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Panther Takahiro Ogata explains difficult mathematical problems in a very serious manner in "Math without Laughing". This time, he will explore the mysterious charm of "prime numbers".
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Panther Takahiro Ogata explains difficult mathematical problems in a very serious manner in "Math without Laughing". This time, he will explore the mysterious charm of "prime numbers". What is the "great mystery" of prime numbers that has been troubling genius mathematicians? Prime numbers are numbers that are divisible only by 1 and themselves. They are also called "the atoms of numbers" because any number can be expressed by multiplying prime numbers. Despite being the most fundamental number, prime numbers are full of mysteries. Among them, the question that has been troubling mathematicians is "at what timing do prime numbers appear?" Prime numbers appear capriciously, and no regularity can be found at all. What significance is hidden in this sequence of prime numbers? Panther Ogata approaches the "Creator's Code."
Panther Takahiro Ogata explains difficult mathematical problems in a very serious manner in "Math without Laughing". The theme this time is "Infinity." This is the story of a
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Panther Takahiro Ogata explains difficult mathematical problems in a very serious manner in "Math without Laughing". The theme this time is "Infinity." This is the story of a mathematician who challenged the "realm of the divine," where no matter how far you go, there is no end. The "natural numbers" continue infinitely: 1, 2, 3, 4, 5, and so on. The "even numbers" also continue infinitely 2, 4, 6, 8, 10... and so on. If you could count up all the "numbers" of each, which would be larger? What if they were rational numbers? If they were "real numbers"? The more you think about it, the more you get lost in the labyrinth. This is the story of a genius mathematician who ventured alone into the world of "infinity," which was said to be "beyond human knowledge." What was the outcome of his battle, armed with the "spirit of freedom"?
Panther Takahiro Ogata explains difficult math problems in a very serious manner in "Math without Laughing". This time, he tries to prove the "Four Color Problem"! The story behind the
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Panther Takahiro Ogata explains difficult math problems in a very serious manner in "Math without Laughing". This time, he tries to prove the "Four Color Problem"! The story behind the map coloring problem is a legendary tale of mathematicians. Can any map be painted in four colors? This "four-color problem," which originated in 19th century London, was easy to understand. However, even genius mathematicians could not prove that it was correct for any map. For the next century, after a succession of attempts and failures, mathematicians became increasingly intimidated. The final proof was met with both applause and controversy. Panther Ogata takes on the challenge of proving this notoriously difficult problem in 30 minutes!
Panther Takahiro Ogata explains difficult math problems in a very serious manner in "Math without Laughing". This time, it is the "P vs. NP Problem" which carries a prize of one million
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Panther Takahiro Ogata explains difficult math problems in a very serious manner in "Math without Laughing". This time, it is the "P vs. NP Problem" which carries a prize of one million dollars. When the century's hardest problem is solved, our lives will change drastically! For example, choosing snacks for a field trip. Is there any combination that can make the price of snacks more than the goal without exceeding the capacity of the knapsack? Do we have to go through countless combinations to find the answer to the "P vs. NP problem"? Or is there a trick to solving it easily? Medicine, economics, war....Will the day come when mathematics can solve all of these problems that affect our daily lives? Is it a dreamlike world that awaits us there, or...?
Panther Takahiro Ogata explains difficult mathematical problems in a very serious manner in "Math without Laughing". This time it is "Poincaré Conjecture". What is the shape of the
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Panther Takahiro Ogata explains difficult mathematical problems in a very serious manner in "Math without Laughing". This time it is "Poincaré Conjecture". What is the shape of the universe? We tackle the hard problem of topology! Poincaré was a genius mathematician active in France at the end of the 19th century. There is an important mathematical prediction he made before his death. However, Poincaré himself could not prove it, and for a century afterward, mathematicians around the world were also unable to solve it. To put Poincaré's prediction in a simple way, is there any way for us in the universe to know whether the shape of the universe is roughly round or not? In other words, how do we know if the shape of the universe is roughly round or not? This is the bizarre story of how the century-old problem was solved by a Russian mathematician in 2006.
Panther Takahiro Ogata explains difficult mathematical problems in a very serious manner in "Mathematics without Laughing". The theme is "imaginary numbers." The mystery of the
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Panther Takahiro Ogata explains difficult mathematical problems in a very serious manner in "Mathematics without Laughing". The theme is "imaginary numbers." The mystery of the mysterious number that "becomes minus when squared." Is an imaginary number an "impossible number"? For mathematicians, who believed that any number could be squared to become a positive number, the "imaginary number" was a number that they could not accept. However, through the persistence of geniuses, imaginary numbers were revealed to be not "imaginary numbers" but incredibly important numbers that are indispensable to this world. This is the spectacular story of how mankind has accepted various numbers throughout history, starting with the natural numbers, then the irrational numbers, and finally zero, leading up to the discovery of imaginary numbers.
