User Soham Chowdhury

22 votes

7 answers

6k views

Guides/tutorials to learn abstract algebra?

asked May 15, 2013 at 11:51

8 votes

2 answers

400 views

Is this a new expression for $e$?

asked Mar 4, 2013 at 9:54

8 votes

5 answers

3k views

Why is $\sqrt{2\sqrt{2\sqrt{2\cdots}}} = 2$? [duplicate]

asked Jun 28, 2013 at 12:59

8 votes

1 answer

1k views

Elegant applications of advanced techniques to "olympiad" problems

asked Jul 13, 2015 at 12:41

7 votes

1 answer

260 views

Random Wolfram|Alpha identity related to $\sum_{k = 1}^{\infty}{\tan^{-1}}{\frac{1}{k^2}}$

asked Oct 6, 2014 at 15:07

5 votes

1 answer

221 views

Unfamiliar notation in an AoPS paper

asked Oct 12, 2014 at 6:24

5 votes

1 answer

102 views

Can this type of limit even be evaluated?

asked Sep 26, 2013 at 15:09

4 votes

1 answer

3k views

What do I need to know to prove this? $ \frac{2\sqrt{2}}{9801} \sum_{k=0}^\infty \frac{ (4k)! (1103+26390k) }{ (k!)^4 396^{4k} } = \frac1{\pi} $ [duplicate]

asked Sep 27, 2013 at 19:26

4 votes

2 answers

367 views

Evaluate $\int^{441}_0\frac{\pi\sin \pi \sqrt x}{\sqrt x} dx$

asked May 23, 2013 at 2:43

4 votes

1 answer

268 views

Can one construct any n-gon if angle trisection is also allowed?

asked Aug 28, 2015 at 4:35

3 votes

1 answer

134 views

My answer to this combi problem doesn't match the answer in the book (Problem-Solving Strategies)

asked May 9, 2015 at 9:26

3 votes

1 answer

75 views

A question about classifying conics, from Garrity's book

asked Dec 20, 2015 at 15:37

3 votes

1 answer

948 views

Why is this proof that the distance between two of any five points in a square $\geq \frac{\sqrt{2}}{2}$ wrong?

asked Sep 7, 2014 at 5:46

3 votes

4 answers

318 views

How to derive the equation for x in a quadratic equation? [duplicate]

asked Sep 27, 2012 at 2:36

3 votes

2 answers

102 views

Question regarding what appears to be an identity

asked Sep 27, 2012 at 2:53

2 votes

1 answer

153 views

What number of iterations must I take to reach zero in this way?

asked May 4, 2013 at 12:37

2 votes

0 answers

96 views

Why write $\mathrm dx, \mathrm dt$ etc. at the beginning of an integral? [duplicate]

asked Jul 27, 2013 at 2:30

2 votes

1 answer

106 views

What are the properties of these two functions?

asked Aug 13, 2013 at 15:58

2 votes

1 answer

86 views

Prove that number of $(A, B, C)$ with $A ∩ B ∩ C = \emptyset$, $A ∩ B \ne \emptyset$, $B ∩ C \ne \emptyset$ is $7^n − 2\cdot6^n + 5^n$

asked Nov 5, 2013 at 18:41

2 votes

0 answers

148 views

Champernowne constant - summation and behavior of terms in continued fraction expansion

asked Mar 8, 2014 at 6:49

2 votes

3 answers

877 views

Limit of ratio of successive n-nacci numbers?

asked Mar 23, 2014 at 4:35

2 votes

2 answers

241 views

Number of length-n paths in a graph with a fixed start vertex

asked Nov 28, 2014 at 7:02

2 votes

2 answers

878 views

Stupidly simple geometry problem I can't do

asked Oct 12, 2014 at 3:34

2 votes

0 answers

654 views

Do principal divisors always have degree 0? (from Garrity)

asked Mar 24, 2016 at 3:39

2 votes

3 answers

2k views

Is the powerset of the reals any "more uncountable" (in some sense) than the reals are?

asked May 28, 2015 at 4:09

2 votes

1 answer

160 views

Any deeper "duality" between non-zero-divisors and units of a ring?

asked Jul 10, 2015 at 11:07

2 votes

1 answer

40 views

Confusion regarding a (possibly) informal use of "continuously" in Artin's section about $SO_3$

asked Nov 6, 2015 at 16:15

2 votes

0 answers

217 views

Geometrically finding the axis of the composition of two rotations

asked Nov 8, 2015 at 5:07

1 vote

1 answer

288 views

Size of fibers versus degrees of residue fields in a morphism of affine schemes

asked Aug 27, 2016 at 13:36

1 vote

1 answer

210 views

Predicting the outcomes of a subset of chess games correctly

asked Oct 13, 2014 at 15:33

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47 Questions

Guides/tutorials to learn abstract algebra?

Is this a new expression for $e$?

Why is $\sqrt{2\sqrt{2\sqrt{2\cdots}}} = 2$? [duplicate]

Elegant applications of advanced techniques to "olympiad" problems

Random Wolfram|Alpha identity related to $\sum_{k = 1}^{\infty}{\tan^{-1}}{\frac{1}{k^2}}$

Unfamiliar notation in an AoPS paper

Can this type of limit even be evaluated?

What do I need to know to prove this? $ \frac{2\sqrt{2}}{9801} \sum_{k=0}^\infty \frac{ (4k)! (1103+26390k) }{ (k!)^4 396^{4k} } = \frac1{\pi} $ [duplicate]

Evaluate $\int^{441}_0\frac{\pi\sin \pi \sqrt x}{\sqrt x} dx$

Can one construct any n-gon if angle trisection is also allowed?

My answer to this combi problem doesn't match the answer in the book (Problem-Solving Strategies)

A question about classifying conics, from Garrity's book

Why is this proof that the distance between two of any five points in a square $\geq \frac{\sqrt{2}}{2}$ wrong?

How to derive the equation for x in a quadratic equation? [duplicate]

Question regarding what appears to be an identity

What number of iterations must I take to reach zero in this way?

Why write $\mathrm dx, \mathrm dt$ etc. at the beginning of an integral? [duplicate]

What are the properties of these two functions?

Prove that number of $(A, B, C)$ with $A ∩ B ∩ C = \emptyset$, $A ∩ B \ne \emptyset$, $B ∩ C \ne \emptyset$ is $7^n − 2\cdot6^n + 5^n$

Champernowne constant - summation and behavior of terms in continued fraction expansion

Limit of ratio of successive n-nacci numbers?

Number of length-n paths in a graph with a fixed start vertex

Stupidly simple geometry problem I can't do

Do principal divisors always have degree 0? (from Garrity)

Is the powerset of the reals any "more uncountable" (in some sense) than the reals are?

Any deeper "duality" between non-zero-divisors and units of a ring?

Confusion regarding a (possibly) informal use of "continuously" in Artin's section about $SO_3$

Geometrically finding the axis of the composition of two rotations

Size of fibers versus degrees of residue fields in a morphism of affine schemes

Predicting the outcomes of a subset of chess games correctly