Question

all possible combinations of $a_j$s for $\sum_{j=1}^na_j\epsilon^{j}=0$ where $\epsilon=e^{\frac{2\pi i}{n}}$

score 34 · Answer 1 · 2026-04-16 04:27:36

34

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all possible combinations of $a_j$s for $\sum_{j=1}^na_j\epsilon^{j}=0$ where $\epsilon=e^{\frac{2\pi i}{n}}$

Published on 16 Apr 2026 - 4:27

score 137 · Answer 2 · 2026-04-09 17:53:39

137

Views

System of equations in terms of an unknown and its conjugate

Published on 09 Apr 2026 - 17:53

score 80 · Answer 3 · 2026-04-11 04:42:32

80

Views

Can you find a residue by using Taylor's formula for a single coefficient instead of expanding into a Laurent series?

Published on 11 Apr 2026 - 4:42

score 59 · Answer 4 · 2026-04-15 19:48:43

59

Views

Find all real numbers x such that $\mid x-14i\mid=1-x$.

Published on 15 Apr 2026 - 19:48

score 66 · Answer 5 · 2026-04-17 02:12:47

66

Views

Where did I go wrong in showing that $\left(1+\frac{ix}{n}\right)^n$ goes to $e^{ix}$ as n goes to infinity

Published on 17 Apr 2026 - 2:12

score 42 · Answer 6 · 2026-04-16 05:07:24

42

Views

Show that if $z$ is any point on the line joining $z_1 = 1$ and $z_2 = i$ then $|z|\geq \frac{1}{\sqrt{2}}$

Published on 16 Apr 2026 - 5:07

score 417 · Answer 7 · 2026-04-29 22:14:04

417

Views

Complex numbers $z_1$, $z_2$, $z_3$ and $z_4$ lie on a circle, show $w=\frac{(z_1-z_2)(z_3-z_4)}{(z_4-z_1)(z_2-z_3)}$ is real

Published on 29 Apr 2026 - 22:14

score 72 · Answer 8 · 2026-04-11 02:27:47

72

Views

How to prove that the n-th root is not continuous using the Fundamental Group

Published on 11 Apr 2026 - 2:27

score 123 · Answer 9 · 2026-04-30 10:35:24

123

Views

Jordan Lemma not applying

Published on 30 Apr 2026 - 10:35

score 48 · Answer 10 · 2026-04-09 06:29:16

48

Views

calculate Fourier expansion

Published on 09 Apr 2026 - 6:29

score 123 · Answer 11 · 2026-04-08 17:22:17

123

Views

Convert Complex to Trigonometric.

Published on 08 Apr 2026 - 17:22

score 754 · Answer 12 · 2026-04-11 11:34:35

754

Views

Phase angles of a complex eigenvector

Published on 11 Apr 2026 - 11:34

score 70 · Answer 13 · 2026-04-15 23:34:28

70

Views

Prove that the points A,B,C are collinear with the point $A$ lying between the points $B$ and $C$

Published on 15 Apr 2026 - 23:34

score 56 · Answer 14 · 2026-04-15 06:38:40

56

Views

>Is this always true that Re[$\int$ $w(t)dt$ ]$=$ $\int$ $Re[w(t)]$ $dt$.

Published on 15 Apr 2026 - 6:38

score 571 · Answer 15 · 2026-04-16 06:30:55

571

Views

Real part and imaginary part of a complex number of $i^{1/4}$

Published on 16 Apr 2026 - 6:30

List Question

all possible combinations of $a_j$s for $\sum_{j=1}^na_j\epsilon^{j}=0$ where $\epsilon=e^{\frac{2\pi i}{n}}$

System of equations in terms of an unknown and its conjugate

Can you find a residue by using Taylor's formula for a single coefficient instead of expanding into a Laurent series?

Find all real numbers x such that $\mid x-14i\mid=1-x$.

Where did I go wrong in showing that $\left(1+\frac{ix}{n}\right)^n$ goes to $e^{ix}$ as n goes to infinity

Show that if $z$ is any point on the line joining $z_1 = 1$ and $z_2 = i$ then $|z|\geq \frac{1}{\sqrt{2}}$

Complex numbers $z_1$, $z_2$, $z_3$ and $z_4$ lie on a circle, show $w=\frac{(z_1-z_2)(z_3-z_4)}{(z_4-z_1)(z_2-z_3)}$ is real

How to prove that the n-th root is not continuous using the Fundamental Group

Jordan Lemma not applying

calculate Fourier expansion

Convert Complex to Trigonometric.

Phase angles of a complex eigenvector

Prove that the points A,B,C are collinear with the point $A$ lying between the points $B$ and $C$

>Is this always true that Re[$\int$ $w(t)dt$ ]$=$ $\int$ $Re[w(t)]$ $dt$.

Real part and imaginary part of a complex number of $i^{1/4}$

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