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Related lectures (31)
Stein Algorithm: Polynomial Identity Testing
Explores the Stein algorithm for polynomial identity testing and the minimization of a cut problem.
Topology of Riemann Surfaces
Covers the topology of Riemann surfaces, focusing on orientation and orientability.
Fixed points of the Ruelle-Thurston operator
Covers the fixed points of the Ruelle-Thurston operator and its applications in complex analysis.
Bar Construction: Homology Groups and Classifying Space
Covers the bar construction method, homology groups, classifying space, and the Hopf formula.
Equations: Degree and Solutions
Explores polynomial equations, their degree, solutions, and domain definition.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Graphical Models: Representing Probabilistic Distributions
Covers graphical models for probabilistic distributions using graphs, nodes, and edges.
Algebraic Curves: Normalization
Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.
Analyse 2: Division euclidienne
Explores the process of division euclidienne in polynomials, emphasizing the importance of polynomial degrees during operations.
Polynomial Identity Testing
Covers polynomial identity testing using oracles and random point evaluation, with applications in graph theory and algorithmic aspects.
Cohomology: Cup Product
Covers the cup product in cohomology, focusing on examples and computations.
Introduction to Finite Fields
Covers the basics of finite fields, including arithmetic operations and properties.
Acyclic Models: Cup Product and Cohomology
Covers the cup product on cohomology, acyclic models, and the universal coefficient theorem.
Directed Networks & Hypergraphs
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Explores directed networks with asymmetric relationships and hypergraphs that generalize graphs by allowing edges to connect any subset of nodes.
Irreducible Polynomials: Degree and Roots
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Explores irreducible polynomials, focusing on their degree and roots in different fields.
Homotopy: Degree
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Covers the concept of degree in homotopy theory and the structure of complexes with two simplices.
Numerical integration: continued
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Covers numerical integration methods, focusing on trapezoidal rules, degree of exactness, and error analysis.
Elliptic Curves: Theory and Applications
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Covers the theory and applications of elliptic curves in cryptography and number theory.
Master in Computational Science and Engineering Overview
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Outlines the Master in Computational Science and Engineering at EPFL, detailing its structure, admission criteria, and career opportunities for graduates.
Virtual Work II: Examples of Potentials
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Covers examples of potentials in virtual work for structural mechanics.
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