User Sourav Ghosh

9 votes

Accepted

Do Wronskians have the intermediate value property?

answered Jul 12, 2022 at 11:26

9 votes

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

answered Aug 9, 2022 at 20:30

8 votes

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

answered Jul 26, 2022 at 6:50

8 votes

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How does every vector space have at least two subspaces?

answered May 6 at 6:36

6 votes

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

answered Jul 15, 2022 at 2:28

6 votes

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Finding eigenvalues and eigenvectors geometrically.

answered Jul 15, 2022 at 16:05

6 votes

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

answered May 6 at 6:54

6 votes

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

answered Apr 28, 2022 at 15:57

5 votes

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Continuity of function - Proof verification

answered Dec 13, 2021 at 18:10

5 votes

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

answered Jul 12, 2022 at 10:39

5 votes

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

answered Jul 23, 2022 at 5:33

5 votes

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

answered Jul 27, 2022 at 10:12

5 votes

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

answered Jul 28, 2022 at 17:21

5 votes

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

answered Jul 30, 2022 at 12:15

5 votes

Intuitive meaning of transitive group action.

answered Aug 5, 2022 at 8:22

5 votes

Do nonconstructive proofs of isomorphism exist?

answered Aug 26, 2022 at 14:05

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

answered Aug 26, 2022 at 12:36

5 votes

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

answered Mar 30 at 15:24

5 votes

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Continuous mapping from a nowhere dense set to dense set

answered Jul 1, 2022 at 17:46

5 votes

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

answered Jul 4, 2022 at 15:21

4 votes

Find all continuous function from $(\mathbb{R},d_{2})$ to $(\mathbb{R},d_{disc})$ and all continuous function other way around

answered Jan 1, 2022 at 20:13

4 votes

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

answered Aug 25, 2022 at 18:44

4 votes

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

answered Jul 22, 2022 at 6:29

4 votes

Evaluate the determinant of a $3×3$ matrix

answered Jul 20, 2022 at 18:02

4 votes

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Measurability of indicator function

answered Jul 10, 2022 at 12:07

4 votes

How to compute the area of the given region (NBHM $2022$)?

answered Mar 19 at 13:54

4 votes

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

answered Aug 31, 2022 at 18:14

4 votes

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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?

answered Aug 15, 2022 at 19:42

4 votes

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Graph Transformation

answered Aug 20, 2022 at 9:06

4 votes

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Definition of Completion

answered Jul 2, 2022 at 12:03

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500 Answers

Do Wronskians have the intermediate value property?

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

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

How does every vector space have at least two subspaces?

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

Finding eigenvalues and eigenvectors geometrically.

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

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

Continuity of function - Proof verification

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

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

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

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

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

Intuitive meaning of transitive group action.

Do nonconstructive proofs of isomorphism exist?

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

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

Continuous mapping from a nowhere dense set to dense set

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

Find all continuous function from $(\mathbb{R},d_{2})$ to $(\mathbb{R},d_{disc})$ and all continuous function other way around

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

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

Evaluate the determinant of a $3×3$ matrix

Measurability of indicator function

How to compute the area of the given region (NBHM $2022$)?

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

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?

Graph Transformation

Definition of Completion