Question

Number of roots of an equation over complex numbers

score 44 · Answer 1 · 2026-04-13 12:45:48

44

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Number of roots of an equation over complex numbers

Published on 13 Apr 2026 - 12:45

score 301 · Answer 2 · 2026-04-11 02:19:39

301

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cos(2i) into exponential form

Published on 11 Apr 2026 - 2:19

score 78 · Answer 3 · 2026-04-17 01:18:48

78

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Prove $ \frac1{\sqrt{(z+a)(z+b)}}=\frac1\pi \int_a^b \frac1{\sqrt{(t-a)(b-t)}}\frac1{t+z}dt $

Published on 17 Apr 2026 - 1:18

score 192 · Answer 4 · 2026-04-10 12:56:19

192

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how many complex solutions does this equation have?

Published on 10 Apr 2026 - 12:56

score 39 · Answer 5 · 2026-04-11 19:39:01

39

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get the argument for this complex number

Published on 11 Apr 2026 - 19:39

score 76 · Answer 6 · 2026-04-17 01:18:35

76

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Prove $f(z)=\frac{z}{z^4+1}$ is continuous within the unit circle in the complex plane centred at the origin

Published on 17 Apr 2026 - 1:18

score 749 · Answer 7 · 2026-04-30 08:25:23

749

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Geometrical representation of complex numbers.

Published on 30 Apr 2026 - 8:25

score 404 · Answer 8 · 2026-04-11 04:34:26

404

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Is there another type of number more advanced than complex numbers?

Published on 11 Apr 2026 - 4:34

score 72 · Answer 9 · 2026-04-16 18:59:10

72

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Find a set of polynomials whose common zero set is $\{(3 + 2i, -i), (0, 1 - 4i)\}$ in $\mathbb{C}^2.$

Published on 16 Apr 2026 - 18:59

score 64 · Answer 10 · 2026-04-16 07:31:41

64

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If $w=\cos\frac{2\pi}5+i\sin\frac{2\pi}5$ and $z=w+\frac1w$, show that $z^2+z-1=0$

Published on 16 Apr 2026 - 7:31

score 131 · Answer 11 · 2026-04-17 15:03:05

131

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What is the smallest superdeficient number of the form n = p^2*q where p & q are different primes?

Published on 17 Apr 2026 - 15:03

score 62 · Answer 12 · 2026-04-13 23:11:39

62

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Are the roots of this polynomial in the unit circle?

Published on 13 Apr 2026 - 23:11

score 64 · Answer 13 · 2026-04-10 09:23:30

64

Views

optimizing the expression

Published on 10 Apr 2026 - 9:23

score 150 · Answer 14 · 2026-04-14 20:30:57

150

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Let $E(n,z)=|z+1|+|z^{2n}+1|$. Find $\displaystyle\min_{z\in\mathbb{C}} E(n,z)$.

Published on 14 Apr 2026 - 20:30

score 41 · Answer 15 · 2026-04-15 23:35:33

41

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Can you multiply imaginary unit i and a basis vector together?

Published on 15 Apr 2026 - 23:35

List Question

Number of roots of an equation over complex numbers

cos(2i) into exponential form

Prove $ \frac1{\sqrt{(z+a)(z+b)}}=\frac1\pi \int_a^b \frac1{\sqrt{(t-a)(b-t)}}\frac1{t+z}dt $

how many complex solutions does this equation have?

get the argument for this complex number

Prove $f(z)=\frac{z}{z^4+1}$ is continuous within the unit circle in the complex plane centred at the origin

Geometrical representation of complex numbers.

Is there another type of number more advanced than complex numbers?

Find a set of polynomials whose common zero set is $\{(3 + 2i, -i), (0, 1 - 4i)\}$ in $\mathbb{C}^2.$

If $w=\cos\frac{2\pi}5+i\sin\frac{2\pi}5$ and $z=w+\frac1w$, show that $z^2+z-1=0$

What is the smallest superdeficient number of the form n = p^2*q where p & q are different primes?

Are the roots of this polynomial in the unit circle?

optimizing the expression

Let $E(n,z)=|z+1|+|z^{2n}+1|$. Find $\displaystyle\min_{z\in\mathbb{C}} E(n,z)$.

Can you multiply imaginary unit i and a basis vector together?

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