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"Four eleven forty-four", or "'4-11-44"' is a phrase that has been used repeatedly in popular music and as a reference to numbers allegedly chosen by poor African Americans for the purpose of gambling on lotteries. It was a well-known phrase in the 19th and early 20th centuries in the United States.
A solution for integers of the form n = 4k + 1 could be given by a set of 2k (+1)s and 2k (−1)s and n itself. (This generalizes the example of 5 given above.) Although not obvious from the definition, the set of amenable numbers is closed under multiplication (the product of two amenable numbers is an amenable number).
A sub-section of the letters page devoted to pedantic corrections of or additions to previous articles or readers' letters. Under its previous title, 'Pedants Corner', this included several letters on the use of the apostrophe in "Pedants'", which has variously appeared as "Pedants", "Pedant's" or "Ped'ants Corner". It was renamed "Pedantry ...
Aronson's sequence is an integer sequence defined by the English sentence "T is the first, fourth, eleventh, sixteenth, ... letter in this sentence." Spaces and punctuation are ignored. Spaces and punctuation are ignored.
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In particular, finite direct product of amenable groups are amenable, although infinite products need not be. Direct limits of amenable groups are amenable. In particular, if a group can be written as a directed union of amenable subgroups, then it is amenable. Amenable groups are unitarizable; the converse is an open problem.
In the majority of alternades, every second letter is used to make two smaller words, but in some cases, every third letter is used to make three smaller words. Theoretically, a very long word could use every fourth letter to make four smaller words; e.g., «partitioned» is an alternade for «pin», «ate», «rid», and «to».
Multiple marks on silver, left to right: maker's mark (), lion passant (assay mark for sterling silver), London town mark, date letter (1835), duty mark A mark is a written or imprinted symbol used to indicate some trait of an item, for example, its ownership or maker.