| 单词 | natural logarithm |
| 释义 | natural logarithm A logarithm to base e. This is written ln(x); if y = ex, x = ln(y). Ln(x) is the integral of 1/z from z = 1 to z = x. A natural logarithm can be found as the sum of an infinite series; provided |x| ≤ 1, ln(1 + x) = x - (x2 /2) + (x3 /3) - (x4 /4) etc. Differentiating term by term, d[ln(1 + x)]/dx = 1 - x + x2 - x3 + etc. = 1/(1 + x). |
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