Division Theorem/Division Algorithm

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This is a proof, with a visualization, of the classic number-theoretic proof of the division theorem/division algorithm. The video includes a "visual demonstration" of the existence part of the theorem (where we also implicitly show how it is an algorithm). We also investigate the well-ordering principle (or least integer principle) and discuss existence and uniqueness style proofs. #math #proof #manim #numbertheory #visualmath #mtbos #visualproof #division #introductiontoproofs #divisiontheorem #divisionalgorithm #existence #uniqueness #subtraction

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Excellent explanation! This made it completely clear to see intuitively why the theorem holds. Thank you!

ΓιάννηςΤσίντζας
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Great job visually explaining the division process!

mathflipped
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1:47 i am not sure i understand this step. why does it equal to 0?

minratos
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Thanks for the tutorial. I just started theory of numbers and was overwhelmed while learning the basics. Now i am a lil bit more confident that i can do it 😄

LilyBlooms-cx
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Who talks like this? Did a Math Book make this video?

davidbarker
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But what implies that the middle must be middle, WHAT?

eliotvarda