Analytic Combinatorics – A Worked Example
Chris Grossack's math blog and professional website.
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The most popular blog posts about science & space on Hacker News. 2,038 posts.
Chris Grossack's math blog and professional website.
A deeper analysis of the events which caused a Kazakh airliner to go out of control over Portugal in November 2018.
Apparently MTV broadcasts a show called "16 and Pregnant," in which each show tracks a pregnant teen-ager through the final months of pregna...
AI folklore tells a story about a neural network trained to detect tanks which instead learned to detect time of day; investigating, this probably never happened.
"G’mar Chatimah Tovah” – May you be inscribed into the Book of Life
The previous pages have explained three very different methods for defining a color: (1) the measurement of the color stimulus as a spectral emittance or reflectance curve in colorimetry ; (2) the proportional responses to the stimulus by the L , M and S cones, represented as a chromaticity diagram ; and (3) the…
Whale songs were first noticed by accident, when analysts tracking Russian submarines at the height of the cold war heard cetacean interference instead. An engineer sent some recordings to Roger Payne, a biologist friend of his, who did something that proved pivotal: he played the hours-long recordings on his hi-fi at…
A quick look at the ballistics and stability of aerial fireworks.
In 1962, V. A. Antonov did some remarkable simulations showing that in Newtonian mechanics, gravitating systems can violate the usual rules of thermodynamics. Instead of reaching equilibrium they c…
(A paper presented to the 27th annual Guidance and Control Conference of the American Astronautical Society (AAS), in Breckenridge, Colorado on February 6, 2004, and designated AAS 04-064. This version includes additional illustrations and comments, and several minor corrections.)
I was unfamiliar with how mycorrhizal networks connect the roots of trees, facilitating the sharing of resources. Dr. Suzanne Simard writes: Graduate student Kevin Beiler has uncovered the extent a…
“Who in the rainbow can draw the line where the violet tint ends and the orange tint begins? Distinctly we see the difference of the colors, but where exactly does the one first blendingly enter in…
Jenny Molloy and I have been representing the Open Knowledge Foundation at the Open Science Summit and we presented the Open Research Reports (ORR) project. The slides we used are at http://dl.dropbox.com/u/6280676/orr.pptx . I expect that at some stage we’ll be on the video record (last year’s was very useful and…
Yellowstone National Park maintains a collection of sounds and videos taken in the park that are in the public domain and free for anyone to use. The collection
Deep in the archives of San Francisco-based Aquarius Records, buried between several days’ worth of “laptop glitchery” and “brutal industro-crunch,” lies this gem: Insect Noise in Stored Foodstuffs , (INRA, 2000, CD, 19:98).
Some musings on the novel "Rendezvous with Rama".
Mathematics is famously concerned with numbers . However, most of the physical quantities that we encounter in everyday experience cannot be expressed as numbers alone.
There's an optical illusion known by names like the "lunar terminator paradox". This has much discussion and descriptions online, but none made sense in my head, so I wrote this program to figure out what was going on. The paradox:
The strange interactions of Selfhood and Multiplicity
Dissolve MSG in water to form a saturated solution. Wait for small MSG crystals to form. Then, tie it to a string to let it grow bigger.
It turns out that Earth is not a planet. Asteroid 2016 H03, first spotted on April 27, 2016, by the Pan-STARRS 1 asteroid survey telescope…
Another of history's great killers is on the chopping block
Noether's theorem is an amazing result which lets physicists get conserved quantities from symmetries of the laws of nature. Time translation symmetry gives conservation of energy; space translation symmetry gives conservation of momentum; rotation symmetry gives conservation of angular momentum, and so on.
There was some wanking among the US foreign policy wonkosphere about the nuclear torpedo “accidentally” mentioned in a Russian news video. The device described in the leak is a megat…
The idea of "statistical significance" has been a basic concept in introductory statistics courses for decades. If you spend any time lookin...
Spoiler alert: I found some intriguing patterns…
Is mental illness a thing? What kind of thing is it?
Map of the cognitive science, historical from 1930 to 2020 with prehistory and future prediction. Including Psychology, Artificial Intelligence, Mathematics, Neuroscience, Biology and more.