REVISITED $^2$: Does a solution in $\mathbb{R}^n$ imply a solution in $\mathbb{Q}^n$?
22192
System of linear equations having a real solution has also a rational solution.
115583
prove that $a^2(p-q)(p-r)+b^2(q-p)(q-r)+c^2(r-p)(r-q)\ge 0$
114906
For $n \in \mathbb{N}$ and $W \leq \mathbb{F}^n$, there exists a homogeneous system of linear equations whose solution space is $W$
39800
Existence of solution for a linear system mod 2
40343
Solutions of $p!q! = r!$
102299
Bijection between $\mathbb{R}^n$ and $\mathbb{R}^m$
73927
Is $\mathbb{R}$ a subset of $\mathbb{R}^2$?
30953
Is $\sum_{k=1}^{n} \sin(k^2)$ bounded by a constant $M$?
70576
Elementary proof that $\mathbb{R}^n$ is not homeomorphic to $\mathbb{R}^m$
93177
in which subset of $R^2$ the series is convergent?
88790
Positive harmonic function on $\mathbb{R}^n$ is a constant?
35305
Why is $\mathbb{R}^2$ not a subset and /or a subspace of $\mathbb{R}^3$?
96458
Does $X_n \overset{L^2}{\rightarrow} X$ imply $X_n^2 \overset{L^1}{\rightarrow} X^2$?
41872
Show that $\mathbb{R}^2$ is not homeomorphic to $\mathbb{R}^2 \setminus\{(0,0)\}$
723
Is there a constructive way to exhibit a basis for $\mathbb{R}^\mathbb{N}$?
84148
Why is $\mathbb{R}^2$ not a subspace of $\mathbb{R}^3$?
778
For $x∈\mathbb{R}^n$ , let $B(x,r)$ denote the closed ball in $\mathbb{R}^n$(with Euclidean norm) of radius $r$ centered at $x$