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Concept

Convex polygon

Related lectures (31)

Hamiltonian dynamics on convex polytopes

Explores Hamiltonian dynamics on convex polytopes, covering symplectic capacities, EHZ capacity, and systolic ratio maximizers.

Self-Avoiding Random Walks

Explores self-avoiding random walks and their mathematical models, emphasizing the importance of paths that are self-avoiding.

Timber Plate Structural Design MOOC: Advanced Timber Plate Structural Design

Covers the CAD-to-CAE data transformation process for advanced timber plate structural design.

Polygonal Lines: Definitions and Examples

Covers polygonal lines, polygons, separation of the plane, and triangle distances.

Conicité Parabolique

Explores the characteristics of parabolic conicity and demonstrates how to address related issues.

Image Processing

Covers a generic framework for historical document processing using TensorFlow and Python3.

Optimization Problems

Explores optimization problems to find global extrema of functions over domains.

Regular Polyhedra: Definitions and Symmetries

Explores the definitions and symmetries of regular polyhedra, shedding light on ancient geometry and modern mathematical formalization.

Polygons & Polyhedra: Regular & Starred

Explores polygons, polyhedra, regularity, and starred configurations in Euclidean geometry, highlighting historical context and limitations.

Optimization with Constraints: KKT Conditions

Covers the KKT conditions for optimization with constraints, essential for solving constrained optimization problems efficiently.

Trade-offs in Data and Time

Explores trade-offs between data and time in computational problems, emphasizing diminishing returns and continuous trade-offs.

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Linear MM SE Estimation

Covers the principles of linear MM SE estimation and the minimization of errors in linear regression.

Limitation 2 Côtés: Configuration Concave Convexe

Covers advanced topics on the limitations of concave and convex shapes.

Green's Theorem: Domain Analysis

Explores Green's Theorem application in domain analysis and potential functions.

Other regularizations + the Lasso

Explores diverse regularization approaches, including the L0 quasi-norm and the Lasso method, discussing variable selection and efficient algorithms for optimization.

Geodesic Convexity: Theory and Applications Log in to Mediaspace to watch this video

Explores geodesic convexity in metric spaces and its applications, discussing properties and the stability of inequalities.

Regular Polyhedra: Definitions and Symmetries Log in to Mediaspace to watch this video

Explores the definitions and symmetries of regular polyhedra, focusing on the five known convex regular polyhedra from ancient times.

Convex Geometry: Brunn-Minkowski Inequality Log in to Mediaspace to watch this video

Explores the Brunn-Minkowski inequality in convex geometry and related concepts.

Convex Bodies: Properties and Theorems Log in to Mediaspace to watch this video

Covers properties and theorems related to convex bodies and their transformations.