19,932 reputation
24193
bio website sites.google.com/a/unca.edu/…
location Asheville, NC
age
visits member for 2 years, 7 months
seen 4 hours ago

I've been a professor of mathematics at The University of North Carolina - Asheville since 1997. I've been using Mathematica since I started graduate school in mathematics at Ohio State in 1989. At that time, we used version 1.1 (as I recall) to teach calculus in our Calculus and Mathematica classes. I've used it pretty much continuously in my teaching and research since then.

In addition to my posts on SE, you can find some of my papers, teaching notebooks and other Mathematica based oddities strewn throughout my website.

In recent years, I've also worked as a part-time consultant to Wolfram Research focusing on development of mathematical content for WolframAlpha.


8h
comment How to find this limit correctly?
@DanielLichtblau That is what I thought. But, then, how do I explain the fact that Limit[n^2 Sin[2*n*Pi], n->Infinity, Assumptions->Element[n, Integers]]==0?
9h
revised How to find this limit correctly?
added 549 characters in body
9h
answered How to find this limit correctly?
11h
comment How to find this limit correctly?
@belisarius Well, yeah, but that's a discrete plot indicating the limit is $2\pi$ ( I assume, I'm on my iPhone).
21h
comment Importing High Precision (22 digits) data from a file
@jason There is no import as string in my example. I used ImportString since it works exactly as Import but allows one to show a whole example without reference to an internal file. If you want that specific number, then that specific number will need one more zero in your input file. Keep in mind also that you should get the binary number with the specified precision closest to your input, so that trailing digits are often present. I can't verify your 8.24574098106 as I get 8.24574097909*^8, which seems quite right.
22h
answered Importing High Precision (22 digits) data from a file
1d
comment Use Mathematica to calculate the area enclosed between two curves
Is there an obfuscated Mathematica contest?? :)
1d
comment Specifying Range of RSolve
@QuinnCulver I mean that $|x_{n}-3/4|<(|x_{n-1}-(3/4)|)/2$. In words, the distance between $x_n$ and $3/4$ is a little less than half the distance between $x_{n-1}$ and $3/4$. You can verify this numerically by looking at Ratios[N[Table[q[n],{n,0,9}]-3/4]] - you'll see a sequence converging to $1/2$. Analytically, you're iterating $f(x)=(-2x+3\sqrt{4x+1}-3)/2$ which has a fixed point at $x=3/4$ satisfying $f'(3/4)=1/2$.
2d
comment Approximate the largest and the smallest values of the integral
@ubpdqn I think your answer is perfectly appropriate! By math.se, I meant math.stackexchange.com.
2d
comment Approximate the largest and the smallest values of the integral
The integrand is positive on the interval $1\leq x \leq 3$ so the extremes certainly happen at the endpoints. Though, perhaps you mean to ask this on math.se?
2d
awarded  Enlightened
2d
awarded  Nice Answer
2d
reviewed Reviewed I need to remove a line from a ParametricPlot
Aug
30
revised Replacing graph nodes with matrices
deleted 42 characters in body
Aug
30
revised Replacing graph nodes with matrices
added 597 characters in body
Aug
30
answered Replacing graph nodes with matrices
Aug
29
reviewed Leave Open How to solve two non-linear equations in two variables
Aug
28
comment Exporting as GIF
No problem - I'm glad you figured it out.
Aug
28
answered Exporting as GIF
Aug
28
reviewed Close Parametric Plot not plotting all points