Scot Gould

Prof. Scot Gould

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9 years, 225 days
Claremont, California, United States
Dr. Scot Gould is a professor of physics in the W.M. Keck Science Department of Claremont McKenna, Pitzer, Scripps colleges - members of The Claremont Colleges in California. He was involved in the early development of the atomic force microscope. His research has included numerous studies and experiments making us of scanning probe microscopes, particularly those which involved natural fibers such as spider silk. More recently, he was involved in developing and sustaining AISS, a full-year multi-unit non-traditional interdisciplinary undergraduate science education course which integrated topics from biology, chemistry, physics, mathematics, and computer science. His current interest is integrating computational topics into the physics curriculum. He teaches the use of the computer algebraic and numerical system Maple to assist students in modeling and visualizing physical, and biological, systems. His Dirac-notation based quantum mechanics course is taught solely through Maple. An avid baseball fan, during his spare time, Dr. Gould is traveling, particularly to locations where he can bicycle on smooth, traffic-free roads, visit beaches and/or mountains, and enjoy good food and drink.

MaplePrimes Activity


These are replies submitted by Scot Gould

A small request. Any chance you folks can add information about Physics:-Version() to help, and to make reference to it in the Physics Overview section?

@jschatzman Refering to A), like many other computing languages, the Maple language is case sensitive. Hence pi does not equal Pi. 

Pi is the defined constant. pi is a variable. (Another example is the variable "e" and "e" which equals exp(-1).) However, when Maple displays either, it appears as the Greek letter, i.e, it appear the same. (There has been requests to have the defined constant displayed in a different color. However, since I suspect so few people use the variable pi, more folks would be annoyed by the change in color.) 

If you use Common Symbols palette, Pi is distinct from the pi character in Greek palette.  

For the defined constants, you can go to this webpage:  https://www.maplesoft.com/support/help/errors/view.aspx?path=initialconstants

@Rouben Rostamian  Again, with this newer worksheet, no black image appears in Windows 10. 

The only reason I mention the graphics board / video setup is because I have an even weirder problem. When I have Maple open and I turn off the primary monitor (Dell 34"), Maple quits. No other app / program quits. This occurs both in 2021 and 2022.  I'm not even sure how to report it as a bug. 

..but when I open the worksheet, the tubes are red and red. I'm using exactly the same version of Maple 2022.1 that you are. 

Re-executing the worksheet also produces red and red. 

I don't know what graphics card my Dell (Windows 10) laptop is using. 

@TechnicalSupport A quick check using Maple 2022, the copy of a 3d plot as an image does properly paste into a Word document properly.  Thanks for the fix.

@Carl Love  I was not aware of this format.  It is more readable than my Matrix call.

But to for those who may use your solution precisely, the number-sign/hashtag at the end of the last line is not necessary. 

I agree, for those who like quantitative puzzles, Nonograms are delightful to solve.  They are a combination of art, mathematics and logic. This little app in Maple Learn is fun for creating one’s own Nonogram. 

However, it leads to a question. Given the fact one can construct a puzzle for which there are multiple solutions*, is there a simple algorithm which can determine if a puzzle possesses only one solution?

* Example: 2 x 2 grid with the top header: 1, 1 and the left header: 1, 1. 

@Preben Alsholm  I was looking forward to seeing the results for the function I call to convince undergraduates that they spent too much time memorizing techniques to solve integrals when they could have called:  Student:-Calculus1:-Tutor() .

@TechnicalSupport  One of my students reported the same problem when using 2021.2.   As I mentioned, they chose to unstall Maple, and re-install, sticking with 2021.1 version. 

@janhardo I guess my toy example has no closed-form solution. For me as a physicist and physics educator, that is rarely an important issue.  

Note: Thanks for introducing me to Student:-ODEs:-ODESteps.  It is pretty cool. I will show it to my students. They will groan because they have spent weeks practicing how to solve ODEs without the use of a computer. 

@janhardo  My apologies, but I don't understand your question. Are you referring to how I wrote the equations, or are you referring to how the solutions are presented in blue?  I wrote the expression for the derivatives as y’ or y’’, but I could have written them as y’(x), y’’(x).

This is a good problem that comes up so frequently for me that I would like to see the smart folks here provide some constructive feedback.  

My goal : solve using the most readable and simplest solution for the non-expert / occasional user of Maple. 

Here is my approach: solve the ODE with initial conditions numerically with the output as a list of procedures:
 

Note: I tried to post my worksheet,  but MaplePrimes, which displayed it, failed to post it. 

Root_of_numeric_ODE.mw

@rcorless  I love "add" and I agree about the difficulty in reading Kitonum's solution, but I read the request by the OP differently.  I read it as he wanted each term written out separately.  The "add" solution provides a single term.  

(I attended a workshop run by a long-time Maplesoft coder/ engineer. He too said that any expression which included the back-tick marks, is less than elegant. That is why he codes with ifelse instead of `if`. ) 

@mehdibaghaee 

The Expression Palette has two items labeled "a sub n". One is a green "a" with a magenta "n". The other is a completely magenta "a sub n".  The first generates an expression where "n" is the index of the variable "a". The second generates an expression of for which "a sub n" is the variable name called an atomic variable.  You should be safe in entering your code as long as you use the desired type of variable. 

 

Since, I assume you want K__xva to be a complete variable / atomic variable, use the magenta "a sub n"

K__xva[1] := 4

4

(1)

K__xva[1]+K__xva[1]

8

(2)

However, if you use the green "a" / magenta "n", this means xva is the index of K.

K[xva][1] := 4

4

(3)

K[xva][1]+K[xva][1]

8

(4)

 

Since 2D Input is popular with new users, a possible suggestion to Maplesoft it to have the 2D Input and output of any index of a variable to be NOT italicized.

Download Atomic_Variable_vs_Indexed_Variable.mw

@acer I like your solution. I've also used plots:-display(Vector[row](plot1, plot2, plot3)) for plots inline.  And yet, in both cases, is it possible to force the plot to appear in the center of the square? In my solution, they all align with the left. 

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