User peter.petrov

14 votes

5 answers

2k views

Ellipsoid but not quite

asked Mar 8, 2016 at 12:32

6 votes

3 answers

2k views

Bernoulli trials (n,p) - probability for even/odd number of successes

asked Aug 30, 2018 at 13:14

6 votes

2 answers

365 views

Find this somewhat unpleasant limit

asked Oct 24, 2021 at 10:28

5 votes

5 answers

235 views

Determinant and inverse matrix calculation of a special matrix [duplicate]

asked Dec 14, 2020 at 1:14

5 votes

2 answers

164 views

Proof by somewhat convoluted "finite" induction

asked May 6, 2022 at 21:47

5 votes

3 answers

115 views

Prove that $1-\frac{\sin(x)}{x} < x^2/2$ for $x \in (0, \pi/2)$

asked Dec 16, 2019 at 11:33

5 votes

2 answers

403 views

How exactly is the function $x^a$ defined?

asked Jan 6, 2020 at 14:07

5 votes

1 answer

317 views

Prove an integral is not solvable in elementary functions

asked Oct 16, 2020 at 14:43

4 votes

2 answers

471 views

The diophantine equation $ m = x^2 + 7y^2 $

asked Jul 21, 2020 at 22:01

4 votes

3 answers

385 views

Simple problem on conditional geometric probability

asked Aug 6, 2018 at 12:44

4 votes

1 answer

107 views

Two properties of $f(x) = x \ln { (\frac{2}{\pi} \arctan{x}) } $ how do I prove these?

asked Jul 9, 2020 at 0:55

4 votes

3 answers

224 views

Coefficient of $x^{27}$ in $(1-x^{10})^6/(1-x)^6$.

asked Aug 30, 2018 at 22:23

4 votes

4 answers

338 views

Probability theory problem - the order of drawing tickets doesn't matter

asked Dec 1, 2022 at 10:07

4 votes

1 answer

322 views

Proof of the continuity axiom in the classical probability model

asked Nov 3, 2022 at 9:12

4 votes

0 answers

157 views

Simple problem or conditions missing?!

asked Jul 31, 2021 at 23:04

4 votes

1 answer

213 views

Is this the idea behind Cauchy principal value?

asked Oct 16, 2021 at 9:33

3 votes

2 answers

1k views

Examples of sum and direct sum of vector subspaces

asked Sep 5, 2021 at 15:52

3 votes

1 answer

199 views

Euler substitutions - indefinite integral

asked Oct 6, 2020 at 10:06

3 votes

2 answers

96 views

Polynomials - rational root - divisibility

asked Feb 14, 2021 at 9:45

3 votes

2 answers

280 views

Studying a series for convergence at the boundary points

asked Dec 14, 2021 at 17:01

3 votes

1 answer

158 views

$(1+x)^a$ McLaurin series

asked Dec 22, 2021 at 18:36

3 votes

0 answers

56 views

Question about definite integrability (Riemann sense) and discontinuities

asked Dec 25, 2021 at 9:54

3 votes

2 answers

114 views

Prove limit is zero $A_n = \frac{(1/3)(1/3+1)\dots(1/3 + (n-1))}{n!}$

asked Dec 27, 2021 at 10:57

3 votes

1 answer

79 views

Transformation matrix - is it also orthogonal?

asked Jan 7, 2023 at 17:54

3 votes

2 answers

164 views

Geometry - Solve a system of equations (maybe using WA or another CAS) [closed]

asked Oct 2, 2022 at 14:48

3 votes

1 answer

138 views

Understanding the definition of inner product by Friedberg et. al.

asked Apr 24, 2022 at 21:20

3 votes

3 answers

122 views

Prove equality involving binomial coefficients

asked Sep 3, 2018 at 21:06

3 votes

1 answer

1k views

prove increasing/decreasing sequence

asked Mar 20, 2015 at 8:37

3 votes

3 answers

121 views

hard time coming up with an idea to find a limit

asked May 8, 2015 at 19:03

3 votes

0 answers

158 views

Is this statement about change of variables in limits true?

asked Jun 29, 2020 at 10:54

Stack Exchange Network

161 Questions

Ellipsoid but not quite

Bernoulli trials (n,p) - probability for even/odd number of successes

Find this somewhat unpleasant limit

Determinant and inverse matrix calculation of a special matrix [duplicate]

Proof by somewhat convoluted "finite" induction

Prove that $1-\frac{\sin(x)}{x} < x^2/2$ for $x \in (0, \pi/2)$

How exactly is the function $x^a$ defined?

Prove an integral is not solvable in elementary functions

The diophantine equation $ m = x^2 + 7y^2 $

Simple problem on conditional geometric probability

Two properties of $f(x) = x \ln { (\frac{2}{\pi} \arctan{x}) } $ how do I prove these?

Coefficient of $x^{27}$ in $(1-x^{10})^6/(1-x)^6$.

Probability theory problem - the order of drawing tickets doesn't matter

Proof of the continuity axiom in the classical probability model

Simple problem or conditions missing?!

Is this the idea behind Cauchy principal value?

Examples of sum and direct sum of vector subspaces

Euler substitutions - indefinite integral

Polynomials - rational root - divisibility

Studying a series for convergence at the boundary points

$(1+x)^a$ McLaurin series

Question about definite integrability (Riemann sense) and discontinuities

Prove limit is zero $A_n = \frac{(1/3)(1/3+1)\dots(1/3 + (n-1))}{n!}$

Transformation matrix - is it also orthogonal?

Geometry - Solve a system of equations (maybe using WA or another CAS) [closed]

Understanding the definition of inner product by Friedberg et. al.

Prove equality involving binomial coefficients

prove increasing/decreasing sequence

hard time coming up with an idea to find a limit

Is this statement about change of variables in limits true?