ding ~
Less than a minute after the message was sent, there were already comments.
"Wow, what a handsome little brother. Please contact me!”
"Xinyi, I'm still single. Give me the contact information of the handsome junior.”
" Sob, sob. I actually didn't know that the Mathematics faculty has such a good junior…"
Zhong Xinyi tapped on her phone and posted another post.
"You guys will die from hunger."
There was also a Scissorhands emoji following the post.
Lin Yi shook his head when he saw the busy Zhong Xinyi.
At this moment, Zhao Wenjun, who had just written a series of equations on the blackboard, looked dissatisfied. He said to Lin Yi and the other two,"The students in the seventh row on the left, please don't play with your phone during class!”
Zhong Xinyi was shocked. She quickly stuck out her tongue and put away her phone.
Academician Zhao nodded and pointed at Lin Yi.
"The male student over there, come up and solve this Manifold equation.”
As soon as Academician Zhao said this, everyone around Lin Yi, including Zhong Xinyi, immediately hid far away.
Lin Yi was shocked!
Come on, the one playing with the phone was Zhong Xinyi. I didn't do anything!
Although he was unwilling, under the gaze of all the students, Lin Yi could only brace himself and walk up to the podium.
What is the definition of a Manifold?" Academician Zhao Wenjun asked.
"Manifolds are spaces that have the properties of Ethereal space. They are used in mathematics to describe geometric shapes. Whether it was low-dimensional or high-dimensional, it could represent a specific instance of a manifold, which was what we often call a dimensional elevation.”
Lin Yi spoke with confidence. These were all things that he had self-taught in junior high school, so it couldn't be simpler.
"That's right. Then you solve this equation.”
Academician Zhao nodded in satisfaction. He realized that this student had a good grasp of the basics of topography.
Lin Yi picked up a piece of chalk and looked at the equation behind Academician Zhao.
"Theorems A, let Mn be a complete Manifold,Rc(M)>-k,k is a non-negative constant.
Cn Cn√kVx∈B(xo,R、(1.1)UR2。where Cn is a constant that only depends on n…
Q: Let (M,g) be a complete Manifold, and on the measurand B2R with a radius of 2R, Rc(M)>-k,k is a non-negative constant. u is the positive solution of the heat equation, then?”
Lin Yi glanced at it, and the standard solution had already appeared in his mind.
This question seemed to be asking about the geometric field, but it was actually a test of the mathematics graduate student's mastery of the harmonious equation in the complete field.
The answer should be: Vu div2Ca2, a2na = V However! The deviation value of the positive solution obtained by this method was greater than 0.37. Moreover, ever since the famous mathematician Marlton created the Ricci flow and Perelman perfected it, the mathematics community had gotten used to using the Ricci flow to solve equations. The deviation was less than 0.17. Ricci flow had been developed for more than 20 years and had become an indispensable mathematical tool in popular equations. So... Lin Yi directly skipped Academician Zhao's blackboard and wrote on another blackboard: "Lemma A. Let M be a Riemannian Manifold of dimension n> 2, the Ricci curvature is non-negative and u is the positive solution of the harmonious equation in Mx(0, infinity). Then there is a constant C related to the dimension, C2 such that for all x, M and t0, there is: |Vu(x,t)|u(x,2t)\u(x,t)≤C1 C2 In(a,t) Theorems B. Set…" The sound of a pin dropping could be heard in the auditorium, and only the sound of chalk scratching the blackboard could be heard. Everyone, including Academician Zhao, stared at Lin Yi's equation without blinking. But… He couldn't understand! He really couldn't understand! Zhong Xinyi felt like her brain was about to explode. She had no idea what the equation on the blackboard was. She gave up struggling and quietly went to Zhuge Dali's side to ask,""Dali, can you understand what Junior Lin Yi is writing? Why do I feel like it's like a book from heaven?” Zhuge Dali bit his lips, his expression solemn. "I…I can barely follow the train of thought. From this harmonious equation, Junior Lin Yi obviously used a new mathematical tool to solve the equation in the topological-dimensional upgrade.” At the same time. The department head beside Director Zhao was also suspicious. Finally, he couldn't help but ask Director Zhao curiously,"Elder Zhao, this little student isn't messing around, right? Why don't we let him go?” The dean wasn't an academic genius, but he could still understand the most common of equations. The standard solution had been used in the mathematics world for nearly a hundred years. Why was it so complicated in the hands of this male student? "Nonsense, what do you know!" Director Zhao glared at the dean and scolded him. Then, he looked at Lin Yi's unfinished formula with a solemn expression. " If I'm not wrong, the equations written by this student are very likely to use a brand new mathematical tool. It can help the entire mathematics community overcome the difficulty of the large deviation of various equations in topography, not just the harmonious equation! Other mathematical tools such as the linear equation and the thermal equation could be substituted into this new set of mathematical tools! If this set of mathematical tools was effective, it would cause an earthquake in the mathematics world!” Director Zhao's face was filled with excitement. He was one of the founders of the domestic topologies and dedicated his life to improving the level of basic science in the country. But even now, the domestic universities still lagged behind foreign countries in their research on topography. Perhaps, in terms of applied technology, the country had already caught up to or even surpassed foreign countries. For example, 5g, or a laser. However, Zhao Wenjun deeply understood the importance of basic science. Basic science was like the foundation of a house. With a solid foundation, a house could be built tall and stable. Unfortunately, basic science was slow to take effect and required a lot of investment. It usually took hundreds of years for basic science to be converted into economic benefits. Among them, mathematics was the weakest link in the country. The last Chinese to win the Fields Gold Medal was the Chinese mathematician Qiu Tong! In the next 30 years, other than the genius Chinese mathematician who won the Fields Gold Medal once, the Chinese mathematician was also a genius. There was no longer a Chinese person who could stand on the podium of the highest honor in the mathematics world. This book comes from：m.funovel.com。