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  2. Floor and ceiling functions - Wikipedia

    en.wikipedia.org/wiki/Floor_and_ceiling_functions

    The fractional part function has Fourier series expansion [19] {} = = ⁡ for x not an integer. At points of discontinuity, a Fourier series converges to a value that is the average of its limits on the left and the right, unlike the floor, ceiling and fractional part functions: for y fixed and x a multiple of y the Fourier series given ...

  3. Integer partition - Wikipedia

    en.wikipedia.org/wiki/Integer_partition

    Partitions of n with largest part k. In number theory and combinatorics, a partition of a non-negative integer n, also called an integer partition, is a way of writing n as a sum of positive integers. Two sums that differ only in the order of their summands are considered the same partition. (If order matters, the sum becomes a composition.)

  4. Common logarithm - Wikipedia

    en.wikipedia.org/wiki/Common_logarithm

    An important property of base-10 logarithms, which makes them so useful in calculations, is that the logarithm of numbers greater than 1 that differ by a factor of a power of 10 all have the same fractional part. The fractional part is known as the mantissa. [b] Thus, log tables need only show the fractional part. Tables of common logarithms ...

  5. Partition function (number theory) - Wikipedia

    en.wikipedia.org/wiki/Partition_function_(number...

    The function q(n) gives the number of these strict partitions of the given sum n. For example, q(3) = 2 because the partitions 3 and 1 + 2 are strict, while the third partition 1 + 1 + 1 of 3 has repeated parts. The number q(n) is also equal to the number of partitions of n in which only odd summands are permitted. [20]

  6. Complex-base system - Wikipedia

    en.wikipedia.org/wiki/Complex-base_system

    The complex numbers with integer part all zeroes in the base i – 1 system. Of particular interest are the quater-imaginary base (base 2i) and the base −1 ± i systems discussed below, both of which can be used to finitely represent the Gaussian integers without sign.

  7. Q (number format) - Wikipedia

    en.wikipedia.org/wiki/Q_(number_format)

    The Q notation is a way to specify the parameters of a binary fixed point number format. For example, in Q notation, the number format denoted by Q8.8 means that the fixed point numbers in this format have 8 bits for the integer part and 8 bits for the fraction part. A number of other notations have been used for the same purpose.

  8. Child and Dependent Care Tax Credit: Eligibility, Benefits ...

    www.aol.com/child-dependent-care-tax-credit...

    For Part I, include information about your care provider, such as their name, address, and Tax ID or Social Security number. For Part II, enter your expenses and follow the instructions to compute ...

  9. Integer square root - Wikipedia

    en.wikipedia.org/wiki/Integer_square_root

    In number theory, the integer square root (isqrt) of a non-negative integer n is the non-negative integer m which is the greatest integer less than or equal to the square root of n, ⁡ = ⌊ ⌋. For example, isqrt ⁡ ( 27 ) = ⌊ 27 ⌋ = ⌊ 5.19615242270663... ⌋ = 5. {\displaystyle \operatorname {isqrt} (27)=\lfloor {\sqrt {27}}\rfloor ...