Chapter 012: Learning Makes Me Happy

Yang Kewei bypassed James and went directly to the difficulty of Nikolai, and Yang Kewei's progress in mathematics was significantly ahead of Lan Jie.

Everything is different, and Yang Kewei is really my Ajie's strong opponent.

Lan Jie frowned, and the pressure was great.

It's stressful, but it's not impatient.

Infinite series is an indispensable and important part of calculus, and the transition from inverse trigonometric functions to infinite series is a step-by-step process that follows a fixed set of learning rules.

Lan Jinhui's bookcase contains a large number of mathematical materials, and Lan Jinhui himself is a mobile bookcase.

Lanjie has no shortage of information and has a top science tutor.

Blowing up Yang Kewei is just a matter of time.

Spend more time on math, and you will be able to blow up Yang Kewei.

'Mathematics, I promoted you to the second sister, you are the second-in-command after the big brother in physics, you have the special treatment of being by me for 113 minutes in a row, please don't let me down. ’

Lan Jie looked at the time, at 23:23, I don't have time to continue to work on mathematics today, and I will have an in-depth discussion with the second sister tomorrow.

Hey!

Ha!

Lan Jie sat firmly on the edge of the bed, practicing dumbbells up and down with his left hand, and operating the mobile phone up and down with his right hand: "Have you slept?"

Octopus Bucket: "Lie in bed, go to sleep immediately." ”

Hey, it's wrong.

Zhang Yutong's WeChat nickname is Yutong, and Zhang Yutong's nickname is Yutong.

In order to form a clear differentiation, Lan Jie has long remarked that octopus bucket = octopus yutong.

At this time, in Lan Jie's WeChat, the dialog boxes of the octopus bucket and Yutong were next to each other, and he slipped his hand and sent the wrong person.

Thinking about it carefully, it is actually not wrong, and it is also appropriate to care about whether Zhang Yutong has slept.

Ranger: "Well, get some rest and good night. ”

Octopus Bucket: "Inexplicable greetings, inexplicable goodnight, so strange." ”

Ranger: "Yesterday I asked you to watch today's movie and was denied, so I only dare to have good night today." ”

Octopus Bucket: "Something did happen tonight, I just came back from my grandfather's house." You see, this is my grandfather's puppet, it's beautiful. ”

Ranger: "Krypton with a bunch of purebred puppets, your grandfather really knows how to play." ”

Octopus bucket: "Old comrade is lonely, raise a few cats to relieve boredom." ”

Ranger: "Swim about one wave tomorrow? Don't you want to learn butterfly, I'll teach you." ”

Octopus Bucket: "I'm not available tomorrow." ”

Ranger: "Reject me again?" Do you have a man out there?"

Octopus bucket: "Two days after tomorrow, the all-day English class, Runze Building New Oriental, just opposite Yangda, welcome to check the gang." ”

Ranger: "I've reported to New Oriental, understand, and make an appointment another day." ”

Zhang Yutong is eager to improve, and Lan Jie is happy for her.

Ranger: "Did you sleep?"

Yutong: "I'm in bed, I'm about to sleep." ”

Ranger: "Does your stomach still hurt?"

Yutong: "Much better. ”

Ranger: "Can you video? I'm going to make sure you're absolutely safe." ”

Yutong: "I'm safe, it really doesn't hurt anymore." ”

Ranger: "How many milliliters of hot water did you drink? How many degrees of hot water?"

Yutong: "Who is going to calculate this? Anyway, I drank hot water." ”

Ranger: "Tomorrow Saturday, your school has classes, you hurry up and go to bed, good night." ”

Yutong: "Ann." ”

Strike!

0:00.

Ranger threw himself on the bed.

Ooh!

Five o'clock in the morning.

Ranger woke up just in time.

His current biological clock is accurate to the second, and the mobile phone alarm clock has lost its meaning.

There is an agreement between Lan Jie and the second sister of mathematics, and a good day starts with the second sister of mathematics.

While Leibniz's calculus was more fruitful and easier to apply, Newton's calculus was more rigorous.

There are many similarities between Newton and Leibniz in history, both of whom were versatile and knowledgeable all-round giants, and the two were also famous old bachelors in the history of science, who never married.

From a genius boy to a noble dean, Leibniz talked to many girlfriends, including royal daughters and aristocratic young wives, and he was a single man all his life, perhaps because he had never met a real woman.

From a country boy to the light of mankind, Newton's relationship history is a mystery for the ages, and Newton may not marry because he never had a girlfriend.

The core combination of Newton + Leibniz, supplemented by Taylor, McLaughlin, Bernoulli and other auxiliary brothers, formed the calculus we learn today.

Lagrange has a very special status, he is a lone ranger knight, f(x+h)=f(x)+hf'(x)+h^2/2!f''(x)+...... The derivative function of Lagrangian is both flexible and rigid, and milk can be output.

The derivative of physics is represented by dots, and the derivative of mathematics is apostrophe.

Lan Jie must admit that mathematics is the core, there is no point without apostrophe, and without the help of the second sister of mathematics, there will be no carry of the physics big brother.

The second sister of mathematics is quite satisfied with Lan Jie's attitude, the little brother is so powerful, the little brother used geometric drawing to get the arcsinx series, Bo'er~ Sister loves you.

"Second sister, don't be like this, people are embarrassed. ”

The experience of learning physics is not the same as learning mathematics, and the learning methods are also different. Lan Jie only did one thing today, from five o'clock in the morning to more than seven o'clock in the evening, he and his second sister in mathematics all day.

The eldest brother in physics, the second sister in mathematics, and the third brother in physical education.

There is no change in the rankings.

The time for moving, going to the toilet and eating is compressed to the extreme, and Lanjie's self-study at home is extremely efficient.

"Yes, I've had 13 hours of studying, fulfilling, happy, satisfied, proud!"

[Balance of 13 Medals of Honor.] 】

'Single Draw Single Draw!'

Ranger is full of anticipation.

A giant like Newton will definitely not be of 1-star quality, and Leibniz will start at least 2-star, right?

The entire Bernoulli family is at least 3 stars?

This family is too strong, and the combat power of the Bernoulli Heavenly Regiment is extremely terrifying.

But when it comes to individual family members such as John, Nikolai, James, and Daniel, it's hard to say how many stars it is.

"Possessed by the Emperor, draw me another 1-star card, I really want to combine 2 stars!"

[Start the single lottery procedure and deduct 13 medals of honor.] 】

[Unfortunately, I didn't draw a card.] 】

[Medal of Glory for Balance: 0.] 】

'!'

'It's dark?'

'Not anymore?'

'No more critical hits?'

The rivers and lakes are treacherous, mines are buried everywhere, boys are silent, and girls are in tears.

Lan Jie's heart was broken, his lungs exploded, his liver exploded, his spleen ruptured, and his kidneys were deficient.

My medal, gone......

I studied hard for 13 days and sweated......

Sure enough, there is a risk in soloing.

What is the winning range of a single draw?

This is actually a very complex problem of probability, and it is by no means as simple as early CD.

There was an older brother in the Bernoulli family who specialized in probability theory, and Ranger found this brother in his father's bookcase--- Jacob Bernoulli.

"Jacob Bernoulli's gambling game theory is so profound, this book is ninety percent new, which means that Mr. Lan has not read this book much. ”

In order to fully understand Jacob Bernoulli, it is necessary to add a lot of foreshadowing knowledge, which is not an overnight effort.

Lan Jie took his father's faculty card and went to the sophomore cafeteria for dinner.

Professor Lan Jinhui went to the capital yesterday to attend the academic conference, and Director He Yuyi also went to the capital to investigate the preparation progress of the capital-Zhangjiakou Winter Olympics.

After retiring, He Yuyi became a director of the sports department in the province, and the winter sports have nothing to do with her province, which has no snow all year round in this economically strong province in the south, and the mass base of ice and snow sports is relatively weak, and there has never been a famous ice and snow athlete.

The winter project in our province is weak, but we can OB it.

So Director He went to the Northern OB to learn the advanced experience of the Northern Sports colleagues.

The university campus is a small society, where you can eat, drink and have fun, and a faculty card can do everything. Lan Jie walked to the door of the sophomore cafeteria and happened to meet Yang Kewei.

