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π Hilbert's paradox of the Grand Hotel
Hilbert's paradox of the Grand Hotel (colloquial: Infinite Hotel Paradox or Hilbert's Hotel) is a thought experiment which illustrates a counterintuitive property of infinite sets. It is demonstrated that a fully occupied hotel with infinitely many rooms may still accommodate additional guests, even infinitely many of them, and this process may be repeated infinitely often. The idea was introduced by David Hilbert in a 1924 lecture "Γber das Unendliche", reprinted in (Hilbert 2013, p.730), and was popularized through George Gamow's 1947 book One Two Three... Infinity.
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- "Hilbert's Paradox of the Grand Hotel" | 2021-06-12 | 60 Upvotes 105 Comments
- "Hilbert's paradox of the Grand Hotel" | 2015-10-21 | 26 Upvotes 27 Comments
- "Hilbert's paradox of the Grand Hotel" | 2009-06-13 | 14 Upvotes 37 Comments
π Overlapping Markup
In markup languages and the digital humanities, overlap occurs when a document has two or more structures that interact in a non-hierarchical manner. A document with overlapping markup cannot be represented as a tree. This is also known as concurrent markup. Overlap happens, for instance, in poetry, where there may be a metrical structure of feet and lines; a linguistic structure of sentences and quotations; and a physical structure of volumes and pages and editorial annotations.
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- "Overlapping Markup" | 2022-12-12 | 92 Upvotes 47 Comments
π Direct Fusion Drive
Direct Fusion Drive (DFD) is a conceptual low radioactivity, nuclear-fusion rocket engine designed to produce both thrust and electric power for interplanetary spacecraft. The concept is based on the Princeton field-reversed configuration reactor invented in 2002 by Samuel A. Cohen, and is being modeled and experimentally tested at Princeton Plasma Physics Laboratory, a US Department of Energy facility, and modeled and evaluated by Princeton Satellite Systems. As of 2018, the concept has moved on to Phase II to further advance the design.
Discussed on
- "Direct Fusion Drive" | 2020-09-17 | 23 Upvotes 2 Comments
π Mpemba Effect
The Mpemba effect is a process in which hot water can freeze faster than cold water. The phenomenon is temperature-dependent. There is disagreement about the parameters required to produce the effect and about its theoretical basis.
The Mpemba effect is named after Tanzanian scientist Erasto Bartholomeo Mpemba (b.1950) who discovered it in 1963. There were preceding ancient accounts of similar phenomena, but these lacked sufficient detail to attempt verification.
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- "Mpemba effect β Hot water freezes faster" | 2019-11-11 | 17 Upvotes 3 Comments
- "Mpemba effect: warmer water can freeze faster than colder water" | 2016-05-08 | 91 Upvotes 38 Comments
- "Mpemba effect: warmer water can freeze faster than colder water" | 2013-04-27 | 32 Upvotes 25 Comments
- "The Mpemba Effect" | 2009-12-13 | 36 Upvotes 15 Comments
π Mojibake
Mojibake (Japanese: ζεεγ; IPA:Β [modΝ‘Κibake]) is the garbled text that is the result of text being decoded using an unintended character encoding. The result is a systematic replacement of symbols with completely unrelated ones, often from a different writing system.
This display may include the generic replacement character ("οΏ½") in places where the binary representation is considered invalid. A replacement can also involve multiple consecutive symbols, as viewed in one encoding, when the same binary code constitutes one symbol in the other encoding. This is either because of differing constant length encoding (as in Asian 16-bit encodings vs European 8-bit encodings), or the use of variable length encodings (notably UTF-8 and UTF-16).
Failed rendering of glyphs due to either missing fonts or missing glyphs in a font is a different issue that is not to be confused with mojibake. Symptoms of this failed rendering include blocks with the code point displayed in hexadecimal or using the generic replacement character. Importantly, these replacements are valid and are the result of correct error handling by the software.
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- "Mojibake" | 2022-10-02 | 95 Upvotes 34 Comments
π Galilean Moons and Determination of Longitude
The Galilean moons (), or Galilean satellites, are the four largest moons of Jupiter: Io, Europa, Ganymede, and Callisto. They are the most readily visible Solar System objects after Saturn, the dimmest of the classical planets; though their closeness to bright Jupiter makes naked-eye observation very difficult, they are readily seen with common binoculars, even under night sky conditions of high light pollution. The invention of the telescope enabled the discovery of the moons in 1610. Through this, they became the first Solar System objects discovered since humans have started tracking the classical planets, and the first objects to be found to orbit any planet beyond Earth.
They are planetary-mass moons and among the largest objects in the Solar System. All four, along with Titan, Triton, and Earth's Moon, are larger than any of the Solar System's dwarf planets. The largest, Ganymede, is the largest moon in the Solar System and surpasses the planet Mercury in size (though not mass). Callisto is only slightly smaller than Mercury in size; the smaller ones, Io and Europa, are about the size of the Moon. The three inner moons β Io, Europa, and Ganymede β are in a 4:2:1 orbital resonance with each other. While the Galilean moons are spherical, all of Jupiter's remaining moons have irregular forms because they are too small for their self-gravitation to pull them into spheres.
