Mathematics and humanities questions
College: Industrial Manufacturing College Major: Name:
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Is mathematics only used for engineering technology and natural science research? Does it work for the humanities? What are the functions? Please give specific examples to illustrate your point of view.
Answer: (1) Mathematics is useful everywhere, and humanities, such as social psychology, are needed. According to the statistical law, the economic model has a strong mathematical foundation. Moreover, many climate calculations in geography also need mathematics. Others, such as calendars, social statistics, finance, stocks, futures, etc. , all need to use mathematics.
(2) Mathematics, as an abstract natural science, seems to have little to do with humanities. In fact, however, the application of mathematics far exceeds people's imagination and penetrates into various fields. In the research and development of humanities, the flash of mathematics can be seen everywhere. Philosophy, economics, politics, sociology, aesthetics, literature, Chinese studies and other fields are inextricably linked with mathematics.
(3) With the development of science and technology, mathematics plays an increasingly prominent role in chemistry, medicine, biology, computer and physics. For the humanities, the most obvious subject that cannot be separated from mathematics should be economics. It can be said that you can't learn economics well if you don't know mathematics. Mathematical modeling plays a very important role in economic research. Abstract mathematical concepts such as set theory, calculus and topology have been fully applied in the research field of economics. It can even be said that modern economics has become a branch of applied mathematics. According to the construction and design of mathematical model, some basic economic theories can be established, such as optimal price, interest coordination, income maximization, input-output analysis and other theories and concepts, which must be put forward and established by mathematics. The embodiment of mathematical thinking still exists in philosophy. For example, as a number, 0 generally has two functions: one is to indicate no, and the other is to indicate carry and rise. This mathematical method to deal with problems seems simple, but it embodies rich philosophical thoughts. Philosophically, the development of things always goes round and round. The beginning of seemingly no improvement is actually the end of the last development process, which is to return to calm after flying over. This embodies the unity of "nothing" and "being". In mathematics, the same "0" shows qualitative change in one place because of the different numbers in ten places. The repetition of "0" is not a simple cycle of "nothing", but a gradual increase of "being", which is a kind of rise and development. Mathematical thinking has been perfectly embodied in philosophy. In aesthetics, the charm of mathematics remains undiminished, such as the perfect ratio-golden section number 0.6 18, which is often mentioned and adopted, and the aesthetic value of curves in mathematics. Another example is the works of escher, a Dutch printmaker. Critics say that unlike most artists who rely on mysterious sensibility to create works, escher's impressive and mathematical works are the product of precise routines. Every description of the world is the result of careful calculation. His creative process is like a mathematician, but there is no doubt that he is a real artist in terms of the aesthetic feeling of the picture. Mathematics is the soul of escher's art, but leaving aside the mathematical propositions behind his works, such as Riemann surface, impossible three-bar, topological geometry, we will still feel beauty from the visual impression.
What is the "butterfly effect"? Name the "butterfly effect" you have experienced or observed. How to prevent the bad "butterfly effect" and how to make good use of it?
A: (1) Butterfly effect refers to a long-term huge chain reaction that can be driven by small changes in a dynamic system under initial conditions. This is a chaotic phenomenon. A butterfly flapping its wings gently in the tropics may cause a hurricane in a distant country. In sociology, it is used to explain a bad micro-mechanism, which will bring great harm to society if it is not guided and adjusted in time, and is nicknamed "tornado" or "storm"; A good micro-mechanism, as long as it is guided correctly, will have a sensational effect after a period of efforts, or it will be called a "revolution."
