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Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication .
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
Among the first were the hypercomplex numbers, which consist of various extensions or modifications of the complex number system. In modern mathematics, number systems are considered important special examples of more general algebraic structures such as rings and fields, and the application of the term "number" is a matter of convention ...
Andrea Mitchell is retiring her MSNBC anchor chair on Friday, Feb. 7, after nearly 17 years at the desk. The longtime host of Andrea Mitchell Reports first revealed in October that the daily show ...
Many of us haven’t had to ponder the nuance of tariffs since 9th-grade history class. That is until this election season when President Trump proposed a 10 to 20 percent tariff on all goods ...
UnitedHealth Group held its first earnings call since the shooting of its insurance executive last month.UnitedHealthcare CEO Brian Thompson was killed outside of an investor day meeting in New ...
The scope of algebra thus grew to include the study of algebraic structures. This object of algebra was called modern algebra or abstract algebra, as established by the influence and works of Emmy Noether. [36] Some types of algebraic structures have useful and often fundamental properties, in many areas of mathematics.
Mulino declined to answer other questions after speaking on a panel session addressing Latin America's "faultlines" at the World Economic Forum's annual meeting in the Swiss resort. In his ...