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  2. Modular arithmetic - Wikipedia

    en.wikipedia.org/wiki/Modular_arithmetic

    Adding 4 hours to 9 o'clock gives 1 o'clock, since 13 is congruent to 1 modulo 12. In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus. The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his book Disquisitiones ...

  3. Multiplicative group of integers modulo n - Wikipedia

    en.wikipedia.org/wiki/Multiplicative_group_of...

    n. In modular arithmetic, the integers coprime (relatively prime) to n from the set of n non-negative integers form a group under multiplication modulo n, called the multiplicative group of integers modulo n. Equivalently, the elements of this group can be thought of as the congruence classes, also known as residues modulo n, that are coprime to n.

  4. Modulo - Wikipedia

    en.wikipedia.org/wiki/Modulo

    Given two positive numbers a and n, a modulo n (often abbreviated as a mod n) is the remainder of the Euclidean division of a by n, where a is the dividend and n is the divisor. [ 1 ] For example, the expression "5 mod 2" evaluates to 1, because 5 divided by 2 has a quotient of 2 and a remainder of 1, while "9 mod 3" would evaluate to 0 ...

  5. Google Docs Editors - Wikipedia

    en.wikipedia.org/wiki/Google_Docs_Editors

    Google Docs Editors is a web-based productivity office suite offered by Google within its Google Drive service. The suite includes Google Docs (word processor), Google Sheets (spreadsheet), Google Slides (presentation software), Google Drawings (vector drawing program), Google Forms (online forms, quizzes and surveys), Google Sites (graphical website editor), Google Keep (note-taking ...

  6. 9 Free, Easy-To-Use Budget Templates and Spreadsheets - AOL

    www.aol.com/9-free-easy-budget-templates...

    Instead, here are nine completely free, simple-to-use budget templates and spreadsheets that are available to download right now. 1. Microsoft Excel Personal Monthly Budget Spreadsheet. Where to ...

  7. Google Sheets - Wikipedia

    en.wikipedia.org/wiki/Google_Sheets

    Google Sheets. Google Sheets is a spreadsheet application and part of the free, web-based Google Docs Editors suite offered by Google. Google Sheets is available as a web application; a mobile app for: Android, iOS, and as a desktop application on Google's ChromeOS. The app is compatible with Microsoft Excel file formats. [3]

  8. Quadratic residue - Wikipedia

    en.wikipedia.org/wiki/Quadratic_residue

    Let p be an odd prime. The quadratic excess E (p) is the number of quadratic residues on the range (0, p /2) minus the number in the range (p /2, p) (sequence A178153 in the OEIS). For p congruent to 1 mod 4, the excess is zero, since −1 is a quadratic residue and the residues are symmetric under r ↔ p − r.

  9. Google Docs - Wikipedia

    en.wikipedia.org/wiki/Google_Docs

    Google Docs is an online word processor and part of the free, web-based Google Docs Editors suite offered by Google. Google Docs is accessible via an internet browser as a web-based application and is also available as a mobile app on Android and iOS and as a desktop application on Google's ChromeOS. Google Docs allows users to create and edit ...