bio  website  math.ubc.ca/~israel 

location  Vancouver BC  
age  64  
visits  member for  4 years, 3 months 
seen  56 mins ago  
stats  profile views  5,911 
Associate Professor Emeritus, University of British Columbia, and Optimization Algorithms Researcher, DWave Systems, Burnaby BC
6h

awarded  Nice Answer 
1d

comment 
Is a specific sequentially closed subset of $M([0,1])$ closed?
Why $C_b$ rather than just $C$? $[0,1]$ and $[0,1]\times [0,1]$ are compact. 
2d

answered  Identities involving sums of Catalan numbers 
2d

revised 
Determining if a matrix is orthogonal
added 536 characters in body 
Jul 2 
answered  Determining if a matrix is orthogonal 
Jul 1 
comment 
When are the powers of 2 sumfree mod n?
@Seva If my program is correct, the first few odd $n$ with the property are 1, 3, 7, 15, 21, 31, 51, 63, 73, 85, 89, 91, 93, 105, 117, 127, 133, 151, 195. This sequence is not in the OEIS. 
Jun 30 
comment 
What conditions imply that a function over $\mathbb{Z}$ is a polynomial?
If $f$ is entire and there are at least two values that $f$ takes only finitely many times, then $f$ is a polynomial. 
Jun 30 
comment 
Is Every Holomorphic Near an Entire?
For your "plus sign" approximation, take $f(z) = z^3 g(z^4)$ where $g$ is a polynomial such that $t^{3/4} (g(t)  t^{1/2}) < \epsilon$ for $t \in [0,1]$. Such $g$ can be found using standard numerical approximation methods. For example, with $\epsilon \approx 0.1$, g(t) = 13.6602896164833+(295.346171207092+(3061.90100782145+(16221.4880068369+(48270.4896476068+(84097.0658600084+(85091.1281127053+(46285.3324386071+10463.1560731230*t)*t)*t)*t)*t)*t)*t)*t will work. 
Jun 30 
revised 
Generate Bernoulli vector with given covariance matrix
deleted 9 characters in body 
Jun 30 
answered  Generate Bernoulli vector with given covariance matrix 
Jun 30 
comment 
Generate Bernoulli vector with given covariance matrix
Covariance matrices don't have to be diagonal. They do have to be positive semidefinite. 
Jun 26 
revised 
Arctangents of odd powers of the golden ratio
added 18 characters in body 
Jun 26 
revised 
Arctangents of odd powers of the golden ratio
edited body 
Jun 26 
revised 
Arctangents of odd powers of the golden ratio
deleted 19 characters in body 
Jun 26 
answered  Arctangents of odd powers of the golden ratio 
Jun 25 
comment 
Are spherical harmonics uniformly bounded?
Which normalization are you using? 
Jun 25 
comment 
Can I find the gap between the two least eigenvalues of this special matrix A(t)?
How can this be unitary? Do you mean hermitian? 
Jun 23 
comment 
How do I evaluate this sum :$\sum_{n=0}^{\infty} \frac{\sin(n!)}{\cos(n!)}$ if it's not open problem?
@Zeraouliarafik I have no analytical proof for $\sum_n \tan(n!)$ diverging either. It seems to me very unlikely that Diophantineapproximation bounds for $\pi$ could be anywhere near good enough to prove this. 
Jun 23 
comment 
How do I evaluate this sum :$\sum_{n=0}^{\infty} \frac{\sin(n!)}{\cos(n!)}$ if it's not open problem?
If you want one that converges absolutely, try $\sum_{n=0}^\infty \tan(\pi (2n)! (e + 1/e)/2)$ 
Jun 23 
comment 
How do I evaluate this sum :$\sum_{n=0}^{\infty} \frac{\sin(n!)}{\cos(n!)}$ if it's not open problem?
You mean $n!/e = (1)^{n+1}/(n+1) + O(1/n^2) (\mod \mathbb Z)$, so $\tan(\pi n!/e) = (1)^{n+1} \pi/(n+1) + O(1/n^2)$. Yes, the sum converges conditionally. 