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#Vector Fields

Showing: 71 courses
Hong Kong Polytechnic University

Vector Calculus for Engineers

2 rewiews
Master vector calculus concepts and applications in engineering, covering vectors, coordinate systems, fields, integrals, and theorems with practical examples and electromagnetic applications.
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56 Lesons
9 hours
On-Demand
Free-Video
NPTEL

Electromagnetic Theory

0 rewiews
Comprehensive exploration of electromagnetic theory, covering fields, potentials, Maxwell's equations, waves, and applications in waveguides and radiation. Ideal for advanced physics students.
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40 Lesons
1 day 10 hours
On-Demand
Free-Video

Multivariable Calculus - Surface Integrals

0 rewiews
Explore advanced calculus concepts including parameterized surfaces, surface integrals, Stoke's Theorem, and the Divergence Theorem through comprehensive examples and in-depth explanations.
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16 Lesons
4 hours 30 minutes
On-Demand
Free-Video
Jonathan Walters

Stewart Calculus - Vector Calculus

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Comprehensive exploration of vector calculus concepts, including line integrals, Green's theorem, surface integrals, and flux, with practical examples and applications.
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10 Lesons
1 hour 30 minutes
On-Demand
Free-Video
Sean Fitzpatrick

APEX Calculus - Vector Calculus

0 rewiews
Comprehensive exploration of vector calculus, covering parametric curves, line integrals, vector fields, Green's Theorem, parametric surfaces, and culminating in the Divergence and Stokes' Theorems.
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43 Lesons
7 hours
On-Demand
Free-Video

Calculus 3

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Comprehensive exploration of advanced calculus concepts, including vectors, multivariable functions, multiple integrals, and vector fields, with emphasis on theoretical foundations and practical applications.
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54 Lesons
9 hours
On-Demand
Free-Video

Calculus 3 Videos

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Comprehensive video tutorials covering advanced calculus topics including partial derivatives, vector functions, dot products, triple integrals, vector fields, and line integrals.
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6 Lesons
30 minutes
On-Demand
Free-Video

Calculus 3 - Vol 2

0 rewiews
Master advanced calculus concepts: triple integrals, vector fields, line and surface integrals, and fundamental theorems. Gain practical problem-solving skills in multivariable calculus.
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13 Lesons
2 hours 30 minutes
On-Demand
Free-Video

Calculus IV - Vector Calculus - Line Integrals, Surface Integrals, Vector Fields, Green's Theorem, Divergence Theorem, Stokes Theorem

0 rewiews
Comprehensive exploration of vector calculus, covering line and surface integrals, vector fields, and key theorems. Ideal for advanced mathematics students seeking in-depth understanding.
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39 Lesons
5 hours
On-Demand
Free-Video
Ross Dynamics Lab

Center Manifold Theory - Computing Center Manifolds

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Explore center manifold theory for dynamical systems, focusing on computing and approximating center manifolds. Learn to analyze stability and dynamics near equilibrium points using Taylor series expansions and tangency conditions.
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11 Lesons
1 hour 16 minutes
On-Demand
Free-Video
Professor Dave Explains

Advanced Math

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Explore advanced mathematical concepts beyond calculus and linear algebra, including differential equations, vector fields, and complex theorems for a deeper understanding.
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8 Lesons
1 hour 30 minutes
On-Demand
Free-Video
Professor Leonard

Calculus 3

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Comprehensive exploration of advanced calculus concepts, including vectors, multivariable functions, and vector fields, with practical applications and in-depth mathematical analysis.
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34 Lesons
3 days 3 hours
On-Demand
Free-Video
3Blue1Brown

Differential Equations, a Tourist's Guide

0 rewiews
Explore ordinary differential equations through intuitive visualizations, covering concepts like vector fields, phase spaces, and real-world applications in physics and social dynamics.
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9 Lesons
27 minutes
On-Demand
Free-Video
Institute for Advanced Study

Flows of Vector Fields: Classical and Modern - Camillo DeLellis

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Explore classical and modern theories of vector field flows, covering key concepts, examples, and recent developments in analysis and differential equations.
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17 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 17

