Constant function and exponential function ex walk in the street and see the differential operator from a distance. The constant function was so scared that it quickly hid and said, "I differentiate by it, and there is nothing!" " "
The exponential function said unhurriedly, "It can't do anything to me, I am!" " "
Exponential function meets differential operator. The exponential function introduced itself: "Hello, I am."
The differential operator said, "Hello, I am!"
The story of Shu Gao.
A long time ago,
Under the light of Lagrange,
There are several cities:
They are ordinary differential square city and partial differential.
Fangcheng, two sister cities, also has mathematical equations and random crossing. Several streams flow out of these cities, exceeding
The famous ones are Cauchy, mathematical bifurcation, functional bifurcation, regression bifurcation, time series bifurcation and so on. one of
Several streams and tributaries converge into three big rivers: Analytic River, Differential River and Riemann River.
There is an ancient Heisenberg by the river, where the mother and son of Hai Huo lived, dressed in Debro clothes, Lu Se clothes and doors.
Trevor,
In order not to be disturbed by mosquitoes,
I was bitten by a crocodile named Ding Xue in the river.
The castle gate has two sides.
Niu Dun and Doyle Dun, if they go out, it's Pauling. There are many trees in Pauling: trees with higher generations, trees with abstract generations,
Linear algebra tree, real variable function tree, complex variable function tree, numerical algebra tree, etc. , and full of Fourier and full of Vander.
Horizontal flower tree
People deliberately put a lot of covers (approximate) and barrels (tall barrels) next to these trees to put the bodies.
Yes, because there are too many people hanging on it, too many people.
After their death, these people were buried in Wiki Tomb, behind which was a huge maclaurin.
There is a Fermat in the Woods. It likes to drink water in Cauchy, where it is sprinkled with beautiful Gauss.
ε-net, sometimes you can catch the second leftover fish.
Later, several rivers in Fernsler were diverted, and several rivers could not be coordinated. Li Qun, an engineer, had to distinguish manifolds and adjust rivers.
After several rivers in Fenxi split into streams, the water volume soared, and it was not possible to build a ferry. Despite this, many people still hang up, even
The non-exchange trees are full and have to be thrown into the powertrain bucket.
Some people don't want to hang it on a tree, so they just put it in and force it (near). As a result, the man who threw himself into the well found underground.
There are two kinds of turtles: linear turtles and nonlinear turtles: the former is the most common one, simple linear turtles and multivariate turtles.
Linear turtles, they all like to eat the smallest two oranges.
Cauchy passes through unequal cities, asymptotic counties and polar counties, where the roofs of houses are covered by Galois.
People's staple food is a tiny amount of grain.
There is a Taoist temple next to Jixian called linear ignorance, and there are many Taoist priests called multi-physiognomists.
Taoist priests are also called two-faced people. There is a temple called Xiangmiao next to the straight line view, and the elder is called Manzhi, with a nozzle array.
Guard a tower. One day, binomial kicked the pavilion with Markov chain, and Manzhi said:
"Zhengding! Zhengding! My progression is too low, and I would like to sum it up with Zheng Tai. Do you have a friend's contract? " Binomial exclaimed:
"It's really worth it!" Step back. Unexpectedly, Manzhi's self-confidence is too low.
Don't make peace with Zheng Tai, but hope that Zheng Tai will return. Binomial range in density function
Under the tree, the standard distribution is spread out, and two hairpins are wrapped in cloth, namely the standard hairpins and the square hairpins.
Manzhi saw Yang (martingale) begging for mercy. Binomial put it in Hilbert space and ordered Barnah to guard it.
Later, Barnah asked him to pay for the meal. When he was full, he was greedy and ate more.
As a result, I choked to death under the ginseng tree (Bayesian)
2. Can you sum it up in a few words? Learning in college can't cope with exams. What is important is to learn the connotation of each course, that is, the way of thinking.
In advanced mathematics, if you want to put forward or establish an idea and method, you must always have basic concepts and conclusions as the basis. If we don't have a good grasp of these concepts and basic conclusions, it will be difficult to master their internal core ideas and methods.
The process of learning advanced mathematics is also the process of establishing new cognitive concepts. For example, the transition from finite mathematics to infinite mathematics is a cognitive leap. Freshmen often don't realize the importance of learning basic concepts and conclusions, but only understand them on the surface of words, ignoring the change of ideas, which leads to learning difficulties, loss of interest and even weariness of learning.
