged, but he was a strong man and never Disclose one's predicament to others, and do not allow friends to comfort one's misfortune. People only learned about his mentality at that time when his unpublished mathematical manuscripts were compiled in the 19th century. In a handwritten article discussing elliptic functions, a subtle pencil text was suddenly inserted: "For me, death is more bearable than this life."
Generous and benevolent sponsor passed away, so Gauss had to find a suitable job to maintain the family's livelihood. Due to Gauss's outstanding work in astronomy and mathematics, his reputation began to spread throughout Europe from 1802. The Petersburg Academy of Sciences kept hinting to him that since Euler's death in 1783, Euler's position in the Petersburg Academy of Sciences had been waiting for a genius like Gauss. When the Duke was still alive, he firmly discouraged Gauss from going to Russia. He was even willing to increase Gauss's salary and build an observatory for him. Now, Gauss faces new choices in his life.
In order to prevent Germany from losing its greatest genius, the famous German scholar B.A. Von Humboldt teamed up with other scholars and politicians to obtain the privileged position of professor of mathematics and astronomy at the University of G?ttingen for Gauss. and the position of Director of the G?ttingen Observatory. In 1807, Gauss went to G?ttingen to take up a job, and his family moved here. From this time on, except for a trip to Berlin to attend a scientific conference, he lived in G?ttingen. The efforts of Humboldt and others not only provided a comfortable living environment for the Gauss family and allowed Gauss himself to give full play to his genius, but also created conditions for the establishment of the G?ttingen School of Mathematics and for Germany to become a world center of science and mathematics. At the same time, this also marks a good start for the socialization of scientific research.
Gauss’s academic status has always been highly respected by people. He is known as the "Prince of Mathematics" and the "King of Mathematicians" and is considered to be "one of the three (or four) greatest mathematicians" in human history (Archimedes, Newton, Gauss or plus Euler). People also praised Gauss as "the pride of mankind". Genius, precocity, high productivity, unfailing creativity..., almost all praises in the field of human intelligence are not exaggerated for Gauss.
Gauss’s research fields span all fields of pure mathematics and applied mathematics, and he has opened up many new fields of mathematics, from the most abstract algebraic number theory to intrinsic geometry, leaving his footprints. In terms of research style, methods and even specific achievements, he was a backbone figure at the turn of the 18th and 19th centuries. If we imagine the mathematicians of the 18th century as a series of mountains, then the last awe-inspiring peak is Gauss; if we imagine the mathematicians of the 19th century as a series of rivers, then their source is Gauss.
Although mathematical research and scientific work still did not become enviable professions at the end of the 18th century, Gauss was still born at the right time, because when he was about to enter his thirties, the development of European capitalism , making governments around the world begin to pay attention to scientific research. As Napoleon attached great importance to French scientists and scientific research, the Russian Tsar and many European monarchs also began to look at scientists and scientific research with admiration. The socialization process of scientific research continued to accelerate, and the status of science continued to improve. As the greatest scientist at that time, Gauss received many honors. Many world-famous scientific leaders regarded Gauss as their teacher.
In 1802, Gauss was elected as a corresponding academician by the Russian Academy of Sciences in Petersburg and a professor at Kazan University; in 1877, the Danish government appointed him as a scientific advisor. In this year, the Hannover government in Germany also hired him as a government scientist. consultant.
Gauss’s life is the life of a typical scholar. He always maintained the simplicity of a farmer, making it difficult for people to imagine that he was a great professor and the greatest mathematician in the world. He was married twice and had several children that annoyed him. However, these had little impact on his scientific creation. When it gained a high reputation and German mathematics began to dominate the world, a generation of geniuses completed their life journey.
As long as I have the chance, I will resist fate - Beethoven
Ludwig van Beethoven (1770-1827), the great German composer and Viennese classical music composer One of the representative figures. Beethoven was born on December 16, 1770 in Bonn, a small town on the Rhine River not far from France. His grandfather was the conductor of the Bonn court orchestra, and his father was a court tenor. Beethoven's musical genius has been revealed since he was a child. His father was eager to train him to become a child prodigy like Mozart. He forced him to learn piano and violin from an early age. When he was eight years old, he began to perform in concerts and try to compose music. , however, the music education he received during this period has been very fragmented and unsystematic.
