User David Simmons

13 votes

2 answers

40k views

Squared norm of matrix equal to squared norm of its transpose

asked Mar 20, 2014 at 15:27

11 votes

2 answers

2k views

Subadditive sequences and the limit $\sup_{n\to\infty} a_n / n$

asked Mar 20, 2014 at 15:58

7 votes

2 answers

2k views

Generalization of log-convexity (log-concavity): log-log-convexity (log-log-concavity)?

asked Aug 14, 2014 at 12:07

6 votes

1 answer

167 views

Derivative of $\frac{x}{f(x)}\frac{df}{dx}$

asked Aug 23, 2014 at 16:41

5 votes

1 answer

110 views

Integral substitutions.

asked Jun 8, 2013 at 20:30

4 votes

4 answers

260 views

Evaluating $\int_{x=0}^a e^{-x}e^{-1/x}\,\mathrm dx$

asked Jun 20, 2013 at 16:26

4 votes

1 answer

804 views

Random Dynamical Systems: Intuitive Understanding

asked Oct 17, 2013 at 15:50

4 votes

1 answer

249 views

The law of large numbers - limits of $\max$ vs $\max$ of a limit.

asked Jul 13, 2015 at 11:28

4 votes

2 answers

107 views

Intermediate values of $p$-norms

asked Jan 2, 2017 at 12:59

3 votes

1 answer

50 views

Derivative of ratio of exponential functions: $ \frac{d}{dk}\left(\frac{x_{i}^{k}}{\sum_{j}x_{j}^{k}}\right). $

asked Jul 12, 2017 at 18:07

3 votes

2 answers

442 views

Isomorphic Gaussian Integers

asked Oct 27, 2013 at 18:11

3 votes

1 answer

533 views

Convergence rate of Lyapunov exponent

asked Dec 16, 2013 at 15:10

3 votes

2 answers

215 views

approximate $\int_{u=0}^b e^{-\frac{u^2 + ac}{au}}du.$

asked Jun 6, 2013 at 10:38

3 votes

3 answers

365 views

Lambert Function as a solution

asked Jul 7, 2014 at 15:01

2 votes

1 answer

75 views

Affine to linear like conversion of a concave function

asked Aug 22, 2014 at 13:28

2 votes

1 answer

188 views

Lyapunov Exponents for independent-nonidentically distributed matrices?

asked Apr 12, 2014 at 21:47

2 votes

3 answers

226 views

Solving $df/dx = x\log x$

asked May 19, 2014 at 10:39

2 votes

3 answers

159 views

Bessel function ratio approximation

asked Oct 4, 2013 at 22:07

2 votes

0 answers

56 views

Calculate $\intop_{x=0}^{1}e^{-\frac{k_{1}x}{a}}e^{-\frac{ak_{2}}{x}}\left(\frac{\sqrt{a}}{x}\right)^{2}dx$

asked Jun 20, 2013 at 18:48

2 votes

2 answers

193 views

Closed form solution?

asked Sep 5, 2013 at 11:26

2 votes

1 answer

3k views

Differentiating Indicator Function.

asked Sep 5, 2013 at 12:46

2 votes

1 answer

137 views

Function Projection: Orthogonal Polynomials

asked Jun 18, 2013 at 9:53

1 vote

1 answer

24k views

Finding an expression for the probability that one random variable is less than another, given a condition.

asked May 19, 2013 at 14:30

1 vote

0 answers

50 views

Approximation of series

asked Sep 9, 2013 at 22:19

1 vote

1 answer

74 views

Meaning of symbol $L^1(\mathbb{P})$

asked Oct 14, 2013 at 12:50

1 vote

1 answer

131 views

Calculating the Lyapunov index of elements of a matrix.

asked Oct 26, 2013 at 21:02

1 vote

2 answers

110 views

Assumptions that can be made for $f(x) + xf '(x)\leq 0$

asked Aug 17, 2014 at 17:35

1 vote

3 answers

68 views

Negative functions and their anti-derivatives

asked Aug 18, 2014 at 18:20

1 vote

1 answer

533 views

Calculating Lyapunov exponent

asked Jan 10, 2014 at 15:53

1 vote

1 answer

892 views

Solving a transcendental function using the Lambert function

asked Oct 2, 2014 at 9:55

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45 Questions

Squared norm of matrix equal to squared norm of its transpose

Subadditive sequences and the limit $\sup_{n\to\infty} a_n / n$

Generalization of log-convexity (log-concavity): log-log-convexity (log-log-concavity)?

Derivative of $\frac{x}{f(x)}\frac{df}{dx}$

Integral substitutions.

Evaluating $\int_{x=0}^a e^{-x}e^{-1/x}\,\mathrm dx$

Random Dynamical Systems: Intuitive Understanding

The law of large numbers - limits of $\max$ vs $\max$ of a limit.

Intermediate values of $p$-norms

Derivative of ratio of exponential functions: $ \frac{d}{dk}\left(\frac{x_{i}^{k}}{\sum_{j}x_{j}^{k}}\right). $

Isomorphic Gaussian Integers

Convergence rate of Lyapunov exponent

approximate $\int_{u=0}^b e^{-\frac{u^2 + ac}{au}}du.$

Lambert Function as a solution

Affine to linear like conversion of a concave function

Lyapunov Exponents for independent-nonidentically distributed matrices?

Solving $df/dx = x\log x$

Bessel function ratio approximation

Calculate $\intop_{x=0}^{1}e^{-\frac{k_{1}x}{a}}e^{-\frac{ak_{2}}{x}}\left(\frac{\sqrt{a}}{x}\right)^{2}dx$

Closed form solution?

Differentiating Indicator Function.

Function Projection: Orthogonal Polynomials

Finding an expression for the probability that one random variable is less than another, given a condition.

Approximation of series

Meaning of symbol $L^1(\mathbb{P})$

Calculating the Lyapunov index of elements of a matrix.

Assumptions that can be made for $f(x) + xf '(x)\leq 0$

Negative functions and their anti-derivatives

Calculating Lyapunov exponent

Solving a transcendental function using the Lambert function