In fact, the difficulty in learning advanced mathematics lies in the accurate understanding and flexible application of basic concepts and conclusions, as well as the establishment of dynamic change concepts. After breaking through this difficulty, many problems were solved.
First, preview before class. Understand what the teacher is going to say, review the relevant content accordingly, be targeted and take the initiative to learn.
Second, listen carefully. Listening to lectures is a process of listening, taking notes and thinking wholeheartedly.
Pay attention to the teacher's explanation methods, ideas, and the process of analyzing and solving problems. At the same time, pay attention to the problems encountered in the preview and take notes in class. Third, review after class, step by step.
On that day, you must recall the contents of the teacher's lecture, and then read the textbook content repeatedly with your notes, improve your notes, master the relationship between what you have learned, and finally finish your homework. When doing homework, summarize and refine the knowledge, ideas and methods learned, and build a knowledge structure framework through comparison; We should review and consolidate the knowledge we have learned frequently and carry out circular learning; Learn to sum up.
Fourth, the overall grasp, can not break the chain. Advanced mathematics is a complete chain, one link is buckled.
If any link is not mastered well, it will affect the whole learning process. We should pay special attention to the concepts of function and limit, which are the "foundation" of advanced mathematics and directly affect the subsequent study.
If you don't master it as a whole, it is easy to "drown" in a large number of concepts, conclusions and problems.
3. Help find quotations that ridicule the college entrance examination system. 1 One day in the sky and one year on earth; Eating a cigarette in the sky is seven or eight days on earth.
The college entrance examination filled in three volunteers. The first two are Tsinghua Peking University. I waited eagerly at home for a month and didn't wait for the admission notice. I guess the Tsinghua Admissions Team missed my name, and the notice of Peking University was lost by the postman on the way. Wow, it's rare for you to grow such a mature face before you are twenty years old. You will definitely become a pillar of the motherland in the future.
He who is not afraid to look for bones in eggs is afraid that he must look for eggs in bones. Although I can't ask my parents to drive me to college in my life, I must send my son to college in 20 damn years.
Brother, I am a man who has killed people, spared too much, served as a soldier, been in prison, traveled privately, sold drugs, stole taxes and took advantage of them. What dare I do? Do anything for my brother, no matter how tall his building is, close your eyes and jump. Seven, four, three, big monkey, just waiting for you.
I was a gifted scholar in my class in high school. I am proficient in piano, chess, calligraphy and painting, and I have heard others play the piano on TV. Chess, watching people play chess on TV; Books, reading novels in class; Painting and doodling on the desk after class are the most important people in the school. You can call me an animal, but you can't call me shameless. Animals have dignity.
10 If you don't believe me, you just don't believe in science. If you are against me, you are only against people. 1 1 Look at those stars. Thirty is more beautiful than twenty, and forty is more beautiful than thirty. That is, the longer the more beautiful. Therefore, I believe that I may become handsome in the next twenty years. For so many years, before going to bed every night, I firmly believe that I will become more handsome when I wake up the next morning, but every time I wait until the next morning, I am always disappointed.
In the past twenty years, constant disappointment has led to constant hope. Now I finally understand that a flawless face like mine is hard to surpass. 12 now that science is so developed, a man cuts him off with a knife and rubs his chest up, and becomes a woman; A woman adds a small piece to her, and then punches her flat, and she becomes a man.
13 is more fierce than eating, because I am a man born to eat, and eating is my second life. 14 Don't laugh at my thinness, I'm covered in muscles; Don't look at my thin arms. I have enough strength. I don't care about ordinary little girls and boys, even if they add up to three or five.
15 wives need to change from time to time in order to be innovative and passionate. Which successful man hasn't been divorced several times? If you haven't divorced, you haven't succeeded. 16 If you treat money like dirt now, beautiful women will treat you like dirt.
If you don't get the money in the future, you may not be able to buy a house; If you can't buy a house, you may not find a wife; Can't find a wife, can't raise a son. 17 As a talented young man like me, he is called' Black Girl'. Even if he goes begging on the street, he will watch the fun with beautiful women. Just grab one. How can he not find a wife? My adopted son must be as clever as me. Once you teach him, he will soon pass, once he is proficient, he will forget.
