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Orthogonal polynomials with respect to $\langle u , v\rangle$ = $\int_{-1}^{1}e^{-|x|}u(x)v(x)dx$

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#real-analysis #inner-products #orthogonality
53
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Show that $\varphi(x,ix)=0 $ iff $\varphi$ is the real part of a complex inner product in $E$.

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#metric-spaces #normed-spaces #inner-products
70
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Inner Product Inequality for unitary vectors

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#inner-products
87
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Convexity and sum of variables

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#real-analysis #inequality #convex-analysis #convex-optimization #inner-products
90
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Problem with Angle Between Two Vectors Proof

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#vectors #inner-products
106
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Vector dot product in machine learning

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#vectors #inner-products
139
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Inner product of B-splines in orthogonalization

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#inner-products #orthogonality #gram-schmidt
88
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Optimization with inner product condition

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#optimization #convex-optimization #inner-products
41
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Intuition of $\left<f-a_0,f-a_0\right> =\left<f+a_0,f-a_0\right>$

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#real-analysis #fourier-analysis #fourier-series #inner-products #periodic-functions
40
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Compute the dot product

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#vectors #inner-products
70
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Proving that a given mapping is a inner product

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#linear-algebra #polynomials #linear-transformations #inner-products
500
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Find two vectors that are perpendicular to each other and w

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#linear-algebra #vectors #inner-products
44
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Is it possible that one inner product is always greater or equal to the other inner product on the same vector space?

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#linear-algebra #inner-products
201
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Dot Product Rule with differentiable curves

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#calculus #inner-products
52
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Can we find an inner product under this condition

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#linear-algebra #inner-products

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