To stay up to date you can also follow on Mastodon.

🔗 Mathematics 🔗 Statistics

Benford's law, also called the Newcomb–Benford law, the law of anomalous numbers, or the first-digit law, is an observation about the frequency distribution of leading digits in many real-life sets of numerical data. The law states that in many naturally occurring collections of numbers, the leading significant digit is likely to be small. For example, in sets that obey the law, the number 1 appears as the leading significant digit about 30% of the time, while 9 appears as the leading significant digit less than 5% of the time. If the digits were distributed uniformly, they would each occur about 11.1% of the time. Benford's law also makes predictions about the distribution of second digits, third digits, digit combinations, and so on.

The graph to the right shows Benford's law for base 10. There is a generalization of the law to numbers expressed in other bases (for example, base 16), and also a generalization from leading 1 digit to leading n digits.

It has been shown that this result applies to a wide variety of data sets, including electricity bills, street addresses, stock prices, house prices, population numbers, death rates, lengths of rivers, physical and mathematical constants. Like other general principles about natural data—for example the fact that many data sets are well approximated by a normal distribution—there are illustrative examples and explanations that cover many of the cases where Benford's law applies, though there are many other cases where Benford's law applies that resist a simple explanation. It tends to be most accurate when values are distributed across multiple orders of magnitude, especially if the process generating the numbers is described by a power law (which are common in nature).

It is named after physicist Frank Benford, who stated it in 1938 in a paper titled "The Law of Anomalous Numbers", although it had been previously stated by Simon Newcomb in 1881.

🔗 Fishes 🔗 Psychoactive and Recreational Drugs 🔗 Altered States of Consciousness

Several species of fish are claimed to produce hallucinogenic effects when consumed. For example, Sarpa salpa, a species of sea bream, is commonly claimed to be hallucinogenic. These widely distributed coastal fish are normally found in the Mediterranean and around Spain, and along the west and south coasts of Africa. Occasionally they are found in British waters. They may induce hallucinogenic effects that are purportedly LSD-like if eaten. In 2006, two men who apparently ate the fish experienced hallucinations lasting for several days. The likelihood of hallucinations depends on the season. Sarpa salpa is known as "the fish that makes dreams" in Arabic.

Other species claimed to be capable of producing hallucinations include several species of sea chub from the genus Kyphosus. It is unclear whether the toxins are produced by the fish themselves or by marine algae in their diet. Other hallucinogenic fish are Siganus spinus, called "the fish that inebriates" in Reunion Island, and Mulloidichthys flavolineatus (formerly Mulloidichthys samoensis), called "the chief of ghosts" in Hawaii.

🔗 Books

Tsundoku (Japanese: 積ん読) is acquiring reading materials but letting them pile up in one's home without reading them.

The term originated in the Meiji era (1868–1912) as Japanese slang. It combines elements of tsunde-oku (積んでおく, to pile things up ready for later and leave) and dokusho (読書, reading books). It is also used to refer to books ready for reading later when they are on a bookshelf. As currently written, the word combines the characters for "pile up" (積) and the character for "read" (読).

The American author and bibliophile A. Edward Newton commented on a similar state.

🔗 United States 🔗 Biography 🔗 Women scientists 🔗 Biography/science and academia 🔗 Women's History 🔗 History of Science 🔗 Austria 🔗 Jewish Women 🔗 Biography/Actors and Filmmakers

Hedy Lamarr (), born Hedwig Eva Maria Kiesler (November 9, 1914 – January 19, 2000), was an Austrian-born American actress, inventor and film producer. She was part of 30 films in an acting career spanning 28 years, and co-invented an early version of frequency-hopping spread spectrum.

After a brief early film career in Czechoslovakia, including the controversial Ecstasy (1933), she fled from her husband, a wealthy Austrian ammunition manufacturer, and secretly moved to Paris. Traveling to London, she met Louis B. Mayer, head of Metro-Goldwyn-Mayer (MGM) studio, who offered her a movie contract in Hollywood, where he began promoting her as the "world's most beautiful woman".

She became a star with her performance in Algiers (1938), her first film made in the United States. Her MGM films include Lady of the Tropics (1939), Boom Town (1940), H.M. Pulham, Esq. (1941), and White Cargo (1942). Dismayed with her MGM contract, Lamarr co-founded a new production studio and starred in its films including The Strange Woman (1946), and Dishonored Lady (1947). Her greatest success was as Delilah in Cecil B. DeMille's Samson and Delilah (1949). She also acted on television before the release of her final film, The Female Animal (1958). She was honored with a star on the Hollywood Walk of Fame in 1960.

At the beginning of World War II, Lamarr and composer George Antheil developed a radio guidance system for Allied torpedoes, intended to use frequency-hopping spread spectrum technology to defeat the threat of jamming by the Axis powers. She also helped to improve aviation designs for Howard Hughes while they dated during the war. Although the US Navy did not adopt Lamarr and Antheil's invention until 1957, various spread-spectrum techniques are incorporated into Bluetooth technology and are similar to methods used in legacy versions of Wi-Fi. Recognition of the value of their work resulted in the pair being posthumously inducted into the National Inventors Hall of Fame in 2014.

