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Show $e^{it}$ is bounded by $1$

score 144 · Answer 1 · 2026-04-11 03:06:05

144

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Show $e^{it}$ is bounded by $1$

Published on 11 Apr 2026 - 3:06

score 1.2k · Answer 2 · 2026-04-26 01:26:56

1.2k

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What is $\mathbb{C} \backslash \{0\}$?

Published on 26 Apr 2026 - 1:26

score 75 · Answer 3 · 2026-04-14 11:19:11

75

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Let Z , W , U , V complex numbers. Prove $|Z|+|U|+|V|+|W| ≤ |Z+U|+|Z+V|+|Z+W|+|U+V|+|U+W|+|V+W|$

Published on 14 Apr 2026 - 11:19

score 145 · Answer 4 · 2026-04-14 16:14:16

145

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Complex solutions of $(z-1)/(z+1)=z+2$

Published on 14 Apr 2026 - 16:14

score 256 · Answer 5 · 2026-04-16 20:24:00

If $\frac{z^2_{1}}{z_{2}z_{3}}+\frac{z^2_{2}}{z_{3}z_{1}}+\frac{z^2_{3}}{z_{1}z_{2}} = -1.$Then $|z_{1}+z_{2}+z_{3}|$

score 1.3k · Answer 6 · 2026-04-13 16:13:27

1.3k

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What is the square root of $3 + 2\sqrt{10}i$?

Published on 13 Apr 2026 - 16:13

score 231 · Answer 7 · 2026-04-25 08:39:17

231

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What is the quickest way of solving the system of linear complex equations?

Published on 25 Apr 2026 - 8:39

score 53 · Answer 8 · 2026-04-08 21:03:38

53

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exponentiation of complex numbers

Published on 08 Apr 2026 - 21:03

score 142 · Answer 9 · 2026-04-12 08:40:23

142

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What is the geometric interpretation of $\int_0^\pi e^{ix}\,dx = 2i$?

Published on 12 Apr 2026 - 8:40

score 67 · Answer 10 · 2026-04-13 11:04:07

67

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|z-1| = |z +i| On Which Sets Of Points For z In The Complex Plane?

Published on 13 Apr 2026 - 11:04

score 124 · Answer 11 · 2026-04-16 22:11:30

124

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Why $f=g$ or $f=\bar{g}$?

Published on 16 Apr 2026 - 22:11

score 36 · Answer 12 · 2026-04-16 13:15:25

36

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Find value of f(z) = sin^2(z) at z=i

Published on 16 Apr 2026 - 13:15

score 1.2k · Answer 13 · 2026-04-17 06:52:37

1.2k

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Important identities that can be obtained by manipulating the function $\frac{x}{e^x-1} = \frac{B_0}{0!} + \frac{B_1}{1!}x + \frac{B_2}{2!}x^2 + ...$?

Published on 17 Apr 2026 - 6:52

score 56 · Answer 14 · 2026-04-12 16:58:05

56

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Find the region of the plane given by the equation $z^2 = i|z|^2$

Published on 12 Apr 2026 - 16:58

score 72 · Answer 15 · 2026-04-14 05:41:26

72

Views

Condition for cyclic quadrilateral given $\sum_{i=1}^{4}{b_i}=0$ and $\sum_{i=1}^{4}{b_iz_i}=0$

Published on 14 Apr 2026 - 5:41

List Question

Show $e^{it}$ is bounded by $1$

What is $\mathbb{C} \backslash \{0\}$?

Let Z , W , U , V complex numbers. Prove $|Z|+|U|+|V|+|W| ≤ |Z+U|+|Z+V|+|Z+W|+|U+V|+|U+W|+|V+W|$

Complex solutions of $(z-1)/(z+1)=z+2$

If $\frac{z^2_{1}}{z_{2}z_{3}}+\frac{z^2_{2}}{z_{3}z_{1}}+\frac{z^2_{3}}{z_{1}z_{2}} = -1.$Then $|z_{1}+z_{2}+z_{3}|$

What is the square root of $3 + 2\sqrt{10}i$?

What is the quickest way of solving the system of linear complex equations?

exponentiation of complex numbers

What is the geometric interpretation of $\int_0^\pi e^{ix}\,dx = 2i$?

|z-1| = |z +i| On Which Sets Of Points For z In The Complex Plane?

Why $f=g$ or $f=\bar{g}$?

Find value of f(z) = sin^2(z) at z=i

Important identities that can be obtained by manipulating the function $\frac{x}{e^x-1} = \frac{B_0}{0!} + \frac{B_1}{1!}x + \frac{B_2}{2!}x^2 + ...$?

Find the region of the plane given by the equation $z^2 = i|z|^2$

Condition for cyclic quadrilateral given $\sum_{i=1}^{4}{b_i}=0$ and $\sum_{i=1}^{4}{b_iz_i}=0$

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