March 20th.
Huaqing University.
Department of Mathematical Sciences.
Freshman class.
Cui Feng, the teacher of the "Mathematical Analysis" class, wrote a question on the blackboard.
The problem is to find the Taylor expansion of the function f(x)2xsin /1-2xcos +x^2 at x 0, where is the constant, and calculate the integral (
Under the podium, only five or six students raised their hands.
Cui Feng looked around, pointed to a female student, and said, "Zhang Shiqin, you come up to answer the question!"
"Okay!"
Zhang Shiqin stood up and walked onto the podium.
Under the watchful eye of the class.
She picked up the chalk and wrote down the steps on the blackboard step by step.
[If cos 1, let x1 cos + isin, x2 cos - isin, then x1, x2 are the two roots of 1-2xcos + x^2 0.] So there is: 1/1-2xcos +x^2 1/x1-x2(1-1/x-x1-1/x-x2)......]
A few minutes later.
After Zhang Shiqin finished writing the last formula, put down the chalk head, patted the chalk foam on her hand, and sat back in her position with an indifferent expression.
Cui Feng looked at the more than 20 lines of solution formulas on the blackboard and nodded appreciatively.
The question he came up with involved the Taylor formula.
In the Mathematical Analysis course, it is listed as one of the most difficult areas to understand.
Such a difficult question. 23 are eligible for the finale of the final exam.
And Zhang Shiqin, whose previous grades were ranked lower in the class.
Huaqing University, the champions of all provinces are everywhere, and all of them are the pride of the sky.
compared to others.
Zhang Shiqin comes from a small place, and although she was admitted to Huaqing University, her comprehensive ability is worse than that of other students.
Now she can answer the question.
Obviously, Zhang Shiqin works very weekdays.
Cui Feng likes such students very much.
At the beginning of the freshman year, some people are very dazzling, and some people are very ordinary.
But just work hard.
Students like Zhang Shiqin may be able to surpass the previous "provincial champions".
Under the podium.
Zhang Shiqin was in good spirits.
In college courses, the pace of lectures is generally much faster than that in high school.
In high school, it was a few classes that taught a chapter.
But in college, it's a few chapters in one class.
The speed of lectures has become faster, which is a great challenge for the students who are listening to the lectures.
When she used to study in Langya Town Middle School, she stood out from the crowd and was much smarter than other students.
And after coming to Huaqing University to study.
Students who are smarter than her abound!
Many of these students are provincial champions or city champions.
They are smart and quick learners.
In time.
Zhang Shiqin's results lagged behind them a lot.
However......
It starts after the Chinese New Year.
She found that her learning ability had increased exponentially, and her ability to comprehend knowledge had also improved rapidly.
In itself, Zhang Shiqin worked very hard.
Gradually.
Her grades jumped from the bottom of the class to the top of the class.
As the first student in the history of Rainbow Village to be admitted to Huaqing University.
Zhang Shiqin is actually very arrogant.
Just go through some more precipitation.
She is confident that she will be the best in her class and even in the whole school!
......
The other side.
Kotojima Institute of Technology.
Inside the basketball arena.
A member of the varsity basketball team is playing a 5vs5 intra-team game on the court.
Fighting, an accident was born.
One of the players accidentally broke his foot and was unable to continue playing.
After discussing for a while, the players on the field decided to let Wang Ming, a member of the "prospective school team", come on the field and make up the numbers.
Wang Ming's basketball level is very good.
But it's still a little short of entering the school team.
After Wang Ming came on the field.
Intramural competitions continue.
As soon as he got on the court, Wang Ming stole the opponent at the three-point line, and then ran all the way to the frontcourt.
Facing an empty frontcourt.
Wang Ming dribbled the ball straight to the basket at a very fast speed, kicked the ground with his left foot, and the whole person jumped high, and dunked the ball into the basket like a thunderbolt!
See this scene.
The members of the school team were stunned.
What's the situation?
Last semester, wasn't Wang Ming still unable to dunk?
How after the winter break.
Wang Ming is so easy that he can dunk?
With a hint of curiosity.
The crowd continued to play.
Two rounds later.
Wang Ming dribbled to the outside of the three-point line.
I saw him change direction, quickly shake off the defender, and rush to the basket.
At this time, the opponent's center was already guarding the basket and preparing to block Wang Ming.
Wang Ming faced the 2-meter-tall center forward.
When he came to the inside, he kicked the ground with both feet, pulled up sharply, and dunked the ball into the basket against the opponent.
Facing a powerful impact.
The burly center was hit and fell to the ground with a thud.
