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  2. Multiplication table - Wikipedia

    en.wikipedia.org/wiki/Multiplication_table

    Figure 2 is used for the multiples of 2, 4, 6, and 8. These patterns can be used to memorize the multiples of any number from 0 to 10, except 5. As you would start on the number you are multiplying, when you multiply by 0, you stay on 0 (0 is external and so the arrows have no effect on 0, otherwise 0 is used as a link to create a perpetual cycle).

  3. Mental calculation - Wikipedia

    en.wikipedia.org/wiki/Mental_calculation

    For example: 24 x 11 = 264 because 2 + 4 = 6 and the 6 is placed in between the 2 and the 4. Second example: 87 x 11 = 957 because 8 + 7 = 15 so the 5 goes in between the 8 and the 7 and the 1 is carried to the 8. So it is basically 857 + 100 = 957.

  4. 34 (number) - Wikipedia

    en.wikipedia.org/wiki/34_(number)

    34 is the twelfth semiprime, [1] with four divisors including 1 and itself. Specifically, 34 is the ninth distinct semiprime, it being the sixth of the form .Its neighbors 33 and 35 are also distinct semiprimes with four divisors each, where 34 is the smallest number to be surrounded by numbers with the same number of divisors it has.

  5. 1 + 2 + 3 + 4 + ⋯ - ⋯ - Wikipedia

    en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E...

    For example, if zeroes are inserted into arbitrary positions of a divergent series, it is possible to arrive at results that are not self-consistent, let alone consistent with other methods. In particular, the step 4c = 0 + 4 + 0 + 8 + ⋯ is not justified by the additive identity law alone. For an extreme example, appending a single zero to ...

  6. Table of divisors - Wikipedia

    en.wikipedia.org/wiki/Table_of_divisors

    d() is the number of positive divisors of n, including 1 and n itself; σ() is the sum of the positive divisors of n, including 1 and n itselfs() is the sum of the proper divisors of n, including 1 but not n itself; that is, s(n) = σ(n) − n

  7. Index of coincidence - Wikipedia

    en.wikipedia.org/wiki/Index_of_coincidence

    Sometimes values are reported without the normalizing denominator, for example 0.067 = 1.73/26 for English; such values may be called κ p ("kappa-plaintext") rather than IC, with κ r ("kappa-random") used to denote the denominator 1/c (which is the expected coincidence rate for a uniform distribution of the same alphabet, 0.0385=1/26 for ...

  8. Locomotives of the Highland Railway - Wikipedia

    en.wikipedia.org/wiki/Locomotives_of_the...

    David Jones designed several classes of 4-4-0, and was also notable for introducing the 4-6-0 wheel arrangement to the UK. He also produced small numbers of 0-4-4ST, 2-4-0, 2-4-0T and 4-4-0T locomotives. Of 88 engines built to Jones' design (including 3 built as late as 1917), 74 passed to the LMS in 1923.

  9. 4-6-4+4-6-4 - Wikipedia

    en.wikipedia.org/wiki/4-6-4+4-6-4

    The 4-6-4+4-6-4 was the fifth most common Garratt wheel arrangement, with 84 locomotives constructed, 74 by Garratt patent owner Beyer, Peacock & Company between 1936 and 1950 and ten under sub-contract from Beyer, Peacock by Belgian manufacturer Société Franco-Belge in 1952. [1] [2] Only three railway systems used this wheel arrangement.