Question

Orthogonal projection over $Z=\overline{\text{span}\{e_k;k\in I\}}$

score 72 · Answer 1 · 2021-01-30 23:11:08

72

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Orthogonal projection over $Z=\overline{\text{span}\{e_k;k\in I\}}$

Published on 30 Jan 2021 - 23:11

score 28 · Answer 2 · 2021-02-01 15:28:37

28

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why $\sum_{n=1}^\infty \int_0^c \tau_n(x)dx \int_0^d \overline{\tau_n(x)}dx$ is the $min(c,d)$?

Published on 01 Feb 2021 - 15:28

score 619 · Answer 3 · 2021-02-05 16:58:40

619

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Why does a helix have a radius of curvature of $(r^2+h^2)/r$?

Published on 05 Feb 2021 - 16:58

score 84 · Answer 4 · 2021-02-15 06:08:41

84

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If $U$ is dense in $H$, $(e_i)$ is an orthonormal basis of $U$ and $⟨u,e_i⟩_U=λ_i⟨u,e_i⟩_H$, is $(\sqrt λ_ie_i)$ an orthonormal basis of $H$?

Published on 15 Feb 2021 - 6:08

score 214 · Answer 5 · 2026-02-23 09:43:23

214

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Calculating the normal to a hyper surface

Published on 23 Feb 2026 - 9:43

score 49 · Answer 6 · 2021-02-17 20:22:08

49

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I need to prove that $\{e_n\ |\ n \in \Bbb Z \}$ is an orthonormal basis for $L^2 (\Bbb S^1).$

Published on 17 Feb 2021 - 20:22

score 163 · Answer 7 · 2021-02-26 14:11:27

163

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show that the set of orthogonal matrices is bounded

Published on 26 Feb 2021 - 14:11

score 96 · Answer 8 · 2021-02-27 00:38:47

96

Views

Inner product of elements in an orthonomal set and elements in a Hilbert Space

Published on 27 Feb 2021 - 0:38

score 1k · Answer 9 · 2026-03-26 06:25:47

1k

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Gram-Schmidt orthonormal basis for x1 + x2+ x3 =0

Published on 26 Mar 2026 - 6:25

score 208 · Answer 10 · 2021-03-10 11:07:50

208

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Orthonormal basis of $L^2( (0,a)\cup(b,c) )$

Published on 10 Mar 2021 - 11:07

score 226 · Answer 11 · 2021-03-11 22:46:01

226

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Coordinate vectors relative to an orthonormal basis

Published on 11 Mar 2021 - 22:46

score 111 · Answer 12 · 2026-03-27 11:48:18

111

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Orthonormal basis of the tangent space of a zero manifold

Published on 27 Mar 2026 - 11:48

score 27 · Answer 13 · 2026-03-26 14:26:32

27

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Showing that two sets span the same subpace

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score 28 · Answer 14 · 2021-03-18 11:21:20

28

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Question about the standard orthonormal basis of nomalized eigenvectors of a positive definite matrix

Published on 18 Mar 2021 - 11:21

score 350 · Answer 15 · 2021-03-18 22:33:39

350

Views

Total orthonormal sequences in a Hilbert space

Published on 18 Mar 2021 - 22:33

List Question

Orthogonal projection over $Z=\overline{\text{span}\{e_k;k\in I\}}$

why $\sum_{n=1}^\infty \int_0^c \tau_n(x)dx \int_0^d \overline{\tau_n(x)}dx$ is the $min(c,d)$?

Why does a helix have a radius of curvature of $(r^2+h^2)/r$?

If $U$ is dense in $H$, $(e_i)$ is an orthonormal basis of $U$ and $⟨u,e_i⟩_U=λ_i⟨u,e_i⟩_H$, is $(\sqrt λ_ie_i)$ an orthonormal basis of $H$?

Calculating the normal to a hyper surface

I need to prove that $\{e_n\ |\ n \in \Bbb Z \}$ is an orthonormal basis for $L^2 (\Bbb S^1).$

show that the set of orthogonal matrices is bounded

Inner product of elements in an orthonomal set and elements in a Hilbert Space

Gram-Schmidt orthonormal basis for x1 + x2+ x3 =0

Orthonormal basis of $L^2( (0,a)\cup(b,c) )$

Coordinate vectors relative to an orthonormal basis

Orthonormal basis of the tangent space of a zero manifold

Showing that two sets span the same subpace

Question about the standard orthonormal basis of nomalized eigenvectors of a positive definite matrix

Total orthonormal sequences in a Hilbert space

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