The Scholar's Grind
Chapter 223

Terence Tao's Only Question

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Chapter 223: Terence Tao's Only Question

"To handle the complex behavior of solutions more effectively, we need this new function space, which possesses the following properties."

"It can control the regularity of solutions, control the growth of nonlinear terms, and handle more general initial conditions."

"First, let us list several common function spaces."

"First is the most important one, the Sobolev space. The Sobolev space is often used in fluid mechanics research, so its properties can provide us with considerable help."

On the podium, Xiao Yi wrote "Sobolev space" on the blackboard.

"Besides that, there are many other function spaces."

"There is an old saying in China: retain the essence and discard the dross. It means extracting what is useful and removing what is not."

"Of course, that is only a metaphor. The parts we discard cannot really be called dross; they are simply parts that do not help our research."

"Then, besides the Sobolev space, there is also the Besov space..."

Using various analytical methods, he conducted a detailed analysis and study of these function spaces.

Gradually, the outline of Xiao's Space began to emerge.

The people at the presentation were increasingly astonished by Xiao Yi's formidable analytical ability.

If it had been anyone else, they probably would never have imagined that so many function spaces could be integrated together.

Of course, merely extracting the essence from these different spaces would not have been enough.

There were still some new elements involved.

Thus, after Xiao Yi completed his analysis of the various function spaces, he began adding those new elements to the framework of Xiao's Space.

"Mm, I can't understand it from here onward."

Terence Tao shook his head as he spoke.

Feierman, sitting beside him, was stunned. "You can't understand it? You're joking!"

After Xiao Yi's paper had

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