0 rewiews
Aprofunde-se em análise em variedades, explorando tópicos avançados como variedades diferenciáveis, fibrados, formas diferenciais e o Teorema de Stokes. Desenvolva habilidades essenciais para pesquisa matemática.
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1 Lesons
1 hour 27 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 19

0 rewiews
Explore conceitos avançados de análise em variedades, incluindo formas diferenciais, teorema de Stokes, cohomologia de De Rham e aplicações em geometria diferencial.
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1 Lesons
1 hour 30 minutes
On-Demand
Free-Video
The Bright Side of Mathematics

Vektoranalysis

0 rewiews
Umfassende Einführung in die Vektoranalysis: Von Kurven und Flächen bis zu Integralsätzen. Praktische Übungen vertiefen das Verständnis komplexer mathematischer Konzepte.
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27 Lesons
6 hours
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 01

0 rewiews
Explore conceitos avançados de análise em variedades, incluindo variedades diferenciáveis, fibrados, formas diferenciais e teoremas fundamentais. Aprofunde-se na matemática de alto nível.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 15

0 rewiews
Aprofunde-se em análise em variedades, explorando tópicos avançados como fibrados, formas diferenciais e cohomologia de De Rham. Desenvolva habilidades essenciais para pesquisa em geometria diferencial e topologia.
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1 Lesons
1 hour 25 minutes
On-Demand
Free-Video
Steve Brunton

ODE for Particle Trajectories in a Time-Varying Vector Field

0 rewiews
Explore particle trajectories in time-varying vector fields through ODE analysis, featuring MATLAB code examples and practical applications in engineering mathematics.
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20 Lesons
49 minutes
On-Demand
Free-Video
Steve Brunton

Examples of Nonlinear Systems - Particle in a Potential Well

0 rewiews
Explore nonlinear systems through the particle in a potential well example, covering Euler-Lagrange equations, vector fields, phase portraits, and damping in engineering mathematics.
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10 Lesons
50 minutes
On-Demand
Free-Video
Fields Institute

Tame Control Theory

0 rewiews
Explore tame geometry in control theory, covering basic definitions, motivation, logic, and vector fields. Gain insights into descriptive set theory and generic structures.
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18 Lesons
48 minutes
On-Demand
Free-Video
HyperComplex Seminar

The Divergence Theorem for Vector Fields - Applications and Generalizations

0 rewiews
Explore the divergence theorem's applications in PDEs, geometry, physics, and engineering, including proofs of Archimedean principle and multidimensional Pythagorean theorem.
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1 Lesons
32 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Unsupervised Features Learning for Sampled Vector Fields

0 rewiews
Explore innovative techniques for analyzing sampled vector fields using graph structures and unsupervised learning, revealing hidden features correlated with known dynamics in analytical models.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Applied Algebraic Topology Network

Barcodes for the Topological Analysis of Gradient-Like Vector Fields

0 rewiews
Explore topological analysis of gradient-like vector fields using barcodes. Learn about chain complexes, parametrization, and applications in smooth and discrete settings, with insights on stability and approximation.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Professor Leonard

Calculus 3 Lecture - How to Find Divergence and Curl of Vector Fields

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Learn to calculate and interpret divergence and curl in vector fields, essential concepts in multivariable calculus with clear explanations and examples.
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6 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Steve Brunton

Potential Flow and Laplace's Equation

0 rewiews
Explore potential flow and Laplace's equation in engineering mathematics, covering vector fields, heat conduction, and practical applications in fluid dynamics and thermodynamics.
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8 Lesons
46 minutes
On-Demand
Free-Video
Michael Penn

Multivariable Calculus - When the Divergence Theorem Doesn't Apply

0 rewiews
Explore surface integrals over special vector fields, including cases where the divergence theorem fails, in this advanced multivariable calculus analysis.
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1 Lesons
22 minutes
On-Demand
Free-Video
Michael Penn

Multivariable Calculus - Two Surface Integrals Over Vector Fields

0 rewiews
Explore surface integrals over vector fields in this concise tutorial, enhancing your understanding of multivariable calculus concepts and applications.
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1 Lesons
20 minutes
On-Demand
Free-Video
Michael Penn

