Chapter 206: range


Lin Zhaoxi remembers that when she was not good at high school mathematics, she was afraid of encountering a function problem.
At that time, Lao Lin was still in a car accident, and she was dozing off every day. I feel that the so-called domain a is also good, and the corresponding law f is too abstract and difficult to understand. She sometimes looks at the subject and is not sure what the question is asking.
She is very kind of feeling at the time.
What she has been experiencing is like a huge function problem. Lao Lin’s car accident may be her
f(2)=
, but she doesn’t know what the f(x) resolution is.
Now, it is also a key variable in this function.
She came from reality and was very aware of the state of the function and the geometric image it painted. Rather, she knows the ending of what everyone is experiencing at a certain point in time.
What she always wanted to do was to change the pattern.
But it was almost the moment when she walked into the iron gate. She suddenly realized that she couldn't solve the "this question," and she couldn't change anything.
This idea is very philosophical thinking, involving the real meaning of the two worlds. Lin Zhaoxi realized this and put away her rushing thoughts and looked forward.
Yongchuan City Railway Station ticketing hall.
Lao Lin took the ticket from the ticket seller.
There are on the ticket -
K796
"17:42" "Yongchuan → Anning", she looked up at the huge clock hanging on the wall, and for almost half an hour, they will embark on the return journey.
If you can get home smoothly, does it mean that the specific time and place of the old forest accident has been changed?
The atmosphere of the train station was lively, and Lin Xixi bought two boxes of braised beef noodles.
She and Lao Lin stood in the standing and dining area, tore open the seasoning, inject hot water, fork with a fork, and waited nervously for the face to open.
The clock passed by, and she watched the clock from time to time.
The passengers poured into the waiting hall and lined up. The d198 ticket was prompted to jump green. She opened the noodle cover.
Eat two-thirds of the face, the passengers almost finished, d198 stop checking the ticket.
On the ticket gate display, k796 jumps to the previous one.
Lin dynasty began to snoring and snoring soup, Lao Lin came back to the toilet, ate a few mouthfuls, and put down the fork.
"Are you full?" Lin turned his head and saw that he had half of the noodles in his bowl and was shocked.
"I am afraid that you will not eat enough, Dad wants to give you a bite." Lao Lin said kindly.
"Are you secretly buying roast chicken?" Lin Zhaoxi sharply looked around, and surely, Lao Lin was carrying a bag of oil-paper bags.
Lin Chaoxi rushed to reach out and grab, Lao Lin took the bag.
Just then, the phone rang.
At first it was the vibrating sound of the cymbal, followed by the piano ringing that Laolin used to play. Lin rushed to grab the oil paper bag and suddenly settled.
The air was drained instantaneously, and there was no sound around it.
Lao Lin took out his mobile phone. Lin Chaoxi watched him connect to the phone, heard him pause, and said -
"Professor Zeng, hello."
Like a stone falling into the river, picking up layers of ripples, the noise suddenly poured in.
"Please take the passengers on the k796 train and notice that the train is about to start checking."
The radio screamed, and they just rang on their heads, almost overwhelming the voice of Lao Lin talking on the phone.
From the lips of Lao Lin, Lin Zhixi reluctantly discerned the general contents of the telephone.
"Yes, I am coming to Yongchuan, now at the train station."
"It's almost, still changing."
Finally, it was a pause of three seconds of thinking. Lao Lin moved to her and said, "Okay, then I am now."
Lin Zhaoxi grabbed the oil paper bag in a ridiculous position and looked nervously at the old forest.
"Why, eat yours, don't grab you." Lao Lin took the call and looked a little relaxed.
"Who is Professor Zeng, Dad?" she asked.
"The grandfather of the primary school Olympiad summer camp gave you a speech." Lao Lin, a pair of "you know why", look outside the car.
Lin’s heart sank again. She walked two steps to keep up, only to feel the sound of the ear rumbling:
Where are you going, I will check the ticket immediately.

"Sanwei University, they hope that I will go over the past, we will take a train back later."
She grabbed Lao Lin and, somehow, blurted out: "Don't go, let's go home?"
"What's the matter? Suddenly, I love the family?" Lao Lin still looked relaxed, but stopped and listened to her reason very seriously.
What should I say?
Say "I am afraid that you will stay in Yongchuan and you will not be able to go out", or "Will we go home and stay here for the week?"
The sudden phone call that Professor Zeng once taught was obviously related to the Lao Lin thesis. How could she let Lao Lin not go?
The ticket check prompts to jump green, and the gate begins to release.
Lin Zhaoxi looked back at the waiting room to prepare to leave Yongchuan's turbulent flow of people, knowing the huge function problem she encountered, and the limited value range of the problem.
She looked at Lao Lin and felt a powerful force pushing them into the established track, but at the end they could only say: "Go."

