130,003 reputation
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bio website math.ubc.ca/~israel
location Richmond, Canada
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visits member for 3 years, 6 months
seen 5 mins ago

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


1h
comment Can the furthest-neighbor algorithm outdo the nearest-neighbor?
Do you want to still have the property that the nearest-neighbor algorithm gives the worst possible result? If not, it's easy.
3h
answered Get unknown value in discrete random variable
3h
answered Help with finding an analytic function on a given domain
6h
answered Determining a Differential equation, related to Legendre
7h
answered Can this recursive summation function be simplified?
17h
comment Integration with quadratic square root
Maple also doesn't find a closed form, even in special cases such as $a=c=1$, $b=0$. I would be quite surprised if a closed form existed.
17h
answered Is it even possible to find the variance of this moment generating function?
19h
answered Limit when $n\rightarrow\infty$ of $\text{sgn}(\sin(2^n \pi x))$ with $x\in(0,1)$ fixed.
20h
comment How can I use a Gamma Random Variable to Aproach the Expected value of a exponential random variable function?
Now, the divergence is rather slow, so in a simulation it may not be very easy to see that it diverges, but nevertheless it really does diverge.
20h
comment How can I use a Gamma Random Variable to Aproach the Expected value of a exponential random variable function?
The density for an exponential random variable of mean $1$ is $\exp(-t)$. So $$ E\left[\dfrac{e^x}{x+1}\right] = \int_0^\infty \dfrac{e^t}{t+1} e^{-t}\; dt = \int_0^\infty \dfrac{dt}{t+1} = \infty$$
20h
comment How can I use a Gamma Random Variable to Aproach the Expected value of a exponential random variable function?
No!!! You can not use simulation or any other method to "approximate" something that does not exist.
20h
revised transpose and inverse multiplication
added 4 characters in body
20h
answered transpose and inverse multiplication
20h
answered How can I use a Gamma Random Variable to Aproach the Expected value of a exponential random variable function?
22h
answered How does one prove that elements of the Borel set are regular?
23h
answered Necessary and Sufficient Conditions for $f_{xy} = f_{yx}$
23h
comment How to verify an answer of an ODE?
This is an ODE, not PDE.
23h
revised How to verify an answer of an ODE?
This is an ODE, not a PDE
23h
answered How to verify an answer of an ODE?
23h
comment Irreducible Markov chain being recurrent
Condition on the first state other than $0$ that you reach.