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A simple proof for angle inequality in inner product spaces

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#linear-algebra #inner-products
1.2k
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Orthonormality of the columns of a matrix

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#linear-algebra #inner-products #orthonormal
437
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Cauchy-Schwarz Inequality without using $\langle a x,y\rangle=a\langle x,y\rangle$

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#real-analysis #linear-algebra #inequality #vector-spaces #inner-products
3.5k
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inner product and hermitian scalar product

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#linear-algebra #vector-spaces #vectors #inner-products
43
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Finding rotated orthogonal vectors without knowing lengths

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#linear-algebra #vector-spaces #vectors #inner-products #rotations
1.1k
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Getting the unique element in the Riesz-Frechet Theorem.

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#functional-analysis #vector-spaces #hilbert-spaces #inner-products #linear-transformations
240
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Uniqueness of midpoints in inner product spaces

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#inner-products
615
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Dual of Hilbert space : induced norm vs. operator norm

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#hilbert-spaces #normed-spaces #inner-products
626
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Possible ways to induce norm from inner product

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#functional-analysis #normed-spaces #inner-products
105
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prove $\langle f(x),f'(x)\rangle = 0$

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#real-analysis #proof-verification #inner-products
197
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Are there any books/papers talking about inner product on vectors over finite fields?

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#finite-fields #inner-products
1.5k
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$\ell^p\!,$ for $p\neq2$, is not an inner product space.

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#general-topology #functional-analysis #normed-spaces #inner-products
347
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Question on a property of the orthogonal complement: $A\subset(A^\perp)^\perp$

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#inner-products
41
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Solutions to the equation $\langle z,u_1\rangle \langle z,u_2\rangle =\langle u_1,u_2\rangle$.

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#complex-analysis #complex-numbers #inner-products
759
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Bounds for inner product of $Ax$ and $x$

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#eigenvalues-eigenvectors #normed-spaces #inner-products

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