At the age of twelve, he was already able to play freely and served as the assistant of the organist Nie Fei (1748-1798). It was at this time that he began to formally study music with Nie Fei. Nie Fei was a musician with many talents. He expanded Beethoven's artistic vision, made Beethoven familiar with some excellent examples of German classical art, and consolidated Beethoven's understanding of lofty purposes.
Beethoven's formal learning and systematic upbringing actually began with Nie Fei's careful teaching and training: Nie Fei also guided him to Vienna to teach Mozart in 1787. After hearing his performance, Mozart predicted that Beethoven would one day shock the world. Beethoven received news of his mother's death soon after arriving in Vienna, and he had to rush back to Bonn immediately. Due to family burdens, he did not come to Vienna for the second time until the death of his father in the autumn of 1792, but by this time Mozart was no longer alive. After Beethoven came to Vienna for the second time, he quickly won the title of Vienna's most outstanding performer (especially improvisation). Later, he first studied with Haydn, and later with Schenck, Albrecht Berg and Salieri. Through his contacts with the intellectual Breining in Bonn, he came into contact with many famous professors, writers and musicians at that time, and from them he was influenced by the ideological trend of "Turbulence Movement". His democratic ideas had reached maturity in the years before the French Revolution, but they grew particularly rapidly during the revolutionary years.
The progressive ideology of the French bourgeois revolution in 1789 inspired him a lot, thus laying the foundation for his humanistic world - a deep belief in human equality, the pursuit of justice and individual freedom, and a hatred of the oppression of feudal autocracy. . Although the three famous composers of the Vienna Classical School lived in a very close era, Beethoven's thoughts obviously did not belong to the same "era" as Haydn and Mozart. Haydn was humiliated throughout his life. Although he was occasionally provoked, he always accepted it. The progressive literary trends and revolutionary sentiments at that time rarely excited him, and his music was always insulated from struggle. Mozart suffered no less spiritually than Haydn. He was brave enough to resist and would rather be poor than endure the insult of the archbishop. However, in his music, behind the joy full of sunshine and youthful vitality, you can often still feel a trace of it. Emotions of pain, melancholy and sadness. Only Beethoven not only angrily opposed the tyranny of the feudal system, but also used his music to call on people to fight for freedom and happiness. Most of Beethoven's creations during his Bonn period (1782-1792) were small piano pieces, ensembles and songs. During this period, it can be said that he was only in the preparatory stage of creation. In the first ten years of his creation in Vienna (1792-1802), the only famous works are "Sorrow", "Moonlight", "Kreutzer" sonata and "Third Piano Concerto". But during this period, he gained a better understanding of social and political issues, and was able to realize the goals he wanted to pursue. From 1802 to 1812, his creation entered a mature period, which later became his "heroic age".
The maturation process of Beethoven's creative activities seems to be quite slow on the surface, but in fact it is very stable. He only began to write his first symphony when he was thirty years old. At this age, Mozart had already written about forty symphonies.
Beethoven had felt his hearing weakening since 1796, but it was not until 1801, when he was convinced that his ear disease was incurable, that he told his friends about it. However, his love for art and life overcame his personal pain and despair - suffering became the source of his creative power. At the height of such a spiritual crisis, he began to compose his optimistic "Eroic Symphony." "Eroica Symphony" marks a spiritual turning point for Beethoven and also marks the beginning of his "Heroic Age".
In the latter period of Beethoven's stay in Vienna, because Europe was experiencing a period of severe political reaction, that is, a period when Metternich's reactionary rule was particularly rampant, his creations also temporarily declined (1813- 1817). From 1818 onwards, during the last ten years of Beethoven's life (1818-1827), despite being completely deaf, suffering from deteriorating health, living in poverty, and suffering mental torture, he still created """" with giant-like perseverance. "Ninth (Chorus) Symphony" summarizes his glorious and epic life and shows the best wishes of mankind.
Beethoven died in Vienna on March 26, 1827.