The Galilean moons are named after Galileo Galilei, who observed them in either December 1609 or January 1610, and recognized them as satellites of Jupiter in March 1610; they remained the only known moons of Jupiter until the discovery of the fifth largest moon of Jupiter Amalthea in 1892. Galileo initially named his discovery the Cosmica Sidera ("Cosimo's stars") or Medicean Stars, but the names that eventually prevailed were chosen by Simon Marius. Marius discovered the moons independently at nearly the same time as Galileo, 8 January 1610, and gave them their present individual names, after mythological characters that Zeus seduced or abducted, which were suggested by Johannes Kepler in his Mundus Jovialis, published in 1614. Their discovery showed the importance of the telescope as a tool for astronomers by proving that there were objects in space that cannot be seen by the naked eye. The discovery of celestial bodies orbiting something other than Earth dealt a serious blow to the then-accepted (among educated Europeans) Ptolemaic world system, a geocentric theory in which everything orbits around Earth.
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- "Galilean Moons and Determination of Longitude" | 2024-09-24 | 17 Upvotes 2 Comments
π Alcohol Belts of Europe
The alcohol belts of Europe divide Europe by their traditional alcoholic beverages: beer, wine, or spirits. They do not necessarily correspond with current drinking habits, as beer has become the most popular alcoholic drink world-wide. The definitions of these belts are not completely objective.
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- "Alcohol Belts of Europe" | 2019-08-31 | 166 Upvotes 130 Comments
π Berserker Hypothesis
The berserker hypothesis, also known as the deadly probes scenario, is the idea that humans have not yet detected intelligent alien life in the universe because it has been systematically destroyed by a series of lethal Von Neumann probes. The hypothesis is named after the Berserker series of novels (1963-2005) written by Fred Saberhagen.
The hypothesis has no single known proposer, and instead is thought to have emerged over time in response to the HartβTipler conjecture, or the idea that an absence of detectable Von Neumann probes is contrapositive evidence that no intelligent life exists outside of the Sun's Solar System. According to the berserker hypothesis, an absence of such probes is not evidence of life's absence, since interstellar probes could "go berserk" and destroy other civilizations, before self-destructing.
In his 1983 paper "The Great Silence", astronomer David Brin summarized the frightening implications of the berserker hypothesis: it is entirely compatible with all the facts and logic of the Fermi paradox, but would mean that there exists no intelligent life left to be discovered. In the worst-case scenario, humanity has already alerted others to its existence, and is next in line to be destroyed.
There is no need to struggle to suppress the elements of the Drake equation in order to explain the Great Silence, nor need we suggest that no [intelligent aliens] anywhere would bear the cost of interstellar travel. It need only happen once for the results of this scenario to become the equilibrium conditions in the Galaxy. We would not have detected extra-terrestrial radio traffic β nor would any [intelligent aliens] have ever settled on Earth β because all were killed shortly after discovering radio.
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- "Berserker Hypothesis" | 2023-07-14 | 12 Upvotes 8 Comments
π RFC-1149: IP over Avian Carriers
In computer networking, IP over Avian Carriers (IPoAC) is a proposal to carry Internet Protocol (IP) traffic by birds such as homing pigeons. IP over Avian Carriers was initially described in RFC 1149, a Request for Comments (RFC) issued by the Internet Engineering Task Force (IETF), written by D. Waitzman, and released on April 1, 1990. It is one of several April Fools' Day Request for Comments.
Waitzman described an improvement of his protocol in RFC 2549, IP over Avian Carriers with Quality of Service (1 April 1999). Later, in RFC 6214βreleased on 1 April 2011, and 13 years after the introduction of IPv6βBrian Carpenter and Robert Hinden published Adaptation of RFC 1149 for IPv6.
IPoAC has been successfully implemented, but for only nine packets of data, with a packet loss ratio of 55% (due to operator error), and a response time ranging from 3,000 seconds (β54 minutes) to over 6,000 seconds (β1.77 hours). Thus, this technology suffers from poor latency. Nevertheless, for large transfers, avian carriers are capable of high average throughput when carrying flash memory devices, effectively implementing a sneakernet. During the last 20 years, the information density of storage media and thus the bandwidth of an avian carrier has increased 3 times as fast as the bandwidth of the Internet. IPoAC may achieve bandwidth peaks of orders of magnitude more than the Internet when used with multiple avian carriers in rural areas. For example: If 16 homing pigeons are given eight 512Β GB SD cards each, and take an hour to reach their destination, the throughput of the transfer would be 145.6 Gbit/s, excluding transfer to and from the SD cards.
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- "IP over Avian Carriers" | 2021-05-24 | 16 Upvotes 1 Comments
- "RFC-1149: IP over Avian Carriers" | 2019-06-05 | 186 Upvotes 82 Comments
- "IP over Avian Carriers" | 2017-06-11 | 44 Upvotes 6 Comments
π Anti-Intellectualism
Anti-intellectualism is hostility to and mistrust of intellect, intellectuals, and intellectualism, commonly expressed as deprecation of education and philosophy and the dismissal of art, literature, history, and science as impractical, politically motivated, and even contemptible human pursuits. Anti-intellectuals may present themselves and be perceived as champions of common folkβpopulists against political and academic elitismβand tend to see educated people as a status class that dominates political discourse and higher education while being detached from the concerns of ordinary people.
Totalitarian governments have, in the past, manipulated and applied anti-intellectualism to repress political dissent. During the Spanish Civil War (1936β1939) and the following dictatorship (1939β1975) of General Francisco Franco, the reactionary repression of the White Terror (1936β1945) was notably anti-intellectual, with most of the 200,000 civilians killed being the Spanish intelligentsia, the politically active teachers and academics, artists and writers of the deposed Second Spanish Republic (1931β1939). During the Cambodian genocide (1975β1979), the totalitarian regime of Cambodia led by Pol Pot nearly destroyed its entire educated population.
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- "Anti-Intellectualism" | 2025-02-01 | 42 Upvotes 9 Comments