Question

Proof that a $L^2$ function space defined on the reals is closed under addition

score 940 · Answer 1 · 2026-04-13 21:26:13

940

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Proof that a $L^2$ function space defined on the reals is closed under addition

Published on 13 Apr 2026 - 21:26

score 444 · Answer 2 · 2026-04-16 13:24:30

444

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Proving $\langle HX, Y \rangle = \langle X, HY \rangle$ for Hermitian matrices

Published on 16 Apr 2026 - 13:24

score 54 · Answer 3 · 2026-04-14 22:49:41

54

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Is it always possible to find a vector perpendicular to two given vectors in a general inner product space?

Published on 14 Apr 2026 - 22:49

score 79 · Answer 4 · 2026-04-13 22:14:35

79

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Explain why, if $x \in F$, then $x \in {F}^{\perp\perp}$

Published on 13 Apr 2026 - 22:14

score 1.4k · Answer 5 · 2026-04-13 11:25:30

1.4k

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Solving Inner Product Equations

Published on 13 Apr 2026 - 11:25

score 40 · Answer 6 · 2026-04-11 21:09:51

40

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The inner product spaces and linearity in probability

Published on 11 Apr 2026 - 21:09

score 516 · Answer 7 · 2026-04-14 12:52:24

516

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Does the inner product $\langle \cdot, \cdot \rangle$ induce any other norms other than the 2 norm?

Published on 14 Apr 2026 - 12:52

score 1.1k · Answer 8 · 2026-04-13 14:44:18

1.1k

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Intuition for orthogonality in infinite dimensions

Published on 13 Apr 2026 - 14:44

score 903 · Answer 9 · 2026-04-14 00:58:05

903

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Why is the inner product of a quadratic form a quadratic form?

Published on 14 Apr 2026 - 0:58

score 763 · Answer 10 · 2026-04-15 23:58:12

763

Views

maximum vector in $\Bbb R^n$ which any two of them has dot product less than 0

Published on 15 Apr 2026 - 23:58

score 194 · Answer 11 · 2026-04-17 07:48:07

194

Views

Proving that $\langle e_i, e_j \rangle = \delta_{ij}$

Published on 17 Apr 2026 - 7:48

score 97 · Answer 12 · 2026-04-15 13:35:17

97

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Progressed : Convergence problem in Hilbert Space and necessity of inner product

Published on 15 Apr 2026 - 13:35

score 5.8k · Answer 13 · 2026-04-12 14:14:02

5.8k

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all possible inner products in $\mathbb R^2$

Published on 12 Apr 2026 - 14:14

score 53 · Answer 14 · 2026-04-16 08:44:52

53

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For a regular parametrised plane curve $\alpha$, show that $\langle \alpha''(t),n(t)\rangle =- \langle \alpha'(t),n'(t)\rangle$

Published on 16 Apr 2026 - 8:44

score 1.8k · Answer 15 · 2026-04-12 19:07:50

1.8k

Views

P is an orthogonal projector if and only if $P^2 = P$ and $AP$ is symmetric

Published on 12 Apr 2026 - 19:07

List Question

Proof that a $L^2$ function space defined on the reals is closed under addition

Proving $\langle HX, Y \rangle = \langle X, HY \rangle$ for Hermitian matrices

Is it always possible to find a vector perpendicular to two given vectors in a general inner product space?

Explain why, if $x \in F$, then $x \in {F}^{\perp\perp}$

Solving Inner Product Equations

The inner product spaces and linearity in probability

Does the inner product $\langle \cdot, \cdot \rangle$ induce any other norms other than the 2 norm?

Intuition for orthogonality in infinite dimensions

Why is the inner product of a quadratic form a quadratic form?

maximum vector in $\Bbb R^n$ which any two of them has dot product less than 0

Proving that $\langle e_i, e_j \rangle = \delta_{ij}$

Progressed : Convergence problem in Hilbert Space and necessity of inner product

all possible inner products in $\mathbb R^2$

For a regular parametrised plane curve $\alpha$, show that $\langle \alpha''(t),n(t)\rangle =- \langle \alpha'(t),n'(t)\rangle$

P is an orthogonal projector if and only if $P^2 = P$ and $AP$ is symmetric

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