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0
How can I show this field extension equality?
3
Factorize in R[x]
1
A confusion regarding the nature of elements in a field extension.
0
If $x \leq g(x) \leq x^2-x+1$ where $x \in [0,2]$, can we say that $g(x)$ is continuous at $x=1$?
0
How to calculate the pmf of $X_N$
1
A question about an inequality
1
question about summation?
1
How the inverse of this matrix be found?
2
is this function injective?
1
find the distribution
1
Is $[L : K] = 2$, $f \in K[x]$ irreducible, then $\operatorname{deg}(f) \le 2$ valid?
8
If $[L : K ] = n$, then for every irreducible polynomial $f$ is $\operatorname{deg}(f) \le n$.
3
Suppose $U$ and $V$ are finite dimensional spaces. Prove that $U$ and $V$ are isometric if and only if $\dim V=\dim U$
1
Matrix being not diagonalizable in F2
2
Proof: $\vec x,\vec y \perp \vec z \Rightarrow \vec x || \vec y$
3
How to prove that $\int_\gamma ze^{z^2} dz = 0$ for any closed curve $\gamma$
1
Proving that $\gcd(5^{98} + 3, \; 5^{99} + 1) = 14$
2
finding the number of subsets and functions of $S_n$
2
If $P$ is real orthogonal matrix with $\det P = -1$, prove that $-1$ is an eigenvalue of $P$.
3
$E/\mathbb F_q$ extension field. Show $[\mathbb F_q(\alpha) : \mathbb F_q]$ is smallest $n$ satisfying property.
0
Let $F_X(x):=P(X\leq x)$ a distribution function of a random variable $X$. Prove that $F_X$ is right-continuous.
0
How many ways can you fill a list with $n$ slots with $m$ letters, $m<n$, making sure to use each one once?
1
A question about Exponents
1
Does the Rational Root Theorem ever guarantee that a polynomial is irreducible?
0
Irreducible Polynomial in Field of 2 Elements?
0
Prove that $a^{p-1} \equiv 1$ $\ $(mod $p$)
3
Find the distribution of X, EX, and VarX.
0
No roots over $F_2[X]/(X^3+X+1)$
1
Reducibility over a certain field.
2
Extensions of $\mathbb{Q}\left(\sqrt{2}\right)\rightarrow\mathbb{Q}\left(\sqrt{2}\right),\ \sqrt{2}\mapsto -\sqrt{2}.$
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