Panther Takahiro Ogata explains difficult mathematical problems in a very serious manner in "Mathematics without Laughter." Fermat's Last Theorem was called the greatest mystery in the
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Panther Takahiro Ogata explains difficult mathematical problems in a very serious manner in "Mathematics without Laughter." Fermat's Last Theorem was called the greatest mystery in the history of mathematics. How was the extremely difficult problem finally solved!? In the 17th century, Fermat, a genius mathematician in France, left a note: "There are no natural numbers (1, 2, 3,…) x, y, and z such that x^n + y^n = z^n, in which n is a natural number greater than 2." However, there was no proof left to show that this was correct because "there was no margin on the paper." Is Fermat's statement really correct? Many mathematicians have tried to solve this problem, which even a junior high school student could understand, but failed. This film depicts the drama of the 350-year struggle to reach the proof.
Panther Takahiro Ogata explains difficult mathematical problems in a very serious manner in "Math without Laughing". This time it is "Chaos Theory." Can mathematics predict the future?
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Panther Takahiro Ogata explains difficult mathematical problems in a very serious manner in "Math without Laughing". This time it is "Chaos Theory." Can mathematics predict the future? What is the conclusion that geniuses have reached? In the past, mathematicians were convinced that it was possible to predict the future using mathematical formulas. They believed that mathematical formulas could predict the future. Indeed, it seemed possible to predict the movement of celestial bodies and the trajectory of a thrown ball. However, since the end of the 19th century, facts have been discovered one after another that have overturned this belief, and it has become mathematically clear that much of the world is unpredictable. Chaos," in which the smallest error can rapidly escalate to unpredictable results. This film also explores the mystery of the "chaos" hidden in a soccer shot.
Panther Takahiro Ogata explains difficult mathematical problems in a very serious manner in "Math without Laughing". This time, we will discuss "Cryptography Theory," which makes full
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Panther Takahiro Ogata explains difficult mathematical problems in a very serious manner in "Math without Laughing". This time, we will discuss "Cryptography Theory," which makes full use of the wonders of prime numbers. The mathematicians' unorthodox way of thinking has given birth to the invention of the century! Sending messages and shopping using a cell phone.... The fact is that cryptography allows us to exchange information with peace of mind. We are usually using advanced mathematics in our daily lives. But is there really no danger of someone cracking it? Why is it considered so secure? We will show you the surprising mathematical essence of modern cryptography behind it. The last part of the program is a secret code from Panther Ogata! Please use your mathematical skills to decipher it.
Panther Takahiro Ogata explains difficult mathematical problems in a very serious manner in "Math without Laughing". This time, the "abc Conjecture" proved by Prof. Shinichi Mochizuki of
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Panther Takahiro Ogata explains difficult mathematical problems in a very serious manner in "Math without Laughing". This time, the "abc Conjecture" proved by Prof. Shinichi Mochizuki of Kyoto University. Addition, which is supposed to be easy, gives rise to numerous difficult problems! The "abc Conjecture" is said to be the most important unsolved problem in mathematics. It is an extremely difficult problem related to the "conjunction" of "addition" and "multiplication. In fact, it is said that if the "abc Conjecture" is solved, many difficult problems in the world of mathematics will be solved at once. What is the surprising fact that "addition," which we think is easy, gives rise to many difficult problems?We also introduce the essence of Professor Mochizuki's "Inter Universe Teichmüller Theory", which is considered "super difficult and incomprehensible" among mathematicians!
Panther Takahiro Ogata explains difficult mathematical problems in a very serious manner in "Mathematics without Laughing". This time, we will talk about "Probability Theory." What will
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Panther Takahiro Ogata explains difficult mathematical problems in a very serious manner in "Mathematics without Laughing". This time, we will talk about "Probability Theory." What will the study born from the desire to "winning at gambling" bring to mankind? "Probability theory" is a study to predict what may happen in the future, which is yet to be seen, and to find out what to do about it now. It began in the 17th century when two genius mathematicians, Fermat and Pascal, discussed "how not to lose money gambling." Later, probability theory was developed in pure mathematics and evolved into "modern probability theory," and was once again used as a "tool for making a profit." The insatiable desire of mankind and pure mathematics. This episode explores the power of probability theory, which could influence the future of the world.
Panther Takahiro Ogata explains difficult mathematical problems in a very serious manner in "Mathematics without Laughing". The theme of the last episode is "Galois Theory." In Paris
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Panther Takahiro Ogata explains difficult mathematical problems in a very serious manner in "Mathematics without Laughing". The theme of the last episode is "Galois Theory." In Paris during the Revolution, a posthumous manuscript left by a 20-year-old genius changed mathematics! Evariste Galois was known as a young revolutionary in Paris in the first half of the 19th century. While working hard to overthrow the monarchy, he nurtured his great theory, which could be called the "second dawn of mathematics," in solitude, without anyone understanding it. The posthumous manuscript he wrote on the eve of his death would later open the door to modern mathematics. This time, the heart-stirringly beautiful, yet abstract and illusive core of his theory is visualized in this episode. What is the key concept of "symmetry"? The story of Galois, the ill-fated genius of mathematics, is featured.
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