See what we can offer to your school
"SimpleStudy just makes sense...”
Get the best plan for your school
10 cards from this deck
nnn complex numbers satisfying zn=1z^n = 1zn=1
z = e^{ rac{2kpi i}{n}} where k=0,1,...,n−1k = 0, 1, ..., n-1k=0,1,...,n−1
1 (they lie on the unit circle)
2πn\frac{2\pi}{n}n2π radians
0 (i.e., 1+ω+ω2+...+ωn−1=01 + \omega + \omega^2 + ... + \omega^{n-1} = 01+ω+ω2+...+ωn−1=0)
nnn solutions
Can be quoted without proof
r1ne(θ+2kπ)inr^{\frac{1}{n}}e^{\frac{(\theta + 2k\pi)i}{n}}rn1en(θ+2kπ)i, k=0,...,n−1k = 0, ..., n-1k=0,...,n−1
3 (one real, two complex)
z=1z = 1z=1
Select your subjects, and get access to A+ resources today.