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ad infinitum : ウィキペディア英語版
ad infinitum

''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)
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