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🔗 Wikipedia: Long-Term Abuse
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- "Wikipedia's LTA (Long Term Abuse) List" | 2025-04-29 | 30 Upvotes 2 Comments
- "Wikipedia: Long-Term Abuse" | 2022-07-17 | 195 Upvotes 86 Comments
🔗 Schönhage–Strassen Algorithm
The Schönhage–Strassen algorithm is an asymptotically fast multiplication algorithm for large integers. It was developed by Arnold Schönhage and Volker Strassen in 1971. The run-time bit complexity is, in Big O notation, for two n-digit numbers. The algorithm uses recursive fast Fourier transforms in rings with 2n+1 elements, a specific type of number theoretic transform.
The Schönhage–Strassen algorithm was the asymptotically fastest multiplication method known from 1971 until 2007, when a new method, Fürer's algorithm, was announced with lower asymptotic complexity; however, Fürer's algorithm currently only achieves an advantage for astronomically large values and is used only in Basic Polynomial Algebra Subprograms (BPAS) (see Galactic algorithms).
In practice the Schönhage–Strassen algorithm starts to outperform older methods such as Karatsuba and Toom–Cook multiplication for numbers beyond 2215 to 2217 (10,000 to 40,000 decimal digits). The GNU Multi-Precision Library uses it for values of at least 1728 to 7808 64-bit words (33,000 to 150,000 decimal digits), depending on architecture. There is a Java implementation of Schönhage–Strassen which uses it above 74,000 decimal digits.
Applications of the Schönhage–Strassen algorithm include mathematical empiricism, such as the Great Internet Mersenne Prime Search and computing approximations of π, as well as practical applications such as Kronecker substitution, in which multiplication of polynomials with integer coefficients can be efficiently reduced to large integer multiplication; this is used in practice by GMP-ECM for Lenstra elliptic curve factorization.
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- "Schönhage–Strassen Algorithm" | 2022-07-14 | 58 Upvotes 7 Comments
🔗 Klemperer rosette
A Klemperer rosette is a gravitational system of heavier and lighter bodies orbiting in a regular repeating pattern around a common barycenter. It was first described by W. B. Klemperer in 1962, and is a special case of a central configuration.
Klemperer described the system as follows:
Such symmetry is also possessed by a peculiar family of geometrical configurations which may be described as 'rosettes'. In these an even number of 'planets' of two (or more) kinds, one (or some) heavier than the other, but all of each set of equal mass, are placed at the corners of two (or more) interdigitating regular polygons so that the lighter and heavier ones alternate (or follow each other in a cyclic manner).
The simplest rosette would be a series of four alternating heavier and lighter bodies, 90 degrees from one another, in a rhombic configuration [Heavy, Light, Heavy, Light], where the two larger bodies have the same mass, and likewise the two smaller bodies have the same mass. The number of "mass types" can be increased, so long as the arrangement pattern is cyclic: e.g. [ 1,2,3 ... 1,2,3 ], [ 1,2,3,4,5 ... 1,2,3,4,5 ], [ 1,2,3,3,2,1 ... 1,2,3,3,2,1 ], etc.
Klemperer also mentioned octagonal and rhombic rosettes. While all Klemperer rosettes are vulnerable to destabilization, the hexagonal rosette has extra stability because the "planets" sit in each other's L4 and L5 Lagrangian points.
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- "Klemperer rosette" | 2022-07-14 | 42 Upvotes 1 Comments
🔗 Bouvier Affair
The Bouvier Affair was a number of international lawsuits that started in 2015, and subsequent events. The lawsuits allege that Swiss art shipper and dealer Yves Bouvier defrauded his clients by misrepresenting the original cost of art works and subsequently overcharging them. The affair has played out in courts in Monaco, Switzerland, France, the US, Hong Kong and Singapore.
The alleged victims are "high net worth individuals" in the UK, the US, Asia and Europe, most notably Monaco-based Russian oligarch Dmitry Rybolovlev.
As of February 2018, Bouvier was facing criminal charges in France, Monaco and also in Switzerland after the Geneva Prosecutor opened a new case there.
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- "Bouvier Affair" | 2022-07-11 | 34 Upvotes 13 Comments
🔗 Ten Percent of the Brain Myth
The 10 percent of the brain myth asserts that humans generally use only 10 percent (or some other small percentage) of their brains. It has been misattributed to many celebrated people, notably Albert Einstein. By extrapolation, it is suggested that a person may harness this unused potential and increase intelligence.
Changes in grey and white matter following new experiences and learning have been shown, but it has not yet been proven what the changes are. The popular notion that large parts of the brain remain unused, and could subsequently be "activated", rests in folklore and not science. Though specific mechanisms regarding brain function remain to be fully described—e.g. memory, consciousness—the physiology of brain mapping suggests that all areas of the brain have a function and that they are used nearly all the time.
