Linear independence of the numbers $\{1,\pi,{\pi}^2\}$
126199
Proof of $\pi$ not being a quadratic irrational number.
27932
Show that $\lim\limits_{n\to\infty}\frac{a_1+a_2+\dots+a_n}{n^2}$ exists and is independent of the choice of $a$
146664
The union of two linearly independent subsets
75639
Showing that $\sqrt[3]{2}\notin\Bbb Q(\alpha_1,...,\alpha_k)$ where $\alpha_i^2\in\Bbb Q\ \forall i$
5978
Prove that there exists only one prime number of the form $p^2−1$ where $p≥2$ is an integer
30720
If the dot product between two vectors is $0$, are the two linearly independent?
151520
About the parity of the product $(a_1-1)(a_2-2)\cdots(a_n-n)$
6793
A linearly independent set about approximate units
152503
Rational numbers as vectors in infinite dimensional space with the basis $( \log 2,\log 3, \log 5, \log 7, \dots, \log p, \dots) $
12698
Orthonormal basis for $\mathcal{L}^2([0,1])$
157213
Application of Luca's theorem
147410
ArcTan(2) a rational multiple of $\pi$?
86749
Prove that any set of vectors $S \subset \mathbb{R}^n$ containing the zero vector cannot be linearly independent
43282
Why do $n$ linearly independent vectors span $\mathbb{R}^{n}$?
45456
Do the digits of $\pi$ contain every possible finite-length digit sequence?
85311
Proving that $e^{\pi}-{\pi}^e\lt 1$ without using a calculator
130765
Linear dependence of $\left\{x^{n}\,\colon\, n\in\mathbb{N}\right\}$