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  2. Exponentiation by squaring - Wikipedia

    en.wikipedia.org/wiki/Exponentiation_by_squaring

    The method is based on the observation that, for any integer >, one has: = {() /, /,. If the exponent n is zero then the answer is 1. If the exponent is negative then we can reuse the previous formula by rewriting the value using a positive exponent.

  3. C mathematical functions - Wikipedia

    en.wikipedia.org/wiki/C_mathematical_functions

    C mathematical operations are a group of functions in the standard library of the C programming language implementing basic mathematical functions. [1] [2] All functions use floating-point numbers in one manner or another. Different C standards provide different, albeit backwards-compatible, sets of functions.

  4. Order of operations - Wikipedia

    en.wikipedia.org/wiki/Order_of_operations

    a b c = a (b c), which typically is not equal to (a b) c. This convention is useful because there is a property of exponentiation that (a b) c = a bc, so it's unnecessary to use serial exponentiation for this. However, when exponentiation is represented by an explicit symbol such as a caret (^) or arrow (↑), there is no common standard.

  5. Modular exponentiation - Wikipedia

    en.wikipedia.org/wiki/Modular_exponentiation

    Modular exponentiation is the remainder when an integer b (the base) is raised to the power e (the exponent), and divided by a positive integer m (the modulus); that is, c = b e mod m. From the definition of division, it follows that 0 ≤ c < m .

  6. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    The binary number system expresses any number as a sum of powers of 2, and denotes it as a sequence of 0 and 1, separated by a binary point, where 1 indicates a power of 2 that appears in the sum; the exponent is determined by the place of this 1: the nonnegative exponents are the rank of the 1 on the left of the point (starting from 0), and ...

  7. Type signature - Wikipedia

    en.wikipedia.org/wiki/Type_signature

    Thus, calling f x, where f:: a-> b-> c, yields a new function f2:: b-> c that can be called f2 b to produce c. The actual type specifications can consist of an actual type, such as Integer , or a general type variable that is used in parametric polymorphic functions , such as a , or b , or anyType .

  8. Multiplicative function - Wikipedia

    en.wikipedia.org/wiki/Multiplicative_function

    1 C (n), the indicator function of the set C ⊂ Z, for certain sets C. The indicator function 1 C (n) is multiplicative precisely when the set C has the following property for any coprime numbers a and b: the product ab is in C if and only if the numbers a and b are both themselves in C. This is the case if C is the set of squares, cubes, or k-th

  9. C-function - Wikipedia

    en.wikipedia.org/wiki/C-function

    In mathematics, c-function may refer to: Smooth function; Harish-Chandra's c-function in the theory of Lie groups; List of C functions for the programming language C