Question

Homogeneous quadratic in $n$ variables has nonzero singular point iff associated symmetric matrix has zero determinant.

score 347 · Answer 1 · 2026-03-22 12:11:21

347

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Homogeneous quadratic in $n$ variables has nonzero singular point iff associated symmetric matrix has zero determinant.

Published on 22 Mar 2026 - 12:11

score 355 · Answer 2 · 2026-03-17 13:52:08

355

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How do I show with Laurent Series Expansion that $1/z$ has a simple pole for $z=z_0=0$?

Published on 17 Mar 2026 - 13:52

score 2.5k · Answer 3 · 2026-03-23 06:03:57

2.5k

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Order of Poles of $1/\cos(1/z)$

Published on 23 Mar 2026 - 6:03

score 28 · Answer 4 · 2026-03-20 07:37:43

28

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Let $f(x, y) = y^2 - g(x) \in \mathbb{R}[x, y]$. Show that $(0, 0)$ is a singular point if and only if $g(x) = x^2(x-a)$.

Published on 20 Mar 2026 - 7:37

score 2k · Answer 5 · 2026-03-24 15:36:22

2k

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Classification of singularities of $\sin\left( \frac{1}{\sin(\frac{1}{z})}\right)$

Published on 24 Mar 2026 - 15:36

score 41 · Answer 6 · 2026-03-20 21:26:04

41

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$z=0$ is a removal singularity of $f$. (T/F)

Published on 20 Mar 2026 - 21:26

score 172 · Answer 7 · 2026-03-23 22:28:00

172

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Laurent expansion and singularities of $\frac{1-\cos(z)}{e^{2iz}-1}$

Published on 23 Mar 2026 - 22:28

score 105 · Answer 8 · 2026-03-19 19:46:32

105

Views

Example of integrable function which is nowhere $p$-integrable

Published on 19 Mar 2026 - 19:46

score 495 · Answer 9 · 2026-03-22 05:53:03

495

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Proving $0$ is a removable singularity

Published on 22 Mar 2026 - 5:53

score 311 · Answer 10 · 2026-03-17 09:29:10

311

Views

solve $XA = B$ in MATLAB

Published on 17 Mar 2026 - 9:29

score 362 · Answer 11 · 2026-03-20 09:09:45

362

Views

Why is $ u=\log(\sqrt{x^2+y^2})$ not harmonic for $x^2 + y^2 <1$?

Published on 20 Mar 2026 - 9:09

score 163 · Answer 12 · 2026-03-19 19:43:37

163

Views

Image of a neighborhood of a pole

Published on 19 Mar 2026 - 19:43

score 126 · Answer 13 · 2026-03-23 04:22:04

126

Views

Can $ f(z)$ be analytic in a deleted neighborgood of $z_0$ under this condition?

Published on 23 Mar 2026 - 4:22

score 56 · Answer 14 · 2026-03-22 05:07:36

56

Views

Essential singularity attains some value on every neightborhood

Published on 22 Mar 2026 - 5:07

score 1.5k · Answer 15 · 2026-03-16 18:59:34

1.5k

Views

How can a point that makes the ODE undefined be included into a domain of any solution?

Published on 16 Mar 2026 - 18:59

List Question

Homogeneous quadratic in $n$ variables has nonzero singular point iff associated symmetric matrix has zero determinant.

How do I show with Laurent Series Expansion that $1/z$ has a simple pole for $z=z_0=0$?

Order of Poles of $1/\cos(1/z)$

Let $f(x, y) = y^2 - g(x) \in \mathbb{R}[x, y]$. Show that $(0, 0)$ is a singular point if and only if $g(x) = x^2(x-a)$.

Classification of singularities of $\sin\left( \frac{1}{\sin(\frac{1}{z})}\right)$

$z=0$ is a removal singularity of $f$. (T/F)

Laurent expansion and singularities of $\frac{1-\cos(z)}{e^{2iz}-1}$

Example of integrable function which is nowhere $p$-integrable

Proving $0$ is a removable singularity

solve $XA = B$ in MATLAB

Why is $ u=\log(\sqrt{x^2+y^2})$ not harmonic for $x^2 + y^2 <1$?

Image of a neighborhood of a pole

Can $ f(z)$ be analytic in a deleted neighborgood of $z_0$ under this condition?

Essential singularity attains some value on every neightborhood

How can a point that makes the ODE undefined be included into a domain of any solution?

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