bio  website  math.ubc.ca/~israel 

location  Vancouver BC  
age  64  
visits  member for  4 years, 1 month 
seen  45 mins ago  
stats  profile views  5,608 
Associate Professor Emeritus, University of British Columbia, and Optimization Algorithms Researcher, DWave Systems, Burnaby BC
42m

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01 Integer Problem, On Constructing A General Case Algorithm
Look up "knapsack problem". 
3h

answered  For what real $t$ is $\{n^t : n \geq 1\}$ linearly independent over $\mathbb{Q}$? 
5h

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For what real $t$ is $\{n^t : n \geq 1\}$ linearly independent over $\mathbb{Q}$?
Has to be linearly. $4^t = (2^t)^2$. 
2d

revised 
Multivariable function analysis
added 665 characters in body 
2d

answered  Multivariable function analysis 
Apr 24 
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Multivariable function analysis
Since you say "polynomial", is $k$ to be an integer $\le n$? By "largest" do you mean largest in absolute value, or greatest real root, or what? 
Apr 24 
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Solving complicated equation involving integral of error functions
It seems extremely implausible that in general there would be a closed form for the integral, much less a closedform solution to the equation, if that's what you're asking. 
Apr 23 
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Extension of conformal map and annulus
Yes, I took "circle" in the geometric sense. 
Apr 23 
answered  Extension of conformal map and annulus 
Apr 21 
answered  First collision time of $n$ random walkers on a cycle 
Apr 18 
awarded  Nice Answer 
Apr 16 
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Denselydefined operator with closed range: conditions for operator closed
In particular, the closedness of the range doesn't really help much. For example, suppose $X = U \oplus V$ with $\text{dom}(A) = (\text{dom}(A) \cap U) + (\text{dom}(A) \cap V)$. The image of $U \cap \text{dom}(A)$ might be all of $Y$, in which case $\text{rng}(A)$ is certainly closed, but that says nothing about what happens on $V$. 
Apr 16 
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Denselydefined operator with closed range: conditions for operator closed
What sort of conditions are you looking for? You're not likely to get much other than restatements of the definition of closed operator. 
Apr 16 
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Sum of two unbounded selfadjoint operators
Well, then you could take $B = A$, and $A + B = 0$ is certainly not selfadjoint on $D(A)$. 
Apr 15 
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Motivation for the existence of periodic solutions
I would suggest not closing, as there might be good answers from the mathematical dynamicalsystems point of view. 
Apr 15 
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Uniquely ergodicity and polynomial ergodic average
Since you say "average", I presume you're dividing these sums by $n$. 
Apr 15 
revised 
Proof that image of a polynomial map is a cone
edited body 
Apr 14 
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Is there a closed form for tan(q*pi) with q rational?
You left out a factor $i$. 
Apr 14 
answered  Holomorphic functional calculus and idempotents 
Apr 13 
answered  Proof that image of a polynomial map is a cone 