Knots: from reality to mathematics and back

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Related lectures (33)

Computational Exploration of Multistable Elastic Knots

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

Analysis of Lattices: Knots and Equilibrium

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

Telescope Construction

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

Nexray: Advancements in X-ray Technology

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

Nanotera Projects: X-ray Sources and Detectors

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

Treillis Analysis: 4 Nodes

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

Tomography: Imaging by Sections

Covers the principles and applications of tomography in various fields, focusing on imaging by sections and different reconstruction techniques.

X-ray Techniques and Applications

Explores synchrotrons, x-ray lasers, and phase-contrast tomography for soft matter imaging.

Affine Plane Curves Log in to Mediaspace to watch this video

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

The Quadratic Linking Degree Log in to Mediaspace to watch this video

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

Wood Physical Properties: Strength and Moisture Content Log in to Mediaspace to watch this video

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

Knot Theory: The Quadratic Linking Degree Log in to Mediaspace to watch this video

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

X-ray Tomography: Principles and Applications Log in to Mediaspace to watch this video

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

Splines: Least-Squares Method Log in to Mediaspace to watch this video

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

X-ray Tomography Practical: Introduction Log in to Mediaspace to watch this video

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

X-ray Techniques and Applications Log in to Mediaspace to watch this video

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

Back to Linear Regression Log in to Mediaspace to watch this video

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

Advanced Physics I: Gyroscopic Effects and Solid Dynamics Log in to Mediaspace to watch this video

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

Kirchhoff Rods: Kinematics and Twisted Solutions Log in to Mediaspace to watch this video

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

Energy Dispersive X-ray Microanalysis Log in to Mediaspace to watch this video

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

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