“Juggling is sometimes called the art of controlling patterns, controlling patterns in time and space”*…

A skill for our times…

The Library of Juggling is an attempt to list all of the popular (and perhaps not so popular) juggling tricks in one organized place. Despite the growing popularity of juggling, few websites are dedicated to collecting and archiving the various patterns that are being performed. Most jugglers are familiar with iconic tricks such as the Cascade and Shower, but what about Romeo’s Revenge or the 531 Mills Mess? The goal of this website is to guarantee that the tricks currently circulating around the internet and at juggling conventions are found, animated, and catalogued for the world to see. It is a daunting task, but for the sake of jugglers everywhere it must be done.

For every trick found in the Library, there will be an animated representation of the pattern created via JugglingLab, in addition to general information about the trick (siteswap, difficulty level, prerequisite tricks, etc.). If I am able to run the pattern, then I will provide a text-based tutorial for the trick with the help of animations. I will also include links to other tutorials for the trick that can be found online, ranging from YouTube videos to private sites like this one. If I am unable to provide my own tutorial, there will still be a short description of the trick in addition to outside tutorials and demonstrations…

… if you have come to the Library looking to find out how to start juggling, than it would be best to begin with the Three Ball Cascade pattern. If you are a juggler who is already familiar with the basics, then the various tricks included in the Library can be accessed via the navigation tree on the left, or you can click here to view all of the tricks by difficulty…

Enjoy “The Library of Juggling.”

And see also: “The Museum of Juggling History,” the resources at the International Jugglers’ Association, and “The world cannot be governed without juggling.”

* mathematician (and juggler) Ronald Graham

###

As we toss ’em up, we might send carefully-calculated birthday greetings to G. H. Hardy; he was born on this date in 1877. A mathematician who made fundamental contributions to number theory and mathematical analysis, Hardy juggled other interests as well– for example his  Hardy–Weinberg principle (“allele and genotype frequencies in a population will remain constant from generation to generation in the absence of other evolutionary influences”) is now a basic principle of population genetics.

In Hardy’s own estimation, his greatest contribution was something else altogether: from 1917, Hardy was the mentor of the Indian mathematician Srinivasa Ramanujan, a relationship that has become celebrated.  Hardy almost immediately recognised Ramanujan’s extraordinary (albeit untutored brilliance), and the two became close collaborators. When asked by a young Paul Erdős what his greatest contribution to mathematics was, Hardy unhesitatingly replied that it was the discovery of Ramanujan, remarking that on a scale of mathematical ability, his own ability would be 25, Littlewood would be 30, Hilbert would be 80, and Ramanujan would be 100.

source

I just checked how many commits I had made to a certain software project (to be posted publicly soon):

$ git log --oneline | wc -l
1729

Mathematicians will know immediately what I thought about. :-)

‘I had ridden in taxi-cab no. 1729, and remarked that the number (7⋅13⋅19) seemed to me rather a dull one, and that I hoped it was not an unfavourable omen. “No,” he replied, “it is a very interesting number; it is the smallest number expressible as a sum of two cubes in two different ways.”’
— G.H. Hardy, in conversation with Ramanujan, as related in his obituary of the latter [https://archive.org/details/pli.kerala.rare.28155/page/n34/mode/1up]

#GHHardy #Ramanujan #TaxicabNumber

Big update to the annotated edition of G.H. Hardy's ‘A Mathematician's Apology’: the PDF is now *tagged* (plus various minor improvements).

(A #TaggedPDF contains extra semantic information to assist screen-reading software etc.)

The new version is available (#OpenAccess as always) at https://archive.org/details/hardy_annotated

The LaTeX tagging system is still under development [https://latex3.github.io/tagging-project/], but I have been making progress in adapting my LaTeX styles to be tagging-compatible.

For the annotated ‘Apology’, I also had to re-implement a subset of the functionality of the "manyfoot" package (which is currently not tagging-compatible), because there are two different kinds of footnotes in the annotated ‘Apology’. (Hardy's original footnotes and the annotations.)

Although the PDF passes VeraPDF validation, there may of course be mistakes in the tagging. Feedback, especially from users of screen readers, would be much appreciated, especially because I now hope to add tags to ‘Form & Number: A History of Mathematical Beauty’ [https://archive.org/details/cain_formandnumber_ebook_large].

#GHHardy #HistPhil #Mathematics #MathematicalBeauty #TeXLaTeX #Accessibility

‘Bertrand Russell & Trinity: A college controversy of the last war’ is a pamphlet written by G.H. Hardy in 1942, giving an account of the dismissal of Russell from his Trinity College lectureship in 1916 following his criminal conviction for anti-war political activity. (Hardy was at the time a fellow of Trinity and opposed Russell's ouster.)

I have uploaded a re-typeset version of Hardy's pamphlet to the Internet Archive [https://archive.org/details/hardy_russellandtrinity].

Creating this version was an exercise for me to learn how to (start to) adapt my LaTeX styles to the new interfaces created by the ongoing LaTeX tagging project [https://latex3.github.io/tagging-project/]. (A #TaggedPDF contains supplementary information to assist screen reading software, data extraction, etc.)

Also, Hardy's work is in the public domain; there seemed to be no downloadable ebook version of this pamphlet; and I thought that it would be a useful companion to the ‘Annotated Mathematician's Apology’ [https://archive.org/details/hardy_annotated].

I have made available the #LuaLaTeX source code on #Codeberg, in case anyone is interested in how the style was created: https://codeberg.org/ajcain/hardy_russellandtrinity

#GHHardy #BertrandRussell #WorldWarI #HistPhil #TeXLaTeX #Accessibility

I have updated the annotated edition of G.H. Hardy’s ‘A Mathematician’s Apology’ [https://archive.org/details/hardy_annotated] on archive.org.

I have improved a couple of annotations, and the index now distinguishes references which are only to annotations. Another short contemporaneous review was pointed out to me and I have added it to the included survey of reviews that the ‘Apology’ received on its first publication.

The PDF of the new version is available for download immediately, and archive.org will re-generate the pages for the in-browser reader over the next few hours.

#MathHist #MathPhil #philosophy #GHHardy #MathematicalBeauty

I have updated the annotated edition of G.H. Hardy’s ‘A Mathematician’s Apology’ [https://archive.org/details/hardy_annotated] on archive.org.

The PDF of the new version is available immediately, and archive.org will re-generate the pages for the in-browser reader over the next few hours.

Changes:

• Minor corrections in some annotations and the index.
• All end-of-line word hyphenations now follow the Oxford University Press standard. (The TeX/LaTeX hyphenation algorithm does a good job, but is not perfect.)
• A few bad page breaks have been adjusted.

#MathHist #typography #GHHardy #MathematicalBeauty

Sometimes one has to say difficult things, but one ought to say them as simply as one knows how.
-- G. H. Hardy

⬆ #Wisdom #Quotes #GHHardy #SimpleLanguage

⬇ #Photography #Panorama #Panopainting #Seashells #Everglades #Florida

Based on a book of the same name by Robert Kanigel, #TheManWhoKnewInfinity is the story of the mathematician Srinivasa Ramanujan (played by Dev Patel) from Tamil Nadu in India.
The film presents #mathematics as art and as a creative process of discovery. To Ramanujan, it reveals “thoughts of God”.

PS: 1729 is the smallest number expressible as a sum of two cubes in two different ways, the two ways being 13 + 123 and 93 + 103 💓

#Ramanujan #movies #India #love #GHHardy

https://youtu.be/Jji1zSwxstU?si=2Mqy705KY5FnyT5U