Multivariable Calculus - What Is a Vector Field

0 rewiews
Explore vector fields, their graphical representations, and conservative vector fields with clear examples and explanations.
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1 Lesons
23 minutes
On-Demand
Free-Video
Fields Institute

New Techniques for the Resolution of Singularities of Vector Fields and Differential Operators

0 rewiews
Explore advanced techniques for resolving singularities in vector fields and differential operators, covering adapted charts, stable systems, and transformation methods.
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11 Lesons
51 minutes
On-Demand
Free-Video
Fields Institute

New Techniques for the Resolution of Singularities of Vector Fields and Differential Operators - Lecture 1

0 rewiews
Explore advanced mathematical techniques for resolving singularities in vector fields and differential operators, covering topics like Susma Theorem, foliations, and normal forms.
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14 Lesons
1 hour 40 minutes
On-Demand
Free-Video
Professor Leonard

Introduction to Vector Fields - And What Makes Them Conservative

0 rewiews
Explore vector fields, their graphical representations in 2D and 3D, and the concept of conservative vector fields in this comprehensive introduction.
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1 Lesons
58 minutes
On-Demand
Free-Video
Professor Dave Explains

Vector Fields, Divergence, and Curl

0 rewiews
Explore vector fields, divergence, and curl in mathematics. Learn about the del operator and its applications with dot and cross products to analyze vector field properties.
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1 Lesons
16 minutes
On-Demand
Free-Video
ICTP Mathematics

Differential Geometry - Lecture 11

0 rewiews
Explore advanced concepts in differential geometry, focusing on complex mathematical theories and their applications in this comprehensive lecture.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
ICTP Mathematics

Differential Geometry - Lecture 10

0 rewiews
Explore advanced concepts in differential geometry, focusing on complex mathematical theories and their applications in modern geometry and physics.
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1 Lesons
1 hour 30 minutes
On-Demand
Free-Video
Steve Brunton

Directional Derivative, Continuity Equation, and Examples of Vector Fields

0 rewiews
Explore directional derivatives, continuity equations, and vector field examples in engineering mathematics, enhancing understanding of fluid dynamics and electromagnetic theory applications.
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1 Lesons
46 minutes
On-Demand
Free-Video
Joint Mathematics Meetings

Flows of Nonsmooth Vector Fields - Lecture 1

0 rewiews
Explore the intricacies of non-smooth vector field flows in this advanced mathematics lecture by Camillo De Lellis, delving into complex theoretical concepts and their applications.
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1 Lesons
58 minutes
On-Demand
Free-Video
Mathemaniac

Exponentiating Vectors, Derivatives, and Vector Fields - Mathematical Concepts Explained

0 rewiews
Explore the concept of exponentiation applied to vectors, derivatives, and vector fields, uncovering connections between seemingly different mathematical ideas and their practical applications.
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5 Lesons
30 minutes
On-Demand
Free-Video
IMSA

Chern Classes and Indices of Vector Fields on Singular Varieties

0 rewiews
Explore Chern classes and vector field indices on singular varieties, examining fundamental invariants in geometry and topology and their evolving theory for non-smooth spaces.
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1 Lesons
53 minutes
On-Demand
Free-Video
Fields Institute

Integrating Vector Fields on Subcartesian Spaces

0 rewiews
Explore advanced mathematical concepts in vector field integration on subcartesian spaces with expert Yael Karshon, part of a broader workshop and program on toric topology.
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1 Lesons
50 minutes
On-Demand
Free-Video
Dot Physics

Vector Fields - Calculating the Line Integral Work Around Closed Paths

0 rewiews
Explore vector fields and calculate line integral work around closed paths using analytical and numerical methods with Python.
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1 Lesons
28 minutes
On-Demand
Free-Video
Global Noncommutative Geometry Seminar

The Helffer-Nourrigat Conjecture - Hypoellipticity and Fredholmness of Polynomials of Vector Fields

0 rewiews
Explore hypoellipticity and Fredholmness in vector field polynomials through the Helffer-Nourrigat Conjecture, advancing understanding in noncommutative geometry.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Dot Physics

