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Advances in polynomial algebra were made by mathematicians during the Yuan era. The mathematician Zhu Shijie (1249–1314) solved simultaneous equations with up to four unknowns using a rectangular array of coefficients, equivalent to modern matrices. Zhu used a method of elimination to reduce the simultaneous equations to a single equation with only one unknown. His method is described in the Jade Mirror of the Four Unknowns, written in 1303. The opening pages contain a diagram of Pascal's triangle. The summation of a finite arithmetic series is also covered in the book.
When was Zhu Shijie born?
[ "1249", "1249", "1249" ]
[ 110, 110, 110 ]
[ "5728804b4b864d1900164a46", "5728804b4b864d1900164a46", "5728804b4b864d1900164a46" ]
[ "Yuan_dynasty", "Yuan_dynasty", "Yuan_dynasty" ]
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The normal force is due to repulsive forces of interaction between atoms at close contact. When their electron clouds overlap, Pauli repulsion (due to fermionic nature of electrons) follows resulting in the force that acts in a direction normal to the surface interface between two objects.:93 The normal force, for example, is responsible for the structural integrity of tables and floors as well as being the force that responds whenever an external force pushes on a solid object. An example of the normal force in action is the impact force on an object crashing into an immobile surface.
What is the repulsive force of close range atom interaction?
[ "normal force", "normal force", "normal force", "normal force" ]
[ 4, 4, 4, 4 ]
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Overactive immune responses comprise the other end of immune dysfunction, particularly the autoimmune disorders. Here, the immune system fails to properly distinguish between self and non-self, and attacks part of the body. Under normal circumstances, many T cells and antibodies react with "self" peptides. One of the functions of specialized cells (located in the thymus and bone marrow) is to present young lymphocytes with self antigens produced throughout the body and to eliminate those cells that recognize self-antigens, preventing autoimmunity.
Where are the specialized cells that eliminate cells that recognize self-antigens located?
[ "thymus and bone marrow", "thymus and bone marrow", "thymus and bone marrow" ]
[ 366, 366, 366 ]
[ "5729fe5c3f37b31900478631", "5729fe5c3f37b31900478631", "5729fe5c3f37b31900478631" ]
[ "Immune_system", "Immune_system", "Immune_system" ]
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French irregular forces (Canadian scouts and Indians) harassed Fort William Henry throughout the first half of 1757. In January they ambushed British rangers near Ticonderoga. In February they launched a daring raid against the position across the frozen Lake George, destroying storehouses and buildings outside the main fortification. In early August, Montcalm and 7,000 troops besieged the fort, which capitulated with an agreement to withdraw under parole. When the withdrawal began, some of Montcalm's Indian allies, angered at the lost opportunity for loot, attacked the British column, killing and capturing several hundred men, women, children, and slaves. The aftermath of the siege may have contributed to the transmission of smallpox into remote Indian populations; as some Indians were reported to have traveled from beyond the Mississippi to participate in the campaign and returned afterward having been exposed to European carriers.
During withdrawal from Fort William Henry, what did some Indian enemies of French do?
[ "" ]
[ -1 ]
[ "5ad3b826604f3c001a3fee4b" ]
[ "French_and_Indian_War" ]
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Consultant pharmacy practice focuses more on medication regimen review (i.e. "cognitive services") than on actual dispensing of drugs. Consultant pharmacists most typically work in nursing homes, but are increasingly branching into other institutions and non-institutional settings. Traditionally consultant pharmacists were usually independent business owners, though in the United States many now work for several large pharmacy management companies (primarily Omnicare, Kindred Healthcare and PharMerica). This trend may be gradually reversing as consultant pharmacists begin to work directly with patients, primarily because many elderly people are now taking numerous medications but continue to live outside of institutional settings. Some community pharmacies employ consultant pharmacists and/or provide consulting services.
What is consultant pharmacy not concerned with?
[ "" ]
[ -1 ]
[ "5a6ce6164eec6b001a80a69a" ]
[ "Pharmacy" ]
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Notable faculty in physics have included the speed of light calculator A. A. Michelson, elementary charge calculator Robert A. Millikan, discoverer of the Compton Effect Arthur H. Compton, the creator of the first nuclear reactor Enrico Fermi, "the father of the hydrogen bomb" Edward Teller, "one of the most brilliant and productive experimental physicists of the twentieth century" Luis Walter Alvarez, Murray Gell-Mann who introduced the quark, second female Nobel laureate Maria Goeppert-Mayer, the youngest American winner of the Nobel Prize Tsung-Dao Lee, and astrophysicist Subrahmanyan Chandrasekhar.
Who is also known at the father of the hydrogen bomb?
[ "Edward Teller", "Edward Teller", "Edward Teller" ]
