my scientific age

Chapter 142 94.5%!

"Today on the [-]th, it seems to be the time for the publication of the Tsinghua Journal. I don't know if the mechanical drawing will be published together... Forget it, no matter, there is still one last bit of progress before the establishment of the thinking finite element analysis system, and strive to get it done within this week. ." Yu Hua put down the pen and thought silently.

Luogeng will have three math classes today, and will not be back until the afternoon. After finishing his homework, Yu Hua got up and went to his desk to study and review the Lagrange mean value theorem explained by Master Hua Luogeng.

Learning is the stage of contacting knowledge, and learning is the stage of transforming knowledge into oneself.

Review the knowledge points explained in today's math class, split them up, reconstruct knowledge, and have a deep understanding from multiple perspectives and aspects.

Immediately afterwards, Yu Hua opened the fractional book to preview Rolle's theorem and Cauchy's mean value theorem.

Essentially, many median theorems are special cases, generalizations, and even extensions of Lagrange’s median theorem. However, Rolle’s theorem is very special. The language is expressed as a function of Lagrange’s median theorem. The function values ​​of the two endpoints are equal.

What is the practical use of learning this?

It seems not.

But it is an important tool for studying specific functions, and it is extremely important for Yu Hua.

With a serious demeanor and focused eyes, Yu Hua carefully studied the proof process of Rolle's theorem and related knowledge points.

Nowadays, with the increasing knowledge level and knowledge information entropy, and the brain evolution rate is lower than the information entropy growth rate of advanced knowledge, Yu Hua's whole person's learning efficiency is gradually declining. For mathematical knowledge points with high information entropy , it is no longer as simple and easy as it used to be when learning elementary mathematics.

Information entropy is the average amount of information in a certain piece of information. The higher the information entropy, the higher the amount of information contained in it. This is the concept of the information field that Shannon, the father of information theory, will officially announce in 1948. Where.

From the perspective of information theory, every knowledge point and every theory of mathematical analysis is a typical example of high information entropy.

How tall is it to ask?

Assuming that the quadratic equation in the elementary mathematics system has an information entropy value of 5, then the information entropy of Rolle’s theorem that is currently being studied is 20, and the information entropy that has plagued the mathematics world for more than 200 years may be as high as 500, or even break a thousand.

Looking at it this way, it is extremely careless, but only numerical values ​​are not rigorous.

Because of the difficulty of understanding the information.

This concept is easy to understand. A typical example is that the teacher teaches trigonometric functions in class, and the top students can easily understand it, but the poor students are confused. They don’t understand what trigonometric functions are until 10 minutes after class.

The difficulty of understanding information is fixed, and the speed of understanding depends on the total efficiency of people's acceptance of information entropy.

The total efficiency of information entropy accepted by ordinary people is generally in the range of 0.05-1 per day, and the genius is generally in the range of 1-5 per day, and this is often the gap between the scumbags and the masters.

It takes ten days and a half to learn a quadratic equation for a scumbag, and eugenics only needs to look at it to understand it, there is no comparison at all.

0-10, 11-20, 21-30, 31-40, etc. all belong to the understanding difficulty level of information entropy. Each level of information entropy understanding difficulty is no longer addition, but multiplication, that is Information and understanding difficulty with an information entropy of 10 will even double when the information entropy level breaks from two digits to three digits.

Information entropy is not numerically capped, because knowledge has no limit, only more and more difficult.

For Yu Hua, repetitive calculations are not a problem at all, because the information entropy of these things is extremely low, but it takes a lot of time and energy to learn and understand abstract advanced mathematical knowledge with high information entropy.

Memorizing knowledge is not the same as learning knowledge. Mathematics does not teach rote memorization, but only comprehension.

In the past, Yu Hua understood the knowledge of elementary mathematics system at a glance. Now that he has entered the vast ocean of fractions, this kind of thing that can be learned at a glance is gone forever.

From an objective point of view, mathematics is interesting, but it is really difficult.

The most important thing is that this is still the stage of advanced mathematics, and the real mathematics has not yet begun.

Look at these knowledge monsters with extremely high information entropy, Fourier series, Laplace transform, group theory, complex function, topology, Riemann curve, differential geometry, Hilbert space, Boolean algebra , algebraic geometry, algebraic number theory...

