Question

Differential equation: y '(x) = a + sqrt (y(x) - a * x), do I have to make a case distinction between (y - ax => 0) and (y - ax <0)?

score 32 · Answer 1 · 2026-04-12 09:45:47

32

Views

Differential equation: y '(x) = a + sqrt (y(x) - a * x), do I have to make a case distinction between (y - ax => 0) and (y - ax <0)?

Published on 12 Apr 2026 - 9:45

score 72 · Answer 2 · 2026-05-05 10:46:42

72

Views

Proof that any $z \in \mathbb{C}$ can be written as $re^{i \theta}$

Published on 05 May 2026 - 10:46

score 41 · Answer 3 · 2026-04-15 04:14:53

41

Views

If $a$ is not real then $P(z)$ is not real. Prove that $a=0$

Published on 15 Apr 2026 - 4:14

score 101 · Answer 4 · 2026-04-16 23:26:50

101

Views

$f:\mathbb Q\to\mathbb C$ satisfying $f(x_1+\dots+x_{1988})=f(x_1)\dots f(x_{1988})$ and $\overline{f(1988)}f(x)=f(1988)\overline{f(x)}$

Published on 16 Apr 2026 - 23:26

score 20 · Answer 5 · 2026-04-09 05:21:53

20

Views

norm of a complex with imaginary power

Published on 09 Apr 2026 - 5:21

score 971 · Answer 6 · 2026-04-15 05:00:29

971

Views

Real and imaginary parts of basis of complex eigenvectors to form base of real eigenvectors?

Published on 15 Apr 2026 - 5:00

score 426 · Answer 7 · 2026-04-13 14:01:45

426

Views

Subgroup of circle group

Published on 13 Apr 2026 - 14:01

score 151 · Answer 8 · 2026-05-11 07:53:02

151

Views

Find an example of an entire function such that $f(z)=-f(iz)$ for all $z$

Published on 11 May 2026 - 7:53

score 104 · Answer 9 · 2026-03-26 06:20:17

104

Views

Locus of points in complex plane

Published on 26 Mar 2026 - 6:20

score 218 · Answer 10 · 2026-04-16 22:08:35

218

Views

What is $ (3 + w + 2w^2)^4 $ ? where $w$ is cube roots of unity

Published on 16 Apr 2026 - 22:08

score 53 · Answer 11 · 2026-04-14 15:08:11

53

Views

i to the power of i and other complex exponentials

Published on 14 Apr 2026 - 15:08

score 984 · Answer 12 · 2026-04-15 06:13:10

984

Views

Why matrices commuting with $\small\begin{bmatrix} 0&1\\-1&0\end{bmatrix}$ represent complex numbers?

Published on 15 Apr 2026 - 6:13

score 226 · Answer 13 · 2026-04-14 02:16:29

If $\omega$ is a cube root of unity $\not = 1$ then find the minimum value of $|a+b\omega +c\omega^2|$, where $a,b,c$ are integers but not all equal.

score 84 · Answer 14 · 2026-04-11 12:01:47

84

Views

Expressing common vector operations in terms of quaternions

Published on 11 Apr 2026 - 12:01

score 330 · Answer 15 · 2026-04-10 22:15:11

330

Views

Heron's formula vs 'complex cross products' for triangle area?

Published on 10 Apr 2026 - 22:15

List Question

Differential equation: y '(x) = a + sqrt (y(x) - a * x), do I have to make a case distinction between (y - ax => 0) and (y - ax <0)?

Proof that any $z \in \mathbb{C}$ can be written as $re^{i \theta}$

If $a$ is not real then $P(z)$ is not real. Prove that $a=0$

$f:\mathbb Q\to\mathbb C$ satisfying $f(x_1+\dots+x_{1988})=f(x_1)\dots f(x_{1988})$ and $\overline{f(1988)}f(x)=f(1988)\overline{f(x)}$

norm of a complex with imaginary power

Real and imaginary parts of basis of complex eigenvectors to form base of real eigenvectors?

Subgroup of circle group

Find an example of an entire function such that $f(z)=-f(iz)$ for all $z$

Locus of points in complex plane

What is $ (3 + w + 2w^2)^4 $ ? where $w$ is cube roots of unity

i to the power of i and other complex exponentials

Why matrices commuting with $\small\begin{bmatrix} 0&1\\-1&0\end{bmatrix}$ represent complex numbers?

If $\omega$ is a cube root of unity $\not = 1$ then find the minimum value of $|a+b\omega +c\omega^2|$, where $a,b,c$ are integers but not all equal.

Expressing common vector operations in terms of quaternions

Heron's formula vs 'complex cross products' for triangle area?

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