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[ "572872dd2ca10214002da381", "572872dd2ca10214002da381", "572872dd2ca10214002da381" ]
[ "University_of_Chicago", "University_of_Chicago", "University_of_Chicago" ]
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Other green spaces in the city include the Botanic Garden and the University Library garden. They have extensive botanical collection of rare domestic and foreign plants, while a palm house in the New Orangery displays plants of subtropics from all over the world. Besides, within the city borders, there are also: Pole Mokotowskie (a big park in the northern Mokotów, where was the first horse racetrack and then the airport), Park Ujazdowski (close to the Sejm and John Lennon street), Park of Culture and Rest in Powsin, by the southern city border, Park Skaryszewski by the right Vistula bank, in Praga. The oldest park in Praga, the Praga Park, was established in 1865–1871 and designed by Jan Dobrowolski. In 1927 a zoological garden (Ogród Zoologiczny) was established on the park grounds, and in 1952 a bear run, still open today.
When was a zoological garden established in the Powsin Park?
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News of the two battles reached England in August. After several months of negotiations, the government of the Duke of Newcastle decided to send an army expedition the following year to dislodge the French. They chose Major General Edward Braddock to lead the expedition. Word of the British military plans leaked to France well before Braddock's departure for North America. In response, King Louis XV dispatched six regiments to New France under the command of Baron Dieskau in 1755. The British, intending to blockade French ports, sent out their fleet in February 1755, but the French fleet had already sailed. Admiral Edward Hawke detached a fast squadron to North America in an attempt to intercept the French.
What was the goal of Braddock's expedition?
[ "dislodge the French", "dislodge the French", "dislodge the French", "dislodge the French" ]
[ 186, 186, 186, 186 ]
[ "5733f410d058e614000b6663", "5733f410d058e614000b6663", "5733f410d058e614000b6663", "5733f410d058e614000b6663" ]
[ "French_and_Indian_War", "French_and_Indian_War", "French_and_Indian_War", "French_and_Indian_War" ]
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For a precise definition of what it means to solve a problem using a given amount of time and space, a computational model such as the deterministic Turing machine is used. The time required by a deterministic Turing machine M on input x is the total number of state transitions, or steps, the machine makes before it halts and outputs the answer ("yes" or "no"). A Turing machine M is said to operate within time f(n), if the time required by M on each input of length n is at most f(n). A decision problem A can be solved in time f(n) if there exists a Turing machine operating in time f(n) that solves the problem. Since complexity theory is interested in classifying problems based on their difficulty, one defines sets of problems based on some criteria. For instance, the set of problems solvable within time f(n) on a deterministic Turing machine is then denoted by DTIME(f(n)).
What is not used for a precise definition of what it means to solve a problem using a given amount of time and space?
[ "" ]
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In the United Kingdom and several other Commonwealth countries including Australia and Canada, the use of the term is generally restricted to primary and secondary educational levels; it is almost never used of universities and other tertiary institutions. Private education in North America covers the whole gamut of educational activity, ranging from pre-school to tertiary level institutions. Annual tuition fees at K-12 schools range from nothing at so called 'tuition-free' schools to more than $45,000 at several New England preparatory schools.
What term does the UK, Australia and Canada always use when referring to universities?
[ "" ]
[ -1 ]
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[ "Private_school" ]
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The exodus of Huguenots from France created a brain drain, as many Huguenots had occupied important places in society. The kingdom did not fully recover for years. The French crown's refusal to allow non-Catholics to settle in New France may help to explain that colony's slow rate of population growth compared to that of the neighbouring British colonies, which opened settlement to religious dissenters. By the time of the French and Indian War (the North American front of the Seven Years' War), a sizeable population of Huguenot descent lived in the British colonies, and many participated in the British defeat of New France in 1759-60.
What persons were not allowed to settle in New France?
[ "non-Catholics", "non-Catholics", "non-Catholics" ]
[ 200, 200, 200 ]
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[ "Huguenot", "Huguenot", "Huguenot" ]
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The historian Francis Aidan Gasquet wrote about the 'Great Pestilence' in 1893 and suggested that "it would appear to be some form of the ordinary Eastern or bubonic plague". He was able to adopt the epidemiology of the bubonic plague for the Black Death for the second edition in 1908, implicating rats and fleas in the process, and his interpretation was widely accepted for other ancient and medieval epidemics, such as the Justinian plague that was prevalent in the Eastern Roman Empire from 541 to 700 CE.
