21 binomial coefficient inverse transformation

Combination Mathematics?

Analytical mathematics?

Chen Fei was stunned.

Why is this Yang Dong so awesome? He even knows such things? He is simply not a human being!

He actually knew that Yang Dong was very powerful, but he didn't expect that this guy was so powerful.

It seems that he has to work harder in the future.

The gap between him and him is the same distance as a galaxy. Even if he has a system, he cannot be arrogant or self-righteous!

Must work harder!

Chen Fei said to himself secretly.

He soon led his team members to carry out a vigorous training.

Yang Dong had to leave with his men in shame. This time, they fell into a bad position again.

This can't continue like this!

This can't continue like this!

Yang Dong narrowed his eyes and said silently in his heart.

Chen Fei's words just now not only boosted the morale of their group, but also hit the morale of their group members.

The students who entered the experimental class did not want to be better, and who did not want to fly onto the J-20 as soon as possible. So, as long as it is a way to make them go further, everyone is happy to give it a try!

But judging from the current situation, Chen Fei and his team have indeed made greater progress, which means that Chen Fei's methods are indeed more effective!

"If this continues, the team will be difficult to lead!" Yang Dong sighed secretly.

Therefore, this cannot continue, and changes must be made immediately.

"So, what should I do?"

Yang Dong fell into deep thought while walking.

The physical fitness assessment at the end of August, from now on, there is no big problem for the members of their group. When everyone is selected, they are the top players among the top players. The physical fitness assessment is not too difficult for their group of pilots, because the physical fitness training at this time is mainly based on basic physical fitness, such as 3,000-meter push-ups, so Yang Dong estimated that 98% of the people would get full marks in this assessment.

All are 100 points, so you can't tell the difference between high and low strength!

Therefore, we must change our thinking and work hard to distinguish between high and low points.

I have to admit that Chen Fei does have a good physical training, so I can no longer compete with him in this direction, so I have to change my thinking!

Moreover, relatively speaking, physical fitness is not the area that Yang Dong is best at.

"Yes, I'll beat him hard in my professional studies!" Yang Dong quickly made a decision.

During the college entrance examination, his score was more than 700, but Chen Fei was only 630, and the gap was not average. From this point of view, it can be seen that Chen Fei is indeed not good at studying, at least not as good as him.

"Yes, just step on him to death in learning! I must let our group crush their group!" Yang Dong breathed a long sigh.

at this time.

Chen Fei is taking everyone to train vigorously.

He explained while demonstrating: "Please note that there are three ways to start a spiral ladder. The first is to start a pedal. The key points are to hold the ladder with both hands, one foot pushes the bottom bar, and the other foot pushes the ground to start. After starting, the legs push the ground and hang the lower bar, extend your hands from both sides into the ladder, turn your wrists to hold the upper bar, and pin the ladder or the bottom bar with your toes;

The second type is to start the run-up ladder. The key points are to stand behind the ladder, hold the lower end of the ladder with both hands, hold the ladder high above the head, then push the ladder forward with both hands, run forward with both hands, move the ladder upwards, and hold the ladder with both hands upwards. After running through the vertical part, one foot pushes the ground and jumps upwards, and the other foot steps on the bottom bar, and when swings back to the highest point, the legs push the ground and cross the lower bar, and the toes are different from the bottom bar, and the hands extend into the ladder from both sides, and turn the wrist to hold the upper bar;

The third type is to jump up and start. The key to the movement is to hold the ladder firmly at an appropriate height to face the practitioner..."

Chen Fei's explanation was very careful and had many demonstrations. In addition, he was not a teacher, so the students were not so afraid, so the learning progress was very fast, and everyone basically mastered it in a short while.

He trained a group of people to the death, and naturally he found a lot of attributes.

Life is just like this.

For a whole month, everyone spent the intense training and learning.

August is mainly military training, but not all physical training, but also professional knowledge learning.

However, because of our identity as an experimental class, our professional knowledge learning is different from that of ordinary students. It is not like ordinary classes that teachers arrange the teaching progress. There will be a teacher in each of their courses in the classroom, but he only teaches half of the time, and the other time is left for everyone to learn by themselves, and for everyone to ask questions. If there is any question, ask questions.

On that night, everyone gathered in the classroom and listened to the math teacher's lecture, but the teacher stopped talking halfway and left the time for everyone.

