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synth_fc_2990_rep10 | Positive | School | Database update | Multi | https://en.wikipedia.org/wiki/Heapsort | 13 | In computer science, heapsort is a comparison-based sorting algorithm which can be thought of as "an implementation of selection sort using the right data structure." Like selection sort, heapsort divides its input into a sorted and an unsorted region, and it iteratively shrinks the unsorted region by extracting the largest element from it and inserting it into the sorted region. Unlike selection sort, heapsort does not waste time with a linear-time scan of the unsorted region; rather, heap sort maintains the unsorted region in a heap data structure to efficiently find the largest element in each step. Although somewhat slower in practice on most machines than a well-implemented quicksort, it has the advantages of very simple implementation and a more favorable worst-case O(n log n) runtime. Most real-world quicksort variants include an implementation of heapsort as a fallback should they detect that quicksort is becoming degenerate. Heapsort is an in-place algorithm, but it is not a stable sort. Heapsort was invented by J. W. J. Williams in 1964. The paper also introduced the binary heap as a useful data structure in its own right. In the same year, Robert W. Floyd published an improved version that could sort an array in-place, continuing his earlier research into the treesort algorithm. |
synth_fc_549_rep18 | Positive | Corporate Management | Database update | Multi | https://en.wikipedia.org/wiki/Kaziranga_National_Park | 2 | Administration
The Wildlife wing of the forest department of the Government of Assam, headquartered at Bokakhat, is responsible for the administration and management of Kaziranga. The administrative head of the park is the director, who is a Chief Conservator of Forests-level officer. A divisional Forest Officer is the administrative chief executive of the park. He is assisted by two officers with the rank of Assistant Conservator of Forests. The park area is divided into five ranges, overseen by Range Forest Officers. The five ranges are the Burapahar (HQ: Ghorakati), Western (HQ: Baguri), Central (HQ: Kohora), Eastern (HQ: Agaratoli) and Northern (HQ: Biswanath). Each range is further sub-divided into beats, headed by a forester, and sub-beats, headed by a forest guard. The official website Archived 19 June 2022 at the Wayback Machine of the Park is http://kaziranga.assam.gov.in Archived 19 June 2022 at the Wayback Machine
The park receives financial aid from the State Government as well as the Ministry of Environment, Forests & Climate Change of Government of India under various Plan and Non-Plan Budgets. Additional funding is received under the Project Elephant from the Central Government. In 1997–1998, a grant of US$ 100,000 was received under the Technical Co-operation for Security Reinforcement scheme from the World Heritage Fund. Additional funding is also received from national and international Non-governmental organizations. |
synth_fc_562_rep1 | Positive | Corporate Management | Database search | Multi | https://en.wikipedia.org/wiki/Permutation | 17 | k -permutations of n
In older literature and elementary textbooks, a k -permutation of n (sometimes called a partial permutation, sequence without repetition, variation, or arrangement) means an ordered arrangement (list) of a k -element subset of an n -set. The number of such k -permutations (k -arrangements) of n {\displaystyle n} is denoted variously by such symbols as P k n {\displaystyle P_{k}^{n}}, n P k {\displaystyle _{n}P_{k}}, n P k {\displaystyle ^{n}\!P_{k}}, P n, k {\displaystyle P_{n,k}}, P (n, k) {\displaystyle P(n,k)}, or A n k {\displaystyle A_{n}^{k}}, computed by the formula:
which is 0 when k > n, and otherwise is equal to
The product is well defined without the assumption that n {\displaystyle n} is a non-negative integer, and is of importance outside combinatorics as well; it is known as the Pochhammer symbol (n) k {\displaystyle (n)_{k}} or as the k {\displaystyle k} -th falling factorial power n k _ {\displaystyle n^{\underline {k}}}:
P (n, k) = n P k = (n) k = n k _. {\displaystyle P(n,k)={_{n}}P_{k}=(n)_{k}=n^{\underline {k}}.}
This usage of the term permutation is closely associated with the term combination to mean a subset. A k-combination of a set S is a k- element subset of S: the elements of a combination are not ordered. Ordering the k -combinations of S in all possible ways produces the k -permutations of S. The number of k -combinations of an n -set, C (n, k), is therefore related to the number of k -permutations of n by:
These numbers are also known as binomial coefficients, usually denoted (n k) {\displaystyle {\tbinom {n}{k}}}:
C (n, k) = n C k = (n k). {\displaystyle C(n,k)={_{n}}C_{k}={\binom {n}{k}}.} |
synth_fc_2996_rep9 | Negative | School | Entity search | Single | https://en.wikipedia.org/wiki/Yale_University | 5 | Rankings
The U.S. News & World Report ranked Yale third among U.S. national universities for 2016, as it had for each of the previous sixteen years. Yale University is accredited by the New England Commission of Higher Education.
