Question

What does $p^2_F$ mean in the context of inner product space?

score 38 · Answer 1 · 2019-08-11 23:59:52

38

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What does $p^2_F$ mean in the context of inner product space?

Published on 11 Aug 2019 - 23:59

score 101 · Answer 2 · 2026-03-26 06:15:17

101

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Problem II.3.12: Prove that $\|x-p_{F}(x)\| = \inf_{y \in F} \|x-y\|$ for an orthonormal system in an inner product space

Published on 26 Mar 2026 - 6:15

score 80 · Answer 3 · 2026-03-26 06:15:17

80

Views

Problem II.3.13: How to prove $\sum_{k=0}^{m}|(x | u_{k})|^{2} \le \|x\|^{2}$ for an orthonormal system of an inner product space

Published on 26 Mar 2026 - 6:15

score 220 · Answer 4 · 2026-03-25 11:13:40

220

Views

Proving basis functions span the rotation-invariant subspace of R3

Published on 25 Mar 2026 - 11:13

score 340 · Answer 5 · 2026-03-25 16:46:31

340

Views

Fréchet Derivative of Inner Product

Published on 25 Mar 2026 - 16:46

score 139 · Answer 6 · 2026-03-26 18:59:40

139

Views

On proving that a certain sequence is Cauchy in a Hilbert space.

Published on 26 Mar 2026 - 18:59

score 135 · Answer 7 · 2026-03-25 05:01:31

135

Views

Characterising the cone of elements whose inner product with $v \otimes v$ is non-negative

Published on 25 Mar 2026 - 5:01

score 24 · Answer 8 · 2019-08-18 14:38:55

24

Views

Lower bound for product is a constant?

Published on 18 Aug 2019 - 14:38

score 496 · Answer 9 · 2026-03-26 08:03:25

496

Views

Show that if vector $\overline{v}$ is already at projection subspace $U$ that $\text{proj}_u(\overline{v})=\overline{v}$

Published on 26 Mar 2026 - 8:03

score 187 · Answer 10 · 2026-03-25 06:02:21

187

Views

When is there an inner product making a given matrix unitary?

Published on 25 Mar 2026 - 6:02

score 208 · Answer 11 · 2026-03-29 06:55:23

208

Views

Derivative of Dot Product as matrix multiplication

Published on 29 Mar 2026 - 6:55

score 1.4k · Answer 12 · 2026-03-25 05:06:47

1.4k

Views

Orthogonal polynomials with respect to the weighting function $\omega(x)=\frac{x}{e^x-1}$

Published on 25 Mar 2026 - 5:06

score 88 · Answer 13 · 2026-03-25 06:29:34

88

Views

Show that image of error vector $L(f-f_d)$ belongs to orthogonal complement of $V_d$

Published on 25 Mar 2026 - 6:29

score 289 · Answer 14 · 2019-08-22 14:55:04

289

Views

Inner product and the sin

Published on 22 Aug 2019 - 14:55

score 188 · Answer 15 · 2026-03-26 07:57:04

188

Views

Proof that $\vec{v} \in U \iff \text{proj}_U(\vec{v})=\vec{v}$

Published on 26 Mar 2026 - 7:57

List Question

What does $p^2_F$ mean in the context of inner product space?

Problem II.3.12: Prove that $\|x-p_{F}(x)\| = \inf_{y \in F} \|x-y\|$ for an orthonormal system in an inner product space

Problem II.3.13: How to prove $\sum_{k=0}^{m}|(x | u_{k})|^{2} \le \|x\|^{2}$ for an orthonormal system of an inner product space

Proving basis functions span the rotation-invariant subspace of R3

Fréchet Derivative of Inner Product

On proving that a certain sequence is Cauchy in a Hilbert space.

Characterising the cone of elements whose inner product with $v \otimes v$ is non-negative

Lower bound for product is a constant?

Show that if vector $\overline{v}$ is already at projection subspace $U$ that $\text{proj}_u(\overline{v})=\overline{v}$

When is there an inner product making a given matrix unitary?

Derivative of Dot Product as matrix multiplication

Orthogonal polynomials with respect to the weighting function $\omega(x)=\frac{x}{e^x-1}$

Show that image of error vector $L(f-f_d)$ belongs to orthogonal complement of $V_d$

Inner product and the sin

Proof that $\vec{v} \in U \iff \text{proj}_U(\vec{v})=\vec{v}$

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