Question

If $ w_1 $and $ w_2 $ are the roots of $w^2-2sw+t=0$, then $|w_1|=|w_2|\iff 0<s^2/t\le1$

score 156 · Answer 1 · 2026-04-17 06:51:55

156

Views

If $ w_1 $and $ w_2 $ are the roots of $w^2-2sw+t=0$, then $|w_1|=|w_2|\iff 0<s^2/t\le1$

Published on 17 Apr 2026 - 6:51

score 755 · Answer 2 · 2026-04-11 05:42:35

755

Views

The principle of Nested Rectangles

Published on 11 Apr 2026 - 5:42

score 553 · Answer 3 · 2026-04-14 09:58:25

553

Views

Derivation of the equations for non-uniform circular motion using complex analysis.

Published on 14 Apr 2026 - 9:58

score 133 · Answer 4 · 2026-04-15 16:42:53

133

Views

From what set of numbers can $a$ and $b$ be from in the complex number $a+bi\in\mathbb{C}$

Published on 15 Apr 2026 - 16:42

score 239 · Answer 5 · 2026-04-13 08:58:31

239

Views

Polar form of complex numbers.

Published on 13 Apr 2026 - 8:58

score 1.3k · Answer 6 · 2026-04-10 08:42:16

1.3k

Views

History of the matrix representation of complex numbers

Published on 10 Apr 2026 - 8:42

score 142 · Answer 7 · 2026-04-16 11:53:40

142

Views

If $w_1=a_1+ib_1$ and $w_2=a_2+ib_2$ are complex numbers, then $|e^{w_1}-e^{w_2}|\geq e^{a_1}-e^{a_2}$

Published on 16 Apr 2026 - 11:53

score 492 · Answer 8 · 2026-04-15 09:14:29

492

Views

If $\{ z_k\}_{0\leq k < n}$ are the $n$-th roots of a unity with $z_0 = 1$ prove that $n = \prod (z_0-z_k)$

Published on 15 Apr 2026 - 9:14

score 165 · Answer 9 · 2026-04-08 07:07:57

165

Views

show an integral is bounded by a constant independent of a parameter

Published on 08 Apr 2026 - 7:07

score 161 · Answer 10 · 2026-04-10 18:20:00

161

Views

Separable Function: Alternative Representation

Published on 10 Apr 2026 - 18:20

score 2.5k · Answer 11 · 2026-04-16 01:41:09

2.5k

Views

Refining my knowledge of the imaginary number

Published on 16 Apr 2026 - 1:41

score 69 · Answer 12 · 2026-04-11 06:54:36

69

Views

Using De-moivres to solve the following problem:

Published on 11 Apr 2026 - 6:54

score 276 · Answer 13 · 2026-04-11 10:31:18

276

Views

Proof of Cauchy-Riemann equations using differentials as quotients?

Published on 11 Apr 2026 - 10:31

score 1.8k · Answer 14 · 2026-04-13 06:49:41

1.8k

Views

Why is the argument of a complex number measured anticlockwise (from the positive real axis), rather than clockwise?

Published on 13 Apr 2026 - 6:49

score 48 · Answer 15 · 2026-04-16 14:07:49

48

Views

Show the convergence of the integral $F(t,x)=\int_{-\infty}^{+\infty}\exp[i\tau t-(i\tau)^{1/2}x - (i\tau)^\theta] \,d\tau$

Published on 16 Apr 2026 - 14:07

List Question

If $ w_1 $and $ w_2 $ are the roots of $w^2-2sw+t=0$, then $|w_1|=|w_2|\iff 0<s^2/t\le1$

The principle of Nested Rectangles

Derivation of the equations for non-uniform circular motion using complex analysis.

From what set of numbers can $a$ and $b$ be from in the complex number $a+bi\in\mathbb{C}$

Polar form of complex numbers.

History of the matrix representation of complex numbers

If $w_1=a_1+ib_1$ and $w_2=a_2+ib_2$ are complex numbers, then $|e^{w_1}-e^{w_2}|\geq e^{a_1}-e^{a_2}$

If $\{ z_k\}_{0\leq k < n}$ are the $n$-th roots of a unity with $z_0 = 1$ prove that $n = \prod (z_0-z_k)$

show an integral is bounded by a constant independent of a parameter

Separable Function: Alternative Representation

Refining my knowledge of the imaginary number

Using De-moivres to solve the following problem:

Proof of Cauchy-Riemann equations using differentials as quotients?

Why is the argument of a complex number measured anticlockwise (from the positive real axis), rather than clockwise?

Show the convergence of the integral $F(t,x)=\int_{-\infty}^{+\infty}\exp[i\tau t-(i\tau)^{1/2}x - (i\tau)^\theta] \,d\tau$

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