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15
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Incomplete inner product space has a subspace such that the direct sum with orthogonal isn't the whole space

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#functional-analysis #inner-products
34
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Length of Vectors in space with Integral as Inner Product

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#linear-algebra #integration #inner-products
53
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Find a vector whose length is 1 given some inner product?

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#calculus #linear-algebra #inner-products
26
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I think I made miscalculation of vectors with orthonormal basis of the linear subspace

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#linear-algebra #vectors #systems-of-equations #vector-analysis #inner-products
124
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Prove that <p(x),q(x)>=∫P(x)q(x)ⅆx is an inner product?

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#inner-products
527
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Proving that $\int_{-1}^1 f(x)g(x)dx$ is an inner product

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#vector-spaces #inner-products
273
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Infimum of norm equals infimum of inner product for self-adjoint operators?

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#operator-theory #hilbert-spaces #normed-spaces #inner-products
138
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Angle between subspaces of inner product space

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#inner-products
87
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If $V$ dense in $H$ and $(u,v)=0 \forall v$ then $u=0$

Published on
#functional-analysis #solution-verification #hilbert-spaces #inner-products
46
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Space with inner product identity

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#functional-analysis #analysis #hilbert-spaces #inner-products
61
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Two functions are the same only if the dot product is the same

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#functional-analysis #hilbert-spaces #inner-products
807
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How to show a Hilbert matrix is invertible?

Published on
#linear-algebra #matrices #inner-products #hilbert-matrices
41
Views

Show that this is a random inner product

Published on
#probability-theory #solution-verification #normed-spaces #inner-products #conditional-expectation
59
Views

Scalar Product with positive definite matrix

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#linear-algebra #inner-products #positive-definite #symmetric-matrices
129
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Generalizing the result $|a\times b|=|a||b||\sin \theta|$ to arbitrary dimensions.

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#vector-spaces #proof-writing #inner-products #conjectures #cross-product

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