The information entropy is higher than the other, and the difficulty of understanding is exaggerated, especially the various conjectures and theories at the forefront of mathematics. For ordinary people, let alone thinking about it, just looking at it makes people feel dizzy.

After the evolution of the brain, Yu Hua has almost reached the limit of human beings. The total efficiency of receiving information entropy is about 15 per day.

Of course, despite the declining trend of learning efficiency, Yu Hua still surpasses any ordinary person's efficiency in accepting new knowledge.

One morning has passed, Yu Hua's preparation progress has been considerable, and he has reached the node of Cauchy's median theorem. On the other hand, the progress of the thinking finite element analysis system has increased from 89% to 94.5%.

100% left to reach the 5.5% target.

At noon, the lunch consisted of simple steamed buns and pickles. Yu Hua and his wife, Wu Xiaoyuan, ate it together, and then went back to study in the study again, striving to improve the progress to about 97% today.

Outside the window, the sun is shining.

Tsinghua Garden, Editorial Office of Tsinghua Journal.

In the editorial office, the wall clock hanging on the wall shows the time - 12:50.

The atmosphere in the office was serious. The editor-in-chief Wen Yiduo, the deputy editor Chen Yinke, the editor Tian Qi, the director of the Department of Mechanical Engineering Zhuang Qianding, and the reviewer Ye Qisun gathered here, and everyone waited quietly.

Today is the day of the publication of Tsinghua Journal.

For Wen Yiduo, Chen Yinke, Zhuang Qianding and others who have been waiting for a long time, today is a very important day.

Because today is also the publication date of "Chinese Mechanical Drawing", after the early stage of secrecy, a large number of "Chinese Mechanical Drawing" has been printed, with nearly [-] copies, covering areas such as Peking, Tianjin and Shanghai. Just wait for the publication time to be officially announced.

The atmosphere was quite dignified. Zhuang Qianding, who knew the meaning of this book, walked back and forth, looking at the wall clock from time to time, like a student waiting for the final grade, completely lost the demeanor that a Tsinghua professor and senior scholar should have.

The rest of the people did not laugh at Zhuang Qianding, and everyone knew the importance and significance of this book.

Since ancient times, literati have looked down on each other's achievements and works, but there are 'literati' present, but they cannot and dare not look down on this book compiled by Mr. Zhang San.

In terms of importance, this work far surpasses the other articles in this publication.

"He Shou, I heard that there is an article in the Department of Mathematics that was written by a high school student, isn't it?" The atmosphere in the office was too solemn, Ye Qisun spoke softly, but did not persuade Zhuang Qianding, who was walking back and forth. , looked at Chen Yinke, who was sitting beside him, and asked.

"Yes, this article is called "Reconstructing the Lebesgue Integral". The first author is Yu Hua, a student of Peiping No. [-] Middle School. The manuscript was submitted by Hua Luogeng, a professor at the school. "Chen Yinke, who is skilled in nourishing qi, seemed calm, tapping his right index finger on the table with regularity, smiled at Ye Qisun, and explained slowly.

Ye Qisun was surprised when he heard it: "Oh? I didn't expect that the current high school students have reached the academic level of reconstructing Lebesgue points. It's really interesting."

As the dean of the Faculty of Science, Ye Qisun is naturally a mathematician, but his achievements and fame in the field of physics are much higher than those in the field of mathematics.

Reconstructing the Lebesgue integral is an operation that even a sophomore in mathematics can't do.

However, now it has been done by a high school student.

Really fun.

"This is the genius I've been waiting for in China, but unfortunately, I was born out of time..." Chen Yinke sighed.

When the national disaster is on the horizon and the wind and rain are shaking, how can there be time for a student to grow from a seedling to a towering tree.

Ye Qisun heard this, nodded silently, and said softly, "This book can at least enhance my Chinese industry a little bit."

The two chatted, Wen Yiduo sat and sipped tea, did not participate in the topic, and occasionally looked at the wall clock.

Under the gaze of Zhuang Qianding and everyone, the time of the wall clock seemed to slow down a lot, which made people feel anxious and irritable.

wait.

Silently waiting.

"Click!" The second hand, which was constantly moving forward, made a small sound. As the second hand completed a circle, it finally reached the twelve o'clock position. The minute hand suddenly advanced one step and pointed to 12.

Time, 1:00.

(End of this chapter)