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Doesn't Jacobi formula immediately follow from the chain rule

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#matrices #inner-products #chain-rule
653
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Intuition behind the component formula of the scalar product

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#linear-algebra #inner-products
794
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Can we derive a norm and an inner product from a metric?

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#real-analysis #vector-spaces #metric-spaces #normed-spaces #inner-products
57
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Interior, cross and outer products between two multivectors?

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#inner-products #exterior-algebra #cross-product #geometric-algebras
45
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Fundamental form $\omega=\sum_{i\leq m}v^*_i\wedge (Jv_i)^* $ with a complex structure $J$

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#inner-products #tensor-products #complex-geometry #multilinear-algebra #exterior-algebra
147
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Hodge star operator evaluated at an orthonormal basis (Proposition 1.2.20 Huybrechts)

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#linear-algebra #inner-products #exterior-algebra
33
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L2 Norm Decomposition

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#linear-algebra #optimization #normed-spaces #inner-products
34
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How to properly (rigorously?) treat a dot product integral?

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#vectors #inner-products #surface-integrals
28
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For symmetric, non-singular, positive definite matrix $B$ and some unit vector $u$ show $u^T Bu \ge \frac{1}{ {\lVert B^{-1} \rVert} }$

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#linear-transformations #inner-products #symmetric-matrices #positive-definite
53
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$\nabla\cdot(f\vec{g})=f\nabla\vec{g}+\vec{g}\cdot\nabla f$ using Levi-Civita

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#vector-analysis #inner-products #tensors
71
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Solving recurrence relation in Hilbert space.

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#real-analysis #functional-analysis #recurrence-relations #hilbert-spaces #inner-products
36
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A doubt regarding the orthogonality of the partials defined on a tangent space of an abstract manifold.

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#differential-geometry #riemannian-geometry #smooth-manifolds #inner-products #tangent-spaces
82
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How to compute eigen values and eigen vectors for eigen value problem in terms of inner product?

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#real-analysis #linear-algebra #functional-analysis #normed-spaces #inner-products
46
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Sum of norms induced by PSD matrices

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#inner-products #positive-definite #matrix-norms
123
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How to calculate the distance from $X^2$ to $\operatorname{span}(1,X)$?

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#linear-algebra #polynomials #metric-spaces #inner-products #bilinear-form

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