Internationally, Yale was ranked 11th in the 2016 Academic Ranking of World Universities, tenth in the 2016–17 Nature Index for quality of scientific research output, and tenth in the 2016 CWUR World University Rankings. The university was also ranked sixth in the 2016 Times Higher Education (THE) Global University Employability Rankings and eighth in the Academic World Reputation Rankings. In 2019, it ranked 27th among the universities around the world by SCImago Institutions Rankings. |
synth_fc_1172_rep15 | Positive | Finance | Feature search | Single | https://en.wikipedia.org/wiki/George_Lucas | 17 | Proceeds from the sale of Lucasfilm to Disney
In 2012, Lucas sold Lucasfilm to The Walt Disney Company for a reported sum of $4.05 billion. It was widely reported at the time that Lucas intended to give the majority of the proceeds from the sale to charity. A spokesperson for Lucasfilm said: "George Lucas has expressed his intention, in the event the deal closes, to donate the majority of the proceeds to his philanthropic endeavors." Lucas also spoke on the matter: "For 41 years, the majority of my time and money has been put into the company. As I start a new chapter in my life, it is gratifying that I have the opportunity to devote more time and resources to philanthropy." |
synth_fc_3367_rep20 | Positive | Store & Facility | Entity search | Multi | https://en.wikipedia.org/wiki/Refrigerator | 31 | Types of domestic refrigerators
Domestic refrigerators and freezers for food storage are made in a range of sizes. Among the smallest is a 4-litre (0.14 cu ft) Peltier refrigerator advertised as being able to hold 6 cans of beer. A large domestic refrigerator stands as tall as a person and may be about 1 metre (3.3 ft) wide with a capacity of 600 litres (21 cu ft). Some models for small households fit under kitchen work surfaces, usually about 86 centimetres (34 in) high. Refrigerators may be combined with freezers, either stacked with refrigerator or freezer above, below, or side by side. A refrigerator without a frozen food storage compartment may have a small section just to make ice cubes. Freezers may have drawers to store food in, or they may have no divisions (chest freezers).
Refrigerators and freezers may be free-standing, or built into a kitchen's cabinet.
Three distinct classes of refrigerator are common: |
synth_fc_1047_rep4 | Positive | Finance | Calculation | Single | https://en.wikipedia.org/wiki/Jasper_Johns | 1 | Jasper Johns is an American painter, sculptor, draftsman, and printmaker. Considered a central figure in the development of American postwar art, he has been variously associated with abstract expressionism, Neo-Dada, and pop art movements. Johns was born in Augusta, Georgia, and raised in South Carolina. He graduated as valedictorian from Edmunds High School in 1947 and briefly studied art at the University of South Carolina before moving to New York City and enrolling at Parsons School of Design. His education was interrupted by military service during the Korean War. After returning to New York in 1953, he worked at Marboro Books and began associations with key figures in the art world, including Robert Rauschenberg, with whom he had a romantic relationship until 1961. The two were also close collaborators, and Rauschenberg became a profound artistic influence. Johns's art career took a decisive turn in 1954 when he destroyed his existing artwork and began creating paintings of flags, maps, targets, letters, and numbers for which he became most recognized. These works, characterized by their incorporation of familiar symbols, marked a departure from the individualism of Abstract Expressionist style and posed questions about the nature of representation. His use of familiar imagery, such as the American flag, played on the ambiguity of symbols, and this thematic exploration continued throughout his career in various mediums, including sculpture and printmaking. Among other honors, Johns received the Golden Lion at the Venice Biennale in 1988, the National Medal of Arts in 1990, and the Presidential Medal of Freedom in 2011. He was elected to the American Academy of Arts and Letters in 1973 and the American Philosophical Society in 2007. He has supported the Merce Cunningham Dance Company and contributed significantly to the National Gallery of Art's print collection. Johns is also a co-founder of the Foundation for Contemporary Arts. He currently lives and works in Connecticut. In 2010, his 1958 painting Flag was sold for a reported $110 million in a private transaction, becoming the most expensive artwork sold by a living artist. |
synth_fc_2526_rep13 | Positive | Museum | Feature search | Single | https://en.wikipedia.org/wiki/Bogot%C3%A1 | 18 | Tourism
Travel and tourism's share of the city's overall GDP stands at 2.5%. Bogotá is responsible for 56% of the tourism that arrives to Colombia and is home to 1,423 multinational companies. Bogotá also ranked highly as a global city where business is done and meetings are held. Bogotá is a growing international meetings destination.
In 2016, Bogotá has won 50 major international events, with 12 more world-class events in progress. The 16th World Summit of Nobel Peace Laureates took place from 2 to 5 February 2017 in Bogotá, Colombia. One Young World is the preeminent global forum for young leaders, aged 18–30. Bogotá, Colombia is the host city for Summit 2017.
