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Dan Fleisch briefly explains some vector and tensor concepts from A Student's Guide to Vectors and Tensors.
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MIT 8.962 General Relativity, Spring 2020 Instructor: Scott Hughes View the complete course: https://ocw.mit.edu/8-962S20 YouTube Playlist: ...
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My tensor series is finally here! In this video, I introduce the concept of tensors. I begin by talking about scalars, then vectors, ...
YouTube-Faculty of Khan
Specifying a scalar
Example of a Tensor
Orientation of axes
Third cross-section
Force Matrix
Definition of a Tensor
What about a vector?
Stress Tensor
Tensor vs matrix
Conclusion
Less of a focus on physics in this one. More of a focus on the mathematical definition.
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Tensor definition
Scalars
Matrices
Tensor Rank
Invariance under a change of coordinates
What does it mean for components to transform predictably under change of coordinates?
Components are not invariant
Forward and Backward Transformations
Abstract definition of a tensor
Summary
Crash course on tensors (what they are, what cross norms are, basic generalities about nuclear norm/operator and rank), followed by an ...
YouTube-Sebastien Bubeck
Intro
Order p Tensor
Tensor rank
Largest cross norm
Nuclear and spectral norms
Lemma 1
Expanding a tensor
Application to neural networks
Rewriting a Tensor
Dual operator norm
This is the start of a video series on tensors that I'm doing. I hope it helps someone out there on the internet. I'm sorry that my voice is ...
Why Should We Want To Study Tensors
Geometry of Space-Time in Einstein's General Relativity
How the Universe Is Expanding
Tensors
Metric Tensor
Quantum Mechanics
Quantum Entanglement
Superposition
Tensor Product
The term "tensor" is often misunderstood. Let's figure out what they are through vector examples like velocity, angular momentum, the stress ...
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Tensile and Compressive Stress
The Stress Tensor
Higher Rank Tensors
Index Notation
Angular Momentum Example
Real vs. Pseudo Vectors
Visualizing Tensors
Examples of Tensors
More videos: https://www.patreon.com/intuitiveml Follow: Twitter: https://twitter.com/SentimOfficial Facebook: ...
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Examples of vectors in R2 + R3
General form of a tensor
The structure of a tensor
Simplifying the quotient
Direct sum and tensor product
Simple Tensors
Relation between basis vectors
Tensors are super important for neural networks, but can be confusing because different people use the word "Tensor" differently.
YouTube-StatQuest with Josh Starmer
Awesome song and introduction
Why we need Tensors
Tensors store data
Tensors have hardware acceleration
Tensors have automatic differentiation
This video visualizes tensors. It shows some introduction to tensor theory and demonstrates it with the Cauchy stress tensor.
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Vectors
Example Tensor
Shearing Force
Shearing Forces
A Stress Tensor
General Notes about Tensors
Weighted Sum Rule
Visualize Second Order Tensors
Anti-Symmetric Matrix
Re-upload after I caught a small mistake soon after uploading. New video series. New opportunities for me to make tons of typos and for ...
Components of tensors
Forward and backward transforms
Scalar and vector fields
Basis Vector Fields
Why study Tensor Calculus?
Stress tensor explained
Metric tensor
Tensors for beginners
https://www.youtube.com/watch?v=eBjuKoCN-0A&list=PLTjLwQcqQzNKzSAxJxKpmOtAriFS5wWy4 Here we introduce tensors of zeroth, first and second ...
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First Order Tensor
Tensors Are Formulated Compactly in Index Notation
Second Order Tensor
Enroll to gain access to the full course: https://deeplizard.com/course/ptcpailzrd Part 1: Introducing tensors for deep learning and neural ...
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Welcome to DEEPLIZARD - Go to deeplizard.com for learning resources
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Collective Intelligence and the DEEPLIZARD HIVEMIND
The tensor product of vector spaces (or modules over a ring) can be difficult to understand at first because it's not obvious how ...
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Construction
Examples
Basis for Tensor Product
18 videosLast updated on Nov 29, 2022. Play all · Shuffle · 6:26. Tensors For Beginners (-1): Motivation. eigenchris.
In this video we visualize the electromagnetic tensor. In Part 2A we use it to represent magnetic fields. Part 2B extends it to electric ...
Components of this Tensor
A Tensor Field
Magnetic Field Vector Pointing in an Arbitrary Direction
Tensor To Represent Electric Fields
In this video, I shift the discussion to tensors of rank 2 by defining contravariant, covariant, and mixed tensors of rank 2 via their ...
Definition of a matrix field
Tensor transformation rules
Requirements for a contravariant tensor
Ranks of tensors
General Tensors
Summing and scalar multiplication
Change of coordinates
Scalar multiplication of tensors
Enroll to gain access to the full course: https://deeplizard.com/course/ptcpailzrd PyTorch tensor objects for neural network programming and ...
In this video, I continue the discussion on tensor operations by defining the contraction, inner product, and outer product.
Tensor Operations
Contraction Example
Tensor Contractions
The Inner Product
Rank of an Inner Product Tensor
Simplifying the inner product
Outer Products
Other names for the outer product