Games theory

Game Theory . It consists of circular reasoning, which cannot be avoided when considering strategic issues. By nature, humans are not very good at thinking about the problems of strategic relationships, since the …

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Group theory

Group theory studies the algebraic structure known as a group. Its objectives are the classification of groups, their properties and their applications both within and outside of mathematics. The groups serve as a …

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Sylow’s theorems

Sylow’s theorems . In abstract algebra , specifically group theory , Sylow theorems are named in honor of the mathematician Norwegian Ludwig Sylow that provide detailed information on the number of subgroups of order set contained in a finite group given. Sylow’s theorems are a fundamental part …

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Fundamental theorem of algebra

Fundamental theorem of algebra. In Mathematics and more specifically Higher Algebra , Mathematical Analysis , Geometry, and Complex Variable Functions, it is a theorem that states that every non-constant polynomial of a variable has at least one root . It follows that every polynomial p (x) of …

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Sinus theorem

Sinus theorem . In Geometry and more specifically in Euclidean geometry , it is a trigonometry theorem that in each triangle indicates that there is a constant ratio between each side and the sine of the corresponding interior angle. And as a …

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Fixed point theorem

Fixed point theorem. In mathematics , especially in topology , it is very useful and generally guarantees solutions to problems of the type F (x) = x. Used in the approximate solution of algebraic and transcendent equations , of differential equations , …

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Cosine theorem

Cosine theorem . In Geometry and more specifically in Euclidean geometry , it is a trigonometry theorem that in each triangle indicates that the square of the length of each side is related to the squares of the remaining sides and …

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