The hotels in the historical center of La Candelaria and its surrounding areas cater to lovers of culture and the arts. This area also has the bulk of hostels in the city as well. In La Candelaria, there are many museums, including the Botero Museum and the Gold Museum. Close to La Candelaria is the Cerro Monserrate, which you can reach by cable car or funicular. The hotels located near Ciudad Salitre are intended for visitors who make short stops in Bogotá and near El Dorado International Airport.
Important landmarks and tourist stops in Bogotá include the botanical garden José Celestino Mutis, the Quinta de Bolívar, the national observatory, the planetarium, Maloka, the Colpatria observation point, the observation point of La Calera, the monument of the American flags, and La Candelaria (the historical district of the city). There is also Usaquen, a colonial landmark where brunch and a flea market on Sundays is a traditional activity. The city has numerous green parks and amusement parks like Salitre Magico or Mundo Aventura.
Green areas surrounding Bogotá are perfect locations for eco-tourism and hiking activities. In the eastern mountains of the city, just a few minutes walking from main roads, there are Quebrada La vieja and Chapinero Waterfalls, two of many green spots for sightseeing and tourism with clean air.
There are also several areas of the city where fine restaurants can be found. The G Zone, the T Zone, and La Macarena are well known for their gastronomic offerings.
Since the 2000s, major hotel chains have established themselves in the city. Bogotá has a great cultural diversity, coming from different regions of the country, which allows tourists to know the multiculturalism of the country without the need to travel to other cities, this includes gastronomy and different festivals. |
synth_fc_103_rep4 | Positive | Biology | Entity search | Single | https://en.wikipedia.org/wiki/Breastfeeding | 38 | Postpartum bleeding
During the third stage of labor, the time between the delivery of the baby and the passage of the placenta, and the fourth, the final stage of birth, excessive blood loss can endanger the life of the mother. When the newborn nurses the mother secretes oxytocin which causes the uterus to cramp and reduce blood loss. Nursing also causes the uterus to cramp for a number of days postpartum, helping it to return to its pre-pregnancy size. Some women report moderate to severe pain, especially women who have given birth several times, during a nursing session for the first few days following delivery. |
synth_fc_948_rep28 | Positive | Finance | Calculation | Single | https://en.wikipedia.org/wiki/Policy | 1 | Policy is a deliberate system of guidelines to guide decisions and achieve rational outcomes. A policy is a statement of intent and is implemented as a procedure or protocol. Policies are generally adopted by a governance body within an organization. Policies can assist in both subjective and objective decision making. Policies used in subjective decision-making usually assist senior management with decisions that must be based on the relative merits of a number of factors, and as a result, are often hard to test objectively, e.g. work–life balance policy. Moreover, governments and other institutions have policies in the form of laws, regulations, procedures, administrative actions, incentives and voluntary practices. Frequently, resource allocations mirror policy decisions. Policy is a blueprint of the organizational activities which are repetitive/routine in nature. In contrast, policies to assist in objective decision-making are usually operational in nature and can be objectively tested, e.g. password policy. The term may apply to government, public sector organizations and groups, as well as individuals, Presidential executive orders, corporate privacy policies, and parliamentary rules of order are all examples of policy. Policy differs from rules or law. While the law can compel or prohibit behaviors, policy merely guides actions toward those that are most likely to achieve the desired outcome. Policy or policy study may also refer to the process of making important organizational decisions, including the identification of different alternatives such as programs or spending priorities, and choosing among them on the basis of the impact they will have. Policies can be understood as political, managerial, financial, and administrative mechanisms arranged to reach explicit goals. In public corporate finance, a critical accounting policy is a policy for a firm/company or an industry that is considered to have a notably high subjective element, and that has a material impact on the financial statements. It has been argued that policies ought to be evidence-based. An individual or organization is justified in claiming that a specific policy is evidence-based if, and only if, three conditions are met. First, the individual or organization possesses comparative evidence about the effects of the specific policy in comparison to the effects of at least one alternative policy. Second, the specific policy is supported by this evidence according to at least one of the individual's or organization's preferences in the given policy area. Third, the individual or organization can provide a sound account for this support by explaining the evidence and preferences that lay the foundation for the claim. Policies are dynamic; they are not just static lists of goals or laws. Policy blueprints have to be implemented, often with unexpected results. Social policies are what happens 'on the ground' when they are implemented, as well as what happens at the decision making or legislative stage. When the term policy is used, it may also refer to:
- Official government policy
- Broad ideas and goals in political manifestos and pamphlets
- A company or organization's policy on a particular topic. For example, the equal opportunity policy of a company shows that the company aims to treat all its staff equally. The actions an organization actually takes may often vary significantly from its stated policy. This difference is sometimes caused by political compromise over policy, while in other situations it is caused by lack of policy implementation and enforcement. Implementing policy may have unexpected results, stemming from a policy whose reach extends further than the problem it was originally crafted to address. Additionally, unpredictable results may arise from selective or idiosyncratic enforcement of policy. |
synth_fc_2994_rep3 | Positive | School | Database creation | Multi | https://en.wikipedia.org/wiki/Dissection | 3 | Advantages and disadvantages
Proponents of animal-free teaching methodologies argue that alternatives to animal dissection can benefit educators by increasing teaching efficiency and lowering instruction costs while affording teachers an enhanced potential for the customization and repeat-ability of teaching exercises. Those in favor of dissection alternatives point to studies which have shown that computer-based teaching methods "saved academic and nonacademic staff time … were considered to be less expensive and an effective and enjoyable mode of student learning … contributed to a significant reduction in animal use" because there is no set-up or clean-up time, no obligatory safety lessons, and no monitoring of misbehavior with animal cadavers, scissors, and scalpels.