19 If you don't get the money in the future, your wife will scold you for being worthless, or you will elope with the rich. When your son grows up, he will think you are a coward. I've never been fearless in my life. There are only three things I fear most in my life. The first is that my wife is afraid to run away with others. The second thing is that my son is not as handsome as me when he grows up; The third thing is afraid that my son will look down on me when he grows up.
2 1 In junior high school, I was a very pure man. I read too many novels. I actually believe that there will be love in this world, and my ambition is very simple. As a noble person, I am worse than dust in my eyes. I have only three things to do in my life: find a wife, raise a son and live my whole life. Now my concept is backward. I need to correct it. To hell with love. I want to find more wives and have more sons.
22 mom and dad! Before I turn 30, I will buy at least three big houses, one in Beijing, one in Shanghai and one in Guangzhou, each with a minimum of 1800 square meters. I will take out 150 square meters to make toilets, which is bigger than the whole house. "Advanced Mathematics" is the abbreviation of "Advanced Mathematics", which is a little different from high school mathematics. High school mathematics tells you that one plus one equals two, while high numbers tell you why one plus one equals two. It is a subject to explore advanced mathematics.
At that time in high school, as a student in a physics and chemistry class, I hated five subjects, Chinese, mathematics, physics and chemistry, and one subject was English, and my favorite subject was physical education. Soldiers who don't want to be generals are not good soldiers; I don't want to be my father's son, and I'm not a good son.
There are no absolutely lecherous men in this world. Those men with normal development can be roughly divided into three categories: the first category, lust, lust, fear, wealth and power, will turn flowers and trees for spring; The second color heart is colorless and gallbladder, which can only be placed in the heart at ordinary times; The third kind of man is not only colored, but also courageous. Unfortunately, his own conditions are insufficient to win the hearts of the opposite sex. This kind of person is the most dangerous. I accidentally committed a crime and went to prison to eat the same pot, which not only ruined others, but also ruined myself and two families. I found a secret, although there is no sufficient scientific basis for the time being, but I believe it will be confirmed by science in the near future, that is, when you just look in the mirror, you will always feel that you are not very handsome, but don't be afraid. Just stare at the mirror for a few more minutes, and you will gradually become more handsome. If you look for a quarter of an hour, you will feel that there is no more handsome person in the world than you. If you watch it for half an hour, you will feel that you are outside the cloud nine. Watch it for an hour, and you will feel like a Buddha.
Life has been more comfortable recently. I slept until eleven o'clock in the morning and got up for lunch. Sleep again in the afternoon, sleep until 5: 30, get up and eat; I slept until eleven o'clock the next morning after dinner. I'm so tired. My skin didn't get enough rest, my face wasn't peaceful, and I got pimples. Yesterday, there was a "starry moon" on my skull. Today, there are "Cowherd and Weaver Girl" on both sides of my nose, so I don't think half an hour is enough today.
4. What are the sentences describing mathematics? 1. In the field of mathematics, the art of asking questions is more important than the art of answering questions. -Cantor
2, a science, only the successful use of mathematics, in order to achieve a truly perfect level. Marx
Give me five coefficients and I will draw an elephant. Give me six coefficients and the elephant will wag its tail. -Cauchy
4, learning mathematics should do more exercises, thinking while doing. Predict what it is and then know why. -sue
If I inherit considerable property, I may not be of much value in mathematics. Lagrange
6. It is found that every new group is mathematical in form, because we can't have other guidance. -Darwin
7. Non-mathematical induction plays an indispensable role in mathematics learning. -Schur (Ishur)
8. The most important achievement of modern mathematics is to truly reveal the whole picture of mathematics and its essential existence. -Bertrand Russell
9. I always try my best to get rid of that heavy and monotonous calculation. Napier
10, a mathematician who has almost no talent as a poet will never be a complete mathematician ...-Wilstras
1 1. Pure mathematics can be practical and useful, and applied mathematics can also be elegant and elegant. Halmos
12, the simple composition of integers has been the source of new life in mathematics for centuries. -boekhoff
13, mathematics-an unshakable cornerstone of science and a rich source to promote the progress of human cause. -Barrow
14. In mathematics, it is very important to know what is important and what is not. Hironaka Heisuke
15, a mathematician without any poet temperament will never be a complete mathematician. -Wilstes