Define $ f:\mathbb C\rightarrow \mathbb C$
136056
$ f:\mathbb C\rightarrow \mathbb C$ defined by $f(z)=0$, if $Re(z)=0$ or $Im(z)=0$ and $f(z)=z$, otherwise.
7723
Countable basis of function spaces
78698
Prove if $f$ has a right inverse function: $f\circ g=id_x$ $\iff$ $f$ is onto $Y$
56878
Proof that $a\mid b \land b\mid c \Rightarrow a\mid c $
30455
Show that any continuous $f:[0,1] \rightarrow [0,1]$ has a fixed point $\zeta$
44685
Inner product on $C(\mathbb R)$
147420
Equivalent definitions of convexity for $f\in\mathcal C^1(\mathbb R^n)$
110944
Proving that $AB-BA=cI$ for nontrivial $c \in \mathbb{C}$
123432
If $f: \mathbb{C} \to \mathbb{C}$ is continuous and analytic off $[-1,1]$ then is entire.
41557
Most general $A \subseteq \mathbb R$ to define derivative of $f: A \to \mathbb R$?
116630
Antiderivative $1/z$ on $\mathbb C$
18126
If $f \colon [a,b] \rightarrow \mathbb{R}$, then show that there exists $c \in [a,b]$ such that $\int_a^c f = \int_c^b f$
16413
Proving existence of surjective $f:\mathbb{N} \rightarrow A$ implies $A$ is at most countable.
139744
For a continuous function $f$ show $\exists c\in (0,1)$ s.t $f(c)=3c^2$
139612
Follow-up regarding right-continuous $f:\mathbb{R} \to\mathbb{R}$ is Borel measurable
149907
$T\circ T=0:V\rightarrow V \implies R(T) \subset N(T)$
55764
Algebraic closure of $\mathbb F_p$