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  2. Internet checksum - Wikipedia

    en.wikipedia.org/wiki/Internet_checksum

    The Internet checksum, [1] [2] also called the IPv4 header checksum is a checksum used in version 4 of the Internet Protocol (IPv4) to detect corruption in the header of IPv4 packets. It is carried in the IP packet header , and represents the 16-bit result of summation of the header words.

  3. Subset sum problem - Wikipedia

    en.wikipedia.org/wiki/Subset_sum_problem

    Thus, each list can be generated in sorted form in time (/). Given the two sorted lists, the algorithm can check if an element of the first array and an element of the second array sum up to T in time (/). To do that, the algorithm passes through the first array in decreasing order (starting at the largest element) and the second array in ...

  4. Direct sum of groups - Wikipedia

    en.wikipedia.org/wiki/Direct_sum_of_groups

    The external direct sum of a set of groups {H i} (written as Σ E {H i}) is the subset of Π{H i}, where, for each element g of Σ E {H i}, g i is the identity for all but a finite number of g i (equivalently, only a finite number of g i are not the identity). The group operation in the external direct sum is pointwise multiplication, as in the ...

  5. Checksum - Wikipedia

    en.wikipedia.org/wiki/Checksum

    A checksum is a small-sized block of data derived from another block of digital data for the purpose of detecting errors that may have been introduced during its transmission or storage. By themselves, checksums are often used to verify data integrity but are not relied upon to verify data authenticity. [1]

  6. Aggregate function - Wikipedia

    en.wikipedia.org/wiki/Aggregate_function

    Sum; Others include: Nanmean (mean ignoring NaN values, also known as "nil" or "null") Stddev; Formally, an aggregate function takes as input a set, a multiset (bag), or a list from some input domain I and outputs an element of an output domain O. [1] The input and output domains may be the same, such as for SUM, or may be different, such as ...

  7. Data set - Wikipedia

    en.wikipedia.org/wiki/Data_set

    Various plots of the multivariate data set Iris flower data set introduced by Ronald Fisher (1936). [1]A data set (or dataset) is a collection of data.In the case of tabular data, a data set corresponds to one or more database tables, where every column of a table represents a particular variable, and each row corresponds to a given record of the data set in question.

  8. 3-partition problem - Wikipedia

    en.wikipedia.org/wiki/3-partition_problem

    Conversely, in every solution of S u, since the target sum is 7 T and each element is in ( T /4, 7 T /2), there must be exactly 3 elements per set, so it corresponds to a solution of S r. The ABC-partition problem (also called numerical 3-d matching ) is a variant in which, instead of a set S with 3 m integers, there are three sets A , B , C ...

  9. Adler-32 - Wikipedia

    en.wikipedia.org/wiki/Adler-32

    A is the sum of all bytes in the stream plus one, and B is the sum of the individual values of A from each step. At the beginning of an Adler-32 run, A is initialized to 1, B to 0. The sums are done modulo 65521 (the largest prime number smaller than 2 16). The bytes are stored in network order , B occupying the two most significant bytes.