Question

Why does calculating $\exp z$ using $\ln z$ via newton-raphson method fail to converge?

score 261 · Answer 1 · 2026-03-25 18:47:18

261

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Why does calculating $\exp z$ using $\ln z$ via newton-raphson method fail to converge?

Published on 25 Mar 2026 - 18:47

score 56 · Answer 2 · 2018-12-02 20:24:47

56

Views

Is the principal root defined at the right half-plane continuous at $0$?

Published on 02 Dec 2018 - 20:24

score 198 · Answer 3 · 2018-12-02 20:45:38

198

Views

$\mathbb Z[\frac{2+i}{5}]\cap \mathbb Q =\mathbb Z$

Published on 02 Dec 2018 - 20:45

score 59 · Answer 4 · 2018-12-03 00:23:10

59

Views

How should I determine all numbers $z\in \mathbb C$ such that $z^3 = 4\overline z$?

Published on 03 Dec 2018 - 0:23

score 1.9k · Answer 5 · 2018-12-03 04:26:27

1.9k

Views

Is the determinant of a complex matrix the complex conjugate of the determinant of it's complex conjugate matrix?

Published on 03 Dec 2018 - 4:26

score 5.7k · Answer 6 · 2018-12-03 17:47:28

5.7k

Views

Finding magnitude of a complex number

Published on 03 Dec 2018 - 17:47

score 53 · Answer 7 · 2018-12-03 19:38:44

53

Views

Reverting multiple rotations of an (irrational) angle

Published on 03 Dec 2018 - 19:38

score 1.3k · Answer 8 · 2018-12-03 22:47:35

1.3k

Views

When is the conjugate of a function equal to the function of the conjugate of the argument ($f(x^) = f^(x)$)

Published on 03 Dec 2018 - 22:47

score 583 · Answer 9 · 2026-03-30 17:15:43

583

Views

Congruence proof. Show $a$ is odd, $b$ is even, and $ a \equiv 1$ mod $4 $ under certain conditions.

Published on 30 Mar 2026 - 17:15

score 39 · Answer 10 · 2018-12-04 12:14:30

39

Views

irrational root of a number number

Published on 04 Dec 2018 - 12:14

score 252 · Answer 11 · 2018-12-05 02:51:30

252

Views

Writing linear combination of exponentials as cosine

Published on 05 Dec 2018 - 2:51

score 20 · Answer 12 · 2026-03-29 02:45:22

20

Views

Proving inequality relation between two complex numbers and a positive real parameter.

Published on 29 Mar 2026 - 2:45

score 42 · Answer 13 · 2018-12-06 05:35:54

42

Views

How does this expression in complex variable hold?

Published on 06 Dec 2018 - 5:35

score 60 · Answer 14 · 2026-03-27 05:41:42

60

Views

Complex number identity question

Published on 27 Mar 2026 - 5:41

score 99 · Answer 15 · 2018-12-06 17:06:13

99

Views

$|e^{z_1}-e^{z_2}|$ is less than $|z_1-z_2|$ if the real parts are non-positive

Published on 06 Dec 2018 - 17:06

List Question

Why does calculating $\exp z$ using $\ln z$ via newton-raphson method fail to converge?

Is the principal root defined at the right half-plane continuous at $0$?

$\mathbb Z[\frac{2+i}{5}]\cap \mathbb Q =\mathbb Z$

How should I determine all numbers $z\in \mathbb C$ such that $z^3 = 4\overline z$?

Is the determinant of a complex matrix the complex conjugate of the determinant of it's complex conjugate matrix?

Finding magnitude of a complex number

Reverting multiple rotations of an (irrational) angle

When is the conjugate of a function equal to the function of the conjugate of the argument ($f(x^) = f^(x)$)

Congruence proof. Show $a$ is odd, $b$ is even, and $ a \equiv 1$ mod $4 $ under certain conditions.

irrational root of a number number

Writing linear combination of exponentials as cosine

Proving inequality relation between two complex numbers and a positive real parameter.

How does this expression in complex variable hold?

Complex number identity question

$|e^{z_1}-e^{z_2}|$ is less than $|z_1-z_2|$ if the real parts are non-positive

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