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

🔗 Mathematics

The Banach–Tarski paradox is a theorem in set-theoretic geometry, which states the following: Given a solid ball in 3‑dimensional space, there exists a decomposition of the ball into a finite number of disjoint subsets, which can then be put back together in a different way to yield two identical copies of the original ball. Indeed, the reassembly process involves only moving the pieces around and rotating them without changing their shape. However, the pieces themselves are not "solids" in the usual sense, but infinite scatterings of points. The reconstruction can work with as few as five pieces.

A stronger form of the theorem implies that given any two "reasonable" solid objects (such as a small ball and a huge ball), the cut pieces of either one can be reassembled into the other. This is often stated informally as "a pea can be chopped up and reassembled into the Sun" and called the "pea and the Sun paradox".

The reason the Banach–Tarski theorem is called a paradox is that it contradicts basic geometric intuition. "Doubling the ball" by dividing it into parts and moving them around by rotations and translations, without any stretching, bending, or adding new points, seems to be impossible, since all these operations ought, intuitively speaking, to preserve the volume. The intuition that such operations preserve volumes is not mathematically absurd and it is even included in the formal definition of volumes. However, this is not applicable here because in this case it is impossible to define the volumes of the considered subsets. Reassembling them reproduces a volume, which happens to be different from the volume at the start.

Unlike most theorems in geometry, the proof of this result depends in a critical way on the choice of axioms for set theory. It can be proven using the axiom of choice, which allows for the construction of non-measurable sets, i.e., collections of points that do not have a volume in the ordinary sense, and whose construction requires an uncountable number of choices.

It was shown in 2005 that the pieces in the decomposition can be chosen in such a way that they can be moved continuously into place without running into one another.

🔗 China 🔗 Food and drink 🔗 Writing systems

Biangbiang noodles (simplified Chinese: 𰻝𰻝面; traditional Chinese: 𰻞𰻞麵; pinyin: Biángbiángmiàn), alternatively known as youpo chemian (simplified Chinese: 油泼扯面; traditional Chinese: 油潑扯麵) in Chinese, are a type of Chinese noodle originating from Shaanxi cuisine. The noodles, touted as one of the "eight curiosities" of Shaanxi (陕西八大怪), are described as being like a belt, owing to their thickness and length.

Biangbiang noodles are renowned for being written using a unique character. The character is unusually complex, with the standard variant of its traditional form containing 58 strokes.

🔗 Mathematics 🔗 Statistics

The Gompertz curve or Gompertz function is a type of mathematical model for a time series, named after Benjamin Gompertz (1779–1865). It is a sigmoid function which describes growth as being slowest at the start and end of a given time period. The right-side or future value asymptote of the function is approached much more gradually by the curve than the left-side or lower valued asymptote. This is in contrast to the simple logistic function in which both asymptotes are approached by the curve symmetrically. It is a special case of the generalised logistic function. The function was originally designed to describe human mortality, but since has been modified to be applied in biology, with regard to detailing populations.

🔗 Biography 🔗 Comedy 🔗 Politics 🔗 Biography/politics and government 🔗 Politics of the United Kingdom

Count Binface is a satirical perennial candidate created by the British comedian Jonathan David Harvey in 2018. He was a candidate for Uxbridge and South Ruislip in the 2019 United Kingdom general election against the then prime minister, Boris Johnson. He also stood in the London Mayoral elections in 2021 and 2024.

In earlier elections, Harvey stood as Lord Buckethead, but was forced to change the character due to a copyright dispute with the American filmmaker Todd Durham, who created Lord Buckethead for his 1984 science fiction film Hyperspace. Since then Harvey has used the forced name change to his advantage by using the platform of Binface to promote electoral participation, with the slogan, "Make your vote COUNT".

In 2019, another individual contested the Uxbridge and South Ruislip seat as Buckethead, representing the Official Monster Raving Loony Party, to which Binface said he "look[s] forward to both the hustings and to challenging [him] to take part in a receptacle-to-receptacle debate".

When Johnson resigned as an MP in 2023, Binface again stood as a candidate in the Uxbridge and South Ruislip by-election, finishing eighth of 17. Originally standing as an independent, since 2023 his affiliation has been given as Count Binface Party on ballot papers. Count Binface plans to contest the seat of current UK prime minister, Rishi Sunak, in Richmond and Northallerton, in the 2024 general election on 4 July.

Clicking on the first link in the main text of a Wikipedia article, and then repeating the process for subsequent articles, would usually lead to the Philosophy article. As of February 2016, 97% of all articles in Wikipedia eventually led to the article Philosophy. The remaining articles lead to an article without any outgoing wikilinks, to pages that do not exist, or get stuck in loops. This has gone up from 94.52% in 2011.

There have been some theories on this phenomenon, with the most prevalent being the tendency for Wikipedia pages to move up a "classification chain." According to this theory, the Wikipedia Manual of Style guidelines on how to write the lead section of an article recommend that the article should start by defining the topic of the article, so that the first link of each page will naturally take the reader into a broader subject, eventually ending in wide-reaching pages such as Mathematics, Science, Language, and of course, Philosophy, nicknamed "the mother of all sciences".