(2) For example, in 2003, a suspected case of mad cow disease was found in the United States, which immediately brought a devastating hurricane to the newly recovered American economy. It was the unfortunate mad cow that flapped the butterfly's wings. First, the US beef industry, with a total output value of US$ 654.38+0.75 billion and employment of 654.38+0.4 million, was hit. As the main feed source of cattle owners, the American corn and soybean industries have also been affected, and their futures prices have shown a downward trend. However, in the end, the decline of American consumers' confidence in beef products contributed to the biggest loss of the "mad cow disease hurricane". In today's globalization, this panic not only caused the depression of domestic catering enterprises in the United States, but also spread to the whole world. At least 1 1 countries have declared an emergency ban on the import of American beef, and even the residents in China and Guangdong, who are far away from the other side of the ocean, stay away from western-style restaurants. This is reminiscent of bird flu at that time. Avian influenza, which was first discovered in individual countries, quickly spread all over the world. Even in areas or countries where bird flu has not been found, people will "talk about the color change of chickens." (3) One issue of The Reader told a story: frogs and lotus flowers. There is a lotus in a pond. Every day, a group of frogs swim freely on the other side of the pond, or they may jump around on the lotus. Lotus grows freely every day, and frogs are free to run around. One day, a little sewage flowed into the pond, which happened to be the growth promoter of lotus, making the growth of lotus cover the pond twice as fast every day. If the frog tries to take measures in the first ten days, the lotus in the small pond will not cover the whole pond. If no measures are taken, all the lotus flowers will cover the pond and drive the frogs out of the pond. So, when should frogs start taking preventive measures? This question is simple. Frogs need ten days to prevent. When can it be prevented? When will measures be taken when the lotus is in a large area? As long as you think about it, there is no room for frogs in the pond on the last day, and the penultimate day just accounts for half of the whole pond area, and so on. If you push it down, half of it is 10 power. This figure is very small, even if the area is less than 100 thousand, measures must be taken, otherwise the whole pond will be full of lotus flowers and drive the frogs away.
From this perspective, solving all problems should start from the moment when we realize that problems are about to arise, just like "everything is established in advance". However, this involves another problem: the timeliness of the system. In fact, in every enterprise, different management levels have corresponding systems to regulate various behaviors. These systems are like a sword hanging over everyone's head. However, there are always people who can bypass the system and even use it to do things that harm others and benefit themselves, or even harm others. So, isn't the butterfly effect useless?
Actually, it's not. It just reflects a place that needs to be remedied in enterprise management. Because the formulation of the system is completed in a dynamic process and the behavior targeted by the system is realistic, it is difficult to cover everything that will happen in the future. Therefore, the system is lagging behind. However, we can't deny the warning function of butterfly effect in management. Enterprises need to make up for the shortcomings of the system in time in operation. System is in a high position in enterprise management system, but it involves all aspects and is the key point to make full use of butterfly effect.
Einstein said: "Politics is present, and equations are eternal things." Please talk about your views on this article.
A: The story of Einstein's refusal to be president of Israel reflects many philosophies, including: (1) sticking to one's will. The realization of life ambition requires individuals to establish firm beliefs and never give up; (2) Learn to choose before choosing. Every choice is a test, and the correct choice can better show the wisdom of life and promote the realization of life value; (3) Be rational in the face of temptation. In the face of temptation, people should learn to resist temptation, overcome temptation, and be quiet and self-sustaining.
"Politics is the current situation". When the world pattern or region presents the current situation, we will recognize the current situation politics, which changes with the changes of the pattern and region. From a mathematical point of view, politics is a variable, and there are many factors that affect its change. "Equation is an eternal thing", which does not change with other factors. Mathematically, the "equation" is a constant. No matter how much time is spent, how the region changes, how the world is divided, and even how the earth is destroyed, its essence will never change.
Why is empty boasting meaningless? Why is it so harmful to speak with false numbers? On the contrary, why can we clearly and profoundly reveal the situation of social life with true, comprehensive and statistical data?
Please collect and analyze the statistics you are interested in. Use positive and negative concrete examples to illustrate this truth.
A: A person can talk big, but his judgment of words in his mind is relatively weak. When someone says some empty big words, it is easy for the listener to judge whether what he says is meaningful or not. I didn't say anything in the first class, I said it while doing it in the second class, and I just said nothing in the third class. The third category is the kind of people who talk big, and what they say has no weight. However, speaking with false numbers does do great harm. Numbers themselves are a highly credible language. The lies told with false numbers make everyone agree that they are correct to some extent. However, through interpersonal communication, the credibility is gradually improved, and the fake things become true when they are spoken in numbers, which will cause harm to society. With true, comprehensive and statistical data, we can clearly and profoundly reveal the situation of social life, because the true, comprehensive and statistical data itself comes from social life, and the data obtained through investigation, analysis and statistics is precisely the reflection of the current situation of life.
In order to achieve political achievements, leaders in some places resort to deceit in some figures related to educational indicators. Forge figures and indicators and do everything possible to cover up problems in education. Such false figures will lead to mistakes in decision-making, resulting in problems that should be solved in time not being solved in time, and the work that must be done with great efforts not being done well, which will have a great impact on the education level of the whole country. Therefore, whether the numbers are true or false affects the whole society and even the whole country.
Extra points. I copied almost all my information.