"Students have any questions to ask." The math teacher looked at everyone.

"Teacher, I have a question I want to ask you!" Yang Dong stood up first.

"What's the problem, you said?"

"Teacher, I would like to ask you a question of inverse transformation of binomial coefficients." Yang Dong said.

Reciprocal transformation of binomial coefficients?

The teacher was stunned when he heard this, and the other students in the classroom were also stunned.

The binomial coefficient inverse transformation...I don't seem to have heard of it before, right? What's the problem!

At this time, everyone's mathematics is still at the advanced mathematics stage. Most of the students in the classroom have already studied mathematics for half of themselves, and some of them are even more powerful, and they are waiting for the teacher to take the exam.

But even most of the most powerful candidates in the group of candidates seem to have never heard of the binomial coefficient inverse transformation!

So everyone was stunned.

After returning to his senses, many people were shocked: "Fuck, is Yang Dong's mathematical ability already so strong? This should not be the content of advanced mathematics? Is he already taught himself other mathematics fields?"

Swish-

Everyone looked at Yang Dong together.

But Yang Dong just looked at the teacher with a soft look and smiled.

At this time, the math teacher had already come back to his senses. He asked quickly: "What you are talking about is an issue that is extremely important in the research fields of disciplines such as combinatorial mathematics and analytical mathematics, which has attracted widespread attention from many scholars, right?"

"Yes, teacher!" Yang Dong nodded.

"Okay, then you tell me, what's the problem?"

"What I want to ask is the lehmer series identity," said Yang Dong.

He and the teacher asked questions and answered each other and talked freely.

The students in the classroom were confused when they heard this!

I don't understand!

We have just learned advanced mathematics, but Yang Dong... has learned combinatorial mathematics and analytical mathematics!

No wonder this guy can get such a high score in the college entrance examination!

It's really awesome - it's so damn!

There are really hidden dragons and creeping tigers in the experimental class.

Everyone couldn't help but sigh secretly.

The teacher communicated with Yang Dong for about five or six minutes, and the two of them suddenly fell silent because a question Yang Dong asked stumped the teacher.

The classroom was extremely quiet.

At this moment, Chen Fei, who had been sitting still, stood up: "Teacher!"

The math teacher turned his head and looked at Chen Fei.

"Teacher, I suddenly had a way of thinking about the issue you just discussed. Can you tell me?"

"you say."

"Under general circumstances, the sum of the reciprocal series of binomial coefficients is expressed in integral form. Obviously, the sum of the given series is not a closed form. So I think we can use the famous lehmer series identity to construct a new reciprocal series of binomial coefficients, first sort the lehmer series into a standard series, and then use the split method to construct a batch of new reciprocal series of binomial coefficients. Their denominators contain 1 to 4 product expressions of binomial coefficients, respectively. If we continue to use the split method for this function, we can get the denominator containing 5, 6, 7. ... The reciprocal series of binomial coefficients with p factors."

Chen Fei talked and said his thoughts.

The math teacher frowned at first, and after listening for a while, his eyes suddenly became bright and his face flushed.

After Chen Fei finished speaking, he immediately said, "Chen Fei, come up and write down your derivation process!"

"Okay teacher."

Chen Fei then walked to the podium, picked up the whiteboard pen handed to him by the teacher and started writing it.

In the classroom, the students were stunned again.

Yang Dong was also stunned!

Mom-Fuck!

I originally wanted to take this opportunity to show off my math talent and stomp the other party hard, so he silently studied combinatorial mathematics and analytical mathematics for several days in private, and found a question that could ask current mathematics teachers to show his strength.

If the incident tonight is successful, everyone will say this in the future, "Look, that's Yang Dong, a math freak, a freak who has asked all the math teachers."

But now...

I worked hard but made a wedding dress for others!

He asked the math teacher down!

But Chen Fei answered the problem-solving idea of ​​that question - the question he didn't know how to answer - was solved by Chen Fei!

But how is this possible?

Isn’t Chen Fei’s professional ability very poor?

Why is he so strong?

He could figure out all the problems that the math teacher couldn't figure out at once!

Did this guy become an alien?

Physical skills, he was beaten to the point of being completely beaten by Chen Fei. Now, even in terms of professional skills, he was defeated by the other party!

How can I pretend in the future - how can I fly!
Chapter completed!