有足够的时间进化
There's plenty of time for evolution
摘要：
对达尔文进化论的反对通常是基于进行必要的突变所需的时间。似乎需要指数数量的突变。我们发现，这样的估计忽略了自然选择的影响，必要的突变的数量，从而减少到约$K\log{L}$，而不是$K^L$，其中$L$是基因组“字”的长度，和$K$是可能的“字母”，可以占据任何位置的字的数量。所需的理论与理论计算机科学中的根交换排序理论以及那里发生的某些和的渐近分析有关。
英文摘要：
Objections to Darwinian evolution are often based on the time required to carry out the necessary mutations. Seemingly, exponential numbers of mutations are needed. We show that such estimates ignore the effects of natural selection, and that the numbers of necessary mutations are thereby reduced to about $K\log{L}$, rather than $K^L$, where $L$ is the length of the genomic "word", and $K$ is the number of possible "letters" that can occupy any position in the word. The required theory makes contact with the theory of radix-exchange sorting in theoretical computer science, and the asymptotic analysis of certain sums that occur there.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
