Lectures related to Minkowski–Bouligand dimension

Complex Systems: Epidemics

Delves into complex systems, strange attractors, and epidemics, emphasizing the influence of psychological factors and the role of contagion.

Fractals and Chaos Theory

Explores chaotic maps, fractal dimensions, and strange attractors in dynamical systems.

Nonlinear Dynamics: Chaos and Complex Systems

Explores countable and uncountable sets, Cantor set, Mandelbrot set, and Box dimension in nonlinear dynamics and complex systems.

Chaos Theory: Fractals and Dimensionality

Explores chaotic systems, fractals, and dimensions in Chaos Theory.

Hyperbolic Geometry

Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.

End-to-End Distance Exponent

Explores the correct exponent for the end-to-end distance in polymer chains and its implications on chain correlations.

Topology of Riemann Surfaces

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Descent methods and line search: Inexact line search MOOC: Optimization: principles and algorithms - Unconstrained nonlinear optimization

Explores descent methods, line search, and the importance of small steps.

Turbulence Phenomenology

Explores turbulence phenomenology, focusing on scale separation, Reynolds numbers, and computational implications.

Introduction to Structures: Part 2

Introduces subsystems, forces calculation, materials, and dimensioning in structures, emphasizing interactive learning.

AutoCAD: Text and Annotations

Explores creating text and annotations in AutoCAD, including managing properties and working with layers.

Bernoulli convolutions: The dimension of Bernoulli convolutions

Explores the dimension of Bernoulli convolutions, discussing fair tosses and polynomial roots.

Computational Thinking Test: Evaluation and Design

Presents a test to evaluate computational thinking skills, discussing its design, analysis of previous tools, sample question, and study results.

Dimensioning: Introduction, Forces, Materials and Sizing

Introduces dimensioning structures with force diagrams, balance, and sizing.

Boundary Problems in One Dimension (Continuation)MOOC: Numerical Analysis for Engineers

Explores the resolution of one-dimensional boundary problems with different cord models and highlights the distinction from other types of problems.

Lie Groups and Lorentz Transformations

Covers Lie groups, Lorentz transformations, boosts, rotations, and complexified Lie algebras.

Fractal Dimensions: Polymer Behavior

Explores fractal dimensions in polymer behavior, focusing on excluded volume and intersections within polymers.

Deep Learning Modus Operandi

Explores the benefits of deeper networks in deep learning and the importance of over-parameterization and generalization.

Discrete Variables: Spatial Arrangement and Neighbourhood MOOC: Geographical Information Systems 2

Covers geometric properties, spatial arrangement, autocorrelation, and neighbourhood analysis in geographic information systems.

Fractals: Dimensions and Applications Log in to Mediaspace to watch this video

Explores fractals, dimensions, and applications, including mountain formation simulation and landscape authoring through erosion and vegetation interplay.