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  2. Multiplication table - Wikipedia

    en.wikipedia.org/wiki/Multiplication_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.

  3. Senary - Wikipedia

    en.wikipedia.org/wiki/Senary

    Senary is also the largest number base r that has no totatives other than 1 and r − 1, making its multiplication table highly regular for its size, minimizing the amount of effort required to memorize its table. This property maximizes the probability that the result of an integer multiplication will end in zero, given that neither of its ...

  4. ErdÅ‘s–Tenenbaum–Ford constant - Wikipedia

    en.wikipedia.org/wiki/ErdÅ‘s–Tenenbaum–Ford...

    Multiplication table problem. For each positive integer , let () be the number of distinct integers in an multiplication table. In 1960, [5] Erdős ...

  5. Multiplication - Wikipedia

    en.wikipedia.org/wiki/Multiplication

    Multiplication by a positive number preserves the order: For a > 0, if b > c, then ab > ac. Multiplication by a negative number reverses the order: For a < 0, if b > c, then ab < ac. The complex numbers do not have an ordering that is compatible with both addition and multiplication. [30]

  6. Sedenion - Wikipedia

    en.wikipedia.org/wiki/Sedenion

    The table and its triads have been constructed from an octonion represented by the bolded set of 7 triads using Cayley–Dickson construction. It is one of 480 possible sets of 7 triads (one of two shown in the octonion article) and is the one based on the Cayley–Dickson construction of quaternions from two possible quaternion constructions ...

  7. Cayley table - Wikipedia

    en.wikipedia.org/wiki/Cayley_table

    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.

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