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How to prove the Non-negativity of a distance function.

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#inequality #normed-spaces #banach-spaces #inner-products #dual-spaces
26
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How to prove the uniqueness criteria of the inner product defined on $L^2$ space

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#integration #hilbert-spaces #lebesgue-integral #lp-spaces #inner-products
118
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Calculating sum of matrix elements squared $\sum_{j} \sum_{k} X_{j, k}^2$ using dot product

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#linear-algebra #summation #inner-products
98
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Looking for an example for the projection's theorem on an inner product space?

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#functional-analysis #convex-analysis #inner-products #projection
120
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Mutual Information of Vectors with Large Inner Product

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#probability-theory #inner-products #information-theory #entropy #mutual-information
189
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Reverse spectral theorem proof

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#linear-algebra #inner-products #spectral-theory
55
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Eigenvalue of PSD matrices by constrained SDP program

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#optimization #eigenvalues-eigenvectors #inner-products #positive-semidefinite #semidefinite-programming
29
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Notation for inner product between scalar-valued and vector-valued functions

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#functions #notation #vectors #inner-products #projection
132
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Understanding the definition of inner product by Friedberg et. al.

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#linear-algebra #inner-products
238
Views

trace Inner product

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#linear-algebra #matrices #inner-products #trace
63
Views

Inner product space and convergence

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#real-analysis #hilbert-spaces #inner-products #orthonormal
20
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How to prove that the range of this integral operator $T$ is $L^2[a,b]$?

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#operator-theory #hilbert-spaces #lebesgue-integral #inner-products #integral-operators
46
Views

Linear Algebra Done Right (2nd edition): what's the meaning of the notation $\overline{q}(x)$ in equation 6.2?

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#polynomials #complex-numbers #inner-products
22
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Inner product space - Linear algebra 2 - Positive attribute

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#linear-algebra #inner-products
93
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Gram-Schmidt process to construct orthonormal base in a finite vector space with indefinite scalar product.

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#linear-algebra #inner-products #semi-riemannian-geometry #gram-schmidt

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