In the end of 1998, I came to Nanjing.
On the first step in Nanjing, I like to get on the city, the lush trees on the road, and some are somewhat melancholy, there is no aristocracy, and the PPMM on the bus.
I have almost anticipated that life will be tightly linked to this city.
However, when I just saw the boss, I was still disappointed. Even the boss who always thought is to wear a Zhongshan installed, combing the hair unresolved, and the old man is serious.
but. . . However, he completely followed the opposite of my imagination, loose shirt, messy curled black and white hair, constantly transforming the posture, such as grabbing the sock, and scratching the hair again.
But there are still some exciting things. In addition to the three brothers, there are 3 teachers, although the color is flat, but even the students in the classmates are the most, the boss is a pair of pupils.
At the time of mathematics, the graduate student was less, and there were 16 grades, 2 of them. The five all in the dorms are all basic professional, and the old two is actually ranked. It is really ft.
I saw a giant PP mm when I was started to pay a lot. I have been unforgettable.
Then start the meeting, the counselor has a little mother-in-law, but a good person.
I haven't used it for a few days, let us buy textbooks, rubbing theft, 10 yuan, and a collapse.
The first semester opened two classes, one is a modern analysis, Rudin's book, and the other is near generation, Jacbson. Books are very good books. The analysis of the doctor w on graduated, the proud disciple of the department, because it is a bit, some people say he like Her
The zombies inside OS 3, then we remembered him when we play this game. How is this public, there is no impression, because the occasion is basically
never heard before. The things in the book are basically this scientific, there is nothing interest, just occasionally on the quantity of the coulens.
It is a small celebrity in the line, which is very surprised. Algebra is our young and beautiful teacher D, this public class is simply letting FT home, from class to get out of class, the textbook has never played
Opened, the mouth is suspended, the decommissioning, the speed is so fast, as if it is firecrackers. The homework is more, he can not open the book and then say the title on the book.
Which page is. This public's class is even more unaaches, and even the hearing has always been very bad. It has always thought that the album is very tested, and D's class is even pushing this class.
To the tedious pole.
Then, even strongly asked the boss to make a professional class. So the boss's Logic for Applications written to the occasion of Shore & Nerode. Two people are a teacher's relationship, all the big cows, it is said that Shore is more wronged, Nerode only wrote this book, and
Shore has not adopted it, but still hangs his name, who is it to knead?
This book is written to CS, it is easy to understand, and it is more interesting with CS view. However, more interesting is the appendix of the book, which lists all logical readings before 97 years. Shore's consciousness is really admired. He almost made a comment on each book, and the literature after reading is basically in accordance with it.
The proposal for this book is done.
But this book is the nature of the door Introduction. I spent a month, I have been finished, and then ask the boss to find another.
The boss seems to be a bit impatient, let the couple watch cutland's computability.
This is another recipient entry reading that is written to CS. The book is really written, the CS is very strong, and it is also very rigorous. It is very easy to see this book.
Because I have been interested in the collection, I am sneaked, and I will find Kunen's set theory in accordance with Shore's suggestion.
read. Now think about it, I am afraid, I really don't know the highland thickness. Kunen's book is excellent, but for a logic background, look at his book is almost look at the book.
. The absoluteness in it, the relativity makes me dizzy, and I have no strength to see half. But the appandix in the first chapter and some Remark in the book is deeply attracted to me. The author is very paying attention to the philosophical background of the agreed, and the development of the collection theory is very good, and the text is delicate.
. I saw this book twice, almost no big gains, I have some interest in Plato's philosophy, to
Looking at his book.
I also found the Model THEORY of C.CHANG & Keilser and Takeuti's Proof Thoery.
The previous one is the classic reading of model theory, natively is extremely excellent. But in the following chapters, because of the big base, it is almost unable to see
Know (a feeling, logic only involve collection theory, will not be so easy). But because even on the model is not very prosperous
Interest, there is no big moment to study it. The author of the following is a Japanese, after borrowing, there is no fine, hurried over, I don't know why it is.
Always can't go with the CUT rules.
At the end of the semester, the boss let me see Rogers Recursively Enumerable and Effective ... (book
The name is very long), this is an extremely classic book in the discussion, it is just too long. The content inside is very rich, in addition to the discussion, there is also the contents of the intended set theory. The boss said that some people did not understand this book for a lifetime.