With software and other non-animal methods, there is also no expensive disposal of equipment or hazardous material removal. Some programs also allow educators to customize lessons and include built-in test and quiz modules that can track student performance. Furthermore, animals (whether dead or alive) can be used only once, while non-animal resources can be used for many years—an added benefit that could result in significant cost savings for teachers, school districts, and state educational systems.
Several peer-reviewed comparative studies examining information retention and performance of students who dissected animals and those who used an alternative instruction method have concluded that the educational outcomes of students who are taught basic and advanced biomedical concepts and skills using non-animal methods are equivalent or superior to those of their peers who use animal-based laboratories such as animal dissection.
Some reports state that students' confidence, satisfaction, and ability to retrieve and communicate information was much higher for those who participated in alternative activities compared to dissection. Three separate studies at universities across the United States found that students who modeled body systems out of clay were significantly better at identifying the constituent parts of human anatomy than their classmates who performed animal dissection.
Another study found that students preferred using clay modeling over animal dissection and performed just as well as their cohorts who dissected animals.
In 2008, the National Association of Biology Teachers (NABT) affirmed its support for classroom animal dissection stating that they "Encourage the presence of live animals in the classroom with appropriate consideration to the age and maturity level of the students …NABT urges teachers to be aware that alternatives to dissection have their limitations. NABT supports the use of these materials as adjuncts to the educational process but not as exclusive replacements for the use of actual organisms."
The National Science Teachers Association (NSTA) "supports including live animals as part of instruction in the K-12 science classroom because observing and working with animals firsthand can spark students' interest in science as well as a general respect for life while reinforcing key concepts" of biological sciences. NSTA also supports offering dissection alternatives to students who object to the practice.
The NORINA database lists over 3,000 products which may be used as alternatives or supplements to animal use in education and training. These include alternatives to dissection in schools. InterNICHE has a similar database and a loans system. |
synth_fc_2199_rep12 | No function call | Law | Feature search | Single | https://en.wikipedia.org/wiki/P._W._Botha | 1 | Pieter Willem Botha, was a South African politician. He was the head of government of South Africa from 1978 to 1989, serving as the last prime minister of South Africa from 1978 to 1984 and the first executive state president of South Africa from 1984 to 1989. First elected to Parliament in 1948, Botha, an Afrikaner nationalist, was an opponent of black majority rule and international communism. However, his administration did make concessions towards political reform, whereas internal unrest saw widespread human rights abuses at the hands of his government. Botha resigned as leader of the ruling National Party (NP) in February 1989 after suffering a stroke and six months later was also coerced to leave the presidency. In F. W. de Klerk's 1992 apartheid referendum, Botha campaigned for a No vote and denounced De Klerk's administration as irresponsible for opening the door to black majority rule. In early 1998, when Botha refused to testify at the Mandela government's Truth and Reconciliation Commission (TRC), he was supported by the Conservative Party, which had earlier contested his rule as the official opposition. For his refusal, he was fined and given a suspended jail sentence, which was overturned on appeal due to a technicality. |
synth_fc_3603_rep25 | Positive | Travel itinerary | Calculation | Multi | https://en.wikipedia.org/wiki/Flemish_Brabant | 1 | Flemish Brabant is a province of Flanders, one of the three regions of Belgium. It borders on the Belgian provinces of Antwerp, Limburg, Liège, Walloon Brabant, Hainaut and East Flanders. Flemish Brabant also surrounds the Brussels-Capital Region. Its capital is Leuven. It has an area of 2,118 km (818 sq mi) which is divided into two administrative districts containing 65 municipalities. As of January 2024, Flemish Brabant had a population of over 1.19 million. Flemish Brabant was created in 1995 by the splitting of the former province of Brabant into three parts: two new provinces, Flemish Brabant and Walloon Brabant; and the Brussels-Capital Region, which no longer belongs to any province. The split was made to accommodate the eventual division of Belgium in three regions. The province is made up of two arrondissements. The Halle-Vilvoorde Arrondissement surrounds Brussels and is mainly a residential area, though it also contains large industrial zones and has Belgium's main airport. It is joined by the Leuven Arrondissement, centered on Leuven, the province's capital and largest city. Products of Flemish Brabant include Belgian beers. The official language of Flemish Brabant is Dutch, as in the rest of Flanders. A few municipalities are to a certain extent allowed to use French to communicate with their citizens; these are called the municipalities with language facilities. Other such special municipalities can be found along the border between Flanders and Wallonia, and between Wallonia and the German-speaking area of Belgium. Halle-Vilvoorde mostly surrounds Brussels, which is officially bilingual but whose inhabitants mostly speak French. |
synth_fc_406_rep22 | Negative | Carbon footprint | Guide | Single | https://en.wikipedia.org/wiki/Solar_energy | 23 | Squad Solar vehicle
The Squad Solar is a Neighborhood Electric Vehicle that has a solar roof and can be plugged into a normal 120 volt outlet to be charged. |
synth_fc_2726_rep6 | Positive | Music | Generation | Single | https://en.wikipedia.org/wiki/Jo%C3%A3o_Gilberto | 1 | João Gilberto was a Brazilian guitarist, singer, and composer who was a pioneer of the musical genre of bossa nova in the late 1950s. Around the world, he was often called the "father of bossa nova"; in his native Brazil, he was referred to as "O Mito".
