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New posts in complex-numbers
Does a complex number multiplication have a geometric representation and why? [duplicate]
complex-numbers
vectors
Find $\sum\limits_{k=0}^{n-1}\,\omega_n^{k^2\ell}$, where $\omega_n:=\exp\left(\frac{2\pi\text{i}}{n}\right)$.
matrices
complex-numbers
summation
eigenvalues-eigenvectors
roots-of-unity
Lagrange's identity in the complex form
complex-numbers
summation
Why should I use the binomial theorem to solve $(1+i)^8$?
complex-numbers
Find maximum value of$ |z_1 -z_2 |^2 + |z_2 -z_3 |^2 + |z_3 -z_1 |^2 $ if $|z_1 | = 2, |z_2 | = 3, |z_3 | = 4 $ [duplicate]
trigonometry
complex-numbers
If $|f|+|g|$ is constant on $D,$ prove that holomorphic functions $f,~g$ are constant on $D$.
complex-analysis
complex-numbers
holomorphic-functions
Why does $z^3=0$ have 3 complex roots and not simply just $0$?
calculus
complex-analysis
analysis
complex-numbers
How can one sketch a complex inequality with absolute values on both sides?
complex-numbers
What free tools can I use to plot complex functions on the complex plane?
complex-numbers
graphing-functions
wolfram-alpha
Find all $z$ such that $e^{2\pi i z}=1$
real-analysis
calculus
complex-analysis
complex-numbers
Proving an identity relating to the complex modulus: $z\bar{a}+\bar{z}a \leq 2|a||z|$
inequality
complex-numbers
absolute-value
Partial Fraction Decomposition with Complex Number $\frac{1}{z^2 - 2i}$.
complex-numbers
partial-fractions
What does the square root of minus $i$ equal?
complex-numbers
Does there exist an analytic function s.t. $f\left(\frac{1}{n}\right)=2^{-n}.$
complex-analysis
complex-numbers
Is this a sound demonstration of Euler's identity?
proof-verification
complex-numbers
polar-coordinates
Multiplying complex numbers in polar form?
complex-analysis
complex-numbers
Interpret to a complex plane!
complex-numbers
Maximum of $\frac{\sin z}{z}$ in the closed unit disc.
complex-analysis
analysis
complex-numbers
Weighted summation of symmetric Bernoulli RV. Characteristic function inequality
probability-theory
complex-numbers
expected-value
random-walk
characteristic-functions
Let $\omega=e^{i2\pi/2015}$, evaluate $\sum\limits_{k=1}^{2014}\frac{1}{1+\omega^k+\omega^{2k}}$
trigonometry
complex-numbers
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