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π Canadian Indian residential school system
In Canada, the Indian residential school system was a network of boarding schools for Indigenous peoples which amounted to cultural genocide. The network was funded by the Canadian government's Department of Indian Affairs and administered by Christian churches. The school system was created to isolate Indigenous children from the influence of their own native culture and religion in order to assimilate them into the dominant Canadian culture.:β42β Over the course of the system's more than hundred-year existence, around 150,000 children were placed in residential schools nationally.:β2β3β By the 1930s about 30 percent of Indigenous children were believed to be attending residential schools. The number of school-related deaths remains unknown due to incomplete records. Estimates range from 3,200 to over 30,000.
The system had its origins in laws enacted before Confederation, but it was primarily active from the passage of the Indian Act in 1876, under Prime Minister Alexander MacKenzie. Under Prime Minister John A. Macdonald, the government adopted the residential industrial school system of the United States, a partnership between the government and various church organizations. An amendment to the Indian Act in 1894, under Prime Minister Mackenzie Bowell, made attendance at day schools, industrial schools, or residential schools compulsory for First Nations children. Due to the remote nature of many communities, school locations meant that for some families, residential schools were the only way to comply. The schools were intentionally located at substantial distances from Indigenous communities to minimize contact between families and their children. Indian Commissioner Hayter Reed argued for schools at greater distances to reduce family visits, which he thought counteracted efforts to assimilate Indigenous children. Parental visits were further restricted by the use of a pass system designed to confine Indigenous peoples to reserves. The last federally-funded residential school, Kivalliq Hall in Rankin Inlet, closed in 1997. Schools operated in every province and territory with the exception of New Brunswick and Prince Edward Island.
The residential school system harmed Indigenous children significantly by removing them from their families, depriving them of their ancestral languages, and exposing many of them to physical and sexual abuse. Conditions in the schools led to student malnutrition, starvation, and disease. Students were also subjected to forced enfranchisement as "assimilated" citizens that removed their legal identity as Indians. Disconnected from their families and culture and forced to speak English or French, students who attended the residential school system often graduated being unable to fit into their communities but remaining subject to racist attitudes in mainstream Canadian society. The system ultimately proved successful in disrupting the transmission of Indigenous practices and beliefs across generations. The legacy of the system has been linked to an increased prevalence of post-traumatic stress, alcoholism, substance abuse, suicide, and intergenerational trauma which persist within Indigenous communities today.
Starting in the late 2000s, the Canadian government and religious communities have begun to recognize, and issue apologies for, their respective roles in the residential school system. Prime Minister Stephen Harper offered a public apology on his behalf and that of the other federal political party leaders. Nine days prior, on June 1, 2008, the Truth and Reconciliation Commission (TRC) was established to uncover the truth about the schools. The commission gathered about 7,000 statements from residential school survivors through public and private meetings at various local, regional and national events across Canada. Seven national events held between 2008 and 2013 commemorated the experience of former students of residential schools. In 2015, the TRC concluded with the establishment of the National Centre for Truth and Reconciliation and the publication of a multi-volume report detailing the testimonies of survivors and historical documents from the time. The TRC report concluded that the school system amounted to cultural genocide. Ongoing efforts since 2021 have identified thousands of probable unmarked graves on the grounds of former residential schools, though no human remains have yet to be exhumed. During a penitential pilgrimage to Canada in July 2022, Pope Francis reiterated the apologies of the Catholic Church for its role in administering many of the residential schools, also acknowledging the system as genocide. In October 2022, the House of Commons unanimously passed a motion calling on the federal Canadian government to recognize residential schools as genocide.
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- "Canadian Indian residential school system" | 2022-11-22 | 18 Upvotes 1 Comments
π ItΓ΄ Calculus
ItΓ΄ calculus, named after Kiyosi ItΓ΄, extends the methods of calculus to stochastic processes such as Brownian motion (see Wiener process). It has important applications in mathematical finance and stochastic differential equations.
