Lectures related to Thermodynamic Formalism for Dispersing Billiards

Linear Algebra: Efficiency and Complexity

Explores constraints, efficiency, and complexity in linear algebra, emphasizing convexity and worst-case complexity in algorithm analysis.

Singularities of Curves in Geometry

Explores singularities in curves, including inflection points and points of reversal, and discusses the evolution of torsion along curves.

Surfaces in Geometry II

Explores geometric surfaces, rules between shapes, and architectural applications.

Elliptical Arch Construction

Explores the construction of elliptical arches using a single ellipse arc.

Geometric Transformations: Meanings and Applications

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

Homotheties and Translations

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

Steric Factors in Organic Chemistry

Explores diastereotopic epochs, vi-disconnections, steric factors, and the chelete effect in organic chemistry, along with the protection of alcohols and types of ethers.

Geometry: Instrument Epicycle

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

Capacitor and Self-Heating in a Wire

Covers the simulation of a capacitor and self-heating in a wire using Comsol.

Vectors: Definitions and Operations

Introduces vector definitions, displacement, addition, and applications in geometry.

Conics in the Plane: Uniform Description of 3 Conics

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

Geometry: Menaeus de Vitruve

Explores conical and gnomonic curves, celestial representations, and solar paths through sketches and modeling tools.

Euclidean Geometry: Operations and Constructions

Covers the fundamental operations and constructions in Euclidean geometry, focusing on algebraic interpretations and ruler-and-compass constructions.

Geometric Analysis: Singularities in Architectural Design

Examines geometric singularities in architectural design through the analysis of spatial intersections.

Dynamics of Singular Riemann Surface Foliations

Explores the dynamics of singular Riemann surface foliations and their intricate behavior.

IMesh and iConc Tutorial

Covers the tutorial for iMesh and iConc, focusing on creating Finite Element Mesh for concrete structures.

Hyperboloid Surfaces: Sections and Developability

Delves into the properties of hyperboloid surfaces and their sections, emphasizing developability and curvature.

Geometry: Course Overview & 5 Regular Polyhedra

Explores geometry basics, 5 regular polyhedra construction, and their link to ancient physics and planets.

Architecture Concepts: Ancient China to Modern West

Delves into ancient Chinese and Western architectural concepts, highlighting influences and key examples.

Lattice Systems: Structural Equilibrium

Explores lattice systems, emphasizing static equilibrium and force diagram construction in structural analysis.