List questions from complex-numbers

Published on 15 Apr 2026 - 21:54

151

Views

When is $(a^b)^c$ not equal to $a^{bc}$?

Published on 13 Apr 2026 - 0:00

148

Views

How is $(2+i\sqrt{2}) \cdot (2-i\sqrt{2})$ calculated?

Published on 15 Apr 2026 - 18:32

52

Views

How to show that $|z_1+z_2|+|z_1-z_2| = |z_1+\sqrt{z^2_1-z^2_2} |+|z_1-\sqrt{z^2_1-z^2_2} | $?

Published on 16 Apr 2026 - 18:22

1k

Views

Show that if $f(z)$ is analytic for $|z| \leq R$, $f(0)=0$ and $|f(z)| \leq M$ then $|f(z)| \leq \frac{M|z|}{R}$.

Published on 15 Apr 2026 - 12:05

282

Views

Find the average value of $x^2 - y^2 + 2y$ over the circle $|z - 5 + 2i| = 3$.

Published on 15 Apr 2026 - 18:56

42

Views

Moduli of complex numbers

Published on 08 Apr 2026 - 16:13

78

Views

Why $i^{-3}$ equals to $i$?

Published on 12 Apr 2026 - 17:10

233

Views

Geometry solution involving complex numbers from USAMO

Published on 09 Apr 2026 - 23:26

134

Views

How to calculate the value of $\cos \theta$ if $\cos 3\theta$ is known

Published on 10 Apr 2026 - 21:14

60

Views

Stuck at finding the locus

Published on 26 Mar 2026 - 6:19

105

Views

Complex geometry formulas

Published on 10 Apr 2026 - 18:42

929

Views

Why does $\sqrt a\sqrt b =\sqrt {ab}$ only hold when at least one of $a$ and $b$ is a positive number?

Published on 14 Apr 2026 - 22:26

67

Views

Rewriting of a complex number

Published on 28 Mar 2026 - 16:59

37

Views

Identification of a plane transformation

Published on 10 Apr 2026 - 5:47

List Question

Problem with General Contour integral

When is $(a^b)^c$ not equal to $a^{bc}$?

How is $(2+i\sqrt{2}) \cdot (2-i\sqrt{2})$ calculated?

How to show that $|z_1+z_2|+|z_1-z_2| = |z_1+\sqrt{z^2_1-z^2_2} |+|z_1-\sqrt{z^2_1-z^2_2} | $?

Show that if $f(z)$ is analytic for $|z| \leq R$, $f(0)=0$ and $|f(z)| \leq M$ then $|f(z)| \leq \frac{M|z|}{R}$.

Find the average value of $x^2 - y^2 + 2y$ over the circle $|z - 5 + 2i| = 3$.

Moduli of complex numbers

Why $i^{-3}$ equals to $i$?

Geometry solution involving complex numbers from USAMO

How to calculate the value of $\cos \theta$ if $\cos 3\theta$ is known

Stuck at finding the locus

Complex geometry formulas

Why does $\sqrt a\sqrt b =\sqrt {ab}$ only hold when at least one of $a$ and $b$ is a positive number?

Rewriting of a complex number

Identification of a plane transformation

Trending Questions

Popular # Hahtags

Popular Questions