书籍的词频大小与翻译不变性
Size dependent word frequencies and translational invariance of books
摘要：
它表明，一个真正的小说共享许多特征与空模型，其中的话是随机分布在整个文本。这样一个共同的特征就是文本具有一定的翻译不变性。另一个是小说词频分布的函数形式与空模型一样依赖于文本的长度。这意味着归因于数据的近似幂律尾部将具有随着被分析的文本部分的大小而变化的指数。更进一步的结果是，小说不能用西蒙模型这样的文本进化模型来描述。一部小说的大小变换被发现是很好地描述了一个特定的随机书变换。此外，这种大小变换能够更精确地确定词频分布的函数形式。的影响的结果进行了讨论。
英文摘要：
It is shown that a real novel shares many characteristic features with a null model in which the words are randomly distributed throughout the text. Such a common feature is a certain translational invariance of the text. Another is that the functional form of the word-frequency distribution of a novel depends on the length of the text in the same way as the null model. This means that an approximate power-law tail ascribed to the data will have an exponent which changes with the size of the text-section which is analyzed. A further consequence is that a novel cannot be described by text-evolution models like the Simon model. The size-transformation of a novel is found to be well described by a specific Random Book Transformation. This size transformation in addition enables a more precise determination of the functional form of the word-frequency distribution. The implications of the results are discussed.
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。
