Lee Dae Seok
Reputation
Next privilege 250 Rep.
4
Impact
~2k people reached

• 0 posts edited

 4 Consider a function $f(x) = x^4+x^3+x^2+x+1$, where x is an integer, $x\gt 1$. What will be the remainder when $f(x^5)$ is divided by $f(x)$? 3 Prove $n^\frac{1+2}{\sqrt{\log n}} = O(n \log n)$ 2 Cyclic group of order $4$ and Klein four-group are not isomorphic.

### Reputation (161)

 +40 Consider a function $f(x) = x^4+x^3+x^2+x+1$, where x is an integer, $x\gt 1$. What will be the remainder when $f(x^5)$ is divided by $f(x)$? +25 $G$ is a finite group and $G_1$,$G_2$ are subgroup that $G_1 \cap G_2=\{1\}$, then $|G_1|.|G_2| \big| |G|$? +45 Prove $n^\frac{1+2}{\sqrt{\log n}} = O(n \log n)$ +5 Is there any manifold that is not a subspace of a finite dimensional euclidean space?

### Questions (3)

 5 $G$ is a finite group and $G_1$,$G_2$ are subgroup that $G_1 \cap G_2=\{1\}$, then $|G_1|.|G_2| \big| |G|$? 3 Is there any manifold that is not a subspace of a finite dimensional euclidean space? 3 Is this a transcendental number?

### Tags (8)

 4 algebra-precalculus 0 transcendental-numbers 3 calculus 0 finite-groups 3 asymptotics 0 group-theory 2 abstract-algebra 0 manifolds

### Account (1)

 Mathematics 161 rep 4

 Supporter Teacher Editor Student

### Active bounties (0)

This user has no active bounties

all time   by type
2 up 0 question