In this way, a semester has passed, the test of the test, just issued this semester to change the money to the high exam volume, and everyone bought a wine to the dormitory.
That is a very crazy one night, a few bachelors have been eating in the middle of the night, and the opposite dormitory has also ran together, always play the vegetables, there are still many wine, there is no disappearance outside, so everyone has peanuts Don't let go,
I still remember the case of picking up the skin with chopsticks. I have been drinking 2 guys, and there is another hospital. It is not so crazy later.
This semester, L brother graduated, stayed with school.
The New Year is happy and bored, I hope to start school.
The second semester, only the last class: algebra topology. The teacher attend class is C. This year is nearly 60, the legs are somewhat, 拄拄 拄, every day, the lady is sent to school, and the wind and rain are unimpeded.
The class is speaking, it is serious, just the level is too bad. Basically, you will follow your mind. So the courses.
Start reading Rogers, the first few chapters of this book now seems to have no time, the author speaks very thoroughly. However, the book didn't look for it, the boss let me see SOARE's Recursively Enumerates and degrees. The author is a big cow, the book is not good, although it has become a standard textbook. The content in the book is very narrow, almost just a priority method.
This book is extremely difficult to read, but it is a must-study book. It is very tired, 0 ', 0' 'has 0' ''. No people teach, only to see yourself, there is a problem to ask the brother, then the brothers are stupid.
But how do you finish 0 '' ', 2 months before and after, the boss is shocked, saying that I am reading a novel, which is so fast. During the period, I also saw a draft about the tree method written by leMPP, very good, at least better than SOARE, but one
Grunge. Now recall, this manuscript is not suitable for beginners, some methods inside are too tricky, and a lot of things can only be understood after a very deep understanding of the return.
Look at Kunen's book, the third time. This time I feel much, I found the feeling of reading the book. The proof of theorem, especially forcing, with intuitive impression. But I still don't understand INNER Model.
There are not many books in this semester, but it has spent a lot of strength.
This semester is also a very lively semester. Teacher Z, graduated from the brother Z, graduated from the 3rd division, a master's degree, eat big drink, even eating rice.
The life of the first school year is boring, and there is no longer reading book like this semester (except for that time in the Chinese Academy of Sciences). The time spent on the reading is at least 9 hours. 4 semi-built in the dorm (that half is in the separation state of the separation), only entertainment is a card. Even the brand is extremely stinky, so I don't want to play. I am thinking about it, I really miss the time, I admire myself to resist so big loneliness, I will read the book.
At the end of the semester, the oblique dormitory bought a machine, and looked at the A tablets once, it was worth a commemoration. Later, our dormitory had a copy of the purchase, even the two shareholders.
This machine has completely changed the postgraduate life after the occasion. . . . .
【2】
Take the high test volume in summer vacation. For the first time, some tense.
The team leader is Kolmogorov, a doctor who has just graduated. It is very tired to change this kind of loose, and everyone is more cautious. It is more slow, and several days have become a machine, and the stay in a roll is no more than 5 seconds. In a few days, our group caught a big mistake, a middle school teacher rolled the cover. This year, the volume is also changed.
I have lived at home for about one month, I know that a undergraduate classmate committed suicide, scared. Then go back to Nanjing, play Heros 2, and the three kingdoms II. The boss is going abroad, so I have been playing in National Day.
The boss came back, asked me how many days did it? I even lively, saying that I found a topic. The topic is a few decades of jockusch: whether there is an unsteadic low.E. degree to any Low's C.E. degree of Join is still LOW. It looks very simple, then I know that countless people have done. In a few days, I thought I made it out, and I told the boss. Then I did a dream on the evening, I dreamed that I did something wrong, I woke up the next day, I thought, I was really wrong. This matter also told the brother in the same dormitory, very ft. Then continue to do it. At that time, I thought of a few very interesting skills, but I still can't overcome this issue. I always think that this guess is wrong, but the boss and L brothers think it is right, and encourages me from positive considerations. The brother also proved this conclusion by three different five Announce. But all efforts are in white, and the whole semester flower is on this topic, and there is no.
Look at Kunen's fourth time.
