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 Looking at this question, many students have no idea at all and don’t know where to start.
 This is also very normal for them. After all, they have just started learning mathematical analysis. When encountering such a comprehensive problem, it is indeed difficult to find the solution to the problem at once.
 There were also a few students who seemed to have some ideas and began to write on straw paper to try to answer the question.
 After Ning Chen read the question, he first determined that it was a question he had never seen before, but he quickly found a way to solve the problem.
 After all, Ning Chen is a contestant who has studied the entire "Mathematical Analysis" by himself, plus "Advanced Algebra", "Analytical Geometry", "Elementary Number Theory", "Abstract Algebra (Elementary)", "Mathematical Modeling" and other With the blessing of several mathematical knowledge, Ning Chen had problem-solving abilities that were superior to those of mathematics majors.
 "First make a difference between f(x+t) and f(x), determine the range of this difference, and then according to the first form of Kronecker's theorem, let α1, α2,..., αn be any real numbers, θ1, θ2, ..., θn is a real number that is linearly independent on the integer ring..."
 Ning Chen quickly wrote his problem-solving process on the paper. He paused several times and thought briefly, but in the end he completed the entire proof process relatively smoothly.
 "So the sequence {tn} is what we want. In summary, the original proposition is proved."
 After finishing the entire proof process in a relatively simple way, Ning Chen breathed a sigh of relief.
 Speaking of which, Ning Chen was not satisfied with his proving speed.
 "It seems that I usually do too few questions, so I get stuck in the middle. If I were a mathematics major, I should have completed the entire proof process long ago."
 But when Ning Chen looked up, he found that none of his classmates had raised their hands.
 Everyone was either staring blankly at the questions on the big screen, or frowning and biting their pens, writing and revising on the straw paper, but no complete ideas emerged.
 Seeing everyone's painful state, He Sheng on the podium looked relaxed.
 Since everyone had answered the questions so smoothly before, in order to prevent the students from being too proud, He Sheng specially asked a question that was a little over the top to kill everyone's enthusiasm.
 Seeing that no one raised their hands, He Sheng walked off the stage and began to patrol the aisles.
 When he reached the last row, He Sheng saw that Ning Chen hadn't started writing and thought that Ning Chen didn't have any ideas.
 But when He Sheng carefully looked at the process on Ning Chen's scratch paper, he was surprised to find that Ning Chen had already completed the proof of the problem.
 Although Ning Chen's proof process was a bit simple, He Sheng knew that Ning Chen's idea was completely correct.
 "You...did you write this yourself?"
 "Yes, teacher, but I don't know if I wrote it correctly."
 In fact, Ning Chen was very confident in his own problem-solving ideas, but Ning Chen was not quite sure about the problem-solving format, so he tentatively asked He Sheng.
 "What you proved is correct, go and write it on the blackboard!"
 There was some uncontrollable excitement in He Sheng's words. After all, He Sheng could not have imagined that Ning Chen would be the first person in the classroom to answer this question.
 There are more than a hundred students majoring in mathematics, but none of the auditors majoring in materials can do it quickly or well. This will inevitably make He Sheng feel incredible.
 Ning Chen hesitated for a moment, then walked towards the podium.
 Other students in the classroom also raised their heads and focused their attention on Ning Chen.
 Seeing that the unknown student came to the podium, the mathematics students were all surprised and started talking among themselves.
 "Who is this student? Why did Teacher He let him come to the front?"
 "I don't know, but since Teacher He asked him to go up, it seems that he really solved this problem."
 "It can't be a student who transferred from another major. I've never seen this person before."
 "If you transferred from other majors, you would not be able to learn so quickly. Maybe you are a student who has taken a leave of absence before and has already learned these courses."
 Ning Chen didn't pay attention to other people's comments. He didn't even bring any scratch paper, so he picked up the chalk and started writing the process.
 Because Ning Chen has completely memorized the entire proof idea in his mind, if he writes according to the scratch paper, the speed will be slower.
 In addition, because the whole process has to be faced by all students, Ning Chen deliberately wrote the process in more detail, without omitting many intermediate processes as he just did on the draft paper.
 Ning Chen's chalk writing is pretty good. Because he worked as a mathematics teacher in an education and training institution in his previous life, Ning Chen is very accustomed to using chalk.
 Watching Ning Chen write the proof process of this question on the blackboard without any pause, the students in the classroom started talking one after another.
