User talk:Sam Derbyshire

Feel free to write a new message, I'll do my best to answer.

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Illustration Software

What software do you use to produce your mathematical illustrations? — Preceding unsigned comment added by Flashfiasco (talk • contribs) 19:03, 21 February 2012 (UTC)

It tends to vary, but lately I've been mainly using Mathematica. Usually it's specified on the image's page. Did you have any particular images in mind you would like me to clarify?

Thanks for your interest. -Sam^Talk 19:11, 21 February 2012 (UTC)

Viennot's geometric construction

Hello, I like very much the animated illustration you give of Viennot's geometric construction. By the way, I translated the page to french just a few days ago. I just have a question about the title : I do not feel that it reflects the topic which is concerned because the word "Young" does not appear in it. So I wonder if there is a way to mention Young tableaus in the title without making it too long ? Best wishes. ManiacParisien (talk) 13:28, 16 March 2012 (UTC)

Thanks, you did a nice translation! I'm not sure what other title would be appropriate, but feel free to suggest your ideas.

Glad to hear you like the image. -Sam^Talk 00:23, 17 March 2012 (UTC)

Thank you for your corrections of the translation. Concerning the title, perhaps something like "Young tableau by Viennot's construction"; this cancels "geometric" just to make it shorter. --ManiacParisien (talk) 05:55, 17 March 2012 (UTC)

Code used to generate mathematica plots

Can I ask what mathematica code you used to produce such plots as http://en.wikipedia.org/wiki/File:GammaAbsSmallPlot.png ? The presentation is light years ahead of the default plot style.

Thanks, Dave — Preceding unsigned comment added by 159.92.231.229 (talk) 14:30, 24 April 2012 (UTC)

Hey, thanks for your interest. I've added some code here, hopefully that is of use to you. It's a bit lengthy, but you can tweak parameters to get everything right. It's not really as professional as having Mathematica do all the work, but hey. --Sam^Talk 15:31, 24 April 2012 (UTC)

Thanks for the update

This is rather belated, but thanks tremendously for updating this image used in Exponentiation in response to my request. I certainly think this illustrates some key concepts more clearly. — Quondum^☏ 06:08, 17 May 2012 (UTC)

No worries, glad to be useful around here. Thanks! --Sam^Talk 06:26, 17 May 2012 (UTC)

Hello!

What software do you use to graph and illustrate functions?

99.160.159.194 (talk) 19:26, 19 May 2012 (UTC)Devery

File Size of your Gifs.

I find that most of your animations created with MuPAD huge in size for gifs for common display . Most of them ranging into few MBs.Could you do something about the size cause with my ISP gives me very a low transfer rate. I find the gifs taking a long time to render smoothly.

An example of a gif animation smaller in size is this. by a user Zorgit. (He makes them with MSVC++ and some GDI+ functions to export Tiffs which he then converts to layered gifs .)

BTW : Could you suggest a free and opensource software for these kind of mathematical animations , MuPAD is kinda on the steeper side.

- Ankit

A page you started has been reviewed!

Thanks for creating Log structure, Sam Derbyshire!

Wikipedia editor Theopolisme just reviewed your page, and wrote this note for you:

Thanks for the new article, Sam! Keep up the good work, —Theopolisme 00:02, 2 November 2012 (UTC)

To reply, leave a comment on Theopolisme's talk page.

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animated hyperbolic page doesnt work

hi same hyperboloic page doesnt work ... its a jpeg, which i thinhk is only a picture, not a video please tell me when you fix it so i can watch it ... steve inventorz at yahoo dot com — Preceding unsigned comment added by Spluzer (talk • contribs) 23:26, 28 December 2012 (UTC)

Hi, can you be more specific? Which image doesn't display as expected? -Sam^Talk 23:52, 28 December 2012 (UTC)

Taylor Series: Real Part of Cosine in Complex Plane

Hi Sam, I used MuPad and simply plotted: plot(Re(cos(x+sqrt(-1)*y)), x=-2*PI .. 2*PI, y = -2*PI .. 3, ViewingBoxZRange=-10 .. 10 , #3D)

However, the graphic is a bit different than yours (for y < -3). Would you mind sharing your code for this graphic?

Thanks! -Ace — Preceding unsigned comment added by 72.81.233.201 (talk) 23:11, 9 January 2013 (UTC)

I've shared the MuPAD code I used to make those images on this page. In particular, take a look at the section entitled "General 3D function", you should find what you want there.

Hope that helps! Thanks.--Sam^Talk 08:33, 10 January 2013 (UTC)

Thank you!

