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...)
... that Yangginu plotted to defeat Khan Wan to avenge his murdered father?
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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.
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