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🔗 Brazil 🔗 Portugal 🔗 Catholicism 🔗 Indigenous peoples of the Americas 🔗 Brazil/History of Brazil 🔗 Spain 🔗 South America 🔗 South America/Paraguay

The Jesuit reductions were a type of settlement for indigenous people specifically in the Rio Grande do Sul area of Brazil, Paraguay and neighbouring Argentina in South America, established by the Jesuit Order early in the 17th century and wound up in the 18th century with the banning of the Jesuit order in several European countries. Subsequently, it has been called an experiment in "socialist theocracy" or a rare example of "benign colonialism".

In their newly acquired South American dominions, the Spanish and Portuguese Empires had adopted a strategy of gathering native populations into communities called "Indian reductions" (Spanish: reducciones de indios) and Portuguese: redução (plural reduções). The objectives of the reductions were to impart Christianity and European culture. Secular as well as religious authorities created "reductions".

The Jesuit reductions were Christian missions that extended successfully in an area straddling the borders of present-day Paraguay, Brazil, and Argentina (the triple frontera) amongst the Guaraní peoples. The reductions are often called collectively the Río de la Plata missions. The Jesuits attempted to create a "state within a state" in which the native peoples in the reductions, guided by the Jesuits, would remain autonomous and isolated from Spanish colonists and Spanish rule. A major factor attracting the natives to the reductions was the protection they afforded from enslavement and the forced labour of encomiendas.

Under the leadership of both the Jesuits and native caciques, the reductions achieved a high degree of autonomy within the Spanish colonial empire. With the use of native labour, the reductions became economically successful. When the incursions of Brazilian Bandeirante slave-traders threatened the existence of the reductions, Indian militias were set up, which fought effectively against the Portuguese colonists. However, directly as a result of the Suppression of the Society of Jesus in several European countries, including Spain, in 1767, the Jesuits were expelled from the Guaraní missions (and the Americas) by order of the Spanish king, Charles III. So ended the era of the Paraguayan reductions. The reasons for the expulsion related more to politics in Europe than the activities of the Jesuit missions themselves.

The Jesuit Rio de la Plata reductions reached a maximum population of 141,182 in 1732 in 30 missions in Brazil, Paraguay, and Argentina. The reductions of the Jesuit Missions of Chiquitos in eastern Bolivia reached a maximum population of 25,000 in 1766. Jesuit reductions in the Llanos de Moxos, also in Bolivia, reached a population of about 30,000 in 1720. In Chiquitos, the first reduction was founded in 1691 and in the Llanos de Moxos in 1682.

The Jesuit reductions have been lavishly praised as a "socialist utopia" and a "Christian communistic republic" as well as criticized for their "rigid, severe and meticulous regimentation" of the lives of the Indian people they ruled with a firm hand through Guaraní intermediaries.

🔗 Cryptography 🔗 Cryptography/Computer science

In cryptography, nothing-up-my-sleeve numbers are any numbers which, by their construction, are above suspicion of hidden properties. They are used in creating cryptographic functions such as hashes and ciphers. These algorithms often need randomized constants for mixing or initialization purposes. The cryptographer may wish to pick these values in a way that demonstrates the constants were not selected for a nefarious purpose, for example, to create a backdoor to the algorithm. These fears can be allayed by using numbers created in a way that leaves little room for adjustment. An example would be the use of initial digits from the number π as the constants. Using digits of π millions of places after the decimal point would not be considered trustworthy because the algorithm designer might have selected that starting point because it created a secret weakness the designer could later exploit—though even with natural-seeming selections, enough entropy exists in the possible choices that the utility of these numbers has been questioned.

Digits in the positional representations of real numbers such as π, e, and irrational roots are believed to appear with equal frequency (see normal number). Such numbers can be viewed as the opposite extreme of Chaitin–Kolmogorov random numbers in that they appear random but have very low information entropy. Their use is motivated by early controversy over the U.S. Government's 1975 Data Encryption Standard, which came under criticism because no explanation was supplied for the constants used in its S-box (though they were later found to have been carefully selected to protect against the then-classified technique of differential cryptanalysis). Thus a need was felt for a more transparent way to generate constants used in cryptography.

"Nothing up my sleeve" is a phrase associated with magicians, who sometimes preface a magic trick by holding open their sleeves to show they have no objects hidden inside.

🔗 Linguistics 🔗 Antarctica 🔗 Languages 🔗 English Language

Antarctic English is a variety of the English language spoken by people living on the continent of Antarctica and within the subantarctic islands.^: vii Spoken primarily by scientists and workers in the Antarctic tourism industry, it consists of various unique words and is spoken with a unique accent. During the 19th and 20th centuries, Antarctic English was influenced by Spanish-speaking South Americans and Northern European explorers who introduced new words that continue to be used today.

🔗 Mathematics

The gömböc (Hungarian: [ˈɡømbøt͡s]) is a convex three-dimensional homogeneous body that when resting on a flat surface has just one stable and one unstable point of equilibrium. Its existence was conjectured by the Russian mathematician Vladimir Arnold in 1995 and proven in 2006 by the Hungarian scientists Gábor Domokos and Péter Várkonyi. The gömböc shape is not unique; it has countless varieties, most of which are very close to a sphere and all with a very strict shape tolerance (about 0.1 mm per 100 mm).

