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| -rw-r--r-- | doc/algorithms.tex | 4 |
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diff --git a/doc/algorithms.tex b/doc/algorithms.tex index 810d06d..3ab0849 100644 --- a/doc/algorithms.tex +++ b/doc/algorithms.tex @@ -1033,6 +1033,10 @@ there is $0 < \xi < \epsilon_1$ with \end {equation} For instance $\epsilon \leq \epsilon_1$ for $\epsilon_1 \leq \frac {3}{4}$. +We even have $\epsilon \leq \epsilon_1$ for $\epsilon_1 \leq 1$, +since $1 - \sqrt{1-x}$ is bounded by $x$ +for $0 < x \leq 1$, which comes from $1 - x \leq \sqrt{1-x}$. + \subsubsection {Logarithm} |