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bio website math.ubc.ca/~israel
location Richmond, Canada
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I'm an Emeritus Associate Professor of Mathematics at University of British Columbia and an Optimization Algorithms Researcher at D-Wave Systems in Burnaby BC


Aug
19
answered 2D transformation without rotation
Aug
19
answered When can a random variable be written as a sum of two iid random variables?
Aug
19
comment Applications of the derivative. Strictly monotonic functions
He means $-\sin x + 1$ is positive.
Aug
18
comment How to check if an integer has a prime number in it?
Are you looking for a specific prime number, or are you asking whether the exists a prime number in it?
Aug
18
comment Is there a connection between the diagonalization of a matrix $A$ and that of the product $DA$ with a diagonal matrix $D$?
You might also try finding an example where $DA$ is not diagonalizable but $A$ is.
Aug
18
revised Looking for a function $f$ that is $n$-differentiable, but $f^{(n)}$ is not continuous
deleted 61 characters in body
Aug
18
answered Looking for a function $f$ that is $n$-differentiable, but $f^{(n)}$ is not continuous
Aug
18
answered Weierstrass approximation to a differentiable function
Aug
18
revised Numerical computation of the Rayleigh-Lamb curves
added 227 characters in body
Aug
18
answered What's $F'(x)$ if $F(x) = \int_a^{g(x)} H(x,t) dt$?
Aug
18
answered Numerical computation of the Rayleigh-Lamb curves
Aug
17
comment About this limit, $\lim_{t\to0^+} \sum_{n=1}^\infty \frac{\sqrt t}{1 + tn^2}$
For negative $t$ the $\sqrt{t}$ can be understood as a complex number; more serious is the $1+ t n^2$ is the denominator, which makes the $n$th term undefined at $t = -1/n^2$. These discontinuities are not removable. The limit as $t \to 0-$ does not exist because there is no interval $(-\epsilon,0)$ on which your function is defined.
Aug
17
comment Centroid under the Chebyshev distance
What grid points? Yes, minimizing the sum of $L_\infty$ distances of points in the plane corresponds to minimizing the sum of $L_1$ distances after rotating by 45 degrees, and this can be obtained by medians in the rotated coordinates.
Aug
17
comment Fermat's last theorem — Google and PCMag.com
Which portrait? The one at pcmag.com/article2/0,2817,2391245,00.asp now is the same as in Wikipedia en.wikipedia.org/wiki/File:Pierre_de_Fermat.jpg: maybe it has been changed. However, I found a Kepler portrait labelled as Fermat at news.m3n4.com/general/2011/pierre-de-fermat
Aug
17
answered A tricky series problem
Aug
17
comment Is it possible for the number created by ordering $1$ to $n$ where $n > 1$ be a palindrome?
In base 3, lots of solutions, including (1)(10)(2)(12)(22)(21)(20)(11).
Aug
16
comment Are there functions satisfying the following integral condition?
I'm confused. Theo, were you commenting on a different version of the answer than what is there now?
Aug
16
answered Are there any applications of Fourier series/analysis in General relativity
Aug
16
answered Can a vertical line be a valid PDF?
Aug
15
answered Lagrange multipliers with non-smooth constraints