In 1965, the album Getz/Gilberto was the first jazz record to win the Grammy Award for Album of the Year. It also won Best Jazz Instrumental Album – Individual or Group and Best Engineered Album, Non-Classical.
Nominated at the Grammy 1978 in the category Best Jazz Vocal Performance, album Amoroso, and winner category in Grammy 2001 with João voz e violão Best World Music Album. |
synth_fc_2537_rep20 | Positive | Museum | Ranking | Single | https://en.wikipedia.org/wiki/Matsushima | 1 | Matsushima (松島) is a group of islands in Miyagi Prefecture, Japan. There are some 260 tiny islands (shima) covered in pines (matsu) – hence the name – and it is considered to be one of the Three Views of Japan. Nearby cultural properties include Zuigan-ji, Entsū-in, Kanrantei, and the Satohama shell mound. |
synth_fc_2002_rep20 | Positive | History | Entity search | Single | https://en.wikipedia.org/wiki/Idi_Amin | 13 | Legacy
Gender historian Alicia Decker wrote that the "deeply embedded culture of militarism in Uganda is undoubtedly Amin's most enduring legacy." In the immediate aftermath of his deposition, war correspondent Al J Venter stated that Ugandans still spoke about Amin "with a certain amount of awe, now laced with venom". His reputation in Uganda has been viewed over the decades following his rule in more complex ways than in the international community. Some Ugandans have praised him as a "patriot" and supported his decision to expel Asians from the country. At the time of his death, he was particularly well-regarded in north-western Uganda. One of Amin's sons, Jaffar Remo, criticized the negative public perception of his father and called for a commission to investigate the veracity of the abuses committed under his rule. |
synth_fc_1560_rep17 | Positive | Geography | Database search | Single | https://en.wikipedia.org/wiki/Wind | 6 | Westerlies and their impact
The Westerlies or the Prevailing Westerlies are the prevailing winds in the middle latitudes between 35 and 65 degrees latitude. These prevailing winds blow from the west to the east, and steer extratropical cyclones in this general manner. The winds are predominantly from the southwest in the Northern Hemisphere and from the northwest in the Southern Hemisphere. They are strongest in the winter when the pressure is lower over the poles, and weakest during the summer and when pressures are higher over the poles.
Together with the trade winds, the westerlies enabled a round-trip trade route for sailing ships crossing the Atlantic and Pacific Oceans, as the westerlies lead to the development of strong ocean currents on the western sides of oceans in both hemispheres through the process of western intensification. These western ocean currents transport warm, sub-tropical water polewards toward the polar regions. The westerlies can be particularly strong, especially in the southern hemisphere, where there is less land in the middle latitudes to cause the flow pattern to amplify, which slows the winds down. The strongest westerly winds in the middle latitudes are within a band known as the Roaring Forties, between 40 and 50 degrees latitude south of the equator. The Westerlies play an important role in carrying the warm, equatorial waters and winds to the western coasts of continents, especially in the southern hemisphere because of its vast oceanic expanse. |
synth_fc_274_rep26 | Negative | Biomass | Ranking | Single | https://en.wikipedia.org/wiki/Acanthosoma | 1 | Acanthosoma is a genus of shield bugs in the family Acanthosomatidae, found in Europe, Asia, and Oceania. There are over 30 described species in the genus Acanthosoma. |
synth_fc_2741_rep5 | Positive | Physics & Chemistry | Database creation | Multi | https://en.wikipedia.org/wiki/Laser_cutting | 13 | Production and cutting rates
The maximum cutting rate (production rate) is limited by a number of factors including laser power, material thickness, process type (reactive or inert), and material properties. Common industrial systems (≥1 kW) will cut carbon steel metal from 0.51 – 13 mm in thickness. For many purposes, a laser can be up to thirty times faster than standard sawing. |
synth_fc_1165_rep12 | Positive | Finance | Calculation | Single | https://en.wikipedia.org/wiki/Gold | 27 | Extraction and refining
Gold extraction is most economical in large, easily mined deposits. Ore grades as little as 0.5 parts per million (ppm) can be economical. Typical ore grades in open-pit mines are 1–5 ppm; ore grades in underground or hard rock mines are usually at least 3 ppm. Because ore grades of 30 ppm are usually needed before gold is visible to the naked eye, in most gold mines the gold is invisible.
