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  2. Multiplicative inverse - Wikipedia

    en.wikipedia.org/wiki/Multiplicative_inverse

    For the multiplicative inverse of a real number, divide 1 by the number. For example, the reciprocal of 5 is one fifth (1/5 or 0.2), and the reciprocal of 0.25 is 1 divided by 0.25, or 4. The reciprocal function, the function f(x) that maps x to 1/x, is one of the simplest examples of a function which is its own inverse (an involution).

  3. List of sums of reciprocals - Wikipedia

    en.wikipedia.org/wiki/List_of_sums_of_reciprocals

    The sum of the reciprocals of the cubes of positive integers is called Apéry's constant ζ(3) , and equals approximately 1.2021 . This number is irrational, but it is not known whether or not it is transcendental. The reciprocals of the non-negative integer powers of 2 sum to 2 . This is a particular case of the sum of the reciprocals of any ...

  4. Symmetric level-index arithmetic - Wikipedia

    en.wikipedia.org/wiki/Symmetric_level-index...

    A sign bit may also be used to allow negative numbers. One takes sgn ( X ) and stores it (after substituting +1 for 0 for the sign; since for X = 0 the LI image is x = 0.0 and uniquely defines X = 0 , we can do away without a third state and use only one bit for the two states −1 and +1 [ clarification needed ] ) as the sign s X .

  5. Harmonic number - Wikipedia

    en.wikipedia.org/wiki/Harmonic_number

    The harmonic number with = ⌊ ⌋ (red line) with its asymptotic limit + ⁡ (blue line) where is the Euler–Mascheroni constant.. In mathematics, the n-th harmonic number is the sum of the reciprocals of the first n natural numbers: [1] = + + + + = =.

  6. Harmonic mean - Wikipedia

    en.wikipedia.org/wiki/Harmonic_mean

    [3] The harmonic mean is the reciprocal of the arithmetic mean of the ... The red line shows that the harmonic mean of a number and its negative is undefined as the ...

  7. Reciprocal rule - Wikipedia

    en.wikipedia.org/wiki/Reciprocal_rule

    In calculus, the reciprocal rule gives the derivative of the reciprocal of a function f in terms of the derivative of f. The reciprocal rule can be used to show that the power rule holds for negative exponents if it has already been established for positive exponents.

  8. Fast inverse square root - Wikipedia

    en.wikipedia.org/wiki/Fast_inverse_square_root

    Lighting and reflection calculations, as in the video game OpenArena, use the fast inverse square root code to compute angles of incidence and reflection.. Fast inverse square root, sometimes referred to as Fast InvSqrt() or by the hexadecimal constant 0x5F3759DF, is an algorithm that estimates , the reciprocal (or multiplicative inverse) of the square root of a 32-bit floating-point number in ...

  9. Additive inverse - Wikipedia

    en.wikipedia.org/wiki/Additive_inverse

    In elementary mathematics, the additive inverse is often referred to as the opposite number, [3] [4] or its negative. [5] The unary operation of arithmetic negation [6] is closely related to subtraction [7] and is important in solving algebraic equations. [8] Not all sets where addition is defined have an additive inverse, such as the natural ...