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Example of a polynomial equation, studied in elementary algebra
Example of a polynomial equation, studied in elementary algebra

Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of statements within these systems. Elementary algebra generalizes arithmetic by using variables in addition to numbers. It covers methods of transforming equations to solve them by isolating variables. Linear algebra examines systems of several linear equations and techniques to determine for which values all equations in a system are true at the same time. Abstract algebra investigates algebraic structures, which consist of a set of objects together with operations defined on that set. It distinguishes algebraic structures, such as groups, rings, and fields, based on their number of operations and the laws they follow. Algebraic methods were first studied in ancient times to solve specific problems. As algebra evolved, it became increasingly abstract and generalized, leading to many applications in other branches of mathematics and the empirical sciences. (Full article...)

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Tip of the day

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What writing style to use

Wikipedia articles are composed and formatted according to the Manual of Style (MOS). MOS sets the house standard on Wikipedia for attributes like link formatting, capitalization, punctuation, and sections. MOS includes guidelines for biographies, citations, titles, dates and numbers, proper names, and many other stylistic details.

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To place the MOS template at the right on your User page for easy reference, edit your User page and copy/paste: {{style}} (including the curly braces).

Please follow the MOS guidelines when you update an article.

To add this auto-updating template to your user page, use {{totd}}

Picture of the day

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Marcelo Rebelo de Sousa

Marcelo Rebelo de Sousa (born 12 December 1948) is a Portuguese politician and academic. He has been the 20th and current president of Portugal since 9 March 2016. As a member of the Social Democratic Party, he previously served as a minister and parliamentarian in the Assembly of the Republic. This photograph of Rebelo de Sousa was taken in 2017 at Web Summit, an annual technology conference held in Lisbon.

Photograph credit: João Pedro Correia

Did you know...

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Carlyle Hotel
Carlyle Hotel

On this day...

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December 12: Beginning of the Yule Lads' arrival in Iceland

George W. Bush
George W. Bush
More anniversaries: