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about the maximum of a dot product

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#calculus #linear-algebra #inequality #vector-spaces #inner-products
110
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Prove real inner product space theorem

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#linear-algebra #inner-products
37
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Query on definition used for inner product spaces

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#linear-algebra #functional-analysis #definition #inner-products
60
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What is the geometrical meaning of the theorem?

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#matrices #inner-products #convex-cone
146
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Let $x,y\in\mathbb{R}^n$ be such that $||x+ty||\geq||x||$ $\forall \ t \in \mathbb{R}$. Show that $\vec{x} \cdot \vec{y} = 0$

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#linear-algebra #proof-verification #inner-products
567
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Inequality for the Schatten norm of symmetric plus antisymmetric matrix

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#linear-algebra #inequality #normed-spaces #inner-products #geometric-inequalities
164
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Orthonormal Basis and Hermitian inner product

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#linear-algebra #inner-products #orthonormal #change-of-basis
160
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Representation of a vector as sum of vectors from an orthonormal basis

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#linear-algebra #inner-products
228
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Prove the original Riesz Representation using the bilinear form

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#linear-algebra #inner-products #bilinear-form #riesz-representation-theorem
149
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Induction over a finite orthogonal set of vectors.

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#linear-algebra #proof-verification #inner-products
37
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Determinant of a metric in the three dimensional positive?

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#metric-spaces #euclidean-geometry #inner-products
81
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Verfication required on proof of elementary result on inner product Spaces.

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#linear-algebra #proof-verification #inner-products
1.5k
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Hermitian positive definite matrix defines an inner product on a vector space V

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#linear-algebra #inner-products
322
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Does orthogonality imply linear independence for null vectors in the Minkowski space?

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#linear-algebra #manifolds #inner-products #general-relativity
156
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Can a weakly Cauchy sequence in a non-complete inner product space be unbounded?

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#functional-analysis #inner-products #weak-convergence #weak-topology

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