Lectures related to Topological spatial queries

Bush fires in the Sahelian area MOOC: Geographical Information Systems 1

Explores the causes and consequences of bush fires in the Sahelian area, emphasizing the role of Geographic Information Systems.

Geometric spatial queries MOOC: Geographical Information Systems 1

Covers SQL queries for exploring spatial geometries and their properties in a database.

Digitization of Vector Objects MOOC: Geographical Information Systems 1

Covers the digitization of vector objects in GIS, including creation, editing, and topology management.

Vector-Vector Data Layer Interactions MOOC: Geographical Information Systems 2

Covers interactions between vector layers in GIS, including geometric properties, spatial arrangement, autocorrelation, altitude models, and SQL equivalents.

Creating Test Databases MOOC: Geographical Information Systems 1

Covers the creation of test databases for SQL queries using Spatialite and Postgis with QGIS.

Vector-Vector Interactions

Covers interactions between vector layers in GIS using QGIS tools.

Discrete variables: Geometric properties MOOC: Geographical Information Systems 2

Covers geometric properties of discrete variables in GIS, including location, size, and shape.

Geometric Transformations: Meanings and Applications

Explores geometric transformations, invariant properties, and mean relationships in modern geometry.

Spatial relations and topology: summary MOOC: Geographical Information Systems 1

Covers spatial relations in general, focusing on topology and its role.

Map Processing: Automatic Analysis of Maps

Explores automatic analysis of maps, covering segmentation, georeferencing, and neural network applications.

Data modeling: Geographic Information Systems MOOC: Geographical Information Systems 1

Introduces data modeling in the context of Geographic Information Systems, covering the added value and methods used.

Geometry: Introduction to Architectural Geometry

Explores the historical and practical applications of geometry in architecture, emphasizing key geometric principles in architectural design.

Vector-Vector Integration: Methods and Tools MOOC: Geographical Information Systems 2

Explores methods and tools for integrating vector layers in QGIS, including SQL queries and boolean operators.

Spatial Discrete Variables, Spatial Arrangement and Neighborhood MOOC: Geographical Information Systems 2

Covers spatial arrangement, neighborhood, and statistical measures for analyzing spatial patterns in geographic information systems.

Conics in the Plane: Uniform Description of 3 Conics Log in to Mediaspace to watch this video

Explores the construction and properties of parabolas, ellipses, and hyperbolas in the plane.

Homotheties and Translations Log in to Mediaspace to watch this video

Explores homotheties and translations in geometry, focusing on preserving alignment and distances.

Geometry: Instrument Epicycle Log in to Mediaspace to watch this video

Explores the invention of instruments by artists like Albrecht Dürer to draw complex curves and lines not achievable with a ruler.

Invariance of Domain Log in to Mediaspace to watch this video

Delves into the invariance of domain theorem, proving that a subset homeomorphic to an open subset is open itself, with implications for embeddings and homeomorphisms.

Buckling of Shells: Theory and Experiments Log in to Mediaspace to watch this video

Explores the theory and experiments on the buckling of shells, covering Reissner's solution, pressure buckling, and the influence of material properties.

Dynamics of Mechanical Systems Log in to Mediaspace to watch this video

Covers the concept of geometry and stress, inertia constraints, useful efforts, prestress, and the dynamics of mechanical systems.