| 单词 | exponential |
| 释义 | exponential A mathematical function with the property that it is equal to its own first derivative. Define ex = exp(x) = 1 + x + (x2 /2[excl]) + (x3 /3[excl]) + … + (xN /N[excl]) + …, where N[excl] denotes N factorial = N(N - 1) (N - 2) … (2)(1). If this series is differentiated term by term, the same series is obtained; every term equals the derivative of the term following, and the derivative of 1 is 0. The same series with x = 1 gives e = exp(1), the exponential constant, which is the base for natural logarithms: the natural logarithm (ln) of ex is x. If x = gt, the exponential egt grows over time at the proportional rate g. |
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