No relatives were by his side when he died, but when he was buried on the 29th of the same month, there was a mass wave. All schools were closed to express condolences. There were 20,000 people escorting his coffin, and there was an inscription on his tombstone. With the inscription by the Austrian poet Greer Bacze (1791-1872): "When you stand in front of his coffin, what envelopes you is not dejection, but a noble emotion; we only have For a person like him, it can be said: He has accomplished a great career... \"
Beethoven is one of the great composers in the history of world art, and his creations embody his giantness. His character reflects the progressive thinking of that era, and his image of revolutionary heroism can be summarized as "through suffering - to joy; through struggle - to victory." His works are both majestic and magnificent, yet extremely simple and distinctive. His music is rich in content and at the same time easy to understand and accept for the audience. Beethoven's music embodies the pain and joy, struggle and victory of the people of his time. Therefore, it has always inspired people and inspired people's fighting spirit in the past. Even now, it makes people feel cordial and inspiring.
Argumentative arguments
1. Determination
refers to setting ambitions. Everyone has hopes and plans for the future, and determination is the starting point for success. Ambition and unremitting efforts can lead to success.
4. Where there is a will, things come true, and a hundred and two passes of Qin will eventually come to Chu;
If you work hard, man and nature will not let you down, and three thousand crossings will come true. Jia can swallow Wu.
——Pu Songling
Famous Quotes
1. Determination is mostly in youth, but the Song Dynasty writer Su Xun began to work hard at the age of 27. Studying day and night, he became a late bloomer and finally became one of the Eight Great Masters of the Tang and Song Dynasties.
Example
2. Wang Mian, a painter of the Ming Dynasty in China, when he was herding cattle as a boy, he determined to paint lotus flowers The beautiful scenery was painted vividly. He painted day and night without wavering, and later became a famous painter at that time.
3. King Gou Jian of Yue was defeated by the Wu army. He endured great humiliation and became a slave to Wu King Fu Chai. .Three years later, he was released and returned to the country, determined to avenge the national humiliation. He worked hard and worked hard, and finally defeated the state of Wu.
It means risking one's life and engaging in a fierce fight. It is a metaphor for using one's utmost strength, Work extremely hard to achieve your goals.
2. Strive hard
1. Sail against the current. If you don’t advance, you will retreat.
2. How many times can you go through life? Fight, if you don’t fight now, when will you fight? (Rong Guotuan)
3. If you live as a hero, you will die as a ghost. (Li Qingzhao)
Quotes
Example
1. Beethoven worked hard to grow up
The great composer Beethoven was unable to go to school due to family poverty when he was a child. After contracting typhoid and smallpox at the age of seventeen, he suffered from lung disease and joint problems. Inflammation, yellow fever, conjunctivitis, etc. came one after another. Unfortunately, he lost his hearing at the age of twenty-six, and suffered repeated setbacks in love. In this situation, Beethoven vowed to "strangle the throat of life." In the tenacious struggle of life, his will prevailed, and his fire of life burned more and more strongly in his music creation career.
2. Sima Qian wrote "Historical Records" and was inherited by Sima Qian of the Han Dynasty. His father's business was determined to write history books. He traveled around various places and read a lot of books. Unexpectedly, when he was starting to write "Historical Records", he was implicated in Li Ling's disaster. But he remained determined, endured humiliation and heavy burdens, suffered corruption, and was quiet and angry. After more than ten years of hard work, the masterpiece - "Historical Records" was finally written.
3. Diligence
Sweat is the nectar that nourishes the soul,
Diligence is the ladder to realize ideals.
1. Work is accomplished by hard work but idle by play. Success is achieved by thinking but destroyed by casualness. ——Han Yu
2. A young man who does not work hard will The boss is just sad.
—"Yuefu Poetry Collection"
3. Don't wait for a while. The young man's head is gray and empty. ——Yue Fei
Quotes
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5, "Where is the genius? I spend all the time that others spend drinking coffee on my work."
——Lu Xun
4, No pain, no gain.
——Xu Teli
1. Wang Xizhi and "Mochi"
Wang Xizhi was a famous calligrapher in the Eastern Jin Dynasty. He insisted on practicing calligraphy every day, and after he finished practicing, he would wash his pen in a pond near his home. This day after day, the water in the entire pond was dyed black, like ink. So people called this pond " "Ink Pond", also called "Inkstone Washing Pond", "Brush Washing Pond".
