Problem understanding a question concerning the following function: $z=a+bi \mapsto f(z)=a+i(a+b)$
66867
Question regarding the function $z=a+bi \mapsto f(z)=a+i(a+b)$.
82229
Show if complex function $f(z)$ contains all real coefficients then $f(\bar z)$ = $\bar {f(z)}$
78118
Algebraically, why is $\mathbb{Z}[i]/(i + 1)$ isomorphic to $\mathbb{Z}_{2}$?
23464
How to find a explicit bijection for some $f:A\times B \rightarrow B \times A$
41226
Find $f:f(xf(x)+f(y))=f(x)^2+y$
84318
A problem with the functional $F(\chi) = \int_{\mathbb{R}}(\chi'^2+\chi^2(1-\chi)^2)dx$.
81921
If $f(x + y) = f(x) + f(y)$ showing that $f(cx) = cf(x)$ holds for rational $c$
114118
Define the image of the function $f :\Bbb Z \times \Bbb N →\Bbb R$ given by $f(a, b) = \frac{a−4}{7b}$?
139168
Prove that there is an unique $z$ s.t. $f(z) = z$ where $z$ is a complex number
89056
Intuitive understanding of ideal $I = (x+1,x^2+1)$ and the quotient $\Bbb Z[x]/I$
66772
$f(f(x)f(y))+f(x+y)=f(xy)$
44670
Find all functions $f: \mathbb Z \to \mathbb Z$ such that $f(x+y)=f(x)+f(y)$
158356
Need a proofreading why all the units are satisfied $a^2-2b^2 =\pm1$ for $\mathbf{Z}[\sqrt{2}]$
20047
At $z=0$ the function $f(z)=\exp({z\over 1-\cos z})$ has
83713
If $z,w\in \mathbb{C}^{\times}$, then $|z+w|=|z|+|w|$ iff $w=tz$ for some $t\gt 0$
25633
Is the function $f(z)=xy+iy$ analytic?
56805
Why isn't the inverse of the function $x\mapsto x+\sin(x)$ expressible in terms of "the functions one finds on a calculator"?