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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. Division by zero - Wikipedia

    en.wikipedia.org/wiki/Division_by_zero

    The reciprocal function y = ⁠ 1 / x ⁠. As x approaches zero from the right, y tends to positive infinity. As x approaches zero from the left, y tends to negative infinity. In mathematics, division by zero, division where the divisor (denominator) is zero, is a unique and problematic special case.

  5. Arithmetic - Wikipedia

    en.wikipedia.org/wiki/Arithmetic

    The reciprocal of a number is 1 divided by that number. ... 7 divided by 2 is 3 with a remainder of 1. ... The concept of negative numbers itself is significantly ...

  6. 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] = + + + + = =.

  7. Inverse-chi-squared distribution - Wikipedia

    en.wikipedia.org/wiki/Inverse-chi-squared...

    The inverse chi-squared distribution (or inverted-chi-square distribution [1]) is the probability distribution of a random variable whose multiplicative inverse (reciprocal) has a chi-squared distribution.

  8. Modular multiplicative inverse - Wikipedia

    en.wikipedia.org/wiki/Modular_multiplicative_inverse

    A reduced residue system modulo 10 could be {1, 3, 7, 9}. The product of any two congruence classes represented by these numbers is again one of these four congruence classes. This implies that these four congruence classes form a group, in this case the cyclic group of order four, having either 3 or 7 as a (multiplicative) generator.

  9. Division algorithm - Wikipedia

    en.wikipedia.org/wiki/Division_algorithm

    Long division is the standard algorithm used for pen-and-paper division of multi-digit numbers expressed in decimal notation. It shifts gradually from the left to the right end of the dividend, subtracting the largest possible multiple of the divisor (at the digit level) at each stage; the multiples then become the digits of the quotient, and the final difference is then the remainder.