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Ad infinitum

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Ad infinitum拉丁文常用短語,意「無限」、「永遠」。

描述

在上下文中通常意味「永遠繼續、沒有限制」,可描述一永不終止的過程、一永不終止的重複過程、一永遠重複的指令。類似於短語et cetera

例子包括:「1, 2, 3, ... continues(繼續) ad infinitum.」


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  • "The perimeter of a fractal may be iteratively drawn ad infinitum."

The 17th-century writer Jonathan Swift incorporated the idea of self-similarity in the following lines from his satirical poem On Poetry: a Rhapsody (1733):

The vermin only teaze and pinch
Their foes superior by an inch.
So, naturalists observe, a flea
Has smaller fleas that on him prey;
And these have smaller still to bite 'em,
And so proceed ad infinitum.
Thus every poet, in his kind,
Is bit by him that comes behind[1]

The mathematician Augustus De Morgan included similar lines in his rhyme Siphonaptera.[2]

參見

參考

  1. ^ Swift, Jonathan. On Poetry: a Rhapsody. 1733 [14 December 2017]. (原始內容存檔於2022-01-21). 
  2. ^ De Morgan, Augustus. Smith, David Eugene , 編. A Budget of Paradoxes II 2nd. 1915: 191 [2023-01-08]. (原始內容存檔於2022-05-11). 

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