User Rkb

4 votes

7 answers

1k views

If $G$ be a group of order $8$ and $x$ be a element of order $4$. Prove that $x^2 \in Z(G)$

group-theory normal-subgroups

asked May 8, 2019 at 12:34

3 votes

2 answers

1k views

Let $G$ be a non-abelian group of order $10$. Prove that G has a trivial center.

asked May 9, 2019 at 18:04

3 votes

3 answers

765 views

Prove that every group of order 15 is abelian? [duplicate]

group-theory finite-groups abelian-groups

asked May 17, 2019 at 9:17

3 votes

1 answer

239 views

How to plot the graph in polar coordinates of $r^2< \cos(2θ)$

complex-analysis graphing-functions polar-coordinates complex-geometry

asked Apr 30, 2021 at 6:41

3 votes

1 answer

46 views

$U$ be open , $a \in U$, does there exist a open set $A$ containing $a$, such that $\bar A \subset U$.

general-topology

asked Nov 14, 2021 at 13:02

2 votes

3 answers

62 views

Prove or disprove that there is a element $y$ in $G$ such that , $y^2 = x$

group-theory

asked Jun 30, 2019 at 12:34

2 votes

2 answers

260 views

A sufficient condition under which a continuous function on an unbounded open interval $I$ will be uniformly continuous on $I$

real-analysis continuity uniform-continuity

asked Dec 11, 2019 at 5:51

2 votes

2 answers

903 views

Volume of the region of sphere between two planes.

multivariable-calculus multiple-integral

asked Jul 6, 2020 at 12:55

1 vote

0 answers

26 views

Region in the XY plane over which the double integral is taken.

multivariable-calculus multiple-integral

asked Jan 8, 2021 at 12:32

1 vote

1 answer

59 views

The conjugate function $\overline{f(z)}$ has derivative $0$ w.r.t $z$.

complex-analysis

asked Mar 19, 2021 at 17:04

1 vote

0 answers

158 views

Probability and statistics introductory reference.

probability statistics reference-request book-recommendation

asked Jul 26, 2020 at 4:35

1 vote

1 answer

271 views

Stereographic projection of a disc.

complex-analysis stereographic-projections

asked Jul 28, 2020 at 14:07

1 vote

0 answers

59 views

What is stochastic independence and how it is different from physical independence?

probability conditional-probability

asked Sep 26, 2020 at 15:33

1 vote

1 answer

132 views

Dimension, graph of functions of several variable and it's visualization.

linear-algebra multivariable-calculus graphing-functions dimension-theory-algebra

asked Apr 15, 2020 at 16:24

1 vote

1 answer

40 views

Calculate the volume of the region using triple integration.

multivariable-calculus

asked Jun 27, 2020 at 14:19

1 vote

2 answers

428 views

Why vector space is named so?

linear-algebra vector-spaces topological-vector-spaces

asked Oct 10, 2019 at 6:30

1 vote

0 answers

117 views

To prove the $(\Bbb R , +)$ is isomorphic to $(\Bbb C , +)$ without using metric space? [duplicate]

group-theory group-isomorphism

asked May 15, 2019 at 10:45

1 vote

3 answers

16k views

Prove that the sequence (1+1/n)^n is convergent [duplicate]

sequences-and-series

asked Mar 27, 2019 at 17:05

1 vote

3 answers

70 views

Is this true $(ab)^q =(cd)^q \implies ab=cd?$ [closed]

group-theory finite-groups

asked Apr 4, 2019 at 16:09

1 vote

1 answer

62 views

If $A_1$ and $A_2$ are unitary matrices ,and if $CA_1C^{-1}=A_2$,then is $C$ is also unitary?

linear-algebra matrices unitary-matrices

asked Dec 16, 2021 at 13:09

0 votes

3 answers

113 views

Does knowing how $5280$ is a product of primes help you to factor $5281$ as a product of primes?

prime-numbers prime-factorization

asked Sep 30, 2020 at 13:14

0 votes

1 answer

41 views

$f$ is strictly increasing, $f (a) < a$, $ f(b) > b$. Number of solutions to $f(c) = c$. [closed]

real-analysis continuity monotone-functions

asked Nov 21, 2020 at 15:40

0 votes

0 answers

255 views

Prerequisites for complex analysis by lars v ahlfors

complex-analysis reference-request

asked Jul 8, 2020 at 7:00

0 votes

1 answer

60 views

What is the 3D region in this triple integral?

multivariable-calculus 3d spherical-coordinates

asked Jul 13, 2020 at 5:52

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24 Questions

If $G$ be a group of order $8$ and $x$ be a element of order $4$. Prove that $x^2 \in Z(G)$

Let $G$ be a non-abelian group of order $10$. Prove that G has a trivial center.

Prove that every group of order 15 is abelian? [duplicate]

How to plot the graph in polar coordinates of $r^2< \cos(2θ)$

$U$ be open , $a \in U$, does there exist a open set $A$ containing $a$, such that $\bar A \subset U$.

Prove or disprove that there is a element $y$ in $G$ such that , $y^2 = x$

A sufficient condition under which a continuous function on an unbounded open interval $I$ will be uniformly continuous on $I$

Volume of the region of sphere between two planes.

Region in the XY plane over which the double integral is taken.

The conjugate function $\overline{f(z)}$ has derivative $0$ w.r.t $z$.

Probability and statistics introductory reference.

Stereographic projection of a disc.

What is stochastic independence and how it is different from physical independence?

Dimension, graph of functions of several variable and it's visualization.

Calculate the volume of the region using triple integration.

Why vector space is named so?

To prove the $(\Bbb R , +)$ is isomorphic to $(\Bbb C , +)$ without using metric space? [duplicate]

Prove that the sequence (1+1/n)^n is convergent [duplicate]

Is this true $(ab)^q =(cd)^q \implies ab=cd?$ [closed]

If $A_1$ and $A_2$ are unitary matrices ,and if $CA_1C^{-1}=A_2$,then is $C$ is also unitary?

Does knowing how $5280$ is a product of primes help you to factor $5281$ as a product of primes?

$f$ is strictly increasing, $f (a) < a$, $ f(b) > b$. Number of solutions to $f(c) = c$. [closed]

Prerequisites for complex analysis by lars v ahlfors

What is the 3D region in this triple integral?