 "This person doesn't look simple. I feel that his process of writing proofs is very smooth. He can't be a new teacher in our major, right?"
 "Although I can't understand the writing process, I still think it's very impressive."
 "Looking at this posture, I really don't know if four blackboards are enough for him."
 There were also a few students who suddenly understood something after seeing the proof ideas written by Ning Chen.
 "So that's it. The entire problem-solving idea first uses the first form of Kronecker's theorem, and then discusses whether a1, a2, and a3 are linearly independent on the integer ring, and further proves that {tn} in the above conclusion is an upper bound. of……"
 "I kind of understand it, but if I hadn't seen his way of thinking, I wouldn't have thought of this method at all. This requires too much basic mathematics. All situations must be listed, and there can't be any omission."
 "Give me two hours, I might be able to solve this question, but if I only have twenty minutes, I'm afraid I won't even be able to come up with the basic ideas."
 When Ning Chen almost finished using two blackboards, he finally finished writing the process of this question.
 "It's very well written, go back."
 He Sheng did not ask Ning Chen to explain his proof process to everyone, so Ning Chen did not stay on the podium and went straight to his seat.
 Along the way, almost all the students in the classroom looked at Ning Chen, their eyes filled with various emotions.
 Next, He Sheng explained to everyone the process of Ning Chen's writing.
 After He Sheng's explanation, some students understood Ning Chen's problem-solving ideas, but this was only to an understandable level. It was still impossible for them to do it alone.
 "The classmate just now is a freshman majoring in materials science. Our students majoring in mathematics still need to continue to work hard."
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 Reborn in college, Ning Chen decided to rely on learning to change his life. 
 Getting perfect scores on exams, getting scholarships, ranking first in competitions, solving unknown conjectures, publishing blockbuster papers... these are just the basic operations of the top academic. 
 Perhaps this is Ning Chen's ultimate goal to become a scientist, conquer cutting-edge science and technology, and influence the entire human civilization through science and technology. 
 Room-temperature superconductivity, commercialized controllable nuclear fusion, space elevators, aerospace fighters... 
 When all this became a reality, Ning Chen knew that he had completely changed this era.
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 I wanted to rely on hard work and hard work to become stronger, but I found that lying down is more comfortable.
 The point is, you can upgrade while lying down!
 Why should I stand when I can lie down?
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 [This book has no reading threshold. 】
 The following is the autobiography of a male anchor:
 Yesterday I found a gourmet VR game called "The Prisoner of Gourmet" trial version.
 I thought it was just a casual game for hunting, eating, and surviving along the way.
 But as I explored this game more and more deeply, my traditional concepts were completely subverted!
 A bone tree with long meat, a pig whose meat has been cooked but is still alive, an island whose whole body is a big cake...
 And that outrageous combat power system, your Lv. 1 monster's combat power is actually comparable to ten fully armed soldiers?
 wtf? Who the hell said this is a casual game? You come out, I promise not to kill you!
 And when most players have cleared the trial version.
 One day, "The Prisoner of Gourmet OL" turned out...
 A variety of occupations, magical and magnificent food, a variety of camp choices, full of exploration..
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 [Crossing the interstellar + strong men and women + gourmet food + easy and refreshing text + winning the battlefield, winning the kitchen]
 She travels across the stars, even on the garbage star, she can’t stop a foodie’s pursuit of food!
 Playing with her cooking skills, she allowed herself to rise from the bottom up and get rid of her status as an exiled criminal.
 Leave the Garbage Star, enter the Alliance Military Academy, and start your own road to whitewashing…
 In the past, people didn’t know how to learn, and loved to die.
 Now, knowledge is power, and ability changes life. I love learning and learning to love me. She is going farther and farther on the road of learning dominance.
 The male god who could not be chased by a stalker, is now automatically sent to the door, and the younger brother has also turned into the prince of the empire.
 From people’s suspicion, to national rivals, to national goddess, Lan Jiao suddenly discovered that she didn’t know when she had already married the national male god and embarked on the pinnacle of life? ? ?
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 The supernatural era has come, the rules have changed, the mystery has arrived, and the world has changed. 
 Countless relics of civilizations have emerged in the world, and a large amount of natural treasures are available for people to pick up. 