At this moment, the arena was silent.
Everyone was shocked by Wang Ming. (If you read a violent novel, go to Feilu Novel Network!)
They all want to know, why did Wang Ming become so strong?
Next.
Wang Ming completely dominates the court.
Crotch dunks, 360 dunks, tomahawk slams, ultra-long-range three-pointers, and skillful dribbling skills are all at his fingertips.
After the game. []
The captain of the basketball team invited Wang Ming to join the school team.
Joining the basketball team has always been his goal.
In this regard, Wang Ming readily agreed.
As the champion of the Rainbow Village "Village BA Basketball Game".
Wang Ming has been practicing basketball hard.
Since February.
He found that his basketball level had changed dramatically.
His flexibility, coordination, explosiveness, bounce, dribbling, shooting, and everything he did was impressive.
This also makes:
Wang Ming's current basketball strength not only reaches the threshold of the school team, but also can be called the "trump card" of the school team!
......
The other side.
Huangdao District Hospital.
Neurosurgery operating room.
Chief physician Xu Chuan is performing a craniotomy for a neonatal giant intracranial hemangioma.
The patient is a newborn who is only 17 days old.
The skin of his right half of his head and face, Huns, bilateral armpits, and lower limbs has many irregular red patches.
This symptom is medically known as Sturge-Weber syndrome, also known as cerebrofacial angiomatosis.
At the same time, the patient had a large hemangioma between the cerebral hemispheres on both sides.
Hemangioma may rupture at any time, and once it breaks through and ruptures, there is a massive hemorrhage in the brain, and it is almost impossible for the child to survive, so surgery must be performed as soon as possible.
After the hospital weighs the pros and cons.
It was decided to let Xu Chuan, who has an experience, be the chief surgeon.
The neurosurgery team and anesthesiologist work together.
In the operating room at the moment.
Xu Chuan calmed down.
He first selected the scalp incision site of the temporal approach and performed gentian violet solution fixation.
He then made an incision to the scalp, separated the subcutaneous fascia tissue, as well as the adipose tissue, and performed a strict hemostasis.
Then, Xu Chuan used a skull drill and a milling cutter to open the bone flap, suspend the dura, fully stop the bleeding, open the brain tissue, and find the hemangioma inside under the operating microscope for lesion cleaning.
He observes carefully, unraveling and separating layer by layer.
With many years of surgical experience and superb surgical skills.
Xu Chuan successfully isolated the hemangioma and completed the cleaning work.
After he had stopped the bleeding sufficiently, he prevented the drains from the inside to the outside, layer by layer, and performed tight sutures.
Time passed quietly.
The whole process took 8 hours before I knew it.
After the surgery.
The medical staff gave a thumbs up and cheered.
All of Dr. Xu's surgeries were completed with ease.
Such a brilliant medical skill.
It's really rare!
At this time, Xu Chuan also took a deep breath.
Today's operation 463 is the most difficult operation in his career.
If the surgical process is slightly careless, the consequences are unimaginable.
The good thing is that everything goes well.
My family knows my own business.
If it had been his previous medical skills, he might not have been able to complete this operation.
But since the Spring Festival this year, he doesn't know what's going on.
His theoretical ability and practical ability have reached a new level.
And as the surgery becomes more and more difficult.
Xu Chuan had a sense of fluttering that incurable diseases were not a problem.
It's as if there is no disease in the world that can stump you!
......
Zhang Shiqin, Wang Ming, Xu Chuan, what I don't know is.
They have a talent for learning, a talent for basketball, a talent for medicine.
Now there is a villager talent doubling aura blessing.
Blessed by an aura.
The original talents of the three of them have been doubled.
......
Something similar.
Appearing in various places and in various fields.
The Rainbow villagers, as if they had suddenly opened their minds, made rapid progress in their respective fields.
For example, there are middle school students who show great talent for painting and win the championship of the painting competition.
For example, there are high school students who show great talent and are favored by the school's football team.
For example, there are programmers who have shown great programming talent and written super-high-quality code.
For example, there are art students who show strong artistic talent and have the ability to sing and dance.
For example, there are college students who have shown great academic talent and written super-high-quality academic papers.
For example, there are self-employed individuals who have shown great social talent and interpersonal skills that are beyond the ordinary.
on this.
They themselves are confused.
What's going on?
Fang Yun, on the other hand, was not surprised at all.
Rainbow Village is blessed with the aura of doubling the talent of the villagers.
Over time.
The talent they show will grow day by day, and they will gradually unleash their potential to achieve more excellence in their fields.
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