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Mathematics
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19
What is a Hamel basis?
Oct 29, 2021
17
Doubt about the statement of the Fundamental Theorem of Algebra.
Oct 8, 2021
12
Can you cover $\mathbb R$ with countably many smol sets?
Oct 20, 2023
12
Example of a PID in which $SL_n \neq E_n$
Apr 25
11
why universe is a set?
Sep 22, 2023
10
Is the set of all algorithms computable?
Dec 19, 2023
10
Consider complex number $z$ such that $|z^2 + z + 1| = 4.$ Find the greatest value of the imaginary part of $z$.
Jun 24
9
Prove $\det\begin{bmatrix}A & B\\ B & A\end{bmatrix} = \det(A-B)\det(A+B)$, even when $A$ and $B$ are not commutative.
Oct 23, 2021
9
Is $d(A, B) =|(A\Delta B)|$ a metric on all finite subsests?
Oct 8, 2021
8
Let $G$ be a group and let prime $p\mid \vert G\vert$. Suppose further that $\vert G\vert < p^2 $. Show that $G$ has a normal subgroup of order $p$.
Jun 7, 2022