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Today's featured article

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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Carlyle Hotel
Carlyle Hotel

Tomorrow's featured article

Pink frock coat from the collection
Pink frock coat from the collection

Jack the Ripper Stalks His Victims is the first collection by British designer Alexander McQueen, produced for his master's degree in fashion at Central Saint Martins. Inspired by the victims of Jack the Ripper, and by Victorian-era fashion, erotica, and prostitution practices, the collection was presented on the runway at London Fashion Week on 16 March 1992. Editor Isabella Blow was fascinated by the runway show and insisted on purchasing the entire collection, and became McQueen's friend and muse. Jack the Ripper remains an object of critical analysis for its violent concept and styling. McQueen continued the narrative and aesthetic tendencies from Jack the Ripper, producing collections inspired by macabre aspects of history, art, and his own life. Items from Jack the Ripper, most notably a pink frock coat with a thorn print (pictured), have appeared in Alexander McQueen: Savage Beauty (2011 and 2015) and Isabella Blow: Fashion Galore! (2013). (Full article...)

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Bashar al-Assad in 2018
Bashar al-Assad

On this day...

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

George W. Bush
George W. Bush
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Tomorrow...

December 13: Nanjing Massacre Memorial Day in China (1937)

The Sherman Fairchild Sciences complex at Dartmouth College
The Sherman Fairchild Sciences complex at Dartmouth College
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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

Stuben am Arlberg

Stuben am Arlberg is a winter sports resort in the town of Klösterle in the westernmost Austrian province of Vorarlberg. It is located at an altitude of 1,410 metres (4,630 ft) and had 90 inhabitants in 2019. The settlement of Klösterle probably originated in the 9th century, at a time of silver mining in the Klostertal valley and the neighbouring Montafon valley, with the first known mention of Stuben occurring in a 1330 document describing it as a post station and the "Kaiser's highest living room". In the late 19th century, Stuben became a popular skiing and tourist resort and is now part of Ski Arlberg, Austria's largest skiing area. In the summer months the area is popular with hikers and mountain bikers. This aerial view from the north-west shows Stuben am Arlberg and the winding Arlbergstrasse, which passes through the resort.

Photograph credit: Herbert Heim

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