MTL - Genius Fundamentals-Chapter 148 answer

Bao Xiaomeng’s life became a daily garage, Internet cafe, and tea shop. In the hot summer, she stood on the side of the road and sent out flyers, uniformed apron pockets, always stuffed with a piece of paper.

The above may be an English text or a Chinese ancient poem. Every time she sends something, she has a word in her mouth.

After seeing such a scene in Lin Xixi, she never stopped her.

Time keeps moving forward.

For Lin Xixi, she finished the whole method of numericalmethodsengineeringwithpython, successfully running the last comprehensive book on the book; doing two-pass probabilistic post-book exercises; and on a piece of paper, machine learning The theoretical classification and the formula algorithm to be used are completed.

The completion of the summer camp, the final assessment.

——

The sun is hot outside the window, the trees on the university campus are green and beautiful, and the light is like the filaments pulled out of the sticky sugar liquid.

"The last exam, I hope everyone will take it seriously."

Lin Chaoxi looked at the podium, and Zhang Shuping stood there.

In fact, it has not been a long time, and the primary school summer camp is still vivid.

She can also recall the burning breath when she rushed upstairs. She stood in Zhang Shuping's office and whipped up her courage to say those words to him.

Now, the final exam of the training team is about to begin, and her mood seems completely different from the time.

I don't feel very difficult or relaxed. I don't think I have to take the first exam or think that I have to surpass other people. The mountain that she wants to climb is never called Zhang Shuping.

The test papers were sent down like a snowflake, the electric fans screamed, and the test papers were also fierce.

Lin Chaoxi took the test paper and took out the automatic pencil and pressed it twice.

If she had to find something every time she came, she now seems to have a long distance from finding that thing.

After all, before the primary school went back, she had clearly foreseen the moment she left. And now, she doesn't know when she will leave.

But it doesn't matter, be patient and try harder.

——

There were only five questions in the final exam, but the exam took a whole day.

After all, it is a test paper for the difficulty of high school Olympics. Various solutions are emerging in an endless stream, which is difficult to measure with standard answers. There will be no more kind of elementary school. After this class is finished, the results will be issued after one hour.

The next day, Zhang Shuping and Jie Ran appeared in the classroom with dark circles.

Lao Zhang threw the test paper on the table and the whole classroom shook.

"Today is the last day of summer training. I will finish this test paper, and in the afternoon you will be able to pack things home."

When he finished, he picked up the chalk and spread out the test paper: "The first question is a familiar trigonometric function. Some students have made it, some have not, but it doesn't matter. In your answer, I saw an unconventional solution. We asked Aguang students to talk about it."

Aguang sat in his seat and rushed to the stage without excitement. Instead, he looked at Zhang Shuping very sluggishly. Most of the other students in the classroom were also responding.

"what happened?"

"Teacher, you... why don't you send a test paper?"

"Do you not report scores?"

"What are the achievements?"

“Is the score important?” Zhang Shuping asked.

Everyone in the class took a breath of air, and the naughty Pharaoh asked directly: "Who are you, returning Lao Zhang to us?!"

Lin Zhaoxi smiled with a low head and wrote proof of the convergence of the em algorithm. In this free time, she usually makes similar derivations. The same thing is written more times, and there will be different gains.

Zhang Shuping’s voice sounded: “Is it important to score the results?”

When the heart was shocked, Lin looked up and did not understand why Zhang Shuping suddenly called her.

"Alright... okay?" she said.

"Respond carefully to my question."

When Zhang Shuping was serious, he felt very strong. Lin can not help but stand up.

The whole class is silent.

Lin Xiangxi thought for a moment: "I used to think it was very important, for example, in elementary school, because if you can't test others at that time, you will be driven away by you..."

"now what?"

"Now I really feel okay."

"Why is it okay?"

"Probably because I can't get the first place?" She made a joke.

The students at the bottom laughed at the right time, and the atmosphere became easy and harmonious.

"But this time, you took the first test." Zhang Shuping slowly opened his mouth, his voice was not loud, but he pressed all the smiles.

Lin Zhaoxi suddenly stopped.

Zhang Shuping looked at her: "A rigorous argument, an impeccable answer. Five major questions, you are the only full score in the class."

As the middle-aged people are calm and serious, the whole classroom is in a silence that has never been seen before.

"What do you want to say?" Zhang Shuping asked.

I don’t know what to say.

Once at the door of the toilet, she said to Aguang - "It will be better if you try to surpass you next time."

But now, I really did it. Aftertaste, she seems to have nothing to say.

It feels quite easy, she only has this idea.

She shook her head and smiled calmly.

"Come up and take the test paper." Zhang Shuping said.

The classmates around me let go, Lin is still hot and sweaty, and there is a little wind blowing in the window.

She stood for a while, wiped her sweat with her back and walked over.

——

As before the end of the last training session, she ran to the library to borrow books that afternoon.

She moved a stack of books out of the reading room and put them on the borrowing table. The teacher swiped the barcode, swept the campus card, and finally put the card in the stack of books and pushed it back to her.

"Thank you, teacher."

Lin Chaoxi took out the card and put it in her pocket. At the moment when she was ready to pick up the book, she suddenly saw the pile of newly returned books after borrowing the platform. There was a seemingly broken "Probability and Mathematical Statistics".