Example
2. Leonardo da Vinci painted eggs (the specific incident is omitted)... From then on, Da Vinci painted eggs ·Finch studied sketching attentively, and after long-term diligent and arduous artistic practice, he finally created many immortal famous paintings.
3. Sima Qian started writing "Historical Records" when he was 42 years old and completed it when he was 60 years old, which took 18 years to complete. Years. If the collection of historical materials, field interviews and other work after he was 20 years old were added together, this "Historical Records" took him a full 40 years.
4. Genius comes from diligence. Edison had many achievements in his life. More than a thousand inventions. In order to invent the electric light, he read a lot of information, and his notes alone have more than 40,000 pages.
After testing thousands of substances and doing tens of thousands of experiments, the electric light was invented.
5. Counter-example: Fang Zhongyong turned from a genius to a mediocre person because he did not study diligently.
4. Perseverance
Refers to a strong and lasting will. The flowers of victory bloom in blood and sweat, and the laurels of honor are woven with thorns. Despite all difficulties, perseverance is unswerving. Success belongs to those with a strong will.
1. Tenacious perseverance can conquer any peak in the world. ——English Dickens
2. People must have perseverance, otherwise they will achieve nothing. ——French Marie Curie
3. There is no smooth road in science. Only those who are not afraid of hard work and climb the steep mountain road can hope to reach the glorious peak. ——De Marx
Famous quote
1. Zhang Haidi strives to become a talented person. Zhang Haidi has suffered from severe high-level paraplegia since she was a child. She was on the verge of death several times. Her body is considered weak. However, over the past 20 years, she has learned 4 foreign languages ??and translated more than 160,000 words. He has written foreign works, obtained a master's degree in philosophy, taught himself acupuncture techniques, treated more than 10,000 people, and made great contributions. Compared with Zhang Haidi, what should we healthy people do?
Example
2. Achievements and sweat
①Wang Xianzhi, a famous calligrapher in the Jin Dynasty, used up 18 tanks of water to write and finally became a calligraphy master.
② Li Shizhen spent 31 years, read more than 800 books, wrote tens of millions of words of notes, traveled to 7 provinces, and collected thousands of prescriptions. In order to understand the detoxification effect of some herbs, she swallowed some The violent poison was finally written into the brilliant masterpiece of Chinese medicine - "Compendium of Materia Medica".
③Marx spent 40 years writing "Das Kapital" with painstaking efforts.
④The British biologist Darwin studied the theory of evolution and spent 22 years writing the book "The Origin of Species".
⑤The famous French physicist Marie Curie, after 12 years of experiments, was not afraid of setbacks and failures , a few grams of radium were extracted from dozens of tons of minerals.
3. Beethoven "grabbed fate by the throat";
Japanese Prime Minister Tanaka Kakuei was not afraid of ridicule and tried to correct Stuttering;
Li Bai met an old woman, "an iron pestle was ground into a needle";
The case of Sima Qian.
V. Adversity
It refers to difficulties, often refers to unsatisfactory, or even very bad and unfortunate situations. It makes people sad and painful, but it can also temper their will. Almost all outstanding talents have experienced hardships and obstacles and become strong in life.
3. The edge of a sword comes from sharpening, and the fragrance of plum blossoms comes from the bitter cold.
Famous Quotes
1. Quotes from "Born in Sorrow, Die in Peace" Example.
2. King Wu Fu Chai was determined to avenge his father and defeated the powerful country Chu; he was greedy for pleasure and was defeated by the small country he had defeated - Yue.
Example
3. Only by enduring training can one be able to "become the king." After the football king Pele became famous, a reporter interviewed him: "Will your son become the king of football like you in the future?" Pele replied : "No. Because his living environment is different from mine. My living environment in childhood was very poor, but it was in this harsh environment that I honed my strong fighting spirit, which enabled me to become the best player in the world. ; And he lives an easy life, and without enduring difficult training, he cannot become the king of football."
It refers to success or failure. Success refers to achieving the expected results in career or work; failure refers to encountering setbacks. Or being defeated by opponents in a struggle or competition. Everyone longs for success, but never be discouraged when you fail.
