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  2. 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 ...

  3. C mathematical functions - Wikipedia

    en.wikipedia.org/wiki/C_mathematical_functions

    decomposes a number into significand and a power of 2 ldexp: multiplies a number by 2 raised to a power modf: decomposes a number into integer and fractional parts scalbn scalbln: multiplies a number by FLT_RADIX raised to a power nextafter nexttoward: returns next representable floating-point value towards the given value copysign

  4. Fourth power - Wikipedia

    en.wikipedia.org/wiki/Fourth_power

    n 4 = n × n × n × n. Fourth powers are also formed by multiplying a number by its cube. Furthermore, they are squares of squares. Some people refer to n 4 as n tesseracted, hypercubed, zenzizenzic, biquadrate or supercubed instead of “to the power of 4”. The sequence of fourth powers of integers, known as biquadrates or tesseractic ...

  5. Modular exponentiation - Wikipedia

    en.wikipedia.org/wiki/Modular_exponentiation

    The most direct method of calculating a modular exponent is to calculate b e directly, then to take this number modulo m.Consider trying to compute c, given b = 4, e = 13, and m = 497:

  6. Exponentiation by squaring - Wikipedia

    en.wikipedia.org/wiki/Exponentiation_by_squaring

    Yao's method collects in u first those x i that appear to the highest power ⁠ ⁠; in the next round those with power ⁠ ⁠ are collected in u as well etc. The variable y is multiplied ⁠ h − 1 {\displaystyle h-1} ⁠ times with the initial u , ⁠ h − 2 {\displaystyle h-2} ⁠ times with the next highest powers, and so on.

  7. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    Then we can substitute again, letting x = b and y = c, to show that if bc = 0 then b = 0 or c = 0. Therefore, if abc = 0, then a = 0 or (b = 0 or c = 0), so abc = 0 implies a = 0 or b = 0 or c = 0. If the original fact were stated as "ab = 0 implies a = 0 or b = 0", then when saying "consider abc = 0," we would have a conflict of terms when ...

  8. Falling and rising factorials - Wikipedia

    en.wikipedia.org/wiki/Falling_and_rising_factorials

    On the other hand, () is "the number of ways to arrange flags on flagpoles", [8] where all flags must be used and each flagpole can have any number of flags. Equivalently, this is the number of ways to partition a set of size n {\displaystyle n} (the flags) into x {\displaystyle x} distinguishable parts (the poles), with a linear order on the ...

  9. Euler's formula - Wikipedia

    en.wikipedia.org/wiki/Euler's_formula

    Euler's formula states that, for any real number x, one has = ⁡ + ⁡, where e is the base of the natural logarithm, i is the imaginary unit, and cos and sin are the trigonometric functions cosine and sine respectively.