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Volume 22, Number 31

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 August 4, 2017                                  Vol. 22, No. 31


            My Favorite Theorem | Theorem of the Day
          Student Projects from the Wolfram Summer Camp


                       MY FAVORITE THEOREM


 Last Thursday, a pair of mathematicians launched a new podcast.

 On "My Favorite Theorem," hosts Kevin Knudson and Evelyn Lamb
 talk to a guest about a personally compelling result. In the
 course of less than 25 minutes' conversation, they often touch
 upon that theorem's historical context, related work, the
 guest's own career path, and other personal connections
 and anecdotes.

 At the end of every segment, guests take their favorite
 theorems and pair them with something -- which Lamb has
 suggested might take the form of "the perfect wine, or ice
 cream, or work of 19th century German romanticism."

 The first few podcasts have paired--

    - the Ham Sandwich Theorem with a pale ale;
    - the Uniformization Theorem with Neapolitan ice cream;
    - the Fundamental Theorem of Calculus with "something
      like a mango"; and
    - the Circle Area Theorem with pizza.

 For transcripts, follow the parenthetical "click to expand"
 prompts below a given episode from Knudson's archive:


 Lamb also embeds the audio clips in rich recaps on her
 Scientific American blog, which further provide visuals and
 links to more resources:

 The duo tweet out updates via



                       THEOREM OF THE DAY


 Robin Whitty has added over 150 theorems, lemmas, laws,
 formulas, and identities to his gallery since it last appeared
 in these pages.

 Referring to them as math's "crowning achievements," Whitty has
 distilled each result so as to "be appreciated by as wide an
 audience as possible." All of his one-page PDFs feature a
 diagram or some other instructional illustration; nearly 50
 accommodate sketches of proofs, as indicated by the green
 "QED"s in the main theorem listing.

 In addition to complete alphabetical and chronological
 listings, organizes theorems by subject and
 mathematician (or statistician, physicist, economist, composer,
 or computer program). See, in particular, the list of theorems
 proven by women:

 Whitty also tweets a daily theorem via @theoremoftheday:





 What do you get when you unleash teenagers on a programming
 language packed with knowledge -- about algorithms and about
 the world?

 The software company behind Wolfram|Alpha wrapped up its sixth
 residential program for high schoolers a month ago. Students
 came to Wolfram Summer Camp from a wide range of schools. They
 arrived with diverse programming backgrounds, as well; founder
 Stephen Wolfram blogged on Wednesday that "quite a few had
 never really done anything computational before -- even though
 they were often quite advanced in various STEM areas such
 as math."

 Sparked by twelve days of math lectures and programming
 classes, teens went on to code such projects as--

    - Teaching Algebra by Generating Hints from Wrong Answers;
    - Finding Spikes in Electrophysiological Data from Neurons;
    - Using Voronoi Diagrams to Optimize Offensive Schemes; and
    - Fully Functional ParametricPlot4D: Curves, Surfaces,
      and Volumes.

 Beyond sharing their thinking and Mathematica notebook files
 with the Wolfram community, some campers took to the Wolfram
 Cloud, where they posted simple interactive
 microsites, including--

    - Analyzing Regular Tilings
    - Using Machine Learning to Identify Road Signs
    - Is This a Joke? - Humor Detection
    - Translating Historic and International Numeral Systems
    - A Cryptographic Hash Code Algorithm Based on 
      Cellular Automata
    - A Banana Classifier

 Catch up on the past five summers of young computational
 thinkers and their projects by scrolling down and clicking
 through the "class archives" links, to the right of the orange
 vertical divider:

 To learn more about the knowledge-based programming used by the
 high schoolers, visit



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