In what year was the Eastern Roman Empire established?
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Many of the farms in the Western Cape province in South Africa still bear French names. Many families, today mostly Afrikaans-speaking, have surnames indicating their French Huguenot ancestry. Examples include: Blignaut, Cilliers, de Klerk (Le Clercq), de Villiers, du Plessis, Du Preez (Des Pres), du Randt (Durand), du Toit, Duvenhage(Du Vinage), Franck, Fouche, Fourie (Fleurit), Gervais, Giliomee (Guilliaume), Gous/Gouws (Gauch), Hugo, Jordaan (Jourdan), Joubert, Kriek, Labuschagne (la Buscagne), le Roux, Lombard, Malan, Malherbe, Marais, Maree, Minnaar (Mesnard), Nel (Nell),Naude', Nortje (Nortier), Pienaar (Pinard), Retief (Retif), Rossouw (Rousseau), Taljaard (Taillard), TerBlanche, Theron, Viljoen (Villion) and Visagie (Visage). The wine industry in South Africa owes a significant debt to the Huguenots, some of whom had vineyards in France, or were brandy distillers, and used their skills in their new home.
What South African industry descended from Huguenot settlers?
[ "The wine industry", "wine", "wine industry" ]
[ 744, 748, 748 ]
[ "5710968aa58dae1900cd6a87", "5710968aa58dae1900cd6a87", "5710968aa58dae1900cd6a87" ]
[ "Huguenot", "Huguenot", "Huguenot" ]
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A function problem is a computational problem where a single output (of a total function) is expected for every input, but the output is more complex than that of a decision problem, that is, it isn't just yes or no. Notable examples include the traveling salesman problem and the integer factorization problem.
Is the output of a functional solution typically characterized by a simple or complex answer?
[ "" ]
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[ "5ad53e615b96ef001a10abde" ]
[ "Computational_complexity_theory" ]
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Even before Washington returned, Dinwiddie had sent a company of 40 men under William Trent to that point, where in the early months of 1754 they began construction of a small stockaded fort. Governor Duquesne sent additional French forces under Claude-Pierre Pecaudy de Contrecœur to relieve Saint-Pierre during the same period, and Contrecœur led 500 men south from Fort Venango on April 5, 1754. When these forces arrived at the fort on April 16, Contrecœur generously allowed Trent's small company to withdraw. He purchased their construction tools to continue building what became Fort Duquesne.
What was the fort that was being built to be named?
[ "Fort Duquesne", "Fort Duquesne", "Fort Duquesne", "Fort Duquesne.", "Fort Duquesne" ]
[ 586, 586, 586, 586, 586 ]
[ "5733f1784776f41900661577", "5733f1784776f41900661577", "5733f1784776f41900661577", "5733f1784776f41900661577", "5733f1784776f41900661577" ]
[ "French_and_Indian_War", "French_and_Indian_War", "French_and_Indian_War", "French_and_Indian_War", "French_and_Indian_War" ]
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The embargo had a negative influence on the US economy by causing immediate demands to address the threats to U.S. energy security. On an international level, the price increases changed competitive positions in many industries, such as automobiles. Macroeconomic problems consisted of both inflationary and deflationary impacts. The embargo left oil companies searching for new ways to increase oil supplies, even in rugged terrain such as the Arctic. Finding oil and developing new fields usually required five to ten years before significant production.
What did energy security do on an international level?
[ "" ]
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[ "5a38b819a4b263001a8c18c7" ]
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Legally, only non-profit trusts and societies can run schools in India. They will have to satisfy a number of infrastructure and human resource related criteria to get Recognition (a form of license) from the government. Critics of this system point out that this leads to corruption by school inspectors who check compliance and to fewer schools in a country that has the largest adult illiterate population in the world. While official data does not capture the real extent of private schooling in the country, various studies have reported unpopularity of government schools and an increasing number of private schools. The Annual Status of Education Report (ASER), which evaluates learning levels in rural India, has been reporting poorer academic achievement in government schools than in private schools. A key difference between the government and private schools is that the medium of education in private schools is English while it is the local language in government schools.
What do government schools have to do to be able to teach English?
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Dataset Card for AutoTrain Evaluator

This repository contains model predictions generated by AutoTrain for the following task and dataset:

  • Task: Question Answering
  • Model: autoevaluate/roberta-base-squad2
  • Dataset: squad_v2
  • Config: squad_v2
  • Split: validation

To run new evaluation jobs, visit Hugging Face's automatic model evaluator.

Contributions

Thanks to @lewtun for evaluating this model.

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