Chapter 344: Meaningless Inequality
Chapter 344
Gu Lu uses arrows and formula symbols to connect the six sets.
A logical mind map with a closed-loop structure is drawn.
[Pretend there's a picture here]
The content of the mind map is very simple and can be easily understood by any mathematician.
In this corollary 3.12 of Shinichi Mochizuki.
You need to know how each set on the ring relates to its neighbors.
And this mind map of Gu Lu can do just that.
That is, the interrelationship between measures that express different sets.
It is obvious from the diagram that the six sets are two pairs and have a certain logical connection with each other.
This is the key to the validity of the inequality mentioned above.
-|log(q)|≤-|log(&)|
(I'm afraid you forgot to write it again)
Actually, at first glance, this is a rather high-profile inequality.
Because it uses a very concise mathematical language, it explains how to compare two sets of different elements.
When Shinichi Wangi talked about this inequality just now, many of the students below silently praised Shinichi Wangi's miraculous workmanship.
But Gu Lu holds a contrary view.
In Gu Lu's view, although this inequality seems to be very high at first glance, in fact, it is just a flashy empty shelf.
…………
"Professor Wangjing, is there a problem with the picture I drawn?" Gu Lu pointed to the picture he had drawn, and asked Shinichi Wangjing with a smile.
Shinichi Wangjing swept the picture drawn by Gu Lu from beginning to end, and said truthfully, "No problem." ”
Gu Lu's picture is indeed no problem.
The diagram clearly illustrates the logical relationship between the six sets.
And this logical relationship is exactly the same as what Shinichi Wangi just talked about in class and what he wrote in his paper.
Seeing that Wangjing Xin nodded in agreement, the corners of Gu Lu's mouth rose slightly.
Now, the preliminary preparations have been completed.
So next......
It's time for dinner!
Gu Lu touched his chin, pretended to be puzzled and asked, "In that case, Professor Wangjing, I don't understand a little bit, I hope Professor Wangjing can answer my questions!"
Teach me, please?
Shinichi Wangi felt complacent in his heart, coughed lightly, and said in the tone of a senior, "Ask, since you don't understand anything about my theory, then I will definitely teach it carefully!"
Shinichi Wangi confidently responded.
As for being stumped by Gu Lu's question?
Shinichi Mowai doesn't think so!
In the world, if anyone had the deepest understanding of the theory of the intercosmic Teichmüller, Shinichi Wangi was second, then no one dared to rank first.
The intercosmic Teichmüller theory was proposed by Shinichi Mojii himself.
And Shinichi Mowai has been immersed in the theory of the intercosmic Teichmüller for more than 30 years.
Shinichi Mowai is so familiar with this set of theories that he can even write down the entire 512-page essay silently.
So Shinichi Mowai is full of confidence.
Of course, at this time, Shinichi Wangi didn't realize what a perverted guy he was facing.
Seeing that Shinichi Wangi looked confident, Gu Lu didn't talk too much nonsense and started asking questions directly.
"I see that some parts of Professor Wangjing's follow-up papers, which occupy a large part of the space, use inference 3.12 and this inequality, and in Professor Wangjing's entire theoretical system, various spatial measures are compatible with each other, and there are ......," Gu Lu said slowly.
After listening to Gu Lu's story, Wangjing Xin's face flashed with a touch of surprise.
Shinichi Wangjing didn't expect that Gu Lu also had a deep understanding of the follow-up content of his thesis.
And Wangjing Shinichi knew that Gu Lu hadn't listened to the first class a few days ago.
In this case, Gu Lu still has such a deep understanding of his entire set of intercosmic Teichmüller theories.
That illustrates in another sense......
Gu Lu is extremely talented for his new theory.
But alas!
With the relationship between the two, it is impossible for Shinichi Wangi to develop Gu Lu into a loyal supporter of his theory.
Wangjing Shinichi secretly said pity, then hugged his arm, nodded with satisfaction, and said, "What Professor Gu said is right, but I don't know, does what you said have anything to do with the problem?"
Gu Lu smiled faintly, and his tone was not hurried or slow, "Professor Wangjing, let me finish speaking." ”
Wangjing Shinichi smiled coldly and motioned for Gu Lu to continue.
Gu Lu turned his head and wrote four big characters on the blackboard.
Spatial Measurements!
Gu Lu circled these four words in a circle, and his tone became a little heavier, "Spatial measurement, this is a key word!"
"As I said earlier, in Professor Mojii's theory of intercosmic Teichmüller, the various measurement criteria are compatible with each other. ”
"But!" Gu Lu pointed to the circular mind map composed of six sets he had just drawn, and said while listing the formulas, "When you traverse along the ring, you will eventually encounter a measurement standard, which looks different from other measurement standards. ”
"Ah, that's like this!" Gu Lu tapped on the blackboard and wrote down the results obtained through the formula operation.
Indeed, as Gu Lu said, in this circular mind map, there will be a standard and different spatial measure.
This situation is similar to the famous Escher staircase.
As you keep climbing up, at the end of the day you find that you're back to square one.
The students under the podium sat up straight one by one, frightened and shocked.
Could it be that there is a loophole in Professor Wangi's theory?
More than one student below pondered this question.
Because of the incompatibility of this spatial measure, it means that the final inequality does not compare the two quantities that should really be compared.
The inequality error also represents a fatal error in the inference of the 3.12 theorem.
"Professor Wangjing, I want you to explain this question?" Gu Lu looked at Shinichi Wangjing with a flat gaze.
Is it just that degree?
Shinichi Wangjing didn't panic at all, calmly walked to Gu Lu's side step by step, picked up a piece of chalk, and said with a smile, "This question is actually very simple. ”
Whew!
Shinichi Wangi unhurriedly wrote down a line of formulas on the blackboard.
After writing almost half of the blackboard, Shinichi stopped writing and threw away the chalk in a dashing manner.
"The spatial measures are incompatible, this is not simple, using this set of formulas, it is enough to directly make the space of two different measures compatible with each other, and it is not troublesome. Wangjing Shinichi smiled and glanced at Gu Lu proudly.
Gu Lu wants to overturn his theory, and he is still very young!
"Professor Gu, the question is over, it's not too early, we have to get ready for class. Shinichi Mowai raised his wrist and glanced at the time, then spoke.
Gu Lu looked up at the string of formulas that Shinichi Wangi had just written on the blackboard, and he didn't mean to move, "Professor Wangjing, I haven't finished asking my question yet." ”
"Oh?" Wangjing Shinichi raised his eyebrows and said with a sneer, "What else does Professor Gu want to ask?"
Gu Lu raised his finger and pointed at Shinichi Wangjing to write down the formula for half of the blackboard, "Professor Wangjing, haven't you ever thought that if you use this set of formulas to forcibly make two different measurements of space compatible with each other. ”
"So...... Will this inequality still make sense?"
After listening to Gu Lu's words, Shinichi Wangjing, who suddenly realized something, suddenly had a smile on his face.