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Tensors for Beginners 15: Tensor Product Spaces

Error: at around 13:25, on the last line, the input space should be V-tensor-(V*), not (V*)-tensor-V, although the two spaces are involve vector-covector pairs, the order is different, and so they are technically different spaces. This one took a while to edit... kept noticing mistakes and having to go back and fix them. I'm sure there's at least

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Tensors for Beginners 16: Raising/Lowering Indexes (with motivation, sharp + flat operators)
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Tensors for Beginners 16: Raising/Lowering Indexes (with motivation, sharp + flat operators)

What's a Tensor?
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What's a Tensor?

Complete Derivation: Universal Property of the Tensor Product
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Complete Derivation: Universal Property of the Tensor Product

What is a tensor anyway?? (from a mathematician)
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What is a tensor anyway?? (from a mathematician)

I never intuitively understood Tensors...until now!
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I never intuitively understood Tensors...until now!

Understand Tensors Like a Physicist! (The Easy Way)
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Understand Tensors Like a Physicist! (The Easy Way)

Tensors for Beginners 9: The Metric Tensor
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Tensors for Beginners 9: The Metric Tensor

Tensors Explained Intuitively: Covariant, Contravariant, Rank
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Tensors Explained Intuitively: Covariant, Contravariant, Rank

The most beautiful formula not enough people understand
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The most beautiful formula not enough people understand

What is a Hilbert Space?
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What is a Hilbert Space?

Tensors for Beginners 14: Tensors are general vector/covector combinations
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Tensors for Beginners 14: Tensors are general vector/covector combinations

The Core of Tensor Calculus
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The Core of Tensor Calculus

Visualization of tensors  - part 1
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Visualization of tensors - part 1

But what is a Laplace Transform?
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But what is a Laplace Transform?

Tensor products
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Tensor products

Russell's Paradox - a simple explanation of a profound problem
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Russell's Paradox - a simple explanation of a profound problem

What's The Difference Between Matrices And Tensors?
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What's The Difference Between Matrices And Tensors?

(mathematical) applications of the tensor product.
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(mathematical) applications of the tensor product.

William Dunham, A tribute to Euler
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William Dunham, A tribute to Euler

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