Question

Orthogonality of two wave functions

score 842 · Answer 1 · 2026-03-28 22:26:27

842

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Orthogonality of two wave functions

Published on 28 Mar 2026 - 22:26

score 195 · Answer 2 · 2026-03-25 14:25:58

195

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What non-zero function is w-orthogonal to all the polynomials of degree less than or equal to $n$?

Published on 25 Mar 2026 - 14:25

score 34 · Answer 3 · 2019-12-18 10:56:25

34

Views

In general, is it possible to construct a polynomial that is $w$-orthgonal to lower degree polynomials given any $w$?

Published on 18 Dec 2019 - 10:56

score 115 · Answer 4 · 2026-03-26 22:58:24

115

Views

Existence of inner product over $\mathbb{Q}$ non-degenerate,without normalized orthogonal basis, anisotropic but not definite.

Published on 26 Mar 2026 - 22:58

score 262 · Answer 5 · 2026-03-22 02:44:31

262

Views

The Bernoulli Polynomials

Published on 22 Mar 2026 - 2:44

score 61 · Answer 6 · 2026-03-25 06:05:07

61

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Finding orthogonal basis of subspace spanned by the vectors

Published on 25 Mar 2026 - 6:05

score 1.1k · Answer 7 · 2026-03-27 00:59:50

1.1k

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Prove that there exists $y \in V$ such that $y \in W^\perp$, but $\langle x, y \rangle \not= 0$.

Published on 27 Mar 2026 - 0:59

score 256 · Answer 8 · 2019-12-28 20:21:36

256

Views

Given $Ax=b$, if $x^\perp$ is a vector orthogonal to $x$, how can I show that $x^\perp\notin\text{Ker}(A)$

Published on 28 Dec 2019 - 20:21

score 444 · Answer 9 · 2019-12-28 21:11:17

444

Views

If $x$ is a solution of a linear system $Ax=b$ and $y$ is a vector orthogonal to $x$, is $x+y$ also a solution?

Published on 28 Dec 2019 - 21:11

score 37 · Answer 10 · 2026-03-26 21:10:18

37

Views

Partitioning $\mathbb{R}^n$ according to boundaries of the subset of vectors whose components are convex combinations

Published on 26 Mar 2026 - 21:10

score 80 · Answer 11 · 2026-03-26 04:52:44

80

Views

Detail in the proof that eigenvectors are orthogonal

Published on 26 Mar 2026 - 4:52

score 214 · Answer 12 · 2020-01-04 12:31:34

214

Views

Inverse of matrix given by orthogonal unit vectors

Published on 04 Jan 2020 - 12:31

score 63 · Answer 13 · 2020-01-04 12:33:08

63

Views

Complex valued equivalent of $\dot{x}(t) \perp x(t)$ when $\left|x(t)\right| = \mathrm{const}$

Published on 04 Jan 2020 - 12:33

score 74 · Answer 14 · 2026-03-28 01:06:40

74

Views

How many Spherical codes are there, given a constraint of distance between any pair of code?

Published on 28 Mar 2026 - 1:06

score 87 · Answer 15 · 2026-03-25 07:43:25

87

Views

Orthogonal basis with respect to the inner product

Published on 25 Mar 2026 - 7:43

List Question

Orthogonality of two wave functions

What non-zero function is w-orthogonal to all the polynomials of degree less than or equal to $n$?

In general, is it possible to construct a polynomial that is $w$-orthgonal to lower degree polynomials given any $w$?

Existence of inner product over $\mathbb{Q}$ non-degenerate,without normalized orthogonal basis, anisotropic but not definite.

The Bernoulli Polynomials

Finding orthogonal basis of subspace spanned by the vectors

Prove that there exists $y \in V$ such that $y \in W^\perp$, but $\langle x, y \rangle \not= 0$.

Given $Ax=b$, if $x^\perp$ is a vector orthogonal to $x$, how can I show that $x^\perp\notin\text{Ker}(A)$

If $x$ is a solution of a linear system $Ax=b$ and $y$ is a vector orthogonal to $x$, is $x+y$ also a solution?

Partitioning $\mathbb{R}^n$ according to boundaries of the subset of vectors whose components are convex combinations

Detail in the proof that eigenvectors are orthogonal

Inverse of matrix given by orthogonal unit vectors

Complex valued equivalent of $\dot{x}(t) \perp x(t)$ when $\left|x(t)\right| = \mathrm{const}$

How many Spherical codes are there, given a constraint of distance between any pair of code?

Orthogonal basis with respect to the inner product

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