List questions from inner-products

Published on 15 Apr 2026 - 16:07

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$V$ has an orthonormal basis.

Published on 11 Apr 2026 - 7:57

164

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Relation between standard inner products on $R^n$ and $C^n$

Published on 13 Apr 2026 - 16:14

564

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How are the dot products defined between two vectors in the Poincaré Ball Model of the Hyperbolic Geometry

Published on 13 Apr 2026 - 5:35

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Finding medians from vectors

Published on 08 Apr 2026 - 19:35

518

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why $C_{2}[a,b]$ is an inner product space under the given inner product, while $C[a,b]$ is not?

Published on 15 Apr 2026 - 23:46

180

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Relation to ∇f(x)⋅x and laplacian

Published on 16 Apr 2026 - 13:34

6k

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Norm of sine\cosine

Published on 08 Apr 2026 - 10:26

130

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Explain why the following map is NOT a scalar product

Published on 12 Apr 2026 - 18:47

59

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Inner product identity for Hilbert space

Published on 10 Apr 2026 - 21:34

469

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Map of Pre-Hilbert Space is affine if it is an isometry

Published on 14 Apr 2026 - 15:01

250

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equality with inner product divided by norm

Published on 13 Apr 2026 - 9:31

59

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Is $V=\mathbb{Z}^{4}_{7}$ a inner product space?

Published on 15 Apr 2026 - 4:43

338

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Find the polynomial in a linear subspace that minimizes the distance from a given polynomial

Published on 16 Apr 2026 - 1:23

225

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Find the adjoint under the inner product $\langle f, g \rangle = \int_0^1 f(t)g(t)t \ dt$ of $\mathcal{L}(f)(t) = \frac{d^2 f}{dt^2} + f$.

Published on 17 Apr 2026 - 10:30

List Question

Showing that $Tp(x)=(1-x^2)p''(x)-2xp'(x) $ is self-adjoint

$V$ has an orthonormal basis.

Relation between standard inner products on $R^n$ and $C^n$

How are the dot products defined between two vectors in the Poincaré Ball Model of the Hyperbolic Geometry

Finding medians from vectors

why $C_{2}[a,b]$ is an inner product space under the given inner product, while $C[a,b]$ is not?

Relation to ∇f(x)⋅x and laplacian

Norm of sine\cosine

Explain why the following map is NOT a scalar product

Inner product identity for Hilbert space

Map of Pre-Hilbert Space is affine if it is an isometry

equality with inner product divided by norm

Is $V=\mathbb{Z}^{4}_{7}$ a inner product space?

Find the polynomial in a linear subspace that minimizes the distance from a given polynomial

Find the adjoint under the inner product $\langle f, g \rangle = \int_0^1 f(t)g(t)t \ dt$ of $\mathcal{L}(f)(t) = \frac{d^2 f}{dt^2} + f$.

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