Question

How to find the maximum or minumum of a function, if the roots of the first derivatice are non real?

score 68 · Answer 1 · 2026-04-14 08:34:09

68

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How to find the maximum or minumum of a function, if the roots of the first derivatice are non real?

Published on 14 Apr 2026 - 8:34

score 430 · Answer 2 · 2026-04-16 01:29:48

430

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Finding z in the form $a + bi$ when $z^2 = 1 + i + {58\over{9(3-7i)}}$

Published on 16 Apr 2026 - 1:29

score 80 · Answer 3 · 2026-04-10 11:19:47

80

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Complex numbers : find the value of and

Published on 10 Apr 2026 - 11:19

score 43 · Answer 4 · 2026-04-15 19:59:43

Find the sum of the elements of $A=\bigg\{ z\in\mathbb{C}\bigg|z\cdot \overline{z}=2, \bigg| \dfrac{2z+3}{z-3i} \bigg|=1 \bigg\}$.

score 46 · Answer 5 · 2026-04-15 19:53:51

If $z_1$ and $z_2$ are two complex numbers and $\arg (\frac{z_1+z_2}{z_1-z_2})=\frac{\pi}{2}$, the figure formed by origin, $z_1$, $z_2$ and$z_1+z_2$

score 283 · Answer 6 · 2026-04-15 22:36:27

283

Views

Prove that if $\lim_{z \to z_0}f(z)=w$

Published on 15 Apr 2026 - 22:36

score 56 · Answer 7 · 2026-04-15 02:49:32

56

Views

$\left| \frac{1}{z}+ \sum_{n=1}^\infty \frac{2z}{z^2-n^2}\right| \le C + C \sum_{n=1}^\infty \frac{y}{y^2+n^2}$ for $y>1$ and $|x|\le 1/2$.

Published on 15 Apr 2026 - 2:49

score 40 · Answer 8 · 2026-04-12 18:06:09

40

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What is the unit of measurement of $z$ as a solution to the equation: $\sin z=2$?

Published on 12 Apr 2026 - 18:06

score 38 · Answer 9 · 2026-04-14 00:17:51

38

Views

Agreement of formulas for orthogonal projection onto a unit vector and non-unit vector

Published on 14 Apr 2026 - 0:17

score 971 · Answer 10 · 2026-04-15 12:48:23

971

Views

Value of $\arg(\sin \theta +i\cos \theta)$

Published on 15 Apr 2026 - 12:48

score 95 · Answer 11 · 2026-05-14 09:33:51

95

Views

Equivalence relation and bijection

Published on 14 May 2026 - 9:33

score 131 · Answer 12 · 2026-04-14 01:50:38

131

Views

How can I prove $\frac{\pi}{4}=\arctan\frac{1}{2}+\arctan\frac{1}{3}$ by using the product $(2+i)(3+i)$?

Published on 14 Apr 2026 - 1:50

score 68 · Answer 13 · 2026-04-15 19:08:06

68

Views

Complex vectors in Hilbert space, or, how much is 0.707^2 + (0.707i)^2?

Published on 15 Apr 2026 - 19:08

score 82 · Answer 14 · 2026-04-13 21:15:32

82

Views

Embedding of $\mathbb{R}$ in $\mathbb{C}$

Published on 13 Apr 2026 - 21:15

score 117 · Answer 15 · 2026-05-11 05:12:39

117

Views

Cyclotomic Polynomial Recurrence Identity

Published on 11 May 2026 - 5:12

List Question

How to find the maximum or minumum of a function, if the roots of the first derivatice are non real?

Finding z in the form $a + bi$ when $z^2 = 1 + i + {58\over{9(3-7i)}}$

Complex numbers : find the value of and

Find the sum of the elements of $A=\bigg\{ z\in\mathbb{C}\bigg|z\cdot \overline{z}=2, \bigg| \dfrac{2z+3}{z-3i} \bigg|=1 \bigg\}$.

If $z_1$ and $z_2$ are two complex numbers and $\arg (\frac{z_1+z_2}{z_1-z_2})=\frac{\pi}{2}$, the figure formed by origin, $z_1$, $z_2$ and$z_1+z_2$

Prove that if $\lim_{z \to z_0}f(z)=w$

$\left| \frac{1}{z}+ \sum_{n=1}^\infty \frac{2z}{z^2-n^2}\right| \le C + C \sum_{n=1}^\infty \frac{y}{y^2+n^2}$ for $y>1$ and $|x|\le 1/2$.

What is the unit of measurement of $z$ as a solution to the equation: $\sin z=2$?

Agreement of formulas for orthogonal projection onto a unit vector and non-unit vector

Value of $\arg(\sin \theta +i\cos \theta)$

Equivalence relation and bijection

How can I prove $\frac{\pi}{4}=\arctan\frac{1}{2}+\arctan\frac{1}{3}$ by using the product $(2+i)(3+i)$?

Complex vectors in Hilbert space, or, how much is 0.707^2 + (0.707i)^2?

Embedding of $\mathbb{R}$ in $\mathbb{C}$

Cyclotomic Polynomial Recurrence Identity

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