Mathematical Method to Test for Conservative Fields

0 rewiews
Learn a mathematical technique to determine if a vector field is conservative by calculating its curl and verifying if it equals zero.
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1 Lesons
19 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Manifolds, Coordinates and Tensors - Lecture 5

0 rewiews
Explore manifolds, coordinates, and tensors in this graduate-level physics lecture, covering key concepts and transformations for advanced theoretical understanding.
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5 Lesons
1 hour 48 minutes
On-Demand
Free-Video
Stony Brook Mathematics

The Formulation of the Navier-Stokes Equations on Riemannian Manifolds

0 rewiews
Explore advanced formulations of Navier-Stokes equations on Riemannian manifolds, focusing on Ebin and Marsden's approach and recent developments in this complex field of fluid dynamics.
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1 Lesons
1 hour
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 20

0 rewiews
Explore conceitos avançados de análise em variedades, incluindo formas diferenciais, teorema de Stokes, cohomologia de De Rham e aplicações em geometria diferencial.
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1 Lesons
1 hour 25 minutes
On-Demand
Free-Video
Discover AI

Beyond Mamba AI: Vector Fields and Fluid Dynamics in Transformer Models - Session 6

0 rewiews
Explore the intersection of fluid dynamics and AI transformers, examining mathematical frameworks and theoretical physics concepts to enhance understanding of advanced neural network architectures.
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1 Lesons
57 minutes
On-Demand
Free-Video
Physics Explained

Quantum Field Theory - What Is a Particle?

0 rewiews
Explore the concept of particles as excitations of relativistic quantum fields, from simple harmonic motion to quantum mechanics and field theory, in this accessible introduction to fundamental physics.
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22 Lesons
37 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Flows of Irregular Vector Fields in Fluid Dynamics - Lecture 6

0 rewiews
Explore modern techniques for analyzing flows of irregular vector fields, with applications to fluid dynamics and turbulence theory. Gain insights into nonlinear PDEs and Euler/Navier-Stokes equations.
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1 Lesons
1 hour 45 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Flows of Irregular Vector Fields in Fluid Dynamics - Lecture 5

0 rewiews
Explore modern techniques for analyzing flows of irregular vector fields, including quantitative regularity estimates, nonuniqueness solutions, and applications to fluid dynamics PDEs.
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1 Lesons
1 hour 55 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Flows of Irregular Vector Fields in Fluid Dynamics - Lecture 4

0 rewiews
Explore modern techniques for analyzing flows of irregular vector fields, including quantitative regularity estimates, nonuniqueness solutions, and applications to fluid dynamics PDEs.
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1 Lesons
1 hour 54 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Flows of Irregular Vector Fields in Fluid Dynamics - Lecture 3

0 rewiews
Explore modern techniques for analyzing flows of irregular vector fields, including quantitative regularity estimates, nonuniqueness solutions, and applications to fluid dynamics PDEs.
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1 Lesons
1 hour 47 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Flows of Irregular Vector Fields in Fluid Dynamics - Lecture 2

0 rewiews
Explore modern techniques for analyzing flows of irregular vector fields, including quantitative regularity estimates, nonuniqueness solutions, and applications to fluid dynamics PDEs.
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1 Lesons
1 hour 48 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Flows of Irregular Vector Fields in Fluid Dynamics - Lecture 1

0 rewiews
Explore modern concepts in flows of irregular vector fields, including quantitative regularity estimates, nonuniqueness solutions, and applications to fluid dynamics and turbulence theory.
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1 Lesons
1 hour 46 minutes
On-Demand
Free-Video
CoA Physics

3D Representations of Electric Fields of Various Charge Distributions - Physics 4B

0 rewiews
Visualize electric fields in 3D for different charge distributions, enhancing understanding of electrostatic concepts and their spatial representations.
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1 Lesons
18 minutes
On-Demand
Free-Video
Cambridge University Press