A graduate student classmate is dead because of the dead, our machine is still bought. I still remember to see two very fashionable bodies, I saw two very fashionable bodies, I saw two very fashionable bodies (seeing the bouting), and hiding from the small corner of the corridor and pulled out two points, with a lighter ignited, then Touching tears crying.
This semester, I often go to the computer room. I always have someone staring at the black pressure screen, and I look at what I look at God. I feel interesting, so I also see. This is even for the first time to contact BBS. I didn't understand anything, logged in with Guest, then wrote a big paragraph, I didn't know what I would like to publish, the screen pops up, I didn't publish the words of the permissions of the article. FT is dead. Later, I applied for this ID, but I have been watching, I have not sent a post.
The semester is over, and I will go home for the New Year.
After returning to the school over the year, I plan to continue the topic of the last semester. I sent an email to jockusch, asked him if this guess was solved, then he told me Cholak, Slaman.
It has been resolved. Looking for their paper, big ft. Many ideas almost the same, a key to change the LINK to the 0 '' 'skill of the connection to CONNECTION, but they succeeded, but they successfully The problem of Outcome guess, because this even thought that the current 0 '' method could not solve this problem. But since then, even the intuitiveness of the boss will never believe it.
Heros 3 came out, play crazy.
Then I reopeically, find a question about WTT for WTT. This problem is more boring, but because you want to be directly blob, I want to complete the NANDER's indicator and do other things, so I started to do this. Downey is a very fast person, and if he can solve this problem with his old way, he will definitely be resolved. I am recalling now, I don't know how to write the paper. Still want to solve this problem with Pinball Machine. Of course, it is nothing, only gives a half-way result. Dramatic is that the main result of the previous L brother received but did not publish, but the result of the paper did not publish. After writing, the boss made me vote Acta Math Sinica, which was acquired by Springer, and the grade has been improved. I feel that the hope of winning the bid is very embarrassing, or it is likely to be hit by the Chinese version, but still cast.
At this time, I told the boss to go to the hope of the Chinese Academy of Sciences, the boss agreed, and began to contact the Chinese Academy of Sciences Feng Qi, promised to let me go next to the past.
This semester is even blind.
In May, the Chinese who came to do model theory, and the followers of the direction of the development of modern models, even the task is to play with him.
This semester is a worthy thing to commemorate: even the first time you post in BBS.
[3]
In the late July, I opened a national logic meeting in South, and I saw Feng Qi. The meeting is relatively low, claiming that people who have proven that the continuous hypothesis did not come to the meeting, and there was a nouthall in the old man announced his latest research results: When a person is the age of the most, a Yancheng Normal University The teacher proved a well-known theorem.
At this conference, the boss was elected as the chairman of the number of logic.
I stayed at home for a month and returned to school.
Crazy play Heros 3, until the end of August.
With a large box of ceremony to Beijing.
Living at the 88th floor next to the Graduate School of the Chinese University of Science and Technology, I found that there is no need to bring a lot of gifts, and the trusted line is being slaughtered 400 oceans.
On the first day of living in the dormitory, I thought about quickly returning to Nanjing.
The days in Beijing are loneliness, often in addition to talking to the rice in the day, basically doing dumbs.
Feng Qi is a busy man, deputy director of mathematics, not office is going abroad, it is difficult to see.
He let me see the entry reading of Devlin's constructibility, Inner Model. Ten days later told him even after reading the continuous assumption. He does not believe, let the doll prove to see him. As a result, he was surprised, saying how I saw it so fast, I didn't tell him that Kunen's post had seen it four times. Then continue to look down.
At this time, I came from Sun Yat-sen University, and the philosophy department, and also made aggregation theory with Feng Qi. Feng Qi also recruited a doctoral student.
The foundation of the two people basically did not, Feng let me open the discussion class to them on Jech's set.
Two times, the one of Zhongshan didn't come, and then he sent himself to this lesson.
There is a dormitory in Zhongshan, which is very interesting. It is a night, and it is not bad to interfere with each other.
Then I took two months, I saw most of the book of Devlin, of which Covering Lemma had already proved that Jensen layered and its application were also known, but Morases and Silver Machine I would like to listen to Feng Qi, but I can't find it. To him.
