List questions from orthogonality

Published on 25 Mar 2026 - 20:09

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Show that any projector onto subspace L is parallel to M

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40

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Show that these curve families are orthogonal: $f(xy) = C$ and $y^2 - x^2 = D$

Published on 26 Mar 2026 - 14:22

36

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Are circles also squares in $(\mathbb{R}^2,||\cdot||_{\infty})$?

Published on 06 Dec 2018 - 12:22

29

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Linear Algebra: orthogonality in $\mathbb{R}^{3}$

Published on 08 Dec 2018 - 23:25

279

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Orthogonal transformation of standard normal sample

Published on 09 Dec 2018 - 15:19

33

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Orthogonality of integer shifts and sum of fourier transforms

Published on 09 Dec 2018 - 18:46

93

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$v \subseteq H \implies V^\bot$ is a closed subspace of the Hilbert space $H$

Published on 10 Dec 2018 - 19:31

70

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Why $\int_0^{2\pi} \sin^2 x \mathrm{d}x \neq \int_0^{2\pi}\sin x \sin nx \mathrm{d}x \to n=1$

Published on 13 Dec 2018 - 1:43

564

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Existence of orthogonal matrices with zero diagonal and non-zero off-diagonal values

Published on 15 Dec 2018 - 15:51

176

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Why is the dot product of two columns $j$ and $k$ in FFT equal to $1+w^{j-k} + \dots + w^{(n-1)(j-k)}$?

Published on 25 Mar 2026 - 7:45

53

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On the construction of orthogonal polynomials

Published on 25 Mar 2026 - 1:30

409

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Orthogonal complement and norm

Published on 21 Dec 2018 - 9:31

1.2k

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Inner product with orthogonal complement

Published on 21 Dec 2018 - 20:59

619

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Basis for orthogonal complement possibly with linear combinations

Published on 25 Mar 2026 - 2:57

List Question

Intersection of n hyperplanes in $\mathbb{R}^n$

Show that any projector onto subspace L is parallel to M

Show that these curve families are orthogonal: $f(xy) = C$ and $y^2 - x^2 = D$

Are circles also squares in $(\mathbb{R}^2,||\cdot||_{\infty})$?

Linear Algebra: orthogonality in $\mathbb{R}^{3}$

Orthogonal transformation of standard normal sample

Orthogonality of integer shifts and sum of fourier transforms

$v \subseteq H \implies V^\bot$ is a closed subspace of the Hilbert space $H$

Why $\int_0^{2\pi} \sin^2 x \mathrm{d}x \neq \int_0^{2\pi}\sin x \sin nx \mathrm{d}x \to n=1$

Existence of orthogonal matrices with zero diagonal and non-zero off-diagonal values

Why is the dot product of two columns $j$ and $k$ in FFT equal to $1+w^{j-k} + \dots + w^{(n-1)(j-k)}$?

On the construction of orthogonal polynomials

Orthogonal complement and norm

Inner product with orthogonal complement

Basis for orthogonal complement possibly with linear combinations

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