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basic_tools:eulers_formula [2021/05/15 18:04] boldstonegoson [Beauty] |
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This shows a deep relationship between the exponential function, the [[basic_tools:imaginary_numbers|imaginary unit]] $i$ and $\pi$. (Pi is the ratio between circumference and diameter shared by all circles.) | This shows a deep relationship between the exponential function, the [[basic_tools:imaginary_numbers|imaginary unit]] $i$ and $\pi$. (Pi is the ratio between circumference and diameter shared by all circles.) | ||
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<blockquote> Like a Shakespearean sonnet that captures the very essence of love, or a painting that brings out the beauty of the human form that is far more than just skin deep, Euler's equation reaches down into the very depths of existence. <cite>[[https://books.google.com/books?id=GvSg5HQ7WPcC&pg=PA1#v=onepage&q&f=false|Keith Devlin]]</cite></blockquote> | <blockquote> Like a Shakespearean sonnet that captures the very essence of love, or a painting that brings out the beauty of the human form that is far more than just skin deep, Euler's equation reaches down into the very depths of existence. <cite>[[https://books.google.com/books?id=GvSg5HQ7WPcC&pg=PA1#v=onepage&q&f=false|Keith Devlin]]</cite></blockquote> | ||
<blockquote> [Euler's equation] is absolutely paradoxical; we cannot understand it, and we don't know what it means, but we have proved it, and therefore we know it must be the truth". <cite>[[https://books.google.com/books?id=eIsyLD_bDKkC&pg=PA160|Benjamin Peirce]]</cite></blockquote> | <blockquote> [Euler's equation] is absolutely paradoxical; we cannot understand it, and we don't know what it means, but we have proved it, and therefore we know it must be the truth". <cite>[[https://books.google.com/books?id=eIsyLD_bDKkC&pg=PA160|Benjamin Peirce]]</cite></blockquote> | ||
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