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- "Ten Percent of the Brain Myth" | 2022-07-12 | 113 Upvotes 128 Comments
🔗 Toxic squash syndrome
Cucurbitacin is a class of biochemical compounds that some plants – notably members of the pumpkin and gourd family, Cucurbitaceae – produce and which function as a defence against herbivores. Cucurbitacins are chemically classified as triterpenes, formally derived from cucurbitane, a triterpene hydrocarbon – specifically, from the unsaturated variant cucurbit-5-ene, or 19(10→9β)-abeo-10α-lanost-5-ene. They often occur as glycosides. They and their derivatives have been found in many plant families (including Brassicaceae, Cucurbitaceae, Scrophulariaceae, Begoniaceae, Elaeocarpaceae, Datiscaceae, Desfontainiaceae, Polemoniaceae, Primulaceae, Rubiaceae, Sterculiaceae, Rosaceae, and Thymelaeaceae), in some mushrooms (including Russula and Hebeloma) and even in some marine mollusks.
Cucurbitacins may be a taste deterrent in plants foraged by some animals and in some edible plants preferred by humans, like cucumbers and zucchinis. In laboratory research, cucurbitacins have cytotoxic properties and are under study for their potential biological activities.
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- "Toxic squash syndrome" | 2022-07-09 | 64 Upvotes 51 Comments
🔗 Electret
An electret (formed of as a portmanteau of electr- from "electricity" and -et from "magnet") is a dielectric material that has a quasi-permanent electric charge or dipole polarisation. An electret generates internal and external electric fields, and is the electrostatic equivalent of a permanent magnet. Although Oliver Heaviside coined this term in 1885, materials with electret properties were already known to science and had been studied since the early 1700s. One particular example is the electrophorus, a device consisting of a slab with electret properties and a separate metal plate. The electrophorus was originally invented by Johan Carl Wilcke in Sweden and again by Alessandro Volta in Italy.
The name derives from "electron" and "magnet"; drawing analogy to the formation of a magnet by alignment of magnetic domains in a piece of iron. Historically, electrets were made by first melting a suitable dielectric material such as a polymer or wax that contains polar molecules, and then allowing it to re-solidify in a powerful electrostatic field. The polar molecules of the dielectric align themselves to the direction of the electrostatic field, producing a dipole electret with a permanent electrostatic bias. Modern electrets are usually made by embedding excess charges into a highly insulating dielectric, e.g. by means of an electron beam, corona discharge, injection from an electron gun, electric breakdown across a gap, or a dielectric barrier.
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- "Electret" | 2022-07-07 | 67 Upvotes 20 Comments
🔗 The first motion picture production studio: Edison’s Black Maria
The Black Maria ( mə-RY-ə) was Thomas Edison's film production studio in West Orange, New Jersey. It was the world's first film studio.
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- "The first motion picture production studio: Edison’s Black Maria" | 2022-07-05 | 21 Upvotes 8 Comments
🔗 Quebec Sovereignty Movement
The Quebec sovereignty movement (French: Mouvement souverainiste du Québec) is a political movement whose objective is to achieve the sovereignty of Quebec, a province of Canada since 1867, including in all matters related to any provision of Quebec's public order that is applicable on its territory. Sovereignists suggest that the people of Quebec make use of their right to self-determination – a principle that includes the possibility of choosing between integration with a third state, political association with another state or independence – so that Quebecois, collectively and by democratic means, give themselves a sovereign state with its own independent constitution.
Quebec sovereignists believe that with such a sovereign state, the Quebec nation will be better equipped to promote its own economic, social, ecological and cultural development. Quebec's sovereignist movement is based on Quebec nationalism.
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- "Quebec Sovereignty Movement" | 2022-07-06 | 50 Upvotes 101 Comments
🔗 1942–1944 Musicians' Strike
On August 1, 1942, the American Federation of Musicians, at the instigation of union president James C. Petrillo, began a strike against the major American record companies because of disagreements over royalty payments. Beginning at midnight, July 31, 1942, no union musician could make commercial recordings for any commercial record company. That meant that a union musician was allowed to participate on radio programs and other kinds of musical entertainment, but not in a recording session. The 1942–1944 musicians' strike remains the longest strike in entertainment history.
The strike did not affect musicians performing on live radio shows, in concerts, or, after October 27, 1943, on special recordings made by the record companies for V-Discs for distribution to the armed forces fighting World War II, because V-Discs were not available to the general public. However, the union did frequently threaten to withdraw musicians from the radio networks to punish individual network affiliates who were deemed "unfair" for violating the union's policy on recording network shows for repeat broadcasts.
The strike had a major impact on the American musical scene. At the time, union bands dominated popular music; after the strike, and partly as a result of it, the big bands began to decline and vocalists began to dominate popular music.
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- "1942–1944 Musicians' Strike" | 2022-07-04 | 63 Upvotes 23 Comments