Lectures related to Geometric Structures: Advanced Modeling and Documentation

Covers determinantal point processes, sine-process, and their extrapolation in different spaces.

Introduces Vectorworks Educational Version for architectural drawings, covering tools, layers, and annotations.

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

Explores ellipses, conic sections, Kepler's laws, and geometric reconstruction in architectural modeling.

Explores the synthesis of conic sections in the plane, covering eccentricity ratios and parametric equations.

Explores Kepler's laws and the transition to elliptical orbits, emphasizing the mathematical construction and geometric properties of conic sections.

Explores thermal and mechanical problems in thermo-mechanics, covering the heat equation, total strain, and stress analysis modeling.

Covers the geometric modeling of ellipses and their applications in architecture.

Delves into the geometric principles of Gothic architecture, focusing on surface curvature and stereotomy techniques.

Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.

Explores central force dynamics, conservation laws, and conic sections properties.

Delves into the historical context and mathematical properties of conic sections like parabolas, ellipses, and hyperbolas.

Explores conic sections like ellipse, parabola, and hyperbola, their properties, constructions, and perspectives in 2D and 3D spaces.

Covers the geometry of cones and cylinders, including sections of conics and Dandelin's theorem.

Explores the historical use of conic sections and gnomonics in ancient sundials and astronomical instruments.

Explores turbulence characteristics, simulation methods, and modeling challenges, providing guidelines for choosing and validating turbulence models.

Explores the definitions and equations of conic sections, including parabolas, ellipses, and hyperbolas, with practical geometric applications.

Covers the introduction to conic sections in space, focusing on ellipses and their properties.

Delves into symmetries in physics, covering group theory, perturbation, and quantification.

Explores ellipse construction using the Dandelin theorem and properties of conics in space.