I've been wanting to try #light_table #ide for quite some time, but when I'm not to tired to spend a couple of hous with it, I forget.
I wonder if anyone here is using it?
http://lighttable.com/
#programming #clojure #python
surprising #connections between #Number_Theory and #physics
number theory and physics archive
http://empslocal.ex.ac.uk/people/staff/mrwatkin/zeta/physics.htm
> As easy as it is to make #triangles with #rational #angles, a similar problem in three dimensions proved so challenging that it took decades for the world’s best #mathematicians to resolve. What makes this kind of problem so much harder one dimension up?
Why Triangles Are Easy and Tetrahedra Are Hard
https://www.quantamagazine.org/triangles-are-easy-tetrahedra-are-hard-20220131/
"All in all you're just an...
... other brick in the wall..."
#thewall #pinkfloyd #rockchoir
The fellow whom I stole this #photo from wrote:
"The photo shows #Cairo #city. You may think things are #bleak where you live, but at least you don’t live in Cairo. Have a great day."
It reminded me of this: https://en.wikipedia.org/wiki/The_Concentration_City
> In 1779, the Swiss #mathematician Leonhard #Euler posed a #puzzle that has since become famous: Six army regiments each have six officers of six different ranks. Can the 36 officers be arranged in a 6-by-6 square so that no row or column repeats a rank or regiment?
> But after searching in vain for a solution for the case of 36 officers, Euler concluded that “such an arrangement is #impossible, though we can’t give a rigorous demonstration of this.” More than a century later, the French mathematician Gaston Tarry #proved that, indeed, there was no way to arrange Euler’s 36 officers in a 6-by-6 square without repetition. In 1960, mathematicians used #computers to prove that solutions exist for any number of regiments and ranks greater than two, except, curiously, six.
> But whereas Euler thought no such 6-by-6 square exists, recently the game has changed. In a paper posted online and submitted to Physical Review Letters, a group of quantum physicists in India and Poland demonstrates that it is possible to arrange 36 officers in a way that fulfills Euler’s criteria — so long as the officers can have a #quantum #mixture of ranks and regiments.
Euler’s 243-Year-Old ‘Impossible’ Puzzle Gets a Quantum Solution
https://www.quantamagazine.org/eulers-243-year-old-impossible-puzzle-gets-a-quantum-solution-20220110/
by and for mathematicians
https://msp.org/
> space—and perhaps even time—is not fundamental. Instead #space and #time may be emergent: they could arise from the structure and behavior of more basic components of nature.
> best theory of #gravity is general #relativity , Albert Einstein’s famous conception of how matter warps space and time
> best #theory_o_everything else is #quantum #physics
> But the two theories don’t play nicely
> Nature knows how to apply gravity in quantum contexts—it happened in the first moments of the #big_bang, and it still happens in the hearts of #black_holes —but we humans are still struggling to understand how the trick is done.
> quantum physics treats space and time as immutable, general relativity warps them
> If #spacetime is #emergent, then figuring out where it comes from—and how it could arise from anything else—may just be the missing key that finally unlocks the door to a theory of everything.
> uncovered a duality between a kind of well-understood quantum theory known as a conformal field theory (CFT) and a special kind of spacetime from general relativity known as anti–de Sitter space (AdS).
> The two seem to be wildly different theories—the CFT has no gravity in it whatsoever, and the AdS space has all of Einstein’s theory of gravity thrown in. Yet the same mathematics can describe both worlds.
> Based on some of the peculiar characteristics of black holes, ’t Hooft and Susskind suspected that the properties of a region of space might be fully “encoded” by its boundary.
> in the AdS/CFT correspondence, the four-dimensional CFT encodes everything about the five-dimensional AdS space it is associated with. In this system, the entire region of spacetime is built out of interactions between the components of the quantum system in the conformal field theory.
> If this space is emergent, what is it emerging from? The answer is a special and strangely quantum kind of interaction in the CFT: #entanglement, a long-distance #connection between objects, instantaneously correlating their behavior
> entanglement is what produces distances in the AdS space in the first place. Any two nearby regions of space on the AdS side of the duality correspond to two highly #entangled quantum components of the CFT.
> this relation might apply to our universe as well.
> “What is it that holds the space together and keeps it from falling apart into separate subregions? The answer is the entanglement
> space itself emerges out of a fundamentally quantum phenomenon
... and this is only the skeleton of 1 of 2 new theories that intend to explain space (and probably time) as emergent. If you're on these matters you must read the article in full.
What Is Spacetime Really Made Of?
https://www.scientificamerican.com/article/what-is-spacetime-really-made-of/
I don't know if anyone needs these, but I'll drop them here anyway.
Zotero
https://www.zotero.org/
Improved PDF retrieval with Unpaywall integration
https://www.zotero.org/blog/improved-pdf-retrieval-with-unpaywall-integration/
How to configure Zotero to retrieve Publication’s PDF from Sci-Hub automatically
https://gagarine.medium.com/use-sci-hub-with-zotero-as-a-fall-back-pdf-resolver-cf139eb2cea7
#Classical #music is for people who truly enjoy listening to music.
Va, pensiero (Chorus of the Hebrew Slaves) - Giuseppe Verdi: Nabucco - Kendlinger
https://youtu.be/XttF0vg0MGo
" This disconnect between our Gaussian perception and the Pareto reality is not an obscure intellectual point, but instead carries serious practical consequences. Because of this error, our approach to most problems is, at best, suboptimal. Malcolm Gladwell, for example, has written about how the typical solutions meant to address homelessness — shelters and soup kitchens — have been ineffective because they’re based on the mistaken assumption that the majority of homeless people follow the average: average number of days without a roof, average cost per person to the public purse, or average reasons for being homeless. Yet on all these dimensions, homelessness follows a power law, too. In the words of Nobel laureate physicist Philip Anderson, we need to free ourselves from “average” thinking, or focusing on the mean, which, in most cases, is misleading. The joke that when Bill Gates walks into a bar, everyone in that bar becomes a millionaire on average, illustrates the point. Outliers and tails are dismissed as aberrations, when in fact they have the most impact — good and bad. A small viral event, for example, snowballs into a global coronavirus pandemic and economic disaster."
(It worthes reading up to here only)
#kraftwerk - #Radioactivity (Original Version)
https://youtu.be/NyXeJZJUFHE
It seems that no one will come to restore this poor #programmer confidence in Julia. But I don't want you to think bad of Julia.
It happens that Julia is just very demanding and needs the big() function to make it work.
julia> big(2)^big(64)
18446744073709551616
See? (nerd joke warning!)
> For every one molecule of carbon monoxide exhaled, a molecule of the pigment found in red blood cells is also destroyed
> In microgravity, the human body loses about 10 percent of the liquid flowing through our blood vessels, as blood accumulates in our head and chest.
> The effects of anemia are only felt once you land, and must deal with gravity again.
#space #astronaut #anemia #blood
https://www.sciencealert.com/space-anemia-is-real-and-scientists-just-worked-out-why
Describe myself in 5 tag words:
#mathfolk #programmer #reader #traveller #researcher
header: Cobalt Mirror (Lake Louise), photo by Paul Zizka