Question

Inner product space $\langle v, x \rangle = \langle w, x \rangle \implies v = w$ on total set

score 178 · Answer 1 · 2020-06-23 08:01:56

178

Views

Inner product space $\langle v, x \rangle = \langle w, x \rangle \implies v = w$ on total set

Published on 23 Jun 2020 - 8:01

score 80 · Answer 2 · 2020-06-24 17:13:56

80

Views

How to find the operator $T*$

Published on 24 Jun 2020 - 17:13

score 237 · Answer 3 · 2020-06-24 19:25:03

237

Views

Maclaurin series as an orthonormal expansion of a Hilbert space

Published on 24 Jun 2020 - 19:25

score 54 · Answer 4 · 2020-06-25 10:00:46

54

Views

Let $A=\begin{bmatrix}1 & 2\\-1 & 1\end{bmatrix}$. Find a Matrix $B$ s.t for any $u,v \in \Bbb{R}^2, (u,Av)=(Bu,v)$

Published on 25 Jun 2020 - 10:00

score 511 · Answer 5 · 2026-04-04 11:21:10

511

Views

inner product over two functions

Published on 04 Apr 2026 - 11:21

score 2k · Answer 6 · 2026-03-28 10:03:55

2k

Views

What is meant by "dot product between random variables?"

Published on 28 Mar 2026 - 10:03

score 33 · Answer 7 · 2020-06-26 00:52:12

33

Views

If $\langle x, y \rangle = 0$, why is $\langle x - \mu_x \boldsymbol{1}, y - \mu_y \boldsymbol{1} \rangle = 0$ intuitively?

Published on 26 Jun 2020 - 0:52

score 170 · Answer 8 · 2026-03-30 14:55:49

170

Views

Geometric interpretation of Isotropic vector

Published on 30 Mar 2026 - 14:55

score 55 · Answer 9 · 2020-06-30 01:12:20

55

Views

Is it possible to define an inner product on a vector space $V$ over the field $\mathbb{Z}/p\mathbb{Z}$?

Published on 30 Jun 2020 - 1:12

score 135 · Answer 10 · 2026-04-06 04:17:41

135

Views

Dot product interpretation as an area

Published on 06 Apr 2026 - 4:17

score 51 · Answer 11 · 2020-06-30 20:52:35

51

Views

Is the following a formula for expressing a dot product in terms of length?

Published on 30 Jun 2020 - 20:52

score 98 · Answer 12 · 2020-07-01 11:03:44

98

Views

inner product space in Euclidean space.

Published on 01 Jul 2020 - 11:03

score 247 · Answer 13 · 2026-03-29 13:27:45

247

Views

The vector $\mid \phi \rangle \langle \phi \mid \psi \rangle$ is the projection of a vector $\mid \psi \rangle$ along the vector $\mid \phi \rangle$?

Published on 29 Mar 2026 - 13:27

score 116 · Answer 14 · 2026-04-02 02:57:59

116

Views

$H_1$ and $H_2$ are pre-Hilbert Hausdorff space if and only if $H_1 \times H_2$ is pre-Hilbert Hausdorff space

Published on 02 Apr 2026 - 2:57

score 65 · Answer 15 · 2020-07-03 23:34:38

65

Views

Orthonormal Basis property

Published on 03 Jul 2020 - 23:34

List Question

Inner product space $\langle v, x \rangle = \langle w, x \rangle \implies v = w$ on total set

How to find the operator $T*$

Maclaurin series as an orthonormal expansion of a Hilbert space

Let $A=\begin{bmatrix}1 & 2\\-1 & 1\end{bmatrix}$. Find a Matrix $B$ s.t for any $u,v \in \Bbb{R}^2, (u,Av)=(Bu,v)$

inner product over two functions

What is meant by "dot product between random variables?"

If $\langle x, y \rangle = 0$, why is $\langle x - \mu_x \boldsymbol{1}, y - \mu_y \boldsymbol{1} \rangle = 0$ intuitively?

Geometric interpretation of Isotropic vector

Is it possible to define an inner product on a vector space $V$ over the field $\mathbb{Z}/p\mathbb{Z}$?

Dot product interpretation as an area

Is the following a formula for expressing a dot product in terms of length?

inner product space in Euclidean space.

The vector $\mid \phi \rangle \langle \phi \mid \psi \rangle$ is the projection of a vector $\mid \psi \rangle$ along the vector $\mid \phi \rangle$?

$H_1$ and $H_2$ are pre-Hilbert Hausdorff space if and only if $H_1 \times H_2$ is pre-Hilbert Hausdorff space

Orthonormal Basis property

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