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Ussesjskskns
  • Member for 2 years, 7 months
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  • The Cantor Set
9 votes
Accepted

Do Wronskians have the intermediate value property?

9 votes
Accepted

If $G/M$ and $G/N$ both are cyclic and $\gcd(|M|,|N|)=1$, then $G$ is abelian.

8 votes
Accepted

If A is a $2×2 $ matrix, does $A^2=3A$ imply $ A=0$ or $A=3I$?

8 votes
Accepted

How does every vector space have at least two subspaces?

7 votes
Accepted

Does there exist a bijective, continuous map from the irrationals onto the reals?

6 votes

If the Wronskian is zero at some point, does this imply linear dependency of functions?

6 votes

Do nonconstructive proofs of isomorphism exist?

6 votes

Are there non cyclic subgroup of the set of nonzero rationals under multiplication?

6 votes
Accepted

*Unique* extension of a uniformly continuous function to the closure of its domain

6 votes
Accepted

Finding eigenvalues and eigenvectors geometrically.

6 votes

If $G$ is a group and $|G|=6$ show that there exists a $a \in G$ such that $O(a)=6$

5 votes
Accepted

Prove that $1/x^2$ is not uniformly continuous on $(0,\infty)$ using $\varepsilon$-$\delta$ arguments

5 votes
Accepted

Continuous mapping from a nowhere dense set to dense set

5 votes
Accepted

Showing $\phi(n^2) = n\, \phi(n)$

5 votes
Accepted

Continuity of function - Proof verification

5 votes

If $X$ is inseparable, must $Y$ be inseparable?

5 votes

Let $a^2, b^2$ and $c^2$ be three distinct numbers in AP. If $ab + bc + ca = 1$ then $(b + c), (c + a)$ and $(a + b)$ are in which series

5 votes

$x^{10}+x^{11}+\dots+x^{20}$ divided by $x^3+x$. Remainder?

5 votes

Intuitive meaning of transitive group action.

5 votes
Accepted

If two finite Abelian groups posses equal number of elements of some particular order, then justify they are isomorphic.

5 votes

Finding $a$ and $b$ for the given polynomial

4 votes
Accepted

Find pair of product of four groups that has the same order, but not isomorphic.

4 votes

Evaluate the determinant of a $3×3$ matrix

4 votes
Accepted

Does Left Hand Derivate and Right Hand Derivative being defined guarantee continuity?

4 votes
Accepted

Prove that the group generated by sum of two subgroups is isomorphic with their cartesian product

4 votes

How to show that linear map is surjective?

4 votes
Accepted

What are the elements forming the subgroup $H = \langle a,b \rangle$ of $\Bbb C^\ast$ when $a = e^{2\pi i/5}$ and $b=e^{2\pi i/7}$? Is $H$ cyclic?

4 votes
Accepted

Graph Transformation

4 votes
Accepted

Solve the following differential equation $x^2\frac{d^2y}{dx^2}+4x\frac{dy}{dx}+2y=e^x.$

4 votes

The closure of a connected set in a topological space is connected

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