Hey Sam, I'm the user who has been asking about the Riemann Hypothesis over finite fields and I just wanted to say sorry I haven't had the chance to reply much lately but thank you so much for all your help! Its really good of you to use your time to help other people understand and I just wanted to say it's really appreciated mate! — Preceding unsigned comment added by 86.136.208.49 (talk) 19:50, 24 January 2013 (UTC)

Hi. You're more than welcome, I love the story surrounding this topic and tried to convey some small portion of it. A lot of the content is actually very intuitive, just that it took a while to formulate so the language can see quite daunting at first. I'm glad you enjoyed what I had to say on the topic, and of course I'm happy to further my explanations.

Thanks. -Sam^Talk 21:06, 24 January 2013 (UTC)

I want to know what software to draw trochoid wave

Hi I'm a Korean student. I want to know what software to draw trochoid wave and I want to see more image about hypotrochoid for example, original circle radius = 3

            moving circle radius = 1
            line = 0.5

if the software you use is free, please tell me what the software is. I want to download it

thank you have nice day — Preceding unsigned comment added by 203.255.15.111 (talk) 07:48, 30 October 2013 (UTC)

Basic trig?

Something simplistic but I think it would make a great learning tool. Generate and plot all the basic trig functions from a rolling circle (sin, cos, tan, cot, csc, exsec, versin etc..) on a single display? Loved the hyperbolic plot and the bezier curves and the epitrochoids and hypotrochoids. Great stuff. — Preceding unsigned comment added by Rollingideas (talk • contribs) 00:00, 20 November 2013 (UTC)

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HyperbolicAnimation - trig comparison

dear sam

thanks for this super animation i am an architect who occasionally tries to refresh his trigonometry learnt many years ago. i never understood cosh at school, and this animation makes it wonderfully clear. i think it would make a cool screen-saver ! i have the 'fractal clock' screen-saver which is fab and have used it for years.

the cad software i use is called vectorworks and 3d models are mostly simple extrusions, but in order to make interesting curved forms (pods and tensile 'tents') we use a 3d tool to create a non-uniform-rational-b-spline (NURBS). however simply creating one in cad seems a little arbitrary and i don't know how any particular shape relates to any particular hyperbolic function, or curve. would you be able to elucidate a little on nurbs for architects ? the wiki NURBS page does not seem to cross refer to hyperbolic functions - are they related ? regards

dominic cox (architect) riba — Preceding unsigned comment added by Domskitect (talk • contribs) 06:50, 4 January 2014 (UTC)

Peritrochoid article / MuPAD animated image

There is no "Peritrochoid" article page on Wikipedia at the moment.

I note that someone before me listed "Peritrochoid" in the requested articles page.

[[1]]

I am writing to you because I liked your animated image for epitrochoid, I saw that you had created it using MuPAD, which doesn't appear to me to be free software for me to download and install to make such a image for peritrochoid and I think a Peritrochoid page would really benefit from such an animation.

So I am wondering if you can help either produce a peritrochoid animation, perhaps even create a peritrochoid article page with such an image in it? Is that something you'd consider doing, when you have time? Please.

Peter Dow (talk) 00:16, 2 June 2014 (UTC)

Pedal of the evolute of the ellipse

Hello! I am not a mathematical wizard like you, but I found that your diagrams for the Pedal Curve to prove an idea I have. Of course, I wish I knew the math behind it, but the concept fits perfectly. My question is this: in the pedal of the evolute of the ellipse, does it indeed make a larger ellipse outside of what is seen in your diagram? if so, how can I get a diagram that includes the pedal of the evolute of the ellipse along with the external ellipse?

76.169.36.186 (talk) 00:25, 7 July 2014 (UTC)Colette Street cstreet (at) email (dot) fielding (dot) edu

Dear Sam, have you the Mathematica code for the elliptical cone available?

Best regards, Peter — Preceding unsigned comment added by 141.35.155.82 (talk) 13:27, 23 February 2015 (UTC)

ArbCom elections are now open!

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Graphics for quadric article

Hi

I edited the quadric article because (in my opinion) two 3-D quadrics were missing. (the "Circular hyperboloid of one sheet " and the "Circular hyperboloid of two sheets") could you make nice graphics for them? (like you did for the other ones thanks)

But I do think the graphic for the "Elliptic hyperboloid of two sheets" is in fact the circular one, maybe then could you replace this one with a more elliptic one.

Wondering about the remark earlier in the article "In three-dimensional Euclidean space there are 16 such normal forms. Of these 16 forms, five are nondegenerate" We have 10 nondegenerate forms allready

Hope you can make new graphics. WillemienH (talk) 13:46, 3 April 2016 (UTC)

Hey,

Thanks for the request, I'll get on it as soon as possible. I'm having a few issues with the lighting, to get it to match the other images. Once I fix that I'll upload the missing images. —Sam^Talk 02:18, 6 April 2016 (UTC)

I had a few issues matching the colour scheme exactly, as I'm running an updated version of Mathematica and the calculation of lighting seems to have changed a bit. I hope the images are added are OK! —Sam^Talk 14:38, 12 April 2016 (UTC)

THANKS WillemienH (talk) 15:39, 12 April 2016 (UTC)

Please claim your upload(s): File:2dFunctionsMuPAD.png

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However, as part of ongoing efforts to ensure all media on English Wikipedia is correctly licensed and attributed it would be appreciated if you were able to confirm some details,

If it's your own work, please include {{own}}, amend the {{information}} added by a third party, and change the license to an appropriate "self" variant. You can also add |claimed=yes to the {{media by uploader}} tag if it is present to indicate that you've acknowledged the image, and license shown (and updated the {{information}} where appropriate).

