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.


Jun
3
comment plotting a trig functions along with its envelope
In that case, your sheath is given pretty much perfectly by $\pm 2\cos(t/2)$, but maybe that's not what you want?
Jun
3
comment plotting a trig functions along with its envelope
Well, you've got to give us some kind of input to start with.
Jun
3
comment plotting a trig functions along with its envelope
I'm guessing that's something like Cos[42x]+Cos[43x]?
May
21
comment 2D Visualization of links and knots
@RahulNarain I won't be using it anytime soon so feel free!
May
21
comment Extract a list of all built-in functions used in a notebook
You might also anticipate getting List, Set, and Times, since a=1 for example is equivalent to Set[a,1].
May
21
comment 2D Visualization of links and knots
@RahulNarain We can find all the crossings as follows: N[{ToRules[Reduce[{trefoil2d[t1] == trefoil2d[t2], 0 < t1 < 2 Pi, 0 < t2 < 2 Pi, t1 < t2}, {t1, t2}]]}].
May
20
comment 2D Visualization of links and knots
I must agree with Pickett. It would be much easier to provide a useful answer if we knew your input.
May
20
comment 2D Visualization of links and knots
@RahulNarain Better?
May
11
comment How to define a matrix with all elements 0?
Expanding on Oska's comment, if you simply define m[i_,j_]=0, then you'll get the array you want, since Array produces an array with elements m[i,j]. Oska did essentially this using a pure function.
May
10
comment How to plot this function?
@GabrielR. _?NumericQ is useful to prevent evaluation prior to an actual number being plugged in and I use it out of habit when defining functions using numerical procedures. Strictly speaking, it's not necessary here. If you were to try to plot $f'$, however, some errors would be issued. The With construct is simply a scoping mechanism to declare n as local. Module could have been used just as well.
May
9
comment How to find the period of an arbitrary mathematical function?
@RichardFateman There is an FAQ. Among other things, you'll learn that you can create new tags after you have 300 rep and how to format your posts.
May
7
comment How to find the period of an arbitrary mathematical function?
Generally, it's fine to provide pointers to papers but, if that's all and "answer" does, then a comment is really more appropriate. Also, the comment was placed under the original question. If that's genuinely a "marginally-related post", then why are you posting an answer at all?
May
7
comment How to find the period of an arbitrary mathematical function?
I suppose that one could examine the (rather complicated) output of Reduce[Sin[x + a] == Sin[x], x] and discover an a==2Pi*C[1] near the end. It's really incumbent upon Richard to provide the example he suggests.
May
6
comment Get histogram of number of vertices per component of graph H
Your result looks perfectly correct to me. It says simply that most of the connected components are quite small. You should probably accept the answer given by @ubpdqn.
May
6
comment Parallel computation of NDSolve and a problem
It works just fine when you use Table, rather than ParallelTable. If you really need to parallelize this code, you'll probably need to take a close look at techniques for resource sharing.
May
2
comment Why does this Quantity calculation lose precision?
@OleksandrR. Thanks - I whipped this together awfully quickly when I saw your answer. I expanded it a bit in light of your comments. I think the two answers are clearly somewhat orthogonal.
Apr
30
comment To solve Cylinderical PDE
You might have a look at this, though the answer might change within the month. In the meantime, you might look into formatting on this site.
Apr
29
comment Parallel and perpendicular symbol from mathematica to latex
I used this today - thanks! Too bad it doesn't look so good in the notebook, but...
Apr
22
comment How to combine more locations (GPS coordinates inside one city) with Google map?
@J.W.Perry Thanks - I'm glad you like it!
Apr
22
comment How to combine more locations (GPS coordinates inside one city) with Google map?
I think the question needs to be formulated a bit more clearly and in more detail before a solid answer can be given. It sounds like you want to create (typo?) a GoogleMap using Mathematica? If so, this question is certainly not a duplicate nor does it represent functionality present in V10. Do you have an example? Perhaps, a pointer to the type of map you would like to create?