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Rick
  • Member for 5 years, 2 months
  • Last seen more than a month ago
  • India
2 votes
Accepted

Proving the given $\mathbb R^3/H$ $\cong$ $\mathbb R^2$ where $H$ = {$(y,0,0)|y \in \mathbb R$}

2 votes

If G/N is a cyclic group then, [G,G] =[G,N]

2 votes
Accepted

example of right / left ideals

2 votes

prove that two subgroups are isomorphic

2 votes
Accepted

Finite ring ideal

2 votes

$d(x,y) = | x^{2} - y^{2}|$ and $ d(x,y) = | x^{3} - y^{3}|$ are metrics on $\mathbb R$ or not$?$

1 vote
Accepted

Prove equivalence of two statements related the vector field $V$

1 vote
Accepted

Let $S$ be the subset of $M(\mathbb{R})$ consisting of matrices of the form:

1 vote
Accepted

Area of $x^3 -2x^2 + x - 2$ and $x$-axis

1 vote
Accepted

show that $S$ is an equivalence relation

1 vote
Accepted

I need a hint to prove that $\lim\limits_{n \to \infty} 2^{\frac{1}{n}} = 1$

1 vote

Show equivalence on $m^q =n$ for $\Bbb Z$

1 vote
Accepted

Left cosets of $H$ in $G$. Symmetric group of order $3$

1 vote
Accepted

How to check whether the set $S=\mathbb{R}-\{-1\}$ is a group under ‘$\star$’ defined as $a\star b =a+b+ab\ \forall\ a,b \in S$

1 vote
Accepted

Proof verification: If $a\in A$ is an upper bound for $A$, then $a=\sup A$

1 vote
Accepted

Relationship between domain,co-domain and range of composition functions

1 vote

Prove for any positive integer $n$, $(4n)!$ is divisible by $2^{3n}\cdot 3^n$

1 vote

Proof by Induction: $∀n ≥ 5, 2^n + 2n < n!$

1 vote

Let $G$ be a nilpotent group prove that for each $x \in Z_2(G)$ the map $\theta_x: G \rightarrow Z(G)$ defined by $\theta_x(g)=[g,x]$ is a hom

1 vote
Accepted

Evaluating limit of a function with integral involved.

0 votes

If $f_1, \ldots, f_n : \Bbb{R} \to \Bbb{R}$ are continuous then $f_n \circ f_{n-1} \circ \ldots \circ f_1$ is continuous. Proof by induction.

0 votes

Finding the equivalence classes of the relation R

0 votes

Check divisibility by using $\gcd$.

0 votes
Accepted

Simplifying trignometric expression

0 votes

Proving differentiability of |x| at non-zero point

0 votes

Parameter in function with square root in denominator

0 votes

If $y = \arctan((2x-1)/(1+x-x^2))$, then $dy/dx$ at $x=1$ is equal to?

0 votes
Accepted

How to prove $~a+aq+\cdots+aq^r = \dfrac{a(q^{r+1}-1)}{q-1}~$ via induction?

0 votes

what did i do wrong when trying to prove the derivative of ln(x)

0 votes

Help with trigonometry right angle triangles problem!