I had to skip watching the first lecture live, so I went back and watched the video. In it you said there were some links provided in the chat space, but these do not appear in the video of the class. Can you provide them again?

Carl

Thank you!

BTW I do enjoy your lectures. You do, as promised, always have a gold nugget or two up your sleeve.

Carl

PS have you given any thought to the Sankey diagram question?

Mike, here's my answer to the question from the other thread:

I don't know the full scope of the problem, exactly, but it may be valuable to know a few small facts:

• Divisible[n,m] checks whether n is divisible by m
• Divisible[n,{m1,m2,...}] will return a list of divisibility results for all of the m1,m2,...
• If you'd like to check multiple numbers at once, it's usually faster to do this via built-in functions' syntax rather than writing your own and then using Table, Map, or otherwise, so it may be useful to know that you can do Divisible[{n1,n2,...},m] to check the divisibility of all of the n1,n2,... by m.
• Select can be used with a list to pick out numbers which meet any given criteria, including divisibility. For example, you could do something like Select[Prime /@ Range[100], Divisible[660973690464825842286630098265,#] &] to check which of the first 100 primes divide that integer.

Perhaps some of this together is useful, but I'm not sure at all! If you could provide an example, that would be helpful. There are lots of other things to try, like checking the number of digits of all the factors, the number of factors that the number has, and so on, but I don't know what's useful here without a more concrete example.

Hi Josias—it's a .zip, so you should be able to just right click and click "unzip" or "extract" or similar.

No, I do have to download the zip, but every OS should be able to extract the zip without any additional software I would think...

I put this question in the Q&A today, but I will repeat it here.

How come Mathematica does not have a function to create energy flow graphs (Sankey diagrams)? Seems like something somebody at Wolfram would want to champion.

I have seen some half hearted attempts to address it among users, but too clunky really. See what Lawrence Livermore does with them:

https://flowcharts.llnl.gov/

Please comment. How have Wolfram's approach ( vision, plans, ...) changed because of LLMs? For example, what is the future of Wolfram Alpha? Will WL become a feature of LLMs or the other way around.

At the end of the Day 5 notes there is a link to Mathematica Programming: An Advanced Introduction by Leonid Shifrin When I click on it, I get an nasty warning from Firefox strongly recommending I not open it. [...] Anyway, does anybody else get the same result and do you know what that was all about? I am past the age where I feel like messing with it. At least not without some coaching.

Like most websites these days, the website mathprogramming-intro.org uses https -- public key encryption -- for connections to the site. The certificate for the site is bad; that's why Firefox is complaining. If you were brave/foolish and overrode the key mismatch, you'd still get a 404 error anyhow.

You can get to the website's contents by referencing through a snapshot in The Internet Archive: paste

https://www.mathprogramming-intro.org

into the URL form on https://archive.org , and pick a snapshot from the list. Or just click on a snapshot of the site that I already found there. Your choice. IMHO, everybody should know how to use The Internet Archive: it gives you a way to get to stuff that isn't available where it should be right now. The course admins may want to put an internet-archive snapshot URL in the course materials in case anyone else goes looking for this book online.

Hi folks! Sorry about the BigMarker issues today—we're looking into whether we can maybe turn down the streaming bitrate slightly or something like that so that people experience fewer dropouts on their end.

Also, Oliver said that somebody notes that the notebook they downloaded for today didn't have all of the material that was in my version of the notebook. I downloaded this notebook from the same source that is linked to attendees in chat, I'm quite sure, so I was hoping that that person might see this and offer some clarification so I can help out!