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Does Basis Change affect Inner Product?

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#linear-algebra #inner-products #change-of-basis
27
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What does it say about two curves $\vec x (t)$ and $\vec y (t)$ if $|| \vec x(t) \cdot \vec y(t) || \leq || \vec x(t) \odot \vec y(t) ||$?

Published on
#inequality #inner-products #hadamard-product
70
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On vector multiplication

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#inner-products #exterior-algebra #cross-product #geometric-algebras
62
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Where does the differential come from when passing from a discrete sum to a continuous case, for instance for the case of the inner product?

Published on
#calculus #inner-products #intuition #riemann-sum
54
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How to know when the topology of the vector space comes from an inner product?

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#real-analysis #functional-analysis #inner-products
41
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Alternate proof of riesz representation theorem

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#linear-algebra #inner-products #orthogonality
32
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Riesz vector of extended linear functionals

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#linear-algebra #inner-products #riesz-representation-theorem
54
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If the absolute value of an infinite series is bounded above, then the infinite series absolutely converges?

Published on
#linear-algebra #sequences-and-series #inner-products #absolute-convergence
153
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Show that $\langle x, x \rangle = 0$ if and only if $x = 0$.

Published on
#linear-algebra #inner-products
49
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Expanding the product of two dot products

Published on
#inner-products #tensor-products #mathematical-physics
65
Views

Can two functions be substantially different if their inner product is close to $1$?

Published on
#functional-analysis #inner-products
50
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Unitary operators and a product of reflections

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#linear-algebra #inner-products #reflection #unitary-matrices
26
Views

Bijection of transformations

Published on
#linear-algebra #linear-transformations #inner-products #symmetric-matrices
68
Views

Absolute value of dot product of high-dimensional vector

Published on
#inner-products #orthonormal
83
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Dot Product with Partial Differential Question

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#inner-products #polar-coordinates #divergence-operator

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