query: Complex analysis (sketch the curve in $z$-plane and its image on $w=z^2$-plane)
positive_passages.docid: 24128
positive_passages.text: How do i show that $w=z^2$ maps $|z-1|\leq 1$ onto $R=2(1+\cos \theta)$?
negative_passages.docid: 60809
negative_passages.text: Plotting complex numbers as an Argand Diagram
negative_passages.docid: 23801
negative_passages.text: A reflection question about a complex function
negative_passages.docid: 17508
negative_passages.text: Knowing $|z|$ and $|w|$ (and possibly $z\overline{w}$), what are $|z+w|^2$, $|zw|^2$, $|z-w|^2$, $|z/w|^2$?
negative_passages.docid: 52316
negative_passages.text: Geodesics and Curves on a Plane
negative_passages.docid: 42988
negative_passages.text: Complex polynomial and the unit circle
negative_passages.docid: 39380
negative_passages.text: How do I visualize $\exp(z)$ as a complex mapping?
negative_passages.docid: 9438
negative_passages.text: Plotting in the Complex Plane
negative_passages.docid: 88206
negative_passages.text: Image of a line in $\mathbb{P}^2$ under Veronese embedding
negative_passages.docid: 43177
negative_passages.text: How do I rigorously show $f(z)$ is analytic if and only if $\overline{f(\bar{z})}$ is?
negative_passages.docid: 66796
negative_passages.text: Describe the set of points on the complex plane...
negative_passages.docid: 102175
negative_passages.text: $Z=XY$, $E_Z[Z]$, $E_{X,Y}[XY]$
negative_passages.docid: 96547
negative_passages.text: Is $|z|^2$ complex differentiable?
negative_passages.docid: 77597
negative_passages.text: Total length of a complex curve
negative_passages.docid: 154534
negative_passages.text: consider the following subsets of complex plane
negative_passages.docid: 104175
negative_passages.text: Simple way of finding the locus of $z$?
negative_passages.docid: 122181
negative_passages.text: Application of Complex Numbers