Question

Ellipse on complex plane

score 241 · Answer 1 · 2026-04-11 04:17:49

241

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Ellipse on complex plane

Published on 11 Apr 2026 - 4:17

score 52 · Answer 2 · 2026-04-14 12:38:01

52

Views

Why is the inverse of a vector a complex number?

Published on 14 Apr 2026 - 12:38

score 37 · Answer 3 · 2026-04-15 04:22:06

37

Views

polar form and argument of $\lvert$1+i$\rvert$?

Published on 15 Apr 2026 - 4:22

score 30 · Answer 4 · 2026-04-10 12:37:43

30

Views

finding the degree of a zero of a function with given conditions

Published on 10 Apr 2026 - 12:37

score 2.2k · Answer 5 · 2026-04-12 05:27:53

2.2k

Views

Are all complex functions onto?

Published on 12 Apr 2026 - 5:27

score 173 · Answer 6 · 2026-04-10 00:08:47

173

Views

Are $\mathbb{C}-\mathbb{R}$ imaginary numbers?

Published on 10 Apr 2026 - 0:08

score 16 · Answer 7 · 2026-04-09 00:57:26

16

Views

Boundary of the absolute value of a sum of complex numbers

Published on 09 Apr 2026 - 0:57

score 64 · Answer 8 · 2026-04-12 23:34:36

64

Views

$\arg(r_+) = 0$ and $\arg(r_-) = \pi$

Published on 12 Apr 2026 - 23:34

score 447 · Answer 9 · 2026-04-16 14:16:41

447

Views

Solving $\arg\left(\frac{1}{z}\right) = \arg(\bar z)$?

Published on 16 Apr 2026 - 14:16

score 916 · Answer 10 · 2026-05-02 06:56:45

916

Views

Prove that the diagonals of a rhombus are orthogonal.

Published on 02 May 2026 - 6:56

score 53 · Answer 11 · 2026-04-15 07:07:19

53

Views

Using the Argument Principle, evaluate $\int_{|z|=4}\frac{2z\sin(z)+z^2\cos(z)}{z^2\sin(z)}dz$.

Published on 15 Apr 2026 - 7:07

score 39 · Answer 12 · 2026-04-16 11:22:35

Why is $\operatorname{Im}{\frac{1-e^{iny}}{-2i\sin{\frac{y}{2}}}}=\frac{1}{2\sin{\frac{y}{2}}}\operatorname{Re}(1-e^{iny})$?

score 211 · Answer 13 · 2026-05-14 19:40:29

211

Views

When does equality hold in $\Bigr\lvert\sum_{k=1}^n a_kb_k\Bigr\rvert^2 \le \left(\sum_{k=1}^n |a_k|^2\right)\left(\sum_{k=1}^n |b_k|^2\right)$?

Published on 14 May 2026 - 19:40

score 2.2k · Answer 14 · 2026-04-11 00:11:51

2.2k

Views

If $z$ is a complex number satisfying the equation $|z+i|+|z−i|=8 $ then maximum value of $|z|$ is?

Published on 11 Apr 2026 - 0:11

score 94 · Answer 15 · 2026-05-15 20:18:31

94

Views

Integral of a f(x,y)=xy over the circle with radius 2 oriented positively (Complex Analysis)

Published on 15 May 2026 - 20:18

List Question

Ellipse on complex plane

Why is the inverse of a vector a complex number?

polar form and argument of $\lvert$1+i$\rvert$?

finding the degree of a zero of a function with given conditions

Are all complex functions onto?

Are $\mathbb{C}-\mathbb{R}$ imaginary numbers?

Boundary of the absolute value of a sum of complex numbers

$\arg(r_+) = 0$ and $\arg(r_-) = \pi$

Solving $\arg\left(\frac{1}{z}\right) = \arg(\bar z)$?

Prove that the diagonals of a rhombus are orthogonal.

Using the Argument Principle, evaluate $\int_{|z|=4}\frac{2z\sin(z)+z^2\cos(z)}{z^2\sin(z)}dz$.

Why is $\operatorname{Im}{\frac{1-e^{iny}}{-2i\sin{\frac{y}{2}}}}=\frac{1}{2\sin{\frac{y}{2}}}\operatorname{Re}(1-e^{iny})$?

When does equality hold in $\Bigr\lvert\sum_{k=1}^n a_kb_k\Bigr\rvert^2 \le \left(\sum_{k=1}^n |a_k|^2\right)\left(\sum_{k=1}^n |b_k|^2\right)$?

If $z$ is a complex number satisfying the equation $|z+i|+|z−i|=8 $ then maximum value of $|z|$ is?

Integral of a f(x,y)=xy over the circle with radius 2 oriented positively (Complex Analysis)

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