The central concept is the ItΓ΄ stochastic integral, a stochastic generalization of the RiemannβStieltjes integral in analysis. The integrands and the integrators are now stochastic processes:
where H is a locally square-integrable process adapted to the filtration generated by X (Revuz & Yor 1999, Chapter IV), which is a Brownian motion or, more generally, a semimartingale. The result of the integration is then another stochastic process. Concretely, the integral from 0 to any particular t is a random variable, defined as a limit of a certain sequence of random variables. The paths of Brownian motion fail to satisfy the requirements to be able to apply the standard techniques of calculus. So with the integrand a stochastic process, the ItΓ΄ stochastic integral amounts to an integral with respect to a function which is not differentiable at any point and has infinite variation over every time interval. The main insight is that the integral can be defined as long as the integrand H is adapted, which loosely speaking means that its value at time t can only depend on information available up until this time. Roughly speaking, one chooses a sequence of partitions of the interval from 0 to t and constructs Riemann sums. Every time we are computing a Riemann sum, we are using a particular instantiation of the integrator. It is crucial which point in each of the small intervals is used to compute the value of the function. The limit then is taken in probability as the mesh of the partition is going to zero. Numerous technical details have to be taken care of to show that this limit exists and is independent of the particular sequence of partitions. Typically, the left end of the interval is used.
Important results of ItΓ΄ calculus include the integration by parts formula and ItΓ΄'s lemma, which is a change of variables formula. These differ from the formulas of standard calculus, due to quadratic variation terms.
In mathematical finance, the described evaluation strategy of the integral is conceptualized as that we are first deciding what to do, then observing the change in the prices. The integrand is how much stock we hold, the integrator represents the movement of the prices, and the integral is how much money we have in total including what our stock is worth, at any given moment. The prices of stocks and other traded financial assets can be modeled by stochastic processes such as Brownian motion or, more often, geometric Brownian motion (see BlackβScholes). Then, the ItΓ΄ stochastic integral represents the payoff of a continuous-time trading strategy consisting of holding an amount Ht of the stock at time t. In this situation, the condition that H is adapted corresponds to the necessary restriction that the trading strategy can only make use of the available information at any time. This prevents the possibility of unlimited gains through clairvoyance: buying the stock just before each uptick in the market and selling before each downtick. Similarly, the condition that H is adapted implies that the stochastic integral will not diverge when calculated as a limit of Riemann sums (Revuz & Yor 1999, Chapter IV).
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- "ItΓ΄ Calculus" | 2023-08-03 | 22 Upvotes 3 Comments
π List of Unusual Deaths
This is a list of unusual deaths. This list includes only unique or extremely rare circumstances of death recorded throughout history, noted as being unusual by multiple sources. Oxford Dictionaries defines the word unusual as "not habitually or commonly occurring or done" and "remarkable or interesting because different from or better than others".
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- "List of Unusual Deaths" | 2013-01-03 | 21 Upvotes 4 Comments
π The Last Question
"The Last Question" is a science fiction short story by American writer Isaac Asimov. It first appeared in the November 1956 issue of Science Fiction Quarterly and was anthologized in the collections Nine Tomorrows (1959), The Best of Isaac Asimov (1973), Robot Dreams (1986), The Best Science Fiction of Isaac Asimov (1986), the retrospective Opus 100 (1969), and in Isaac Asimov: The Complete Stories, Vol. 1 (1990). While he also considered it one of his best works, βThe Last Questionβ was Asimov's favorite short story of his own authorship, and is one of a loosely connected series of stories concerning a fictional computer called Multivac. Asimov's Three Laws of Robotics, which were first formulated in 1940, outline the criteria for robotic existence in relation to humans. Humanity's relationship to Multivac is questioned on the subject of entropy. The story overlaps science fiction, theology, and philosophy. Β
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- "The Last Question" | 2022-06-08 | 314 Upvotes 164 Comments
π Claude Shannon
Claude Elwood Shannon (April 30, 1916 β February 24, 2001) was an American mathematician, electrical engineer, and cryptographer known as "the father of information theory". Shannon is noted for having founded information theory with a landmark paper, "A Mathematical Theory of Communication", that he published in 1948.
He is also well known for founding digital circuit design theory in 1937, whenβas a 21-year-old master's degree student at the Massachusetts Institute of Technology (MIT)βhe wrote his thesis demonstrating that electrical applications of Boolean algebra could construct any logical numerical relationship. Shannon contributed to the field of cryptanalysis for national defense during World War II, including his fundamental work on codebreaking and secure telecommunications.
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- "Claude Shannon" | 2009-12-03 | 25 Upvotes 12 Comments
π EURion constellation
The EURion constellation (also known as Omron rings or doughnuts) is a pattern of symbols incorporated into a number of banknote designs worldwide since about 1996. It is added to help imaging software detect the presence of a banknote in a digital image. Such software can then block the user from reproducing banknotes to prevent counterfeiting using colour photocopiers. According to research from 2004, the EURion constellation is used for colour photocopiers but probably not used in computer software. It has been reported that Adobe Photoshop will not allow editing of an image of a banknote, but in some versions this is believed to be due to a different, unknown digital watermark rather than the EURion constellation.
