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I received my Ph.D in mathematics from Ohio State in 1994 under the direction of Gerald Edgar and have been a professor of mathematics at The University of North Carolina - Asheville since 1997. In recent years, I've also worked as a part-time consultant to Wolfram Research focusing on development of mathematical content for WolframAlpha.


1d
comment What do Root[], #, & mean in Wolfram Alpha?
@NotNotLogical The question is about WolframAlpha and there's no reason to think that the OP knows Mathematica at all.
Apr
17
comment Help me integrate this function using Simpson's rule
The question is about Simpson's rule and Wolfram|Alpha can do computations with Simpson's rule directly.
Apr
16
comment Primitive $r/(1+r^2)$ without abs()
By default Mathematica and W|A work with complex functions. Now, $\log(z)$ is differentiable on the complex plane, except on the negative real axis where it has a branch cut. $\log(|z|)$, by contrast is nowhere differentiable as a complex plane. So, to assert that $\int(1/z)dz=\log(z)$ in this context is simply incorrect.
Apr
15
reviewed Approve suggested edit on What does it mean to divide a complex number by another complex number?
Apr
15
comment radius of convergence of half iterate of sinh(z)?
This is guaranteed to happen in the neighborhood of a neutral fixed point: see the Fatou petal theorem.
Apr
14
revised What are these numbers?? (floor(a)=0)
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Apr
14
revised What are these numbers?? (floor(a)=0)
edited body
Apr
14
revised What are these numbers?? (floor(a)=0)
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Apr
14
revised What are these numbers?? (floor(a)=0)
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Apr
13
answered What are these numbers?? (floor(a)=0)
Mar
26
comment Should I use the ratio test to determine convergence for $\sum_{k = 1}^{\infty}{1 \over k\left[1 + \ln^{2}\left(k\right)\right]}$?
Give the integral test a try.
Mar
25
comment Intuition behind chain rule
math.stackexchange.com/questions/62614/chain-rule-intuition
Mar
23
comment parametrize surface region
Almost. The set is two dimensional and requires two input variables, specified by $u$ and $v$ by the OP.
Mar
22
revised How can I use math to fill out my NCAA tournament bracket?
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Mar
21
comment Why does Fixed Point Iteration work?
Oh, I guess I misunderstood the word "requires". My bad!!
Mar
21
comment Why does Fixed Point Iteration work?
You said that the iterative technique for finding fixed points requires that the function be contractive. I'm saying that's not necessarily true. I only happen to know this since I've been studying the iteration of the Takagi function recently. It turns out, that for almost every initial seed, the orbit converges to the fixed point 2/3. So, in this case, we might say that the technique works in the absence of a contraction condition. On the other hand, your comment is certainly apropos in the differentiable case. +1!
Mar
21
comment Why does Fixed Point Iteration work?
Is this really true? If your contraction condition is satisfied, then we can expect convergence to a fixed point. What if the function mapping a closed interval to itself is nowhere continuous but differentiable? We certainly expect a fixed point.
Mar
20
revised What are the exact odds of getting a perfect NCAA bracket?
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Mar
20
revised How can I use math to fill out my NCAA tournament bracket?
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Mar
14
awarded  Self-Learner