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- https://math.libretexts.org/Bookshelves/Abstract_and_Geometric_Algebra/An_Inquiry-Based_Approach_to_Abstract_Algebra_(Ernst)/05%3A_Cosets_Lagranges_Theorem_and_Normal_Subgroups/5.02%3A_Lagrange's_TheoremWe’re finally ready to state Lagrange’s Theorem, which is named after the Italian born mathematician Joseph Louis Lagrange. It turns out that Lagrange did not actually prove the theorem that is named ...We’re finally ready to state Lagrange’s Theorem, which is named after the Italian born mathematician Joseph Louis Lagrange. It turns out that Lagrange did not actually prove the theorem that is named after him. The theorem was actually proved by Carl Friedrich Gauss in 1801.
- https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Yet_Another_Introductory_Number_Theory_Textbook_-_Cryptology_Emphasis_(Poritz)/05%3A_Indices__Discrete_Logarithms/5.04%3A_IndicesSome things are natural to conjecture, given these examples and the simple definition of index; many of them are very easy to prove (and are exercises). Before turning to cryptology, we explore some p...Some things are natural to conjecture, given these examples and the simple definition of index; many of them are very easy to prove (and are exercises). Before turning to cryptology, we explore some pure mathematical applications of indices.
- https://math.libretexts.org/Bookshelves/Linear_Algebra/Interactive_Linear_Algebra_(Margalit_and_Rabinoff)/zz%3A_Back_Matter/22%3A_7.5%3A_IndexThis page contains a comprehensive guide and glossary of key concepts in linear algebra, covering matrix operations, vector spaces, eigenvalues, and transformations. It includes definitions, theorems,...This page contains a comprehensive guide and glossary of key concepts in linear algebra, covering matrix operations, vector spaces, eigenvalues, and transformations. It includes definitions, theorems, properties, and examples on topics such as coordinates, bases, and dimensionality. Methods like Gaussian elimination and least-squares approaches are discussed.
