The Philosophy Departnt is very close to the South Garden canteen.
Qiao Yu usually doesn’t crash early morning classes, so wherever he audits a class, it’s basically alti by the ti he’s done, and he eats at the nearby canteen.
During this period, he’s tried almost all the canteens on the Yanbei campus.
He’s also got a good idea of each place’s signature dishes.
Just as he was enjoying his al, he got a call from Senior Brother Chen.
"I... Qiao Yu... you, you, you..."
"What’s up, Senior Brother Chen?"
"You’ve been invited to attend the World Algebraic Geotry Conference, and you’re going to give a thirty-minute presentation?"
It took quite a while for Chen Zhuoyang on the other end to get this sentence out smoothly.
"Huh? No way? Senior Brother Chen, this was decided a long ti ago. You’re the Mr. All-Knowing of our Math Research Center, how co you’re just finding out now?"
After a long pause, he squeezed out a sentence: "No one told , and you didn’t ntion it either, how would I know?"
Qiao Yu replied, "Well... I was thinking that since you’re leaving school next month, I didn’t want to bother you with it. But really, who went and blabbed...?"
"Just earlier, Professor Zhou gave your passport to Director Tian, and I happened to bump into him. Professor Zhou casually ntioned it."
Qiao Yu felt that Senior Brother Chen knew how to flatter people subtly. For example, through his earlier excitent that made him incoherent, and his slightly aggrieved tone now, he managed to give Qiao Yu a lot of emotional satisfaction.
So Qiao Yu followed up with, "Oh, it’s just the Algebraic Geotry Conference, not the World Mathematician Conference, you don’t need to be so excited. If I’m ever invited to give a sixty-minute presentation at the World Mathematician Conference, there’s still ti for you to be happy for ."
Saying this wasn’t really trying to show off, it was just to let Senior Brother know that he understood these subtle flattery tactics.
"Oh, where are you now?"
"In the South Garden canteen."
"Why go so far just for a al?"
"Just went to the Philosophy Departnt to audit a class on truth. The professor was quite engaging, but it’s like I listened without really listening. Sigh... maybe I’m not cut out for philosophy?"
"Why would you go to the Philosophy Departnt? What useful things can they teach? Talking about truth, those philosophers are always so vague with their definitions. Their argunts could just be purely idealistic. Let tell you, mathematics is the real truth. Right is right, and wrong is wrong. It’s very clear-cut."
"Sigh, Senior Brother, you don’t understand. Recently I’ve been getting a ntal block from working on my project, and listening to this stuff feels interesting and helps relax the brain."
"Don’t listen to that nonsense. If we’re talking about the clash of ideas, the description of mathematics is the most beautiful. During one of his lectures, the boss said sothing about symtry: ’seek the unchanging in the changing, find simplicity in complexity.’ Isn’t this mathematical thought way more interesting than that philosophical mumbo jumbo? You better not let those abstruse theories lead you astray."
Chen Zhuoyang’s words struck a chord with Qiao Yu, like a switch was activated, causing him to subconsciously ask, "Wait a minute, Senior Brother, what was it Director Tian said? That transformation...?"
"Hmm? Seek the unchanging in the changing, what’s wrong?"
"Oh, nothing, I didn’t hear clearly. I’ll head back after I eat, hanging up now."
"Hey, no rush, I just called to ask about that situation... wait... hmm, hung up?"
Qiao Yu directly hung up the phone, not hearing the rest of what Chen Zhuoyang said.
Seek the unchanging in the changing, find simplicity in complexity.
Qiao Yu rembered that Professor Zhang seed to have talked to him about a similar topic before, though not using the sa words.
But combining it with the problem he’s been contemplating recently, it seed like a ray of light pierced into his brain.
The core of a commutative heap is the set of commutative elents. In a commutative heap, the order of different elents does not affect the overall properties, which itself constitutes a kind of symtry. So here’s the question: do so global functions in a commutative heap also exhibit similar invariance?
One of the biggest challenges in Professor Li’s project right now is that the computation of global functions usually involves multiple variables and complex combinations. All of his previous attempts have faced steep computational costs, leading to dead ends.
If symtry could be effectively used to extract invariant features, perhaps the cumberso calculations could be transford into more intuitive analyses.
Especially if global functions could be viewed as invariant forms under the action of so transformation group, could this perspective reveal the relationship between global functions and the Whitaker Layer?
If successful, then obviously, analyzing global functions from the perspective of invariance will make complex problems beco clear. If this transformation is feasible, it will not only be a theoretical breakthrough but could also provide a concrete computational thod.
Thinking of this, Qiao Yu’s mind imdiately began to diverge.
The first step, naturally, is to construct an appropriate transformation group to analyze how the global functions perform under the action of this group.
Quickly building various possible transformation thods in his mind, on how to map global functions to a new space through the action of a transformation group, and use this space to simplify calculations and analyses...
...
"Hey, Xiao Yue, do you think that guy has been staring at you all the ti? Xiao Yue."
Zhao Xiaoyue followed her friend’s gaze and glanced over, saying in embarrassnt and annoyance, "Oh, stop it, he’s clearly just zoning out."
"Yeah, he’s dumbstruck by your beauty, so he’s zoning out. Haha..."
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