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#Lagrange Multipliers
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Partial Derivatives
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Explore advanced calculus concepts including partial derivatives, chain rule, implicit differentiation, and Lagrange multipliers through engaging problems and proofs.
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16
Lesons
3 hours 30 minutes
On-Demand
Free-Video
Jonathan Walters
Stewart Calculus - Multivariable Functions
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Explore partial derivatives, linear approximation, chain rule, directional derivatives, and optimization in multivariable calculus through visualizations and practical examples.
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11
Lesons
1 hour 30 minutes
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
Ross Dynamics Lab
Lagrange Multipliers and Constraint Forces - Nonholonomic Constraints - Downhill Race Various Shapes
0
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Explore Lagrange multipliers, constraint forces, and nonholonomic constraints in analytical dynamics. Analyze examples like rigid rods, roller racers, and rolling disks to understand generalized forces and their Newtonian connections.
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7
Lesons
1 hour 16 minutes
On-Demand
Free-Video
Ross Dynamics Lab
Phase Portraits from Potential Energy - Bifurcations - Constraint Forces from Lagrange Multipliers
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Explore phase portraits, bifurcations, and constraint forces in dynamical systems. Learn graphical methods, analyze system behavior changes, and understand Lagrangian mechanics with practical applications.
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6
Lesons
1 hour 13 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics
The Multiscale Hybrid Mixed Finite Element Method for Polygonal Meshes
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Explores Multiscale Hybrid Mixed method for polygonal meshes, discussing upscaling, flux reconstruction, and a new variant with elliptic problems. Covers applications and collaborations in computational mathematics.
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1
Lesons
50 minutes
On-Demand
Free-Video
Professor Leonard
Calculus 3 Lecture - Constrained Optimization with LaGrange Multipliers
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Learn to optimize multivariable functions with constraints using gradients and LaGrange multipliers. Master this powerful calculus technique through clear explanations and challenging examples.
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5
Lesons
59 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
Constraint Qualification and the Existence of Multipliers for Nonconvex Infinite-Dimensional Optimization Problems
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Explore constraint qualifications and Lagrange multipliers for infinite-constrained optimization problems in Banach spaces, focusing on non-surjective derivative cases.
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1
Lesons
29 minutes
On-Demand
Free-Video
NPTEL-NOC IITM
Multivariate Optimization With Equality Constraints
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Learn advanced techniques for solving optimization problems with equality constraints in multivariable calculus, enhancing your mathematical problem-solving skills.
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1
Lesons
31 minutes
On-Demand
Free-Video
Dot Physics
Lagrange Multipliers: Force of Constraint for a Pendulum
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Explore Lagrange Multipliers to determine pendulum constraint force, utilizing Python for numerical solutions and work-energy verification.
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6
Lesons
27 minutes
On-Demand
Free-Video
Dot Physics
Lagrange Multipliers - Force of Constraint for a Yo-Yo
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Explore Lagrange Multipliers to determine string tension in a released disk, applying principles of classical mechanics to real-world scenarios.
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1
Lesons
16 minutes
On-Demand
Free-Video
Dot Physics
Lagrange Multipliers - Force of Constraint for a Disk Rolling Down an Incline
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Explore Lagrange multipliers to determine motion equations and constraint forces for a disk rolling down an inclined plane.
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1
Lesons
18 minutes
On-Demand
Free-Video
Dot Physics
Lagrange Multipliers: Force of Constraint in Polar Coordinates for a Block on an Inclined Plane
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Explore Lagrange multipliers to determine constraint forces for a block on an inclined plane using polar coordinates in classical mechanics.
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1
Lesons
16 minutes
On-Demand
Free-Video
Discover AI
ORPO: A New Preference-Aligned Training Method for Large Language Models
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Explore a groundbreaking reference model-free optimization algorithm for LLM training, comparing ORPO's performance with Llama 2 and Mistral 7B through theoretical physics perspectives.
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1
Lesons
24 minutes
On-Demand
Free-Video
GDC
Math for Game Programmers - Harmonic Functions and Mean-Value
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Explore harmonic functions and mean-value parameterizations for procedural geometry in game development, with applications in mesh manipulation and UV generation.
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22
Lesons
30 minutes
On-Demand
Free-Video
Dot Physics
Lagrangian Mechanics - Mass Sliding Off a Frictionless Sphere Using Lagrange Multipliers
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Explore the physics of a mass sliding off a frictionless sphere through Lagrangian mechanics and Lagrange multipliers, with practical Python implementation and visual demonstrations.
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1
Lesons
28 minutes
On-Demand
Free-Video
Dot Physics
Lagrangian Mechanics - Would a Block Fall Off a Parabolic Path?
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Explore the physics of a mass sliding on a frictionless parabolic slope using Lagrangian mechanics and constraint forces to determine if it loses surface contact.
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1
Lesons
23 minutes
On-Demand
Free-Video
Dot Physics
Lagrangian Mechanics - Using Lagrange Multipliers to Find Forces of Constraint
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Explore how Lagrange multipliers determine constraint forces in mechanical systems, focusing on the Half Atwood Machine example and tension calculation methods.
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1
Lesons
19 minutes
On-Demand
Free-Video
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