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  2. Integer programming - Wikipedia

    en.wikipedia.org/wiki/Integer_programming

    These algorithms can also be used for mixed integer linear programs (MILP) - programs in which some variables are integer and some variables are real. [23] The original algorithm of Lenstra [ 14 ] : Sec.5 has run-time 2 O ( n 3 ) ⋅ p o l y ( d , L ) {\displaystyle 2^{O(n^{3})}\cdot poly(d,L)} , where n is the number of integer variables, d is ...

  3. Presburger arithmetic - Wikipedia

    en.wikipedia.org/wiki/Presburger_arithmetic

    Presburger arithmetic is much weaker than Peano arithmetic, which includes both addition and multiplication operations. Unlike Peano arithmetic, Presburger arithmetic is a decidable theory . This means it is possible to algorithmically determine, for any sentence in the language of Presburger arithmetic, whether that sentence is provable from ...

  4. Operation (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Operation_(mathematics)

    In mathematics, an operation is a function from a set to itself. For example, an operation on real numbers will take in real numbers and return a real number. An operation can take zero or more input values (also called "operands" or "arguments") to a well-defined output value.

  5. Residue number system - Wikipedia

    en.wikipedia.org/wiki/Residue_number_system

    A residue numeral system (RNS) is a numeral system representing integers by their values modulo several pairwise coprime integers called the moduli. This representation is allowed by the Chinese remainder theorem, which asserts that, if M is the product of the moduli, there is, in an interval of length M, exactly one integer having any given set of modular values.

  6. Computational complexity of mathematical operations - Wikipedia

    en.wikipedia.org/wiki/Computational_complexity...

    Here we consider operations over polynomials and n denotes their degree; for the coefficients we use a unit-cost model, ignoring the number of bits in a number. In practice this means that we assume them to be machine integers.

  7. Arbitrary-precision arithmetic - Wikipedia

    en.wikipedia.org/wiki/Arbitrary-precision_arithmetic

    The computer may also offer facilities for splitting a product into a digit and carry without requiring the two operations of mod and div as in the example, and nearly all arithmetic units provide a carry flag which can be exploited in multiple-precision addition and subtraction. This sort of detail is the grist of machine-code programmers, and ...

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