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''Ad infinitum'' is a Latin phrase meaning "to infinity" or "forevermore". ==Description== In context, it usually means "continue forever, without limit" and thus can be used to describe a non-terminating process, a non-terminating ''repeating'' process, or a set of instructions to be repeated "forever," among other uses. It may also be used in a manner similar to the Latin phrase ''et cetera'' to denote written words or a concept that continues for a lengthy period beyond what is shown. Examples include: *"The sequence 1, 2, 3, ... continues ''ad infinitum''." *"The perimeter of a fractal may be iteratively drawn ''ad infinitum''." *The 17th-century writer Jonathan Swift wrote lightheartedly the idea of self-similarity in natural philosophy with the following lines in his poem "On Poetry: A Rhapsody":〔Jonathan Swift, "On Poetry: A Rhapsody", pub. 1733〕 *The Victorian era mathematician Augustus De Morgan expanded on this with a similar verse:〔Augustus de Morgan, ''A Budget of Paradoxes'', pub. 1872, p. 377〕 This text is part of the nursery rhyme "The Siphonaptera". 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「ad infinitum」の詳細全文を読む スポンサード リンク
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