e^pi + 1 = 24.14... how the square root of -1 changes this to zero seems incomprehensible
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Because it rotates you 90 degrees in the plane and has you follow a circular path ... which has length pi by the time you are halfway around at -1
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There’s nothing sadder than an imaginary pie.
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Understandable, It's the negative one.
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My most favorite one. A formula linking miraculously in a very short and simple manner three mathematical constants having nothing to do with each other.
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Five actually (unless you consider 0 and 1 as identity elements)
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But the way how could he guess such a beautiful formula?
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You can find the formula by looking at the Taylor Expansions of e^x, cos x and sin x.pic.twitter.com/Lmi7r8g7MK
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Curiously, Euler’s identity was stolen late in life during his work in St. Petersberg. Confused, he would often meander around the public market crying, “Hallo, suchst Du nach mir?” Two hundred years later these words in English became lyrics in the Lionel Ritchie song “Hello.”
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