Alternatively, e can be called napier's constant after john napier. To five decimal places, the value. ( cos x + i sin x ) n = ( e i x ) n = e i n x = cos ( n x ) + i sin ( n x ) {\displaystyle (\cos x+i\sin x)^ {n}=\left (e^ {ix}\right)^ {n}=e^ {inx}=\cos (nx)+i\sin (nx)} 即 狄默夫公式。 e.
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已知的第一次用到常數e,是萊布尼茨於1690年和1691年給惠更斯的通信,以b表示。 1727年 歐拉 開始用e來表示這常數;而e第一次在出版物用到,是1736年 歐拉 的《力學》(mechanica).
E, or e, is the fifth letter and the second vowel letter of the latin alphabet, used in the modern english alphabet, the alphabets of other western european languages and others worldwide. [2][3] the swiss mathematician jacob bernoulli discovered the constant while studying compound interest. E, mathematical constant that is the base of the natural logarithm function f (x) = ln x and of its related inverse, the exponential function y = ex.