The average gold mining and extraction costs were about $317 per troy ounce in 2007, but these can vary widely depending on mining type and ore quality; global mine production amounted to 2,471.1 tonnes.
After initial production, gold is often subsequently refined industrially by the Wohlwill process which is based on electrolysis or by the Miller process, that is chlorination in the melt. The Wohlwill process results in higher purity, but is more complex and is only applied in small-scale installations. Other methods of assaying and purifying smaller amounts of gold include parting and inquartation as well as cupellation, or refining methods based on the dissolution of gold in aqua regia. |
synth_fc_3591_rep15 | Positive | Travel itinerary | Calculation | Single | https://en.wikipedia.org/wiki/Chuuk_Lagoon | 1 | Chuuk Lagoon, previously Truk Atoll, is an atoll in the central Pacific. It lies about 1,800 kilometres northeast of New Guinea and is part of Chuuk State within the Federated States of Micronesia (FSM). A protective reef, 225 kilometres (140 mi) around, encloses a natural harbour 79 by 50 km, with an area of 2,130 km (820 sq mi). It has a land area of 93.07 square kilometres, with a population of 36,158 people and a maximal elevation of 443 metres (1,453 ft). Weno city on Weno Island functions as both the atoll's capital and the state capital, and is the largest city in the FSM with its 13,700 people. Chuuk Lagoon was the Empire of Japan's main naval base in the South Pacific theatre during World War II. It was the site of a major U.S. attack during Operation Hailstone in February 1944, and Operation Inmate, a small assault conducted by British and Canadian forces during June 1945. |
synth_fc_1469_rep26 | Positive | Geography | Entity search | Multi | https://en.wikipedia.org/wiki/Great_Pyramid_of_Giza | 27 | Robbers' Tunnel
Today tourists enter the Great Pyramid via the Robbers' Tunnel, which was long ago cut straight through the masonry of the pyramid. The entrance was forced into the 6th and 7th layer of the casing, about 7 metres (23 ft) above the base. After running more or less straight and horizontal for 27 metres (89 ft) it turns sharply left to encounter the blocking stones in the Ascending Passage. It is possible to enter the Descending Passage from this point but access is usually forbidden.
The origin of this Robbers' Tunnel is the subject of much scholarly discussion. According to tradition the opening was made around 820 AD by Caliph al-Ma'mun 's workmen with a battering ram. The digging dislodged the stone in the ceiling of the Descending Passage that hid the entrance to the Ascending Passage, and the noise of that stone falling, then sliding down the Descending Passage alerted them to the need to turn left. Unable to remove these stones, the workmen tunneled upwards beside them through the softer limestone of the Pyramid until they reached the Ascending Passage.
Due to a number of historical and archaeological discrepancies, many scholars (with Antoine de Sacy perhaps being the first) contend that this story is apocryphal. They argue that it is much more likely that the tunnel had been carved shortly after the pyramid was initially sealed. This tunnel, the scholars continue, was then resealed (likely during the Ramesside Restoration), and it was this plug that al-Ma'mun's ninth-century expedition cleared away. This theory is furthered by the report of patriarch Dionysius I Telmaharoyo, who claimed that before al-Ma'mun's expedition, there already existed a breach in the pyramid's north face that extended into the structure 33 metres (108 ft) before hitting a dead end. This suggests that some sort of robber's tunnel predated al-Ma'mun, and that the caliph simply enlarged it and cleared it of debris. |
synth_fc_609_rep16 | Positive | Corporate Management | Database creation | Multi | https://en.wikipedia.org/wiki/Linked_list | 25 | Tradeoffs
As with most choices in computer programming and design, no method is well suited to all circumstances. A linked list data structure might work well in one case, but cause problems in another. This is a list of some of the common tradeoffs involving linked list structures. |
synth_fc_1531_rep20 | No function call | Geography | Calculation | Single | https://en.wikipedia.org/wiki/Karakoram | 8 | Name
Karakoram is a Turkic term meaning black gravel. The Central Asian traders originally applied the name to the Karakoram Pass. Early European travellers, including William Moorcroft and George Hayward, started using the term for the range of mountains west of the pass, although they also used the term Muztagh (meaning, "Ice Mountain") for the range now known as Karakoram. Later terminology was influenced by the Survey of India, whose surveyor Thomas Montgomerie in the 1850s gave the labels K1 to K6 (K for Karakoram) to six high mountains visible from his station at Mount Haramukh in Kashmir Valley, codes extended further up to more than thirty.
