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#Higher Dimensions

Showing: 14 courses
University of Oxford

Multidimensional Analysis and Geometry - Introduction to the Derivative in Higher Dimensions - Lecture 1

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Explore the derivative in higher dimensions, extending single-variable concepts to multidimensional functions and introducing the derivative as a linear map for best approximation.
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1 Lesons
53 minutes
On-Demand
Free-Video
Simons Institute

Quantum Algorithm for Simulating Real Time Evolution of Lattice Hamiltonians

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Explore quantum algorithms for simulating real-time evolution of lattice Hamiltonians, covering previous work, results, and advanced concepts in quantum computation.
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9 Lesons
41 minutes
On-Demand
Free-Video
Insights into Mathematics

History of Geometry IV - The Emergence of Higher Dimensions - Sociology and Pure Maths

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Explore the emergence of higher dimensions in 19th-century geometry, including projective geometry, cyclography, and spaces of lines and curves, revolutionizing our understanding of mathematical spaces.
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7 Lesons
33 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Embeddings and Tverberg-Type Problems: New Algorithms and Undecidability Results

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Explore computational topology: algorithmic embeddability, undecidability in higher dimensions, and polynomial-time decidability of r-Tverberg problem in metastable range.
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8 Lesons
26 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Sobolev Regularity for Maximal Operators

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Explore recent developments in regularity theory for maximal operators, focusing on Sobolev and BV data. Accessible overview of an active research area with open questions.
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16 Lesons
43 minutes
On-Demand
Free-Video
Numberphile

G-Conjecture - Numberphile

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Explore h-vectors and the g-conjecture with mathematician June Huh, delving into higher-dimensional shapes, triangulation, and Euler's formula. Gain insights into complex mathematical concepts.
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10 Lesons
22 minutes
On-Demand
Free-Video
Numberphile

Perfect Shapes in Higher Dimensions

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Explore platonic solids and regular polytopes in higher dimensions with Carlo Sequin, delving into complex geometric concepts and their fascinating properties.
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1 Lesons
26 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Finite Difference Time Domain Methods: Accuracy Considerations in Higher Dimensions

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Explore accuracy considerations for Finite Difference Time Domain Methods in higher dimensions, enhancing understanding of numerical simulation techniques.
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1 Lesons
13 minutes
On-Demand
Free-Video
Fields Institute

Maximally Dense Sphere Packings

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Explore optimal arrangements of disks in 2D and higher dimensions, focusing on recent findings for multiple disk sizes. Survey of results accessible to a broad audience.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
IPhT-TV

A dS from Higher Dimensions - Landscapia

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Explore higher-dimensional de Sitter spaces and their connections to Landscapia theory in this advanced physics lecture by G. Bruno De Luca.
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1 Lesons
36 minutes
On-Demand
Free-Video
ICTP Mathematics

Ergodicity in Smooth Dynamics 1

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Explore ergodicity in smooth dynamics, covering introductory concepts, examples, proofs, and higher dimensions with experts Jana Rodriguez-Hertz and Amie Wilkinson.
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11 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Joint Mathematics Meetings

Families

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Explore hyperbolic geometry, from asteroids to higher dimensions, in this engaging lecture on mathematical families and their fascinating properties.
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12 Lesons
54 minutes
On-Demand
Free-Video
TED-Ed

Symmetry, Reality's Riddle

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Explore the hidden mathematical beauty of symmetry in nature, art, and science with Oxford mathematician Marcus du Sautoy in this mind-expanding TED-Ed talk.
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9 Lesons
18 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Stable Blowup for the Higher-Dimensional Skyrme Model

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Explore stable blowup mechanisms in higher-dimensional Skyrme models, focusing on finite-time blowup at self-similar rates in 5+1 dimensions compared to 3+1 dimensions.
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1 Lesons
51 minutes
On-Demand
Free-Video