The sulfur lamp (also sulphur lamp) is a highly efficient full-spectrum electrodeless lighting system whose light is generated by sulfur plasma that has been excited by microwave radiation. They are a particular type of plasma lamp, and one of the most modern. The technology was developed in the early 1990s, but, although it appeared initially to be very promising, sulfur lighting was a commercial failure by the late 1990s. Since 2005, lamps are again being manufactured for commercial use.

🔗 United States 🔗 Mass surveillance 🔗 Espionage 🔗 Companies 🔗 Military history 🔗 Military history/North American military history 🔗 Military history/United States military history 🔗 Military history/Military science, technology, and theory 🔗 Military history/Intelligence 🔗 Cryptography 🔗 Cryptography/Computer science 🔗 Switzerland 🔗 Military history/Cold War 🔗 Sweden

Crypto AG was a Swiss company specialising in communications and information security. It was secretly jointly owned by the American Central Intelligence Agency (CIA) and West German Federal Intelligence Service (BND) from 1970 until about 1993, with the CIA continuing as sole owner until about 2018. With headquarters in Steinhausen, the company was a long-established manufacturer of encryption machines and a wide variety of cipher devices.

The company had about 230 employees, had offices in Abidjan, Abu Dhabi, Buenos Aires, Kuala Lumpur, Muscat, Selsdon and Steinhausen, and did business throughout the world. The owners of Crypto AG were unknown, supposedly even to the managers of the firm, and they held their ownership through bearer shares.

The company has been criticised for selling backdoored products to benefit the American, British and German national signals intelligence agencies, the National Security Agency (NSA), the Government Communications Headquarters (GCHQ), and the BND, respectively. On 11 February 2020, The Washington Post, ZDF and SRF revealed that Crypto AG was secretly owned by the CIA in a highly classified partnership with West German intelligence, and the spy agencies could easily break the codes used to send encrypted messages. The operation was known first by the code name "Thesaurus" and later "Rubicon".

🔗 Mathematics

A person's Erdős–Bacon number is the sum of one's Erdős number—which measures the "collaborative distance" in authoring academic papers between that person and Hungarian mathematician Paul Erdős—and one's Bacon number—which represents the number of links, through roles in films, by which the person is separated from American actor Kevin Bacon. The lower the number, the closer a person is to Erdős and Bacon, which reflects a small world phenomenon in academia and entertainment.

To have a defined Erdős–Bacon number, it is necessary to have both appeared in a film and co-authored an academic paper, although this in and of itself is not sufficient.

🔗 Biography 🔗 Medicine 🔗 COVID-19 🔗 China 🔗 Biography/science and academia

Li Wenliang (Chinese: 李文亮; pinyin: Lǐ Wénliàng; 12 October 1986 – 7 February 2020) was a Chinese ophthalmologist who worked as a physician at Wuhan Central Hospital. Li warned his colleagues in December 2019 about a possible outbreak of an illness that resembled severe acute respiratory syndrome (SARS), later acknowledged as COVID-19. He became a whistleblower when his warnings were later shared publicly. On 3 January 2020, Wuhan police summoned and admonished him for "making false comments on the Internet". Li returned to work, later contracted the virus from an infected patient (who had been originally treated for glaucoma) and died from the disease on 7 February 2020, at age 33. A subsequent Chinese official inquiry exonerated him and the Communist Party formally offered a "solemn apology" to his family and revoked its admonishment of him.

🔗 Linguistics 🔗 New York (state) 🔗 New York (state)/Western New York

"Buffalo buffalo Buffalo buffalo buffalo buffalo Buffalo buffalo" is a grammatically correct sentence in American English, often presented as an example of how homonyms and homophones can be used to create complicated linguistic constructs through lexical ambiguity. It has been discussed in literature in various forms since 1967, when it appeared in Dmitri Borgmann's Beyond Language: Adventures in Word and Thought.

The sentence employs three distinct meanings of the word buffalo:

• as a proper noun to refer to a specific place named Buffalo, the city of Buffalo, New York, being the most notable;
• as a verb (uncommon in regular usage) to buffalo, meaning "to bully, harass, or intimidate" or "to baffle"; and
• as a noun to refer to the animal, bison (often called buffalo in North America). The plural is also buffalo.

An expanded form of the sentence which preserves the original word order is: "Buffalo bison, that other Buffalo bison bully, also bully Buffalo bison."

🔗 France 🔗 Economics 🔗 Cooperatives 🔗 Basque 🔗 Spain

The Mondragon Corporation is a corporation and federation of worker cooperatives based in the Basque region of Spain. It was founded in the town of Mondragon in 1956 by graduates of a local technical college. Its first product was paraffin heaters. It is the tenth-largest Spanish company in terms of asset turnover and the leading business group in the Basque Country. At the end of 2014, it employed 74,117 people in 257 companies and organizations in four areas of activity: finance, industry, retail and knowledge. By 2015, 74,335 people were employed. Mondragon cooperatives operate in accordance with the Statement on the Co-operative Identity maintained by the International Co-operative Alliance.