this is truly art #fyp #function #ashleykeno17 #relatable | guys at functions
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TikTokbenihxnx
this is truly art #fyp #function #ashleykeno17 #relatable | guys at functions
‍beni(@benihxnx). laid by hellaindica - ‍beni. this is truly art #fyp #function #ashleykeno17 #relatable
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Understanding Polynomials
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Replying to @Evan a long long time ago I made a video on Eisenstein criterion and what it tells us about which polynomials can be factored over the rationals / integers. Today I will actually formally prove this fact. This was one of those theorems that really made me fall in love with algebra when I first saw it. Algebra class has this power of always leaving me with a smile. #math #algebra #numbertheory #polynomials #discretemath
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You give a computer n points. It finds ONE polynomial that passes through all of them. That's interpolation — fitting a smooth curve to your data using the simplest tool in mathematics: polynomials. Sounds foolproof. It isn't. The red curve uses equally spaced points across the interval. At low degree, it looks fine. But as you add more points, something breaks. The polynomial starts thrashing wildly at the edges — exploding away from the true function even as it fits every single point perfectl
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