If it's not your own work please provide as much sourcing/authorship information as you are able to.

This will assist those reviewing the many many "free" images on commons that have not yet been transfered to Commons.Sfan00 IMG (talk) 11:35, 30 July 2016 (UTC)

Please claim your upload(s): File:3dFunctionMuPAD.png

Hi, Thank you, for uploading this file.

However, as part of ongoing efforts to ensure all media on English Wikipedia is correctly licensed and attributed it would be appreciated if you were able to confirm some details,

If it's your own work, please include {{own}}, amend the {{information}} added by a third party, and change the license to an appropriate "self" variant. You can also add |claimed=yes to the {{media by uploader}} tag if it is present to indicate that you've acknowledged the image, and license shown (and updated the {{information}} where appropriate).

If it's not your own work please provide as much sourcing/authorship information as you are able to.

This will assist those reviewing the many many "free" images on commons that have not yet been transfered to Commons.Sfan00 IMG (talk) 19:03, 30 July 2016 (UTC)

epicycle graphics

Sir:

I really appreciate the animated .gf that you wrote to visualize the hypotrochoid in the wikipedia article. It is some very nice work.

I am trying to create a similar graphic animation to demonstrate the path that a point on a roller takes as it travels around the inner race of a roller bearing. I have the equations, and can make static images in excel, but what I really would like is to be able to generate an animated .gif similar to yours.

If you could tell me what software that you used to generate the .gif, and how you did it. I would be most grateful.

I can be reached at [redacted].

Thanks

Robert McDaniels

Hi Robert. At the time, I made those images with the software MuPAD (which is now discontinued), but they can easily be made with most modern computer algebra systems, such as Mathematica or Maple.

I can send you some Mathematica code if you are interested. --Sam^Talk 15:36, 11 October 2016 (UTC)

File source problem with File:2dFunctionsMuPAD.png

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Complex function graphs

I saw some nice graphs you made on this topic, thank you for them. Yet I find lacking in wikipedia (as well as all mainstream math tool fora) a rather simple and obvious, but telling, graphing method: representing all 4 (real) coordinates at once, ie, projecting the entire surface (which is what a complex function w(z) represents) into one graph. It's the topic of my Youtube channel at https://www.youtube.com/playlist?list=PL5xDSSE1qfb6FIk0Pl3VCg5p3Ema52hEG and webpage http://www.wugi.be/qbComplex.html

with many examples. 

Also with some other rendering techniques such as parameter curves, graphing w(/z/) in contrast to the 'classical' /w(z)/, ... I'd be happy if you would have a look at these, and comment on the reason why such interesting graphic material remains absent from sites dedicated on the topic and using powerful tools. Thank you.

81.164.174.159 (talk) 20:26, 25 April 2018 (UTC)

Dear Sam,

On the Wikipedia page on the radius of convergence of analytic functions you have uploaded a nice graph showing the singularities and the radius of convergence of a certain function, but you do not say which one. You only say that this is the graph of the function explained in the text. Yet the text has several examples, and it is not clear to which one you refer. Could you please specify? Thanks a lot.

Hebert 37.15.205.161 (talk) 09:45, 12 September 2023 (UTC)

Thanks, I've clarified that the image depicts $f(z)={\frac {1}{1+z^{2}}}$. Sam^Talk 10:22, 12 September 2023 (UTC)

Danubian cycloid

Hello Sam Derbyshire, Could You do some maps of three phase cycloid Danube propagation and paleodynamics for open access sci article. It would be great breakthrough. After we can use it on Commons. Best, Lepota luba cosmo lepota.cosmo@hotmail.com--178.220.219.36 (talk) 03:43, 13 September 2018 (UTC)

Thank you for the plot of z=x^y

Thank you very much for the plot of z=x^y in proximity of the origin: https://en.wikipedia.org/wiki/Zero_to_the_power_of_zero#/media/File:X^y.png 2003:FC:8F11:5100:14EB:A3FA:D793:DEA (talk) 08:52, 11 September 2020 (UTC)

Thanks for the images in the article Morse-Smale system

It greatly helped me to visualize the concept 😀 - Saung Tadashi (talk) 09:12, 23 February 2022 (UTC)

Thanks! Sam^Talk 10:00, 23 February 2022 (UTC)