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  2. Abel's summation formula - Wikipedia

    en.wikipedia.org/wiki/Abel's_summation_formula

    Fix a complex number .If = for and () =, then () = ⌊ ⌋ and the formula becomes = ⌊ ⌋ = ⌊ ⌋ + ⌊ ⌋ +. If () >, then the limit as exists and yields the ...

  3. Singleton (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Singleton_(mathematics)

    This implies that a singleton is necessarily distinct from the element it contains, [1] thus 1 and {} are not the same thing, and the empty set is distinct from the set containing only the empty set. A set such as { { 1 , 2 , 3 } } {\displaystyle \{\{1,2,3\}\}} is a singleton as it contains a single element (which itself is a set, but not a ...

  4. List of Excel Saga characters - Wikipedia

    en.wikipedia.org/wiki/List_of_Excel_Saga_characters

    Excel Kobayashi and Mikako Hyatt are a pair of self-promoting, neophyte voice actresses who cosplay as Excel and Hyatt and perform the opening song "Ai (Chuuseishin)" as the Excel Girls. They appear in only three episodes (Episodes 5, 9, and 13) of the anime, in which they often receive much comedic physical abuse at the hands of the real Excel.