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The group {1, −1} above and the cyclic group of order 3 under ordinary multiplication are both examples of abelian groups, and inspection of the symmetry of their Cayley tables verifies this. In contrast, the smallest non-abelian group, the dihedral group of order 6, does not have a symmetric Cayley table.
Multiplication table from 1 to 10 drawn to scale with the upper-right half labeled with prime factorisations. In mathematics, a multiplication table (sometimes, less formally, a times table) is a mathematical table used to define a multiplication operation for an algebraic system.
The highest numerical value banknote ever printed was a note for 1 sextillion pengő (10 21 or 1 milliard bilpengő as printed) printed in Hungary in 1946. In 2009, Zimbabwe printed a 100 trillion (10 14 ) Zimbabwean dollar note, which at the time of printing was worth about US$30. [ 13 ]
A larger table of quarter squares from 1 to 100000 was published by Samuel Laundy in 1856, [9] and a table from 1 to 200000 by Joseph Blater in 1888. [ 10 ] Quarter square multipliers were used in analog computers to form an analog signal that was the product of two analog input signals.
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[1] Later Hindu and Buddhist texts have extended this list, but these lists are no longer mutually consistent and names of numbers larger than 10 8 differ between texts. For example, the Panchavimsha Brahmana lists 10 9 as nikharva , 10 10 vâdava , 10 11 akṣiti , while Śâṅkhyâyana Śrauta Sûtra has 10 9 nikharva , 10 10 samudra , 10 11 ...