Lecture

Knots: from reality to mathematics and back

Related lectures (26)

Covers the study of affine plane curves and their properties, including the concept of multiplicity and its applications.

The Quadratic Linking Degree

Introduces the quadratic linking degree in motivic knot theory, covering knot theory basics, algebraic geometry, and intersection theory.

Computational Exploration of Multistable Elastic Knots

Explores multistable elastic knots, mathematical knots, simulation, shape space, knot retrieval, jumping knots, and applications.

Wood Physical Properties: Strength and Moisture Content

Explores wood physical properties, failure types, strength comparisons, moisture content, and practical applications in the sport sector.

Analysis of Lattices: Knots and Equilibrium

Covers the analysis of lattices focusing on knots, equilibrium equations, and normal forces calculation.

Knot Theory: The Quadratic Linking Degree

Covers the quadratic linking degree in knot theory, exploring its definitions, properties, and significance in algebraic geometry.

Telescope Construction

Covers the construction of a telescope using cylinders on circles and the calculation of fundamental groups for various spaces.

X-ray Tomography: Principles and Applications

Explores x-ray tomography principles, including generation, interaction with matter, detection methods, and practical examples.

Molecular Topology: Catenanes and Rotaxanes

Explores the design and synthesis of interlocked molecules like catenanes and rotaxanes, along with the structural and symbolic significance of knots and Borromean rings.

Kirchhoff Rods: Kinematics and Twisted Solutions

Explores the kinematics of 3D structures and twisted solutions in rod mechanics, including the mechanics of knots.

Splines: Least-Squares Method

Explores splines, emphasizing the least-squares method for interpolating splines and demonstrating its application using MATLAB.

Advanced Physics I: Gyroscopic Effects and Solid Dynamics

Explores gyroscopic effects, solid dynamics, inertia tensors, and ball motion.

X-ray Tomography Practical: Introduction

Covers practical aspects of X-ray tomography, including photon interaction and sample intensity measurement.

Nexray: Advancements in X-ray Technology

Explores advancements in miniaturized x-ray sources and detectors for improved medical imaging and non-destructive testing.

Back to Linear Regression

Covers linear regression, regularization, inverse problems, X-ray tomography, image reconstruction, data inference, and detector intensity.

X-ray Techniques and Applications

Explores synchrotrons, x-ray techniques, ptychography, and nondestructive chip architecture study using PyXL.

Gamma and Neutron Radiography

Explores the historical development and industrial applications of radiography and computerized tomography with X-rays, gammas, and neutrons.

Nanotera Projects: X-ray Sources and Detectors

Explores breakthroughs in X-ray technology, including pixelized sources and detectors.

Energy Dispersive X-ray Microanalysis

Covers Energy Dispersive X-ray Microanalysis, explaining how X-rays reveal elemental composition and discussing X-ray generation, detection, efficiency, and quantification.

Treillis Analysis: 4 Nodes

Explores the resolution of 4-node truss structures and compares them to cable-arc structures.