In traditional Indian geography the mountains were known as Krishnagiri (black mountains), Kanhagiri and Kanheri. |
synth_fc_1211_rep2 | No function call | Finance | Feature search | Single | https://en.wikipedia.org/wiki/Multinational_corporation | 8 | After World War II
After the war, the number of businesses having at least one foreign country operation rose drastically from a few thousand to 78,411 in 2007. Meanwhile, 74% of parent companies are located in economically advanced countries. Developing and former communist countries such as China, India, and Brazil being the largest recipients. However, 70% of foreign direct investment went into developed countries in the form of stocks and cash flows. The rise of the number of multinational companies could be due to a stable political environment that encourages cooperation, advances in technology that enables management of faraway regions, and favorable organizational development that encourages business expansion into other countries. |
synth_fc_3626_rep28 | Positive | Video game | Entity search | Single | https://en.wikipedia.org/wiki/Niccol%C3%B2_Machiavelli | 10 | In popular culture
In English Renaissance theatre (Elizabethan and Jacobian), the term " Machiavel " (from 'Nicholas Machiavel', an "anglicization" of Machiavelli's name based on French) was used for a stock antagonist that resorted to ruthless means to preserve the power of the state, and is now considered a synonym of "Machiavellian".
Christopher Marlowe 's play The Jew of Malta (ca. 1589) contains a prologue by a character called Machiavel, a Senecan ghost based on Machiavelli. Machiavel expresses the cynical view that power is amoral, saying "I count religion but a childish toy,/And hold there is no sin but ignorance."
Somerset Maugham 's last book Then and Now fictionalizes Machiavelli's interactions with Cesare Borgia, which formed the foundation of The Prince.
Niccolò Machiavelli plays a vital role in the young adult book series The Secrets of the Immortal Nicholas Flamel by Michael Scott. He is immortal, and is working in national security for the French government.
Niccolò Machiavelli aids Cesare Borgia and protagonist Nicholas Dawson in their dangerous intrigues in Cecelia Holland 's 1979 historical novel City of God. David Maclaine writes that in the novel, Machiavelli "is an off-stage presence whose spirit permeates this work of intrigue and betrayal... It is a brilliant introduction to the people and events that gave us the word 'Machiavellian.'" Machiavelli appears as an Immortal adversary of Duncan MacLeod in Nancy Holder 's 1997 Highlander novel The Measure of a Man, and is a character in Michael Scott 's novel series The Secrets of the Immortal Nicholas Flamel (2007–2012). Machiavelli is also one of the main characters in The Enchantress of Florence (2008) by Salman Rushdie, mostly referred to as "Niccolò 'il Macchia", and the central protagonist in the 2012 novel The Malice of Fortune by Michael Ennis.
Television dramas centring on the early Renaissance have also made use of Machiavelli to underscore his influence in early modern political philosophy. Machiavelli has been featured as a supporting character in The Tudors (2007–2010), Borgia (2011–2014) and The Borgias (2011–2013), and the 1981 BBC mini series The Borgias.
Machiavelli appears in the popular historical video games Assassin's Creed II (2009) and Assassin's Creed: Brotherhood (2010), in which he is portrayed as a member of the secret society of Assassins.
A highly fictionalised version of Machiavelli appears in the BBC children's TV series Leonardo (2011–2012), in which he is "Mac", a black streetwise hustler who is best friends with fellow teenagers Leonardo da Vinci, Mona Lisa, and Lorenzo di Medici. In the 2013 episode "Ewings Unite!" of the television series Dallas, legendary oil baron J. R. Ewing wills his copy of The Prince to his adopted nephew Christopher Ewing, telling him to "use it, because being smart and sneaky is an unbeatable combination." In Da Vinci's Demons (2013–2015) – an American historical fantasy drama series that presents a fictional account of Leonardo da Vinci's early life – Eros Vlahos plays a young Niccolò "Nico" Machiavelli, although the character's full name is not revealed until the finale of the second season.
The 1967 The Time Tunnel episode "The Death Merchant" stars character actor Malachi Throne as Niccolò Machiavelli, who has been time-displaced to the Battle of Gettysburg. The character's personality and behaviour seem to portray Cesare Borgia rather than Machiavelli himself, suggesting that the writers may have confused the two.