The most famous solution, capitalized as Gömböc to distinguish it from the generic gömböc, has a sharpened top, as shown in the photo. Its shape helped to explain the body structure of some tortoises in relation to their ability to return to equilibrium position after being placed upside down. Copies of the gömböc have been donated to institutions and museums, and the largest one was presented at the World Expo 2010 in Shanghai in China. In December 2017, a 4.5 m gömböc statue was installed in the Corvin Quarter in Budapest.

🔗 Physics

In quantum field theory, a false vacuum is a hypothetical vacuum that is relatively stable, but not in the most stable state possible. In this condition it is called metastable. It may last for a very long time in this state, but could eventually decay to the more stable one, an event known as false vacuum decay. The most common suggestion of how such a decay might happen in our universe is called bubble nucleation – if a small region of the universe by chance reached a more stable vacuum, this "bubble" (also called "bounce") would spread.

A false vacuum exists at a local minimum of energy and is therefore not completely stable, in contrast to a true vacuum, which exists at a global minimum and is stable.

🔗 Economics 🔗 Business 🔗 International development

The O-ring theory of economic development is a model of economic development put forward by Michael Kremer in 1993, which proposes that tasks of production must be executed proficiently together in order for any of them to be of high value. The key feature of this model is positive assortative matching, whereby people with similar skill levels work together.

The name comes from the 1986 Challenger shuttle disaster, a catastrophe caused by the failure of a single O-ring.

Kremer thinks that the O-ring development theory explains why rich countries produce more complicated products, have larger firms and much higher worker productivity than poor countries.

🔗 Philosophy 🔗 Philosophy/Philosophical literature 🔗 Guild of Copy Editors

"The Unreality of Time" is the best-known philosophical work of the Cambridge idealist J. M. E. McTaggart (1866–1925). In the argument, first published as a journal article in Mind in 1908, McTaggart argues that time is unreal because our descriptions of time are either contradictory, circular, or insufficient. A slightly different version of the argument appeared in 1927 as one of the chapters in the second volume of McTaggart's greatest work, The Nature of Existence.

The argument for the unreality of time is popularly treated as a stand-alone argument that does not depend on any significant metaphysical principles (e.g. as argued by C. D. Broad 1933 and L. O. Mink 1960). R. D. Ingthorsson disputes this, and argues that the argument can only be understood as an attempt to draw out certain consequences of the metaphysical system that McTaggart presents in the first volume of The Nature of Existence (Ingthorsson 1998 & 2016).

It is helpful to consider the argument as consisting of three parts. In the first part, McTaggart offers a phenomenological analysis of the appearance of time, in terms of the now famous A- and B-series (see below for detail). In the second part, he argues that a conception of time as only forming a B-series but not an A-series is an inadequate conception of time because the B-series does not contain any notion of change. The A-series, on the other hand, appears to contain change and is thus more likely to be an adequate conception of time. In the third and final part, he argues that the conception of time forming an A-series is contradictory and thus nothing can be like an A-series. Since the A- and the B- series exhaust possible conceptions of how reality can be temporal, and neither is adequate, the conclusion McTaggart reaches is that reality is not temporal at all.

🔗 Africa 🔗 Africa/Tanzania 🔗 Primates

The Gombe Chimpanzee War was a violent conflict between two communities of chimpanzees in Gombe Stream National Park in Tanzania lasting from 1974 to 1978. The two groups were once unified in the Kasakela community. By 1974, researcher Jane Goodall noticed the community splintering. Over a span of eight months, a large party of chimpanzees separated themselves into the southern area of Kasakela and were renamed the Kahama community. The separatists consisted of six adult males, three adult females and their young. The Kasakela was left with eight adult males, twelve adult females and their young.

During the four-year conflict, all males of the Kahama community were killed, effectively disbanding the community. The victorious Kasakela then expanded into further territory but were later repelled by another community of chimpanzees.

🔗 Computing 🔗 Computing/Computer hardware 🔗 Computing/Early computers

The IBM System/360 Model 67 (S/360-67) was an important IBM mainframe model in the late 1960s. Unlike the rest of the S/360 series, it included features to facilitate time-sharing applications, notably a Dynamic Address Translation unit, the "DAT box", to support virtual memory, 32-bit addressing and the 2846 Channel Controller to allow sharing channels between processors. The S/360-67 was otherwise compatible with the rest of the S/360 series.

🔗 Biography 🔗 Business 🔗 New York (state) 🔗 India 🔗 New York (state)/Cornell University 🔗 Zoroastrianism 🔗 India/Mumbai 🔗 India/Maharashtra

Ratan Tata (28 December 1937 – 9 October 2024) was an Indian industrialist and philanthropist who served as chairman of Tata Group and Tata Sons from 1990 to 2012, and then as interim chairman from October 2016 through February 2017. In 2008, he received the Padma Vibhushan, the second highest civilian honour in India. Ratan had previously received the Padma Bhushan, the third highest civilian honour, in 2000. He passed away on October 9, 2024, following a prolonged illness related to his age.

Ratan Tata was the son of Naval Tata, who was adopted by Ratanji Tata. Ratanji Tata was the son of Jamshedji Tata, the founder of the Tata Group. He graduated from the Cornell University College of Architecture with a bachelor's degree in architecture. He joined Tata in 1961, where he worked on the shop floor of Tata Steel. He later succeeded J. R. D. Tata as chairman of Tata Sons upon the latter's retirement in 1991. During his tenure, the Tata Group acquired Tetley, Jaguar Land Rover, and Corus, in an attempt to turn Tata from a largely India-centric group into a global business. Tata was also a philanthropist.

Tata was a prolific investor and invested in over 30 start-ups, most in a personal capacity and some via his investment company.