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- "EURion constellation" | 2016-02-14 | 155 Upvotes 25 Comments
π Women-Are-Wonderful Effect
The women-are-wonderful effect is the phenomenon found in psychological and sociological research which suggests that people associate more positive attributes with women compared to men. This bias reflects an emotional bias toward women as a general case. The phrase was coined by Alice Eagly and Antonio Mladinic in 1994 after finding that both male and female participants tend to assign positive traits to women, with female participants showing a far more pronounced bias. Positive traits were assigned to men by participants of both genders, but to a far lesser degree.
The authors supposed that the positive general evaluation of women might derive from the association between women and nurturing characteristics. This bias is suggested as a form of misandry/'benevolent misogyny', the latter being a concept within the theoretical framework of ambivalent sexism.
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- "βWomen are wonderfulβ effect" | 2022-10-12 | 175 Upvotes 205 Comments
- "Women-Are-Wonderful Effect" | 2021-08-16 | 15 Upvotes 9 Comments
π Kangina
Kangina (Dari: Ϊ©ΩΪ―ΫΩΩ, lit.β'treasure'), also called Gangina, is the traditional Afghan technique of preserving fresh fruit, particularly grapes, in airtight discs formed from mud and straw. The centuries-old technique is indigenous to Afghanistan's rural center and north, where remote communities that cannot import fresh fruit eat kangina-preserved fresh grapes throughout the winter, and merchants use kangina to safely store and transport grapes for sale at market. Grapes preserved using kangina in modern Afghanistan are typically of the thick-skinned Taifi or Kishmishi varieties, which are harvested later in the season and remain fresh in the mud vessels for up to six months.
The method, a form of passive controlled-atmosphere storage, works by sealing fruit in the clay-rich mud, restricting flow of air, moisture and microbes, much as a plastic bag would. Discs are formed from two bowl-shaped pieces, which are sculpted from mud and straw, and baked in the sun before being filled with up to 1β2 kilograms (2.2β4.4Β lb) of un-bruised fruit and sealed with more mud. They are kept dry and cool, away from direct sunlight. Gradual permeation of gas through the clay barrier allows oxygen to enter the container, keeping the grapes alive, while the elevated concentration of carbon dioxide inside the package inhibits the grapes' metabolism and prevents the growth of fungus. The grapes are prevented from drying out, and the mud absorbs liquid which would otherwise lead to bacterial and fungal growth.
The practice of storing grapes in mud and straw has been recorded as far back as the 12th century: in his Book of Agriculture, Sevillan agronomist Ibn al-'Awwam noted layering grapes with straw in mud-sealed glass containers or "cowpat bowls" as an extant technique of preservation in Andalusia.
Kangina are inexpensive, eco-friendly, and effective vessels for the preservation of fresh fruit. A 2023 study found kangina and polystyrene foam boxes to be the most effective vessels for preserving grapes. The containers are, however, heavy, unwieldy, and prone to absorbing moisture.
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- "Kangina" | 2026-03-15 | 117 Upvotes 9 Comments
π Bitchat β decentralized peer-to-peer messaging
Bitchat is a peer-to-peer encrypted messaging app developed by Jack Dorsey, coβfounder of Twitter (now X) and Block, Inc. Announced in July 2025, Bitchat enables users to send messages via Bluetooth Low Energy (BLE) mesh networks without requiring internet connections, cellular service, user accounts, or central servers. Bitchat also uses the internet-based Nostr protocol for global reach.
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- "Bitchat β decentralized peer-to-peer messaging" | 2026-02-10 | 13 Upvotes 9 Comments
π Vehicle registration plates of Native American tribes in the United States
Several Native American tribes within the United States register motor vehicles and issue license plates to those vehicles.
The legal status of these plates varies by tribe, with some being recognized by the federal government and others not. Some nations issue plates for both tribal and personal vehicles, while others issue plates only for official tribal vehicles.
Some nations' plates indicate the U.S. state with which they are most closely associated, while others do not. This variation may even exist among the nations associated with one particular state.
Federally recognized tribes may also lease vehicles through the U.S. General Services Administration under certain circumstances. Such vehicles carry U.S. government license plates.