Sanwei University, the old campus.
There are large, dense evergreen trees on the campus, and the winter night is fascinating.
Lin Chaoxi and Lao Lin stood outside the mathematics department building and met Professor Zeng.
In the night, the father's hair is white, and it is very spiritual.
"Your daughter is so big?" Professor Zeng pulled out a from his coat pocket and asked, "Hungry, hungry, eat a girl?"
Along the way, the strings in Lin’s mind were tight, and she felt cold in her bones, so she took the girl’s head and said,
You thank you.

After a while, Professor Zeng took back the sight of Shantou and said to Lao Lin: "It is really your daughter."
"Okay." Lao Lin was very simple, took the from her hand, and smashed it in half.
"Receive your nightingale." He handed the donkey half to Professor Zeng, and the other half took a bite.
They walked upstairs and looked familiar, but Lao Lin was so casual to most people.
The dialogue between Lao Lin and Professor Zeng was not salty, and Lin was behind them.
Arriving at the door of the office, the people waiting inside let her lag. There are two professors in the Sanwei University College, who have seen two faces when she was in college.
Lin Zhaoxi realized that Lao Lin was invited to participate in the peer review before the publication of the paper.
I don't know why, Lao Lin sent the paper to Professor Zeng, and Professor Zeng invited Lao Lin to explain it personally.
In the winter night, she jumped heavily in her heart, nervous and excited.
In this case, of course she can't follow.
"I am waiting for you outside," she said to Lao Lin.
"Look for a warm place."
"Yep."

Office of the head of the Department of Mathematics.
The yellowed shutters have been pulled, and Lin turned a circle and returned to the office door.
Through the broken blade gap of the blinds, she could see two chandeliers in the office, and a printed stack of papers was placed on the table, but no one turned it.
The room in the office was full of smoke, with a full-faced blackboard wall, and the old forest stood in front of the blackboard.
In the winter night, there was a cold wind blowing through the leaves, making a very fine rustling sound.
Lin Chaoxi clenched the bag with a bag.
In the seat, Professor Zeng looked up.
He looked at Lao Lin, looking serious and serious, like saying - "Get started."

Lin Chaoxi put the bag on the ground, leaning against the wall of the office.
It was cold at night and the corridor was like a hail.
When she sat down, she shivered and turned her schoolbag in a hurry. She kept thinking about what would happen next, and she had not left the panic that was forcibly pushed to the established trajectory by fate.
She found a few manuscript papers with the handwritings of Yan and Lao Lin from the bag, a picture book she took with her, and her pencil case.
The winter night was silent, she looked up and could see a bright moon hanging over the city, bright and bright.
She sat down on her and she opened the book.

In the office, only the sound of reading papers and smoking is very light and slow.
The smoke is bigger.
Lin Chaoxi spent a lot more time than usual, after writing a practice book. Her hands were frozen and stiff, but the mood seemed to calm down a bit.
She looked at the office again.
There are already half of the chalk on the blackboard, but the atmosphere is stagnant. It seems that some people are asking questions, the questions are very sharp and sharp, and everyone looks at the questioner.
Lin Zhaoxi looked at Lao Lin.
Her father is no longer young, with white chalk on his fingers, and his cuffs are gray.
His eyes are quiet, but he is firm and determined.
After listening to the question, he did not speak, replaced by the chalk words appearing on the blackboard.
One line, two three, three lines...
Everyone frowned for a while, and then showed some relaxed expressions, and seemed to realize that this is a perfect solution.
Professor Zeng took a smog and narrowed his eyes and seemed to say - "Continue."

Lin Chaoxi sat down again and turned the book back one page.
The hour hand went round and then it was another circle.
The ashtray on the table was full of cigarette butts, and the new one was extinguished.
The blackboard has been wiped several times and all the irregularities are about to be filled.
Lin Zhaoxi still looks at the problem on his knees -
(2): Write the adjacency matrix of g.
She thought about it and continued to write it.

It has been said that the most important achievements of mathematicians are mostly made before they are 40 years old.
The mathematician after the age of 40 is no longer useful.
Today's Lao Lin, just stuck in this pass.
In the office, one problem after another was thrown and then solved.
Many mathematicians have been alone in the dark for a lifetime. How many people have the privilege of experiencing the moment when the light pierces the darkness?
The landscape lights on the campus are completely extinguished, and the cedars are swaying in the cold wind.
Lin Zhaoxi put down the pen, she put her palms together and sighed, and sighed.
Just then, there was a soft bang in the space.
Lin slammed his head and the light flowed through the doorway into the corridor.
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