List questions from complex-numbers

Published on 07 Jul 2018 - 15:51

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Finding orthogonal vector with complex coefficients

Published on 07 Jul 2018 - 20:14

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Real and imaginary parts for $F(\varphi,m)$ with complex argument

Published on 25 Mar 2026 - 1:16

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Why isn't the maximum argument of this loci pi/2?

Published on 08 Jul 2018 - 12:29

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Let $|z_1| = |z_2| = 1$. Prove that $\frac{z_1+z_2}{1-z_1z_2}$ is an imaginary number

Published on 08 Jul 2018 - 14:19

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Analogue of complex infinity for quaternions

Published on 25 Mar 2026 - 4:38

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Value for sum of inverse of Gaussian integers

Published on 25 Mar 2026 - 4:40

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Show that $|v| + |v + w| + |w + z| + |2 + z|\ge 2$ for complex numbers $v,w,$ and $z$

Published on 09 Jul 2018 - 0:37

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In what region is $|z^2 + 9|<1$ for complex $z$?

Published on 09 Jul 2018 - 4:19

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proof of $\mathrm{arg}(1+\frac{z}{n})=\mathrm{Im}(\frac{z}{n})+o(\frac{1}{n})$

Published on 25 Mar 2026 - 22:05

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$\tan(z)=i$, no solution

Published on 09 Jul 2018 - 19:57

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Finding the upper bound for the following function. (Complex numbers involved)

Published on 09 Jul 2018 - 20:43

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Unitary $2 \times 2$ matrix - Question

Published on 09 Jul 2018 - 22:57

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Complex Partial Fraction Decomposition

Published on 25 Mar 2026 - 12:47

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prove that every eigenvalue $\lambda$ of $A$ must satisfy $\lambda=-i\bar \lambda$

Published on 25 Mar 2026 - 9:45

List Question

Functions satisfying $f(xy)=f(x)+f(y)$

Finding orthogonal vector with complex coefficients

Real and imaginary parts for $F(\varphi,m)$ with complex argument

Why isn't the maximum argument of this loci pi/2?

Let $|z_1| = |z_2| = 1$. Prove that $\frac{z_1+z_2}{1-z_1z_2}$ is an imaginary number

Analogue of complex infinity for quaternions

Value for sum of inverse of Gaussian integers

Show that $|v| + |v + w| + |w + z| + |2 + z|\ge 2$ for complex numbers $v,w,$ and $z$

In what region is $|z^2 + 9|<1$ for complex $z$?

proof of $\mathrm{arg}(1+\frac{z}{n})=\mathrm{Im}(\frac{z}{n})+o(\frac{1}{n})$

$\tan(z)=i$, no solution

Finding the upper bound for the following function. (Complex numbers involved)

Unitary $2 \times 2$ matrix - Question

Complex Partial Fraction Decomposition

prove that every eigenvalue $\lambda$ of $A$ must satisfy $\lambda=-i\bar \lambda$

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