🔗 Medicine 🔗 Death 🔗 Medicine/Society and Medicine

"Daughter from California" syndrome is a phrase used in the medical profession to describe a situation in which a long-lost relative arrives at the hospital at which a dying elderly relative is being treated, and insists that the medical team pursue aggressive measures to prolong the patient's life, or otherwise challenges the care the patient is being given. In his 2015 book The Conversation: A Revolutionary Plan for End-of-Life Care, American doctor Angelo Volandes ascribes this to "guilt and denial," "not necessarily what is best for the patient."

The "daughter from California" is often described as angry, articulate and informed.

Medical professionals say that because the "daughter from California" has been absent from the life and care of the elderly patient, they are frequently surprised by the scale of the patient's deterioration, and may have unrealistic expectations about what is medically feasible. They may feel guilty about having been absent, and may therefore feel motivated to reassert their role as an involved caregiver.

The phrase was first documented by a collective of gerontologists in a 1991 case report published in the Journal of the American Geriatrics Society, titled "Decision Making in the Incompetent Elderly: 'The Daughter from California Syndrome'". In the paper, Molloy and colleagues presented strategies intended to help medical staff deal with the difficult family members of mentally incompetent patients.

In California, the "daughter from California" is known as the "daughter from New York".

🔗 History of Science 🔗 Robotics

Leachim was an early example of Diphone synthetic speech and demonstrated how voice branching could be done quickly via computer discs to create understandable speech (i.e. verbal output). This method combined phonemes, words, and sentences to form verbal responsive messages when prompted by the computer. The device received attention on a world-wide basis because hundreds of articles were written about it.

🔗 Internet 🔗 Computing

BBCode ("Bulletin Board Code") is a lightweight markup language used to format messages in many Internet forum software. It was first introduced in 1998. The available "tags" of BBCode are usually indicated by square brackets ([ and ]) surrounding a keyword, and are parsed before being translated into HTML.

Avram Noam Chomsky (born December 7, 1928) is an American professor and public intellectual known for his work in linguistics, political activism, and social criticism. Sometimes called "the father of modern linguistics", Chomsky is also a major figure in analytic philosophy and one of the founders of the field of cognitive science. He is a laureate professor of linguistics at the University of Arizona and an institute professor emeritus at the Massachusetts Institute of Technology (MIT). Among the most cited living authors, Chomsky has written more than 150 books on topics such as linguistics, war, and politics. Ideologically, he aligns with anarcho-syndicalism and libertarian socialism.

Born to Ashkenazi Jewish immigrants in Philadelphia, Chomsky developed an early interest in anarchism from alternative bookstores in New York City. He studied at the University of Pennsylvania. During his postgraduate work in the Harvard Society of Fellows, Chomsky developed the theory of transformational grammar for which he earned his doctorate in 1955. That year he began teaching at MIT, and in 1957 emerged as a significant figure in linguistics with his landmark work Syntactic Structures, which played a major role in remodeling the study of language. From 1958 to 1959 Chomsky was a National Science Foundation fellow at the Institute for Advanced Study. He created or co-created the universal grammar theory, the generative grammar theory, the Chomsky hierarchy, and the minimalist program. Chomsky also played a pivotal role in the decline of linguistic behaviorism, and was particularly critical of the work of B. F. Skinner.

An outspoken opponent of U.S. involvement in the Vietnam War, which he saw as an act of American imperialism, in 1967 Chomsky rose to national attention for his anti-war essay "The Responsibility of Intellectuals". Becoming associated with the New Left, he was arrested multiple times for his activism and placed on President Richard Nixon's list of political opponents. While expanding his work in linguistics over subsequent decades, he also became involved in the linguistics wars. In collaboration with Edward S. Herman, Chomsky later articulated the propaganda model of media criticism in Manufacturing Consent, and worked to expose the Indonesian occupation of East Timor. His defense of unconditional freedom of speech, including that of Holocaust denial, generated significant controversy in the Faurisson affair of the 1980s. Chomsky's commentary on the Cambodian genocide and the Bosnian genocide also generated controversy. Since retiring from active teaching at MIT, he has continued his vocal political activism, including opposing the 2003 invasion of Iraq and supporting the Occupy movement. An anti-Zionist, Chomsky considers Israel's treatment of Palestinians to be worse than South African-style apartheid, and criticizes U.S. support for Israel.

Chomsky is widely recognized as having helped to spark the cognitive revolution in the human sciences, contributing to the development of a new cognitivistic framework for the study of language and the mind. Chomsky remains a leading critic of U.S. foreign policy, contemporary capitalism, U.S. involvement and Israel's role in the Israeli–Palestinian conflict, and mass media. Chomsky and his ideas are highly influential in the anti-capitalist and anti-imperialist movements. Since 2017, he has been Agnese Helms Haury Chair in the Agnese Nelms Haury Program in Environment and Social Justice at the University of Arizona.

🔗 Africa 🔗 Photography 🔗 Africa/South Sudan

The Vulture and the Little Girl, also known as The Struggling Girl, is a photograph by Kevin Carter which first appeared in The New York Times on 26 March 1993. It is a photograph of a frail famine-stricken boy, initially believed to be a girl, who had collapsed in the foreground with a hooded vulture eyeing him from nearby. The child was reported to be attempting to reach a United Nations feeding centre about a half mile away in Ayod, Sudan (now South Sudan), in March 1993, and to have survived the incident. The picture won the Pulitzer Prize for Feature Photography award in 1994. Carter took his own life four months after winning the prize.