Is it true that $n^r(X_n-X)\xrightarrow{d}Z$ implies $X_n\xrightarrow{d}X$?
138964
Convergence in distribution with given rate implies convergence in probability
94571
How can we prove that $N_G(H)=H$ implies $N_{f(G)}(f(H))=f(H)$
39217
If $d \mid n$ then $x^{q^d} - x \mid x^{q^n} - x$.
141799
Is $2^{|\mathbb{N}|} = |\mathbb{R}|$?
62239
For a polynomial $p(z)$, prove there exist $R>0$, such that if $|z|=R$, then $|p(z)|\geq |a_n|R^n/2$
29138
If $\{x_n\}$ satisfies that $x_{n+1} - x_n$ goes to $0$, is $\{x_n\}$ a Cauchy sequence?
151425
Does $\mathbb{R}^n$ have a real vector space structure with dimension other than $n$?
158569
Proving a particular subset of $R^n$ is closed
57191
Show that if $a>e$, the equation $az^n=e^z$ admit $n$ roots in the unit disk - Rouché theorem
147047
Does there exist a polynomial $p(x) \in \mathbb C[x]$ such that $p(x) \notin \mathbb R[x]$ and $p(x)p(-x)=p(x^2)$?
62732
Prove：$x^d-1 \mid x^n-1$ iff $d \mid n$.
54427
$\left|x_{n+1} - x_n\right| < C\left|x_n - x_{n-1}\right|$ prove this is Cauchy
149907
$T\circ T=0:V\rightarrow V \implies R(T) \subset N(T)$
29452
Divisor in $\mathbb{C}[X]$ $\implies$ divisor in $\mathbb{R}[X]$?
16602
Proving $M_n(I)\lhd M_n(R)$ and proofs about ideal rings.
48537
If $\forall x \in R, x^2-x \in Z(G)$, than $R$ is commutative
98206
Let $B\subset\mathbb{R}^d$ be closed and $z\in\mathbb{R}^d$, show that there is $b_0\in B$ such that $\delta(z,B)=\|z-b_0\|$.