6. Success or failure
1. Failure is the mother of success.
2. Success or failure is not eternal, but can be transformed.
3. Don’t be arrogant in victory and don’t be discouraged in defeat.
4. Failure is often before dawn.
The darkness is followed by the dawn of success. ——Hodges
Quotes
1. Edison invented the electric light and experienced tens of thousands of failures, but he was never discouraged. , and finally invented the electric light.
2. Wellington failed but was not discouraged, and regrouped to defeat Napoleon. ("Failure is an Unknown")
Examples
Seven , Time
Our lives are made up of time. Even wasting a little time is a waste of part of life.
1. Time is life, time is speed, and time is power. — ——Guo Moruo
Famous Quotes
2. Time is life. Wasting other people’s time for no reason is no different from seeking money and killing people. ——Lu Xun
3. Don’t sit idle, your young head will turn gray, and you will feel empty and sad. ——Yue Fei
4. Don’t idle during the day, time will never come again. ——Tao Yuanming
5. You love life Then please don't waste time, because time is the material that makes up life.
——Franklin
For specific incidents, you can see a few examples in "Diligence", or organize it yourself.
8. Accumulation
Refers to the gradual accumulation of things. "Three feet of ice does not freeze in a day." Learning requires accumulation over time, and achieving a career also requires accumulation and unremitting efforts.
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Accumulation is a kind of perseverance, the only way from small to great, the prerequisite for success, and the process from quantitative change to qualitative change.
1. Perseverance, rotten wood Unbreakable; perseverant, gold and stone can be carved. - "Xunzi" (can also prove "perseverance")
2. If you don't accumulate small steps, you can't reach a thousand miles; if you don't accumulate small streams, you can't build a river.
——"Xunzi"
Famous Quotes
3. The tree that hugs each other is born from the smallest mosaic; the platform of a hundred feet starts from the base of the earth; the journey of a thousand miles begins with Under one step.
——"Laozi"
4. Water dripping through rocks, ropes sawing wood to pieces.
5. A thousand-mile embankment collapsed in an ant nest.
6. Disasters are often accumulated in the slightest, while wisdom and courage are often trapped in drowning. ——Ouyang Xiu
1. Although Li He only lived to 27 years old, he left behind many outstanding achievements. Psalms. His success lies in accumulation. He carries a bag of tips with him. Whenever he has inspiration, he writes it down on paper and puts it in the bag. He takes out the pieces of paper at night and organizes them. In this way, he accumulated a lot of creative materials and eventually became a famous poet. Poet.
Example
2. In order to write "Das Kapital", Marx read more than 1,500 books and left more than 100 reading notes. He mastered the knowledge of almost all European countries. Language, he has accumulated and stored inexhaustible information and materials in his mind.
9. Unity
Refers to concentrating efforts to realize the communist ideal Or unite or combine to complete the same task. When people are united, mountains can move. Unity is life, unity is strength, unity is victory. Unity is the guarantee for overcoming difficulties.
1. The right time is not as good as the right place. The geographical advantage is not as good as the people. - "Mencius"
2. A chopstick is easy to break, but a pair of chopsticks will never break.
3. The lyrics of "Everyone rows the oars to sail the big boat" .
Quotes
1. Fable: The swan, the barracuda and the shrimp were trying to transport a small car that was loaded with luggage but not very heavy. The three of them worked hard to Pull, but the car doesn't move at all - the swan keeps flying into the sky, the barracuda dives into the water with all its strength, and the shrimp drags behind with all its strength.
Example
2, will The story of Xianghe. (Lian Po and Lin Xiangru)
Ten. Self-esteem
Refers to respecting oneself, not bowing to others, and not allowing others to discriminate or insult. Self-esteem and self-confidence are They complement each other. People without self-esteem will never have self-confidence. Self-esteem is the soul of being a human being and the support for self-confidence and self-improvement. Only by respecting others can the weight of self-esteem be strengthened.