Her heart skipped a beat: "Teacher, can I see the book?" she pointed.

The teachers in the library were very cold, and they did not send out a book and threw it to her.

The worn cover, the curled inner page, looks very chronological.

She has inquired many times before on the library computer. The "Probability Theory" on this old forest book list has always been a loan state.

It’s really good to be there before she wants to go.

She flipped a few pages and there was a handwriting of Lao Lin.

"Teacher, I have to borrow this one," she said with a smile.

——

Hongzhang New Village, resident library.

At 9 o'clock in the evening, Bao Xiaomeng came home from work, and Lin Zhaoxi was watching the book he had just borrowed.

Bao Xiaomeng carried a small bag and pressed directly in front of her.

Looking down, there is a cup of milk tea, half sugar and pearls.

"Definitely believe in things." Lin Chaoxi pulled out the straw, puncture the seal, and sucked two big mouths.

"Don't drink it all, let's drink together, and half of it is mine."

Bao Xiaomeng picked up another straw very painfully.

Her eyes were fast, she took out the straw in her hand and changed it into a test paper.

"Hurry up and do the papers. You can only give it to you after 80 minutes of mathematics simulation."

"It's so hard." Bao Xiaomeng immediately pulled her face down.

"hurry up."

"Ok."

The girl took off her uniform and picked up the pencil.

The interior is quiet and peaceful.

She just happened to see a very interesting place. The blank space on the book was full of intricate derivation. It seems that there are several scholars who are discussing the probability formula of gambling winning.

——How do you always earn money when you gamble?

At first, I don't know who raised this question.

Lin Xiangxi remembered what he had said that day, and his heart trembled and continued to read.

Next, someone deduced a new formula for winning the probability, and simplified the problem of doubling the complex odds, using coin toss to analyze.

After substituting the public notice, it was found that if 10 yuan was used to gamble the coin, the probability of doubling the amount and the probability of bankruptcy would be five or five.

This is very easy to understand.

And once you make a hand on the coin, the probability of throwing it to the front increases by 3%, and the probability of winning will increase from 50% to a staggering 77%.

Lin Chaoxi was silent.

There are a few lines of words written on the page. Because of the long time, it is very dim.

——The probability of a normal player playing 21 points, probably at p=0.495. If you remember the card, the winning face will increase to p=0.51.

- Then, increase a little bit to win?

- Are you stupid? This is gambling, yes, substituting the formula, as long as you increase the chance of winning a little, the probability that your bet will double will immediately become 99.75%. That is to win the game without losing.

Still belongs to the old Lin's handwriting, she is used to the naughty tone, the knowledge of the whole book she is already familiar with, but this passage makes her feel as if she perceives something.

Time does not know how long it has been.

"I am done!" Bao Xiaomeng yelled.

Lin Chaoxi turned the book over a page and returned to God from the world of probability.

She changed her red pen, took the test paper, pressed it on the book, and simply corrected it.

From filling in the blanks to choosing, from calculation to proof.

The check mark or the check mark, the finger point on the last conclusion, completely correct, she hit the last hook.

She also squatted for a while before turning to the front, writing a red "100" after the initial score.

Bao Xiaomeng is incredibly "I am all right?"

"Yeah." Lin Chaoxi opened the paper and handed it back.

At the moment when the roll was removed, she saw the old and new conversations on the pages of the yellow pages.

- That is the same every day, and if you increase the probability of a small amount, you will double your unknowingly and become a winner in life.

- A consistent effort, not a slack life. The small accumulation of each day will determine the final result, which is the answer.

This is a very small moment, the desk lamp is dim, and the noise of the street is outside the house.

She seems to have returned to the sunset in the west, she stood there and asked: What ordinary people are so poor, how to achieve this probability?

"I don't know, but it should be ok, but if you know the answer someday, please let me know."

This is what Ming said.

But the last sentence.

The ink is still very bright and the writing is so familiar.

Lin Chaoxi couldn't help but tremble gently. This line of words was not written by Lao Lin, and it was clearly from the shackles.

She couldn't guess when she wrote this sentence, perhaps the first time she was training, or it might be before she left.

But this line of words clearly and clearly proves that he knew the answer early, but at that moment, he chose to lie to her.

Yeah, how could you not know?

There are bicycles running over the road.

Many scenes are overwhelming.

At the desk in the house, the lights in the classroom, the cold floor tiles in the library, and the airy summer night of the rental house, she fell asleep in the telephone booth, and woke up with a face full of bags.

From the running of the primary school summer camp to the moment when she recited the documents in the junior high school class, so many sad days, the moment of constant encouragement for themselves, the difficult situation that can be sustained with the support of Bao Xiaomeng.

I didn't think there was anything at the time. Looking back now, I was so bitter that my throat was sobbing.

Look down again, the table is still that page.

A consistent effort, not a lazy life.

The answer like a joke.

So light and so heavy.

It comes from true genius.

"What happened to you, I took 100 points, are you not happy?"

Bao Xiaomeng's voice is very low.

Lin Zhaoxi looked at the girl in front of her and looked at her math test paper. She had just approved a simple 100 points.

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