At that time in the Chinese Academy of Sciences, I am afraid that I am the most useful time in the graduate stage. I just started reading almost no other matter every day, I can do it. The administrators of the math books have met me. Earlier is almost the earliest every day. .
Some annoying is the graduate students of mathematics like to open party in the library.
Then I even saw Jensen & Dodd's core model, not very clear, I urge Feng Qi, but he abroad.
Later, I also tried to see Shelah's Proper and Improper Forcing. Seeing the fifth chapter, there is no way to see it down.
After Feng Qi came back, it was already in December, even if you can't stand the loneliness of mathematics, find an excuse to participate in the English exam, return to Nanjing. As a result, this test failed.
This semester began to be fascinated with BBS, and the extremely bored life of mathematics forced me to send time from the Internet. Start the chat room of the West Temple, then BBS. At that time, the BBS online generally was about 200 people, and it was 400 at most.
At that time, I just finished the continuous assumption, so I sent a serial certificate in BBS, and the right to test what I learned.
Starting with no water, even dismissed D_Maths.
Then an accidental opportunity quarrel with a mathematics MM in D_Maths, and then the waterless water is not available.
I am very embarrassed, I once blocked IP, but fortunately it is the way Web method is not perfect, still can be on.
Because this ID has been blocked for a long time, I applied for the notorious vest.
After returning to Nanjing, it is more crazy, and the previous day of the English exam is still looking at the disc, playing the game, venting the loneliness of mathematics.
This semester couples and Feng Qi's relationship is not very good. I have always been very distinctive. Later, I only knew that Feng Yi once wanted to let me return to Nanjing, but the boss still left me in Beijing.
After the time of the Zhongshan, he did not come to Beijing again.
Going home for the New Year, then go directly to Beijing.
The world of Beijing is very big.
Feng is an idealist, but I am a realist. Feng let me read a doctor with him in the place, saying that Nanda's diploma should not be considered. I have calculated how this will write the paper to the South University in this semester.
Von is very unhappy, but still relies on me. I found a topic, about the use of Game research Boolean algebra, Feng gave me a paper from the University of Minnesota, I quickly solved an Open problem inside, but Feng said that I did another topic. He has done it before, but there is no result. Later, I went online and found that Shelah & Jech has been solved.
Then I even want to return to Nanjing.
I told Feng Qi and Feng very unhappy, but I didn't stay.
So I returned to Nanjing like a bird. In Nanjing, madly irrigation, and this grade of classmates have started playing BBS under the driving. A classmate tells me who is in the computer room. Who is it?
But I don't dare to neglect the matter. On a papers he and Li Yosheng, Yang Yue as a pace in the Slaman's home page, attracted me.
So do it.
As before, after a while, I thought I solved it, and later found it wrong, so I got to look at their papers, I found that there is also the same problem.
So I sent Email Yang Yue, Yang Yue, Yang, did not understand, even more convinced that their prove is wrong. reply. Finally, Yang Yue understood, admitted this mistake, but thought it can be changed.
I am very pessimistic and think it is difficult to change.
But final Yang Yue made the error corrected with almost rape, and his approach destroyed the structure of the whole tree, and forcibly jumped to the right from the left.
I didn't find a mistake, but I dare not believe that his prove is correct.
Their reviewers may have the same idea with me, this paper is vocablished to Math Journal of Isreal, there is no news.
My own papers also have a result, proved that a high degree must have a height of noncuppable, the boss wants to invest JSL, the editor of JSL, Downey, said that Harrington has proven. So even again, it is found that the results are far better than Harrionton, and the powerful boss is hard to believe.
Later, we cast the manuscript to China's science, and recommended several reviewers, all foreigners, because we believe that domestic people are reviewed.
This school year is a bit crazy, and it is a bit of bleak. Because of the master's classmates graduated. This academic year we were crazy to play the star, and everyone was so stimulated.
The school also has FTP, and I have a look at what the film is taken every day, and I have to collapse Hu coated, so I don't want to graduate.
But it is a bird and beast. Many students either go abroad or work, and there are several doctors who have nothing to do. There is also a four-sigma four signs than the coal ball, but stay in the domestic treatment.
I also moved to the doctoral student apartment, and I felt that I was already a doctor, I can't be joking in my classmates as before, I started to disguise myself, but also to protect myself.
