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Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Finite Dimensional Spaces
Explores finite dimensional spaces, covering extraction process, bases generation, and space completion.
Local Homeomorphisms and Coverings
Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.
Attack on RSA using LLL
Covers Coppersmith's method for attacking RSA encryption by efficiently finding small roots of polynomials modulo N.
Cartesian Product and Induction
Introduces Cartesian product and induction for proofs using integers and sets.
Composition of Applications in Mathematics
Explores the composition of applications in mathematics and the importance of understanding their properties.
Correlations of the Liouville function
Explores correlations of the Liouville function along deterministic and independent sequences, covering key concepts and theorems.
A Conjecture of Erdös: Proof by Moreira, Richter and Robertson
Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.
Mapping Functions and Surjections
Explores mapping functions, surjections, injective and surjective functions, and bijective functions.
Approximation Algorithms
Covers approximation algorithms for optimization problems, LP relaxation, and randomized rounding techniques.