my scientific age

Chapter 141 Lagrange's Mean Value Theorem!
Because the Sixth Wing is stationed here, which is no different from stationing in Tianjin City.

With the high mobility afforded by the railway line, the Sixth Wing could reach Tianjin within three hours and Peiping within eight hours.

Stationed in Tianjin City, it will attract the attention of the outside world, but stationed here, there are almost no disadvantages, and the benefits are very obvious.

Even the Sixth Regiment had arrived in this valley on time two days ago and was stationed in the valley, transformed into a poisonous snake lurking in the dark, ready to deliver a fatal blow at any time.

After verifying their identity information, Li Ping and Shen Wei did not dare to delay, they returned the same way, and after quietly leaving the warning range of the Sixth Wing in the Valley, they shuttled through the mountains and forests at the fastest speed.

There is not much time left for them.

About an hour later, a Japanese soldier with live ammunition struggled to climb up the hillside and came near the secret sentry point. The expected voice of the password did not appear, his brows were slightly frowned, and he shouted towards the secret sentry point not far away: "Fujita-san , It's time for the changing of the guard."

There is still no movement from the dark sentry point.

Seeing this situation, the highly vigilant Japanese soldiers immediately entered the fighting state, gripped the [-]-type rifle with both hands, pulled the bolt and loaded it, and slowly approached the secret sentry point. Then, Fujita's body, which was covered by weeds in the dark sentry point, came into sight , blood was everywhere, and the body was motionless.

"Baga!" Seeing Fujita, who had been dead for a long time, the Japanese soldier cursed secretly, immediately understood the situation, and quickly returned to the team headquarters.

It didn't take long for Fujita and another soldier to be attacked and killed, which was passed on layer by layer and reported to the wing headquarters.

However, this situation did not attract the attention of the commander of the regiment, Nakajima Cunichi. Since the loss was minimal, he believed that this incident was defined as a simple attack. In the face of the powerful strength of the sixth regiment, the enemy had no choice but to return without success. .

The reconnaissance team rushed back to Tianjin City as quickly as possible, and quickly reported the situation to Tian Hong, who was about to be promoted to the top person in charge of the Pingjin area.

……

Beiping City, Fengtai area.

A young man dressed as an ordinary person stayed outside the Japanese barracks, wandering the streets, staring quietly at the gate of the barracks.

Not long after, there was a sudden movement in the Japanese barracks. The gate was opened, and a group of Japanese soldiers left the barracks, commanded by a Japanese major, and headed to the other side of the street.

When the young man saw this Japanese army, he immediately lowered his head and revealed the watch on his right hand. The time was 7:20, silently recorded the time, and then got up and left.

In the Pingjin area, red special personnel dressed in various identities stayed near the area where Japanese troops were stationed, and conducted information verification based on deciphered intelligence information.

……

Tianjin City, a suburban courtyard.

Three middle-aged men sat in the main room, with three information files on each table, which recorded the details of the recent intelligence operations. A young man stood beside him and reported in a serious voice: "Reporting to the chief, the special branch department has deciphered the intelligence After multiple intelligence verifications, the accuracy of the military intelligence information deciphered by the red secret is 99.5%, we have fully grasped the mobilization information of the Japanese troops, and the Japanese diplomatic intelligence information cannot be verified for the time being.”

The accuracy of military intelligence is 99.5%!

This is an unbelievably shocking statistic.

"Okay, very good, thank you for your hard work, please continue to work hard, the organization needs you." The professor heard the information verification report on the red secret deciphering data, took a deep breath, suppressed the excitement in his heart, and praised.

"Guaranteed to complete the task." The young man put down the document in his hand, straightened his body, gave a military salute, turned and left.

"It's unimaginable, it's really unimaginable. Although Mr. Zhang San has described the situation in his letter, I still feel shocked. I never thought that one day I will have a complete grasp of the movements of the Japanese troops and know when they Go out for training and destinations, etc." After the youth staff left, the professor said to the other two middle-aged men.

The words are full of emotion and shock.

"Yes, Comrade Professor, I think the time is ripe, and it's time to report to the central government about the situation of the red secret deciphering data." The middle-aged man wearing glasses nodded.

The professor nodded seriously: "Yes, I will do it right away."

……

The next day.

In the early morning, the sun rises.

"The differential mean value theorem is a general term for a series of mean value theorems, which are mainly divided into five categories, Taylor formula, Lagrange mean value theorem, L'Hopida's rule, Cauchy mean value theorem and Rolle's theorem, Lagrange mean value theorem I have talked about the theorem and L’Hopital’s rule before, but it is from the perspective of high numbers, and today we will talk about Lagrange’s median value theorem from the perspective of fractions.”

"The median value theorem is jointly constructed by many theorems, the Lagrangian median value theorem is the core, Rolle's theorem is a special case, and Cauchy's theorem is a generalization."

"If the function is continuous on the closed interval [a, b]; it is differentiable in the open interval (a, b), then there is at least one point ξ(a<ξ in (a, b)
"Make the equation f(b)-f(a)=f'(ξ)(ba) established, this is the mathematical expression of Lagrange's mean value theorem."

In the study room, Hua Luogeng's gentle and clear voice often sounded.

Today's fractional class is about the differential mean value theorem. Hua Luogeng explained the key knowledge points step by step. Sitting on the chair, Yu Hua concentrated on listening carefully, absorbing water continuously like a dry sponge. , gain knowledge.

The differential mean value theorem is a key knowledge node in the field of fractions, which mainly reflects the relationship between the locality of the derivative and the integrity of the function.

As for the role, it is a powerful tool for studying functions.

If you ask what is the use of studying functions... All subjects can be used, whether it is physics, chemistry, flight mechanics and aerodynamics, including the explosives that Yu Hua made in private, and the limited thinking built in his mind Meta-analysis system, all used.

"Note that when g(x)=x in Cauchy's median value theorem, Cauchy's median value theorem is Lagrangian's median value theorem." Soon, today's number class ended, and Hua Luogeng explained Lagrange carefully from the point of view of numbers After Lange's median value theorem, he wrote down the last string of formulas with a chalk in his right hand, cleared his throat, and reminded him.

"Students remember." Yu Hua nodded in response. After this class, he felt that his mathematics level had improved a little, and the progress of establishing the thinking finite element analysis system had increased by nearly 5%.

The progress is gratifying, and there is one last point left.

However, the more you get to the end, the more difficult it is.

"These questions are homework. I'm going to class." Hua Luogeng smiled, turned around and left three math questions on the blackboard, and then left.

"Goodbye, professor." Yu Hua said goodbye to Hua Luogeng, and turned his eyes to the three number questions on the blackboard. After a second, he had already calculated the answer in his mind.

Hold the pen with your right hand, drop it, block letter mathematical characters appear on the surface of the draft paper.

About 10 minutes later, the three draft papers were written, and the dense mathematical proof process was exhausted.

10 second for mental arithmetic and [-] minutes for handwriting.

"Huh..." Yu Hua, who finished his homework after class, let out a breath of foul air.

(End of this chapter)