 Radicals: "This is the best era, enter the new world, dig up the relics, and evolve for all people!" 
 Conservatives: "This is the worst era, there are countless monsters outside, once you leave the safe zone, what awaits mankind will only be destruction!" 
 … 
 At this time, in a distant relic, Lu Yuan successfully dug up new treasures, sought mysterious wealth, and was eager to contact his fellow countrymen on Earth. 
 "I picked up a communicator, can I get in touch?" 
 "Hey, humans - I'm almost a god, and you're still hiding in the safe zone?" 
 … 
 (Original name: "A Thousand Years Ahead of Humanity") 
 (This book is also known as "I Pick Up Garbage in the New World", "All Humanity Is Not as Rich as Me", "One Person is a Civilization", "Please Call Me a Human Pioneer", "I'm the Strongest Pioneer", etc.!)
 <div class="author-novels">
 <h3>Author's Other Novels</h3>
 <ul>
 <li><a class="title" title="Deep Space Fleet" target="_blank" serie_id="3226" wtr_ref="author" href="/en/serie-3236/deep-space-fleet">Deep Space Fleet</a></li>
 <li><a class="title" title="Start a Subspace" target="_blank" serie_id="280" wtr_ref="author" href="/en/serie-280/start-a-subspace">Start a Subspace</a></li>
 <li><a class="title" title="The world enters the age of myth" target="_blank" serie_id="5497" wtr_ref="author" href="/en/serie-5507/the-world-enters-the-age-of-myth">The world enters the age of myth</a></li>
 <li><a class="title" title="I live in a desert island property" target="_blank" serie_id="4613" wtr_ref="author" href="/en/serie-4623/i-live-in-a-desert-island-property">I live in a desert island property</a></li>
 <li><a class="title" title="Beneath Deep Space" target="_blank" serie_id="7111" wtr_ref="author" href="/en/serie-7187/beneath-deep-space">Beneath Deep Space</a></li>
 </ul>
 </div>
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 Eight hundred years have passed since psychic particles penetrated reality, and mankind is in an era of universal evolution. 
 Roam through history in the spiritual planes and fight with ancient heroes; 
 Wrestle with mutated behemoths in the demonized forest in the wilderness area; 
 In the highly anticipated supreme arena, compete with the awakened strong ones! 
 Bai Pu, an abandoned son forgotten by the times, was transplanted with a mysterious heart. 
 From then on, the stars in the universe and the realms of spiritual energy all have a smooth path. 
 "In the name of the Supreme God's Heart, I aspire to be the pinnacle of the evolutionary path." 
 -------- 
 The 4.6 million-word novel "Eye of Evolution" of the same genre has been completed. The quality is guaranteed. Welcome to read!
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 A poor household who crossed into a fusion elf world? 
 Xia Chen, who started on the difficulty of hell, said that he was not panicked at all. 
 No money to be a trainer? 
 Then start as a researcher! 
 Research new evolutionary paths, develop little-known elf characteristics, look for super-evolutions and Z-moves that have not yet appeared... 
 After accumulating enough resources, change jobs to be a trainer, become a gym master or a salted fish king, wait to die, and raise a lot of cute elves to spend the rest of your life together. 
 But the life I had planned early was disrupted by a picked up Eevee and various elves with special skills... 
 ————— 
 Ibrahimovic: "When I am reborn, I must make up for the regrets of my previous life, and climb to the peak that no one can reach with Xia Chen!" 
 Menus: "Golden scales are not a thing in the pool! Alola coconut egg trees can be dragons, why can't I become a dragon? Dragon cultivation system, open!" 
 Xanadu: "Why don't all the elf life simulation results have the ending I want? I'm so unwilling, come again!" 
 Little Broken Diamond: "As long as you walk down this road, can you evolve into the legendary Tianxi? I understand!" 
 ... 
 This book is also titled, "I Really Didn't Want to Be Taken Fly by the Elves", "My Elves Have a Big Problem", "My Elves and My Hanging Elves"
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 Chen Wangping, who traveled to the wasteland, got a wasteland farming game system that combines the elements of the Alien Factory, the Dyson Sphere Project, and Stardew Valley. 
 As long as you save enough resources, you can create a series of super items according to the blueprint! 
 【Magnet】×1+【Copper wire】×1=【Magnetic coil】×1. 
 【Iron Sheet】×6+【Gear Set】×2+【Magnetic Coil】×4+【Copper Wire】×10=【Wind Generator】×1. 
 【Iron Plate】×5+【Wood】×5+【Magnetic Coil】×1=【Seed Finder】×1. 
 【Iron Plate】×2+【Animal Hair】×5+【Animal Tendon】×2=【Iron Fishing Rod】×1. 
 … 
 【Phoenix Egg】×5+【Kui Cow Horn】×2+【Sun Seed】×5=【Artificial World Soil】×1. 
 【Titanium Alloy】×30+【Stellar Frame】×2+【Fusion Constrictor】×4+【Quantum Chip】×10=【Artificial Star】×1. 
 In the face of this barren wasteland world where there are many forces, chaos and disorder, people’s hearts are floating, and living beings are ruined. 
 Chen Wangping has only one wish: 
 Don’t mess with me, let me save more resources. 
 if you mess with me. 
 Then your resources are mine. 
 Book Friends Group: 778444298
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 Lin can also travel through the film and television plane at will:
 
