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Euler's formula

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  1. Various proofs of this formula are possible

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 27, 2008
  2. named after Leonhard Euler, is a mathematical formula in complex analysis that shows a deep relationship between the trigonometric functions and the complex exponential function

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 27, 2008
  3. states that, for any real number x, where e is the base of the natural logarithm, i is the imaginary unit, and cos and sin are the trigonometric functions cosine and sine, with the argument x given in radians rather than in degrees

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 27, 2008
  4. The formula is still valid if x is a complex number, and so some authors refer to the more general complex version as Euler's formula

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 27, 2008
  5. Richard Feynman called Euler's formula "our jewel" and "the most remarkable formula in mathematics"

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 27, 2008
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