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CardioidAss22
  • Member for 5 years, 4 months
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11 votes

Nigerian Olympiad

10 votes

The (standard) definition of a group.

5 votes
Accepted

Proofcheck on alternative proof that every nonzero element of $Z_{n}$ is a unit or a divisor.

4 votes
Accepted

How to solve $x^{x^x}=(x^x)^x$?

4 votes
Accepted

What does it mean for a group to be a quotient of another and how does it imply isomorphism?

3 votes

Proof that any that any function $f$ that is continous on $[a,b]$ can be approximated using a polygonal function $g$.

3 votes

Show that the degree of any finite extension of $F$ is a power of $p$

3 votes

Is there a closed form for the sequences mentioned in the body of this question?

3 votes

Summation problem (associated with use of Stirling's Approx)

3 votes
Accepted

What are mathematically definable/ useful properties of ternary relations? ( How to define for example symmetry or transitivity?)

3 votes

Index of summation - integer?

3 votes
Accepted

Proving $\left(1+\frac{1}{m}\right)^m < \left(1+\frac{1}{n}\right)^n$

2 votes
Accepted

The number of solutions to $x^k = a$ over $G$ a finite cyclic group is $\gcd(k,|G|)$

2 votes
Accepted

Funky function-composed within itself umpteen thousand times

2 votes
Accepted

Inductive Proof of Group with Prime Decomposition is Isomorphic to Direct Product of Cyclic Groups

2 votes

How to find $\sum\limits_{k=-\infty}^\infty\frac{(-1)^k}{k+\frac{1}{2n}}$?

2 votes
Accepted

Is there a finite field extension with „less“ intermediate fields than Aut-Subgroups?

2 votes

If $G/H$ is a group under set multiplication, must $H \lhd G$?

2 votes

If $d \mid n$ then $x^{q^d} - x \mid x^{q^n} - x$.

2 votes
Accepted

Is there any relation between $Rank(A^2)$ and $Rank(A^3)$ if $Rank(A)=Rank(A^2)$?

2 votes
Accepted

Show that for every $g \in G$, $g$ lies in the subgroup generated by $P$ and $g^{−1}Pg$.

2 votes
Accepted

Axler Exercise 1.B.6

2 votes

How to solve the differential equation: yy''+2y'''=0

2 votes

How to find the Interval $[a,b]$ for a contraction mapping for $f(x)=x-\cos x$ where $a,b$ exists in $[0,1]$?

2 votes
Accepted

Solve $x^4y^{\prime\prime} = (y-xy^\prime)^3, y(1) = y^\prime(1) = 1$

2 votes
Accepted

Let $a_ns^n+\cdot+a_1s+a_0 = 0$ be an equation with roots with negative real part, then $a_i > 0 \forall i$

2 votes
Accepted

Cyclic extensions of degree $n$ which contain a primitive $n$-th root of unity

2 votes
Accepted

Given a field $K$ of characteristic $p>0$ and $f \in K[x]$ an irreducible polynomial, find the separable closure of $K$ in $L=K[x]/(f).$

2 votes
Accepted

What is the equation describing sin(x) rotated by an angle?

1 vote
Accepted

Proving a metric space to be separable if every infinite set in the metric space has a limit point in it.