1. Go Let others tell your own path! ——Dante
2. It is not advisable to belittle oneself, and the quotation is unjust. ——Zhuge Liang
3. The poor will not be fed by complaining.
Famous Quotes
1. Tao Yuanming did not "bow down to the villagers for five buckets of rice" and resigned.
* You must have a measure of self-esteem. Face your own mistakes. When others point out or criticize you, don't do it for the sake of others. "Self-respect" and "face" insist on mistakes
Example
2. Shevchenko is a famous Russian poet. Once the Tsar summoned him, everyone else bowed, except He stood still in awe. The Tsar was furious and questioned him. He replied without fear: "It's not that I want to see you, but that you want to see me. If I, like these people around me, bow deeply in front of you, Waist, then how can you see me clearly?"
Just believe in yourself. Self-confidence is the essence of heroism. Self-confidence is simply a miracle for your career. With it, your talents can be used Inexhaustible, inexhaustible, and create miracles.
*Confidence is the cornerstone of success, a necessary condition for career success and winning in competition; self-confidence is a calm self-assessment rather than arrogance.
Eleven, self-confidence
1. My talents will be useful.——Li Bai
2. A ruler is short, an inch is long.
3. There is no greater sorrow than death. - "Zhuangzi"
4. Self-confidence is the first secret of success.
——Edison
Famous quote
1. The sum of a hundred zeros is still zero. After Einstein's "Theory of Relativity" was published, someone concocted a book "Hundred People Refuting the Theory of Relativity". Einstein dismissed this: "If I The theory is wrong. One person's refutation is enough. A hundred zeros add up to zero."
5. If life deceives you, don't be sad or impatient. You need to be calm in gloomy days. Believe it, those happy days are coming. ——Pushkin
Example
2. Ozawa Seiji dared to say "no". The famous conductor Ozawa Seiji once went to Europe. When he participated in a conductor competition, he discovered an error in the music score during the performance. However, the musicians, composers, and judges present solemnly stated that there was no problem, saying that it was his own misunderstanding. He thought about it again and again, but insisted that his judgment was correct. It turned out that , this is a test question deliberately set by the judges, and he won the first prize because he insisted on his correct views.
In life, it seems to be the easiest to be obedient in everything. On many occasions, people can say something unambiguously "No" requires a lot of courage.
3. Galileo's "two iron balls hit the ground at the same time"; Marie Curie firmly believed that radium could be extracted; Edison invented the electric light; the most important events in Chinese history Who among the achievers has not achieved success with the support of confidence?
Work hard forward and be determined to make a difference. Enterprising is an upward spirit. Only by making progress can you achieve the glory of life; enterprising spirit means Aiming to transcend mediocrity; progress should be a lifelong matter.
12. Progress
1. Only those who fight every day can enjoy freedom and life. - Goethe
2, __ The case of Beethoven
3, __ The case of Paul Korchagin
Some examples in the "hard work" and "diligence" columns
Famous quotes, examples
Actively ask questions about unanswered questions. Diligence in learning and good questioning are always connected.
Thirteen, good asking questions
1. Learn to know, ask questions and learn widely.
2. Don’t be ashamed to ask questions
3. Know well and ask questions well and then you can become talented.
Famous Quotes
p>4. The word "knowledge" needs to be taken apart. Learning is learning, and asking is asking. - Zheng Banqiao
1. Dai Zhen, a great scholar in the Qing Dynasty, was good at asking questions when he was a child. ( Volume 5 "Doubt and Knowledge")
2. Volume 5 of junior high school Chinese textbook "The Spirit of Asking Questions".
Examples
Fourteen, Guide to Seeking Knowledge Exploring knowledge and studying learning
① Seeking knowledge means giving
The dark soul lights up the holy fire of light; seeking knowledge is the need for modern society to participate in competition and become famous; the biggest obstacle to seeking knowledge is to sit in a well and look at the sky, and to be pretentious.
② When seeking knowledge, we should take the essence and discard the dross.
1. Knowledge is light, ignorance is darkness.
——Turgenev
2. My life has a limit, but my knowledge has no limit. —— Zhuangzi
3. There is no end to learning
4. Every step forward in knowledge is one step closer to the truth. - Tolstoy
Example
p>1. The fact that people study diligently can be used as a factual argument for "seeking knowledge", or as an argument for "diligence"
①The head cantilevered beam, the cone thorns. ②The wall is chiseled to borrow light.
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