"Kewei, you are also a left-behind child?"

"My parents went to my aunt's house tonight, and I can settle dinner in the cafeteria. ”

"Let's go together. ”

Lan Jie and Yang Kewei entered the second cafeteria together, and the height of the two sophomores was more than 1.8 meters, which was higher than the average of college students.

The bodies of the two are precocious, and their childishness is not obvious. Stuck in the crowd of college students, saying that they are freshmen and sophomores, there are also many people who believe them.

"My name is Abagner, not Abagnell, but Abagner. ”

Yang Kewei said a sentence in English, and he watched a movie on his mobile phone while eating.

"Spring is here, and the Serengeti savannah is full of life, but it is also full of dangers. ”

Lan Jie was watching a documentary, and his habit of playing with his mobile phone while eating was not good, this head was opened by Yang Kewei, and Lan Jie was forced to follow suit.

Drip!

Lan Jie's phone rang, and he clicked on the message and glanced at it.

"Applejack, who's that?"

"Yutong. ”

"Which Yutong?"

"Zhang Yutong. ”

"Which Zhangyutong?"

"Zhang Yutong from our class. ”

"What is Zhang Yutong from your class looking for you?"

She said that she had just finished taking New Oriental's class, had not eaten yet, and was hungry. ”

"Brother, put more effort into studying, you have a smart brain since you were a child, and your potential is more than that. Yang Kewei patted Lan Jie's shoulder, and strode away.

"Yang Kewei, you are really my life coach, Mr. Yang will walk slowly and invite you to dinner another day. Lan Jie smiled, he replied to Zhang Yutong and asked Zhang Yutong to go to the porridge noodle shop outside the small door of Yangzhong.

From eight o'clock in the morning to eight o'clock in the evening, Zhang Yutong went to English cram school all day, she was hungry and devoured, eating several catties of food at one meal, without caring about the image of a lady.

"Such an amazing amount of food, Zhang Yutong, what have you experienced at New Oriental today?" Lan Jie had never seen Zhang Yutong who was hungry to this extent, once the girl was in full swing, the boy who invited her to eat was under great financial pressure.

"I've heard that hunger keeps people awake, so I only ate two biscuits at noon. Zhang Yutong finished pouring a bowl of porridge and eliminated the last piece of pork liver at the bottom of the bowl.

Lan Jie took a sip of free tea, and he asked with concern: "Is the hunger strike really effective? ”

Zhang Yutong took out a tissue to wipe his mouth: "Studying makes me happy, my body or something, eat more at night." ”

"Zhang Yutong, what are you studying at New Oriental?"

"IELTS. ”

"Going to study abroad after high school?"

"There is this idea. ”

Zhang Yutong, this guy is very planned.

What about me?

Rangie asks himself, what is my Applejack's goal?

Ajay's goal is to promote the building of a community with a shared future for mankind.

"Eh, I've eaten so much? Lanjie, you haven't eaten anything, you can't be invited to this meal. Pretty girl, pay the bill. ”

"Didn't you say I'll invite you? The owner and clerk of this shop all know me, Zhang Yutong, you do this, I'm very undignified." ”

"Brother, a little less routine, a little more sincerity, OK?"

"OK, then you pay. ”

"Lan Jie, you came to eat with me when you were full, delaying your study, right?"

"Zhang Yutong, you know that I have dinner and ask me out to eat, don't you know if you delay it?"

"You're still coming, you have the right to refuse. ”

"I'm here because I want you to know that I care about your feelings. ”

"Tut-tut, super touched. ”

"Isn't it supposed to be humble?"

"Huh...... Lanjie, one thing to say, which university or universities is of your choice?"

"My dad graduated from the Institute of Science and Technology of China, my sister studied at Yan University, and after my sister was sent to Yan University, I really wanted to go to Shuimu Institute to study. If I go to the Physics Academy of Mizuki University, our Lan family will have the three strongest physics cards in China. ”

"The attributes of Haidian Men's Technical School match well with Lanjie's attributes. ”

"You people are so boring, all day long, diss my big water wood, I eat your big water wood, why don't you diss Xiao Yan big ? There is really something wrong!"