User hrkrshnn

23 votes

6 answers

1k views

Evaluating $\lim \limits_{n\to \infty}\,\,\, n\!\! \int\limits_{0}^{\pi/2}\!\! \left(1-\sqrt [n]{\sin x} \right)\,\mathrm dx$

asked Apr 11, 2013 at 14:56

11 votes

3 answers

955 views

Evaluate $\int _{ 0 }^{ 1 }{ \left( { x }^{ 5 }+{ x }^{ 4 }+{ x }^{ 2 } \right) \sqrt { 4{ x }^{ 3 }+5{ x }^{ 2 }+10 } \; dx } $

asked Apr 11, 2013 at 15:53

6 votes

1 answer

1k views

A circular proof in Rudin that $\mathbb{R}$ is a field.

asked May 24, 2014 at 15:39

5 votes

2 answers

5k views

Definition of logarithm in complex domain

asked Apr 22, 2013 at 11:24

5 votes

1 answer

614 views

Trisecting a paper using hand and without using a ruler or compass [duplicate]

asked May 3, 2013 at 8:46

5 votes

4 answers

7k views

What is the meaning of "independent events " and how can we logically conclude independence of two events in probability?

asked May 13, 2013 at 14:25

5 votes

2 answers

14k views

Funny graph of $x!$ by a graphing program

asked Apr 13, 2013 at 18:03

5 votes

4 answers

781 views

Counterexample for $(p\rightarrow q) \longleftrightarrow (!q \rightarrow\mathord !p) $

asked Apr 8, 2013 at 10:13

4 votes

3 answers

1k views

A general proof of $f\left(\bar{z}\right)=\overline{f\left(z\right)}$

asked Apr 4, 2013 at 15:59

4 votes

3 answers

979 views

Definition for multiplication [duplicate]

asked Apr 4, 2013 at 16:13

4 votes

1 answer

133 views

Bounds on integer solutions to $w^2 - x^2 - y^2 - z^2 = m$

asked Jul 29, 2019 at 16:35

3 votes

0 answers

145 views

References on Rogers-Shephard inequality

asked Jun 28, 2016 at 21:26

2 votes

2 answers

6k views

Probability that the bag contains all balls white given that two balls are white

asked Mar 24, 2013 at 17:15

1 vote

1 answer

64 views

It is not possible to introduce multiplication in $v_n$(For $n>2$) so as to satisfy all field properties

asked Apr 21, 2013 at 14:18

1 vote

0 answers

38 views

Computing shortest decomposition of a permutation as product of 2-cycles.

asked Jul 26, 2021 at 16:31

0 votes

0 answers

82 views

Isometry group of a quadratic form of signature $(1, 3)$

asked Jun 11, 2019 at 12:09

0 votes

2 answers

108 views

Continuity at $\infty$

asked Jun 23, 2013 at 9:39

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17 Questions

Evaluating $\lim \limits_{n\to \infty}\,\,\, n\!\! \int\limits_{0}^{\pi/2}\!\! \left(1-\sqrt [n]{\sin x} \right)\,\mathrm dx$

Evaluate $\int _{ 0 }^{ 1 }{ \left( { x }^{ 5 }+{ x }^{ 4 }+{ x }^{ 2 } \right) \sqrt { 4{ x }^{ 3 }+5{ x }^{ 2 }+10 } \; dx } $

A circular proof in Rudin that $\mathbb{R}$ is a field.

Definition of logarithm in complex domain

Trisecting a paper using hand and without using a ruler or compass [duplicate]

What is the meaning of "independent events " and how can we logically conclude independence of two events in probability?

Funny graph of $x!$ by a graphing program

Counterexample for $(p\rightarrow q) \longleftrightarrow (!q \rightarrow\mathord !p) $

A general proof of $f\left(\bar{z}\right)=\overline{f\left(z\right)}$

Definition for multiplication [duplicate]

Bounds on integer solutions to $w^2 - x^2 - y^2 - z^2 = m$

References on Rogers-Shephard inequality

Probability that the bag contains all balls white given that two balls are white

It is not possible to introduce multiplication in $v_n$(For $n>2$) so as to satisfy all field properties

Computing shortest decomposition of a permutation as product of 2-cycles.

Isometry group of a quadratic form of signature $(1, 3)$

Continuity at $\infty$