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  2. Natural number - Wikipedia

    en.wikipedia.org/wiki/Natural_number

    Starting at 0 or 1 has long been a matter of definition. In 1727, Bernard Le Bovier de Fontenelle wrote that his notions of distance and element led to defining the natural numbers as including or excluding 0. [23] In 1889, Giuseppe Peano used N for the positive integers and started at 1, [24] but he later changed to using N 0 and N 1. [25]

  3. Set-theoretic definition of natural numbers - Wikipedia

    en.wikipedia.org/wiki/Set-theoretic_definition...

    Gottlob Frege and Bertrand Russell each proposed defining a natural number n as the collection of all sets with n elements. More formally, a natural number is an equivalence class of finite sets under the equivalence relation of equinumerosity.

  4. Number - Wikipedia

    en.wikipedia.org/wiki/Number

    Set inclusions between the natural numbers (ℕ), the integers (ℤ), the rational numbers (ℚ), the real numbers (ℝ), and the complex numbers (ℂ). A number is a mathematical object used to count, measure, and label.

  5. Numeral system - Wikipedia

    en.wikipedia.org/wiki/Numeral_system

    The first true written positional numeral system is considered to be the Hindu–Arabic numeral system.This system was established by the 7th century in India, [1] but was not yet in its modern form because the use of the digit zero had not yet been widely accepted.

  6. Numero sign - Wikipedia

    en.wikipedia.org/wiki/Numero_sign

    The numero sign or numero symbol, № (also represented as Nº, No̱, №, No., or no.), [1] [2] is a typographic abbreviation of the word number(s) indicating ordinal numeration, especially in names and titles. For example, using the numero sign, the written long-form of the address "Number 29 Acacia Road" is shortened to "№ 29 Acacia Rd ...

  7. Narayana number - Wikipedia

    en.wikipedia.org/wiki/Narayana_number

    An example of a counting problem whose solution can be given in terms of the Narayana numbers ⁡ (,), is the number of words containing ⁠ ⁠ pairs of parentheses, which are correctly matched (known as Dyck words) and which contain ⁠ ⁠ distinct nestings.

  8. National identification number - Wikipedia

    en.wikipedia.org/wiki/National_identification_number

    In Somalia, the National Identification and Registration Authority was established in March 2023. Its mandate includes developing a National Identification Number, designed to streamline administrative processes, enhance security, and mitigate fraud and corruption by verifying identities in both digital and in-person transactions.

  9. 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] = + + + + = =.