Because of the exchange of Yang Yue, the boss took the iron, and recommended to NUS's vice president C.T.chong recommended to visit them to visit for a while, CHONG quickly agreed.
[4]
In the summer vacation in 2001, I didn't have a good time.
A mathematics department of MM, or just graduated from the country, I have only seen it several times before graduation.
After starting school, I am busy doing a visa. I plan to plan in Singapore for a month, because Shanghai is very large event, the visa office is very unsuccessful, and can only live in Singapore in Singapore.
Before going to SINGAPORE, even Yang Yue has set the topic to be done: give the fourth definable ideal. There are only two definition ideals known in its decades: Cappable and Noncuppable. Shore asked if there is an endless need for a definable ideal. Nies proves that the ideals that can be defined to be generated must be defined, but this does not solve Shore's conjecture because we don't know if these collections are the same. As a specific example, Nies proves that NonBounding is a new definition. But he left a problem, whether cappable with noncuppable is not ordinary. If not, there is a fourth to define ideal.
Slaman, Li Yami, Yang Yue 's paper has a strong skill of constructing Noncuppable degree.
We plan to use their skills to overcome this problem.
Start Yang Yue, I want to use his extremely ugly JUMP skills, I don't think it, it is recommended to change to link, and it has fallen a lot. But there is a small problem in the middle, Yang Yue thought of a way, but I didn't do it. All of this is done before going upapore.
Departure, go to Singapore, because I have reported an error, harm Yang Yue at night from the airport.
Yang Yue is crazy. We started to discuss the problem in the taxi, until my residence, discussing in the middle of the night, finally had a result, and that question overcome.
The rest is to carefully inspect prove, prove is huge.
There are many places playing in Singapore. I only went to Orchard Road and Bird Park. Orchard Road was even such a poor, Bird Park was a good, and I saw the animals never seen before.
Chong, please donated a luxurious dinner.
Suddenly GF (the hand is a little trembling when you knock this word) To break up with me, I don't know what it is, I can't do it later.
Sudden Yi said that I am going to Nanjing to see me when I go back to Nanjing. Woman's heart, clouds in the sky.
I returned to Nanjing, and the paper wrote a draft. We feel that the result is too thin, I want to invest a good magazine, but JSL is stricting the Local theory, it is estimated that our Announce has a result, press and hold the result. .
Izai Nanjing has a birthday, I spent a little money earned in Singapore.
But like all netizens meet, disappointment.
I felt that there was no online or bad, I also felt that I had a varied in front of Ira.
Not happy.
The latter days are bad.
At this time, Yang Yue put forward a greater bold problem, whether Noncuppable and NonBounding are ideal for Cappable ideals.
The topic looks difficult because some Global's taste, priority method is very difficult to deal with this problem.
Yang Yue seems to be caught, just asked.
But I have started to demonstrate.
That is a righteous night, I am in front of the North Building, considering this problem.
I am surprised that I am so angry, I feel that this thing is constantly following the structure of Cuppable and Cappable.
Looking at the paper in Shore, I found that the skill can be used.
Big happiness, tell Yang Yue, Yang Yue is not familiar with this skill, but I am also very happy to know can be solved.
He returned to Beijing, and he carefully pushed my suggestion in Beijing and considered to be correct.
Very happy, did not hesitate to cast JSL, and Downey received the manuscript and turned to the reviewer.
This semester has a classmate to get married, and a girl in Anhui. Everyone ran to Hefei to drink a happy wine.
When I am in Singapore, Nies came to Nanjing access.
He brought a new direction, algorithm information theory.
I know the content of NIES from the brother, ask Yang Yue's direction? He told me that many people are doing.
When you return to Nanjing, Nies has already left, the boss gives me a manuscript left.
I was deeply attracted to the results of Slaman and Kucera, and the randomness was so wonderful, and there were Komogorov, Solovay, a generation of universities engaged in random research, which triggered my curiosity.
One of the prior consideration was the complete problem of DOWNEY SW, and Downey claimed that he proved that SW had the same nature as Solovay degree, that is, Kucera-Slaman Theorem, I think it is very strange, I will send email asking him. Then he said that it was wrong and even didn't know if there is a maximum SW degree. Start considering this problem.
When I went to the boss's station, I thought of a way, and the results should be reversed, there is no maximum SW degree, and even more strange nature.