A Characterization of 3D Steady Euler Flows Using Commuting Zero-Flux Homologies

0 rewiews
Explore 3D steady Euler flows characterization using commuting zero-flux homologies. Extends Sullivan's work, proves impossibility of plug constructions, and discusses higher-dimensional applications.
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1 Lesons
17 minutes
On-Demand
Free-Video
Chad's Prep

Electric Fields in General Physics - Lesson 15.3

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Explore electric fields, their mathematical relationships, and practical applications through calculations and visual representations of field lines.
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5 Lesons
22 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Causal Evolution of Measures and Continuity Equation in Spacetime Geometry

0 rewiews
Explore causal evolution of measures in spacetime, examining alternative descriptions and their relationships through probability measures, causal curves, and continuity equations in globally hyperbolic settings.
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12 Lesons
45 minutes
On-Demand
Free-Video
Valence Labs

Meta Flow Matching - Integrating Vector Fields on the Wasserstein Manifold

0 rewiews
Explore advanced flow-based modeling techniques for predicting biological system dynamics, focusing on population-level evolution and personalized medicine applications using Graph Neural Networks.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
Valence Labs

Action Matching: Learning Stochastic Dynamics from Samples

0 rewiews
Explore Action Matching for learning stochastic dynamics from samples. Discover applications in quantum systems, biology, and generative modeling. Gain insights into novel approaches for simulating trajectories.
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10 Lesons
1 hour 52 minutes
On-Demand
Free-Video
Strange Loop Conference

Aesthetic Engine 2

0 rewiews
Explore alternative web data interpretation and artistic rendering with Aesthetic Engine 2. Discover unconventional approaches to data visualization and software development in the era of Big Data.
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26 Lesons
37 minutes
On-Demand
Free-Video
Dot Physics

Visualizing the Magnetic Field of a Current Loop with Python

0 rewiews
Visualize magnetic fields around current loops using Python. Learn to plot and scale vector fields for enhanced understanding.
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9 Lesons
16 minutes
On-Demand
Free-Video
Dot Physics

Electric Field due to a Charged Ring - Python Calculation and Derivation

0 rewiews
Derive the electric field of a uniform charged ring using Python and analytical methods. Compare numerical and theoretical approaches.
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6 Lesons
21 minutes
On-Demand
Free-Video
Dot Physics

Electric Field due to Uniform Sphere - Gauss's Law and Python Simulation

0 rewiews
Explore electric fields of uniformly charged spheres using Gauss's law and Python simulation with 10,000 random points for precise calculations.
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1 Lesons
25 minutes
On-Demand
Free-Video
Dave Churchill

Grid Algorithms in Video Game AI - Lecture 7

0 rewiews
Explore grid algorithms for game AI, including connectivity, BFS, vector fields, and distance maps. Learn techniques for efficient pathfinding and spatial analysis in video games.
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19 Lesons
52 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 22

0 rewiews
Explore conceitos avançados de análise em variedades, incluindo formas diferenciais, teorema de Stokes, cohomologia de De Rham e aplicações em geometria diferencial.
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1 Lesons
1 hour 24 minutes
On-Demand
Free-Video
Dave Churchill

Pathfinding and Steering in Game Programming - Lecture 15

0 rewiews
Explore pathfinding and steering mechanics in game development, covering navigation meshes, path following algorithms, vector fields, and AI movement behaviors for creating realistic game character motion.
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13 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 21

0 rewiews
Explore conceitos avançados de análise em variedades, incluindo fibrados tangentes, formas diferenciais e o Teorema de Stokes, com aplicações práticas em geometria diferencial.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

The Classification of Finite-Dimensional Lie Algebras of Hamiltonian Vector Fields on the Plane

0 rewiews
Explore finite-dimensional Lie algebras of Hamiltonian vector fields on the plane, their classification, properties, and applications in studying Hamiltonian systems.
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1 Lesons
1 hour 18 minutes
On-Demand
Free-Video
Dave Churchill

Game Programming: Pathfinding and Steering - Lecture 15

0 rewiews
Explore pathfinding and steering techniques for game programming, including A* algorithm, navigation meshes, vector fields, influence maps, and various steering behaviors.
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16 Lesons
1 hour 9 minutes
On-Demand
Free-Video