A genius student? Ha, they're nothing but ants at your feet!
Chapter 256 Mental Combat
"what!"
Theodore let out a short gasp.
He was completely stunned, as if he had been electrocuted!
With a sudden burst of power from both legs!
Retreat as far back as possible!
Try to widen the perspective from a distance and take in the entire grand structure of the blackboard!
Until his back hit the wall behind him in the corridor.
His chest heaved violently as he took a deep breath of the cold air.
"Could this be... the Smail median problem?"
This is a complete and utter curse!
This is an unsolvable hypothesis that Stephen Smail, one of America's top mathematicians, uttered decades ago, like a devil's whisper.
It explores whether differentiable functions still satisfy the mean value theorem in extremely extreme environments such as non-uniform measure spaces!
This is a classic world problem that has driven countless geniuses to despair.
Boom!Boom!Boom!
Theodore's heart began to race.
"Impossible! Absolutely impossible! Even an MIT undergraduate wouldn't have the guts or the resources to tackle something this devilish!"
This is definitely not some advanced math problem that you can use to show off your skills.
This is an ancient problem of such extreme difficulty that it is only known to a very small group of top experts within the most elite analytical community!
Over the past few decades.
Countless self-proclaimed geniuses have attempted to extend the mean value theorem to spaces with indeterminate curvature and density.
But the final result was invariably the same!
They all returned empty-handed!
They all fell into a self-contradictory dead end!
Because in this problem, the definition of "measure" will inevitably be affected by the geometric structure of the function itself, thus causing an unsolvable logical collapse!
After being tormented by this problem to the point of losing all their hair, the titans of mathematics at the time gritted their teeth and unanimously delivered their final verdict:
"Don't waste your energy. Trying to solve this problem is simply looking for an average value that doesn't even exist in the universe."
Therefore.
For nearly half a century, no one in the world has been able to complete a paper proving this.
Even Smail himself, who proposed this hypothesis, could only sadly choose to abandon it halfway after years of painstaking effort.
This question has been swept into the dustbin of history.
Modern so-called young mathematical geniuses probably haven't even heard of this problem!
However, Theodore himself is an exception...
Unlike those mediocre people who only focus on popular topics, he has always had an extremely strong, morbid interest in unsolved mysteries that challenge the limits of human intelligence since childhood.
His initial intention in searching for the tattered files containing this question was simply to find some inspiration for his master's thesis.
But he never expected it.
That deep accumulation of knowledge, born out of curiosity, has unexpectedly come in handy today, in this inexplicable corridor!
Theodore pressed himself tightly against the wall.
Like a hunting dog, it bites the chalk clues tightly, slowly moving along the logic left on the blackboard.
"Holy crap...they actually set the weights to a non-linear structure?"
This line of thinking is even more outrageous than that of a ruthless bandit!
The writer's handwriting was extremely stable, as if he were strolling leisurely, spreading across the blackboard like vines at an absolutely precise and fixed interval.
As the derivation progresses further...
Theodore discovered that the idea that was originally completely vague and extremely abstract in this problem was actually quite abstract.
It is being visualized step by step, irresistibly, under that piece of chalk!
"Wait, this is...! He actually set the function to probability density in this part."
Could it be that he intends to completely replace the concept of the average value from pure geometry with that in probability space?!
What kind of monster is this?!
This guy's audacity is simply outrageous!
Theodore felt a chill run down his spine, and his scalp tingled.
Once this insane approach is implemented, the subsequent computational workload will be so complex that even supercomputers will be emitting black smoke on the spot!
But the person who left these words on the blackboard was clearly a complete thug!
He is unafraid to subvert and expand upon classic fundamental concepts!
They even enjoy the thrill of tearing apart the truth!
Theodore has completely forgotten his original purpose for coming here.
Like a puppet on a string, he was drawn forward by that invisible magic.
Finally, he reached the end of the corridor.
There was a dilapidated window there.
Directly below the window, a small blackboard hangs forlornly.
But it was on that inconspicuous little blackboard!
The formulas on it completely abandoned any sense of propriety and were written in an extremely chaotic and irritable manner!
It completely disregards all layout rules!
It's like someone capturing a moment of inspiration in their mind, and fearing it might slip away, they hastily and desperately slam it down!
The chalk color at the edges has faded and weathered, clearly indicating that these words have been lying dormant here for several days.
Theodore was agitated after just a few glances at the brains.
This is a novel theorem that ingeniously combines probability theory's stochastic differential equations with advanced geometry, forcibly integrating all the previous scattered entry points into a unified whole and further elevating them!
An unimaginable leap in thinking!
The writer, with superhuman intuition, managed to transform this dazzling concept of non-uniform space, which even Smail himself could not understand, into a perfectly fitting mathematical formula!
Until this moment.
This magnificent mathematical panorama.
It was only before Theodore that its terrifying full form was completely revealed!
This is not graffiti!
This is clearly a scene of intense intellectual battle, a clash of swords and shadows, left behind by a brilliant mathematician who was playing against God alone in this place!
In those places that have been repeatedly erased and rewritten.
Among the countless newly added cursive annotations scattered across the blackboards throughout the corridor.
All of them bear the marks of war!
"That damned, wasteful bastard..."
Didn't he ever imagine that by simply tweaking this a bit, he could publish a paper in a top journal that would be worthy of a major award?!
Theodore was so jealous his eyes turned red.
This is the most frustrating part.
Upon closer inspection, the entire epic-like proof process is completely devoid of any systematic approach!
There was no preface, no presuppositions.
It was simply that a brilliant idea suddenly popped into his head, and he casually jotted it down on the nearest wall, like dumping trash.
The derivation of equations often comes to an extremely unpleasant abrupt end when it reaches the most crucial and exciting intermediate step!
Then, it would abruptly continue on a completely unrelated blackboard more than ten meters away!
What's most infuriating is that there's not a single word connecting these symbols and paragraphs, let alone any transitions or transitions, not even an arrow or connecting line to indicate the next step!
Theodore would bet his head on it.
Aside from the freak who wrote the notes on the blackboard, there is probably no one else in the world who can fully understand this wall full of crazy nonsense without relying on their own imagination!
"Under what bizarre circumstances did you write these?"
Are you on your way to class? Or are you rushing to the cafeteria to grab food?
This feeling... it's almost like being so afraid that a fleeting inspiration will vanish that you've hastily scribbled on a random wall!
Theodore could even picture that scene in his mind:
The writer most likely took a very short break between going to the library or a lecture hall, while eating a hot dog, grabbed a piece of chalk, and casually left these traces that were enough to shake the academic world!
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