I sent Email to tell Yang Yue, Yang Yue didn't understand this direction, and told me that the easier thing in this direction is basically completed.
So I decided to do it.
But suddenly catching cold, go home, winter vacation.
Start school, go back to school, continue to do.
At this time, I have already caught the predicament and found that my original idea is very difficult.
So I want to prove from positive, almost give up.
I feel that some combined optimizations may be used, so I have found some groups of books.
After half a month, I returned to this topic.
I first verified my idea with a computer, I found some very strange phenomena, much better than I expected.
So firm thinking that my initial idea is correct.
After half a month, I wrote the prove.
Tell the boss.
The boss starts hard to believe.
In order to tell my results, boss and brothers discussed twice a week, spent a month, finally believed that my prove is correct.
Very happy, did not hesitate to cast JSL.
This is the most proud result I am, the previous things are basically integrated with others, but this time is original.
Downey later commented that my proof is Original, but unreadable, it is difficult to understand, the reviewer tells Downey after a year, saying that he believes that it is correct.
This semester, a brother, graduated from a brother.
Brother X is an interesting person, has done a deputy county magistrate, and there is a village cadre.
But very hard, admire.
His peers are rarely seen in this.
The brother went to the United States.
It has become an old fritter in BBS, and it has almost reached the point where people hate.
Finally, I finally decided to divide my hand.
At the end of August, he opened the Asian logic meeting in Chongqing and ready to prepare.
[5]
In the summer of 2002, the last high-test volume was changed, and it did a deputy team leader.
This summer vacation saw the two books of Moschovakis for me.
At the end of August, participated in the Asian logic meeting in Chongqing, this is a satellite conference of ICM, and the grade is relatively high.
Unfortunately, Jensen and Slaman have canceled the travel plan and did not come. Woodin rushed to Berkeley after a report in Beijing.
But there is also a Gonchanov, Downey support.
I saw C.T.chong, Feng Qi, Yang Yue, Li Yam, and who had never met with the brothers who have never seen.
Yang Yue saw I immediately told me that Downey went to NUS and took him into the field of information on algorithm. He is still so crazy around the school's campus.
Thanks to Yang Yue and Li Yusheng, they have attracted Downey to me in the report of the results of my results. Before Chongqing, I have intended to let him write a letter from the postdoctoral recommendation, so I am very glad that I noticed my job.
I also did a 15-minute report, which failed. After completing, Downey asked a question. My bad listening caused me that he didn't understand him. Yang Yue quickly came out to save the field and explained him.
Then it's playing, downney like a child, last day, everyone looks at the night scene of Chongqing, Downey suddenly diarrhea, may be the hot pot of Chongqing, began to force, and finally ran back to the hotel. I saw him the next day, he hurriedly asked me where to play, when I came back at night, I am not fun.
I deliberately tease him and say it is very fun, come back very late.
He kept shaking him at all, there is no number of hair skulls, and sighs.
Before leaving Chongqing, Feng Qi asked I would like to do Inner Model with him, I am pleased to be willing to be willing, but this semester is not good, I want to apply for Bo, he is very disappointed.
Downey gives me a topic in Chongqing: How many random H- degrees? He only asked me to construct two.
This problem can be traced back to Solovay's 75-year manuscript, he constructed 2, but the method is very tricky, it is impossible to improve.
Later, Kucera-Slaman said C.E. There is only one random H-degree in the real number.
It is not difficult to prove that there is a continuous number of H-degrees under the random number of Chaitin, so how many random H-degrees are very unclear.
At that time, the results of H-degrees in algorithm information were expanded around C.E., because we didn't know how many H-degrees in the general real number, making this research in this area stagnant.
At that time, there was no thesis, the mathematics and Chinese science papers have received the acceptance letter. Write the paper has become an entertainment, and it is no longer interested in the game (aging results).
Now recall, maybe it can only be made in this attitude.
It is even firmly considered to have a plurality of such HDs.
Starting to construct a priority method, you can prove that any random H-complexity will fall at a certain paragraph, or prove that any random number H-complexity will rise at a certain paragraph.
A natural idea is to cut out the part of the random implementation, replenish it with a partial addition to get a more complex real.
However, failure, limited methods are invalid.