 Talk and laugh with Iron Man; play ignorance with Xiaolongnu; play basketball with Dayao; and become brothers with Dasheng.
 
 This is not the point, the point is:
 
 Complete the tasks of the film and television planes, obtain evolution points, evolve the body, and purchase the skills in the “Prototype 2” game: gliding, terminator, creature tracking, wolf call, black hole attack…
 
 These skills make him a BUG-like existence no matter in reality or in the plane of film and television.
 
 At the same time, the mysterious man A also gradually surfaced…
 
 ———–
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 [When I lose consciousness, the seal will be unlocked, and I will be invincible directly, and even gods will be afraid] 
 (Crusou SCP+Strange Horror Revival+Mutation Evolution+Daily 10,000 Words) Murderous rain, throat-slitting wind, corpses resurrected, severed hands crawled out of the ground, and the grass and trees opened their eyes. In the pitch-black darkness, Langren closed his eyes tightly, wearing pajamas, and his body began to sleepwalk uncontrollably. In his sleep, he broke into the cemetery of the old gods. When he woke up, he found that he had eaten a god... 
 —— 
 "My name is Langren. Recently, some blind people said that I was covered with sickles, my blood could fill the sea, and my leg hair alone was 10,000 meters long. The more they said, the more outrageous it was. Don't believe in rumors or spread them. For this reason, I solemnly come forward to clarify that it is not my leg hair, it is the sickle that grew on my body." 
 ……… 
 One punch to stop the wind and rain, there is no god in the world. He who cannot be looked at directly wakes up from his long sleep. The shadows in the darkness cover the sky and the earth. In this strange world, there is a truth - don't go out after dark, the strange night will take your soul. 
 [Hint: You have entered the strange night and lost your vision. One hundred meters to the left, there are a lot of steel centipedes lurking on the ground. Three hundred meters to the right, there are many fast-moving species staring at you. ] 
 [There is a mysterious egg three hundred meters behind. Get it and you will awaken a new bloodline power. ] 
 [Be careful! There is a tide of beasts in front of you. If you don't run, you may be a brave man again in eighteen years. ]
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 Zhou Yu obtained the sparkling civilization scientist training system and formed his own technology tree. It absorbed enough knowledge to grow new technology.
 The fake Xueba incarnates the technology of Shennong, and has worked hard to cultivate its own technology tree to make it more lush and accidentally promote the progress of civilization.
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 I was the goblin tyrant who ruled Sunset Forest... 
 I was once an immortal hero who broke through the Holy Pen War overnight... 
 I was the maker of the last Philosopher's Stone... 
 I was once a hero who slaughtered gods with mortal bodies... 
 I used to be the progenitor giant who created the age of mythology... 
 These epic pasts were inscribed in the book of contract, and became the deck used by Ye Qiong one by one. When other people were still hunting monsters and looking for remains for cards, he had already stepped into reincarnation again and again. And these reincarnation experiences will be transformed into magical cards.
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 "This is the tenth day of my time travel, and the world is becoming more and more abnormal..." 
 "I'm not infected, but I don't know why, I always do things I don't know..." 
 "I found out that I was wrong, I never traveled through time!" 
 "I don't know since when, the eyes of people around me are full of deep fear..." 
 "I seem to understand something..." 
 "It turns out that I was directing and acting in everything!"
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Start as a top student and move towards the stars and the sea

Chapter 9 He is not a mathematics major

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Start as a top student and move towards the stars and the sea

Chapter 9 He is not a mathematics major

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