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🔗 Computing 🔗 Mathematics 🔗 Computing/Software 🔗 Computing/Computer science

The Karatsuba algorithm is a fast multiplication algorithm. It was discovered by Anatoly Karatsuba in 1960 and published in 1962. It reduces the multiplication of two n-digit numbers to at most ${\displaystyle n^{\log _{2}3}\approx n^{1.58}}$ single-digit multiplications in general (and exactly ${\displaystyle n^{\log _{2}3}}$ when n is a power of 2). It is therefore faster than the classical algorithm, which requires ${\displaystyle n^{2}}$ single-digit products. For example, the Karatsuba algorithm requires 3¹⁰ = 59,049 single-digit multiplications to multiply two 1024-digit numbers (n = 1024 = 2¹⁰), whereas the classical algorithm requires (2¹⁰)² = 1,048,576 (a speedup of 17.75 times).

The Karatsuba algorithm was the first multiplication algorithm asymptotically faster than the quadratic "grade school" algorithm. The Toom–Cook algorithm (1963) is a faster generalization of Karatsuba's method, and the Schönhage–Strassen algorithm (1971) is even faster, for sufficiently large n.

🔗 Germany 🔗 Literature 🔗 Linguistics

"The Awful German Language" is an 1880 essay by Mark Twain published as Appendix D in A Tramp Abroad. The essay is a humorous exploration of the frustrations a native speaker of English has with learning German as a second language.

🔗 Visual arts

Mail art (also known as postal art and correspondence art) is a populist artistic movement centered on sending small scale works through the postal service. It initially developed out of what eventually became Ray Johnson's New York Correspondence School in the 1950s and the Fluxus movement in the 1960s, though it has since developed into a global movement that continues to the present.

🔗 Military history 🔗 Military history/Military science, technology, and theory 🔗 Military history/Weaponry 🔗 India 🔗 Rocketry 🔗 Military history/Asian military history 🔗 Military history/South Asian military history 🔗 India/Karnataka

Mysorean rockets were an Indian military weapon, the first iron-cased rockets successfully deployed for military use. The Mysorean army, under Hyder Ali and his son Tipu Sultan, used the rockets effectively against the British East India Company during the 1780s and 1790s. Their conflicts with the company exposed the British to this technology, which was then used to advance European rocketry with the development of the Congreve rocket in 1805.

🔗 Economics 🔗 Transport

The Downs–Thomson paradox (named after Anthony Downs and John Michael Thomson), also known as the Pigou–Knight–Downs paradox (after Arthur Cecil Pigou and Frank Knight), states that the equilibrium speed of car traffic on a road network is determined by the average door-to-door speed of equivalent journeys taken by public transport.

It is a paradox in that improvements in the road network will not reduce traffic congestion. Improvements in the road network can make congestion worse if the improvements make public transport more inconvenient or if it shifts investment, causing disinvestment in the public transport system.

🔗 Food and drink 🔗 Japan

Toilet meal (Japanese: 便所飯, benjo-meshi) is a Japanese slang term and social phenomenon referring to the act of an individual eating a meal in a toilet room. In modern Japan, some people eat alone in a bathroom for various reasons; the most common reason is that they do not wish to be seen eating alone. Other reasons include saving money from eating out, to hide from co-workers in a busy workplace, or simply because they find it more comfortable.

Since toilet meals are often solitary and clandestine, others are unlikely to be aware of its occurrence. For this reason, "toilet meals" were initially regarded as an urban legend, but subsequent investigations have confirmed the phenomenon as relatively widespread. The term "toilet meal" has even been referenced in various popular media, most notably in various Japanese television shows.

Wikiracing is a game using the online encyclopedia Wikipedia which focuses on traversing links from one page to another. It has many different variations and names, including The Wikipedia Game, Wikipedia Maze, Wikispeedia, Wikiwars, Wikipedia Ball, and Litner Ball. External websites have been created to facilitate the game.

The Seattle Times has recommended it as a good educational pastime for children and the Larchmont Gazette has said, "While I don't know any teenagers who would curl up with an encyclopedia for a good read, I hear that a lot are reading it in the process of playing the Wikipedia Game".

The Amazing Wiki Race has been an event at the TechOlympics and the Yale Freshman Olympics.

The average number of links separating any Wikipedia page from the United Kingdom page is 3.67. Other common houserules such as not using the United States page increase the difficulty of the game.

As of July 2019, a website and game known as The Wiki Game has been created, allowing players to Wikirace against each other in a server, for more points and recognition on the server. The game reached more recognition as Internet stars such as Game Grumps played it on their channels. There is a version on the App Store as well, in which players can do a variety of Wikirace styles from their phone.

🔗 United States 🔗 Organized Labour 🔗 Record Labels 🔗 United States/American music

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.

🔗 Biography 🔗 California 🔗 California/San Francisco Bay Area 🔗 Medicine 🔗 Physics 🔗 Women scientists 🔗 Biography/science and academia 🔗 Women's History 🔗 Physics/Biographies 🔗 Medicine/Radiology

Elizabeth Fleischman-Aschheim (née Fleischman 5 March 1867 – 3 August 1905) was an American radiographer who is considered an X-ray pioneer. Fleischman was the first woman to die as a result of X-ray radiation exposure.