After giving up a period of time, I have seen some papers in the information on algorithm.
After the National Day, I will return to this topic again.
Suddenly, the randomness is unscrupulous, and the priority method in the recursive theme has strong constructs, which is not possible to get the desired result of this method.
Therefore, the method of testing theory and collection, each real number can be seen as a natural number set, which gives a measure of metrics, and has the measure.
The focus of the problem is now in finding a gap between H and LOG.
If there is the first such thing, then use the measurement method to overcome this problem.
How do I find such a real number? The method of measurement is too thick and cannot be found at all.
In the end, it returned to the priority method, with a priority method, found that Chaitin's random number has such a nature, set!
Then I sent it directly to Downey, just started to understand, saying that there are several ingredients that seem to be, dazed.
I checked again, I found out that there is a problem, and then give him another time.
Soon, Downey reply is greatly appreciated to this result, in my doctoral paper comment, he said this prove is Genuine.
I told him that I am going to investigate Siam J on Comput.
He is afraid that I have been revived by the text, helping me again, enrich some content, put myself in the third author.
This is the best result in my postgraduate stage. I don't know if I can make such a thing.
But how many h- degrees still have not been resolved, I only prove that there is not many, but there is a continuous system, still unclear, Downey guesses may be continuous, but I hope there is an independence. Sex results come out.
Since then, there is a little degeneration, and it is crazy to see the netizens, listening to countless reports, I have also made a lot of reports. But there are many things to do this in this semester.
In the end, it is the post-speaking post, when considering: Berkeley, Wisconsin, UIUC.
Need to recommend the letter, Slaman said that I don't know much about my work, but I promised to write a rebel committee for Recommendation to Berkeley.
Wisconsin's LEMPP and UIUC's Jockusch have a big interest in my work, promise to help me apply.
But they told me that the competition is very fierce, the United States is now in a good form of employment, more and more, Wisconsin has been recruited in the post, and the UIUC model is very large, and it is just one there. Small direction.
The form is somewhat grim.
It takes a bit of strong and powerful recommendation.
So I naturally found Downey and asked him to write a recommendation letter.
Downey reply: You are in lucky now.nz exactly a global post-doctoral location, the salary is very high, asking me if it is interested. The word does not recommend the recommended letter.
I don't feel good, ask the boss, the boss suggests that I promised.
Previously, LEMPP and JOCKUSCH also suggested that I consider Downey there and take into account the grim of the US visa situation, I finally promised to go to NZ.
Then Downey asked me to get the degree as soon as possible.
So started to prepare graduation thesis.
The evaluation of the paper is divided into two parts, and some of them gave the graduate school. The boss will send a few people in China. In fact, no one can understand. Some of themselves are useful, the boss wants Nies, Lempp, Jockusch, Downey Write a review. Nies did not reply (normal), Jockusch wrote a short a few words, and then said that he was very busy, there was no sufficient time. Lempp wrote a little reputation, I am embarrassed myself. Downey is more than Ken, saying that the language of the language in my graduation thesis is appalling, and I should find an English guy who is native to help me override (if you find him, I don't know if I will promise). And the result in the early mathematics is covered by his recent results.
Then I started to graduate, just hit Chong to come to the south to talk about the things exchanged with South University, invite him to make the chairman of the reply.
Unfortunately, there is no camera when the defense is defense.
After the defense ended, Chong said, I said three words "very good". Touched to death.
The boss asked Chong and the head of the head in Janan ate a luxurious dinner, it was the highest level of me.
Up to this semester, my graduate stage is over.
Then start preparing a visa.
Suddenly, the director asked if I stayed for school, I started to agree, and later found that if there is a problem, the visa, the salary has a problem, so even the distraction, let the department signed to the European, escape from South University.
The life of this semester is very degenerated, and it has also tried to chase a MM and failed.
Going home for the New Year, because it is difficult to have a chance to go home in the past, this time is particularly long.
After returning, start busy visas, there are many procedures, but it is more smooth.
This semester life is leisure, there is a chance to look at the direction of the return, and also look at Kanamori's The Higher Infinite.
During the period, I also gave the brothers to the discussion class, and now the students are very ft.
The boss also made me bring a teacher to do the paper, and I am tired.
CHONG and Feng Qi arranged a plan to come to Nanjing, the dead SARS made all the programs Cancel.
An accidental opportunity, finding a inference in the paper in the last semester, can completely solve the problem of H-degrees in the random number, just spend a day. Once again, DOWNEY helped me modify the manuscript.
Directed to Proceedings Of AMS, and received a record letter later.
Seeing the netizens, listening to reports, the level of dual knocking reports grows in this semester.
At the time of the semester, there is a small brother who is going to study and ask how the graduate life is.
This remembers what you want to write.
5 years of life is much shorter than it looks short, and the days are inadvertently smashed in their hands.
The scene of the first day of Nanjing seems to happen yesterday, the lush trees on both sides of the road outside the window, the high and low dispensing, there is a non-arhatted building, and there is a PPMM in the bus ....
】]
The things are very big, it seems that this is necessary.
During the five-year graduate period, I got a lot of guidance from China to abroad, L brothers, boss, Feng Qi, Yang Yue, Li Yucheng, R. Downey, T. Slaman, S. LemPP .....
I have always thought that the boss is crucial for a graduate student.
For example, the boss is very strict on the graduate management, and students must do things in his field; some bosses are not asking, let the graduate students will die.
I am very lucky, the boss gives me a loose and superior research environment.
He made a specific guide to me, but I set a general direction. But even in this generous direction, I still went out.
I am not listening to the boss, I like to find some books.
The boss was forgived my obsession with the collection, let me go to the Chinese Academy of Sciences for 8 months with Feng Qi, which is that some bosses may be big.
Then the boss seized the opportunity to let me go to Singapore, making my entire study have turned.
The Nies of the boss is the visit to China is my entire academic turning point, and then the recommendation at the Chongqing Meeting, and I have a strong recommendation for my post-doct.
In the case where the overall research level in China is not high, the academic conditions and environments provided by the boss are very important.
Unfortunately, this superior condition is not available for each boss, I am very lucky.
Feng Qi's level is probably not having a few people in China, as long as he recently explains the problem in J. of AMS.
He is a person with heat in an external cold, with strong idealistic colors, some regardless of practical.
For example, he advised me to give up the pursuit of the degree, "dead" falling for a few years and wakes up. He said that some people have spent at least ten years of time, some horrible.
If I follow his suggestion, I may have better results.
But I am a meritorian, I want a degree. This is probably the common problem of domestic researchers, and the reason why the domestic research level is low.
In Chongqing, he once again suggested that I am very happy when I do Inner Model.
I have always thought that only super high IQ talents in this area dared to enter, and the characters active in this field were all famous collection. Jensen, Neeman, Woodin ....
Unfortunately, my elaboration caused me to give up this opportunity.
The day before leaving Chongqing, looked at Feng Qi's words and stopped.
Maybe China is not suitable for him with a strong idealistic color, and his current environment is somewhat embarrassing.
Yang Yue is a warm and smart person. When the Northern University of the Northern, the teacher has been enthusiastic from everyone, and he has been heard in him.
Li Yam is a person similar to Chen Jingrun. I am afraid that no one thinks he is very smart, but his work is definitely first, but he comes to Nanjing visit too short, and there is no opportunity to get too much help.
Downey has played a key role in my research. Many work is tied to him. He is an energetic guy, the reaction is extremely fast, and the new research direction can be opened after 50 years old. Slaman is the uncompromised first expert in today's reciprocating, his tentacles all over all the fields of returning theory, all of which are the results of Original.
The enthusiasm of LEMPP is awkward, and there is no giant, he will do it very carefully.
The postgraduate stage is being the three words that have received their enthusiasm. "Very good".
This morning, the boss suddenly came to me, telling me that I have comments in my system, because my post involves too many people.
I am sorry if I have some people who are somewhat in respectful. I am sorry.
I don't want to think about anything.
I think my five-year graduate life has a lot of gains, and there are many regrets.
I didn't know how to write the paper. I saw that many people closed the door throughout the day. Even the email would not be sent, the topic of the paper is waiting for the boss, I don't know how to exchange, I don't know new research. direction. . . . I think these experiences will be useful.
Also, I originally wanted more about writing some academics, but I don't consciously write a lot of academics.
However, the conversation this morning, it seems that I am lucky.