Machiavelli is played by Damian Lewis in the 2013 BBC radio play The Prince written by Jonathan Myerson. Together with his defence attorney Lucrezia Borgia (Helen McCrory), he presents examples from history to the devil to support his political theories and appeal his sentence in Hell.
The historical novel The City of Man (2009) by author Michael Harrington fully portrays the complex personalities of the two main characters – Girolamo Savonarola and a formative Niccolò Machiavelli – in opposition during the turbulent last decade of 15th-century Florence. The portrayal of Machiavelli draws from his later writings and observations of the chaotic events of his youth before rising from obscurity to be appointed as second chancellor of the Florentine Republic at the age of twenty-nine, only one month after Savonarola's execution. Major characters include Lorenzo de' Medici, his son Piero, Michelangelo, Sandro Botticelli, Pico della Mirandola, Marsilio Ficino, Pope Alexander VI (Rodrigo Borgia), Cesare Borgia (model for The Prince), Piero and Tommaso Soderini, Il Cronaca and the diarist, Luca Landucci.
Rapper Tupac Shakur studied in depth the teachings of The Prince while in prison recovering from an attempt on his life. He was so inspired that once released from prison he changed his stage name to a pseudonym derived from Niccolo Machiavelli; "Makaveli", stating: "Like, Machiavelli. My name is not Machiavelli. My name is Makaveli. I took it, that's mine. He gave me that. And I don't feel no guilt." "That's what got me here, My reading. It's not like I idolize this one guy Machiavelli. I idolize that type of thinking where you do whatever's gonna make you achieve your goal". Released only eight weeks after Tupac Shakur died from gunshot wounds, Death Row records released The Don Killuminati: The 7 Day Theory the posthumous album under the name of Makaveli, after having been influenced by Machiavelli's philosophy of using deception and fear on one's enemies.
In the 1993 crime drama A Bronx Tale, local mob boss Sonny tells his young protégé Calogero that while he was doing a 10-year sentence in jail, he passed the time and stayed out of trouble by reading Machiavelli, whom he describes as "a famous writer from 500 years ago". He then tells him how Machiavelli's philosophy, including his famous advice about how it is preferable for a leader to be feared rather than loved if he cannot be both, has made him a successful mob boss.
Machiavelli also appears as a young Florentine spy in the third season of Medici, where he is portrayed by Vincenzo Crea. He is addressed as "Nico" in all appearances except the season finale, where he reveals his full name. |
synth_fc_1523_rep17 | Positive | Geography | Feature search | Single | https://en.wikipedia.org/wiki/Ancient_Rome | 18 | Flavian dynasty
The Flavians were the second dynasty to rule Rome. By 68 AD, the year of Nero's death, there was no chance of a return to the Roman Republic, and so a new emperor had to arise. After the turmoil in the Year of the Four Emperors, Titus Flavius Vespasianus (anglicised as Vespasian) took control of the empire and established a new dynasty. Under the Flavians, Rome continued its expansion, and the state remained secure. Under Trajan, the Roman Empire reached the peak of its territorial expansion. Rome's dominion now spanned 5.0 million square kilometres (1.9 million square miles).
The most significant military campaign undertaken during the Flavian period was the siege and destruction of Jerusalem in 70 AD by Titus. The destruction of the city was the culmination of the Roman campaign in Judea following the Jewish uprising of 66 AD. The Second Temple was completely demolished, after which Titus' soldiers proclaimed him imperator in honour of the victory. Jerusalem was sacked and much of the population killed or dispersed. Josephus claims that 1,100,000 people were killed during the siege, of whom a majority were Jewish. 97,000 were captured and enslaved, including Simon bar Giora and John of Giscala. Many fled to areas around the Mediterranean.
Vespasian was a general under Claudius and Nero and fought as a commander in the First Jewish-Roman War. Following the turmoil of the Year of the Four Emperors, in 69 AD, four emperors were enthroned in turn: Galba, Otho, Vitellius, and, lastly, Vespasian, who crushed Vitellius' forces and became emperor. He reconstructed many buildings which were uncompleted, like a statue of Apollo and the temple of Divus Claudius ("the deified Claudius"), both initiated by Nero. Buildings destroyed by the Great Fire of Rome were rebuilt, and he revitalised the Capitol. Vespasian started the construction of the Flavian Amphitheater, commonly known as the Colosseum. The historians Josephus and Pliny the Elder wrote their works during Vespasian's reign. Vespasian was Josephus' sponsor and Pliny dedicated his Naturalis Historia to Titus, son of Vespasian. Vespasian sent legions to defend the eastern frontier in Cappadocia, extended the occupation in Britannia (modern-day England, Wales and southern Scotland) and reformed the tax system. He died in 79 AD.
Titus became emperor in 79. He finished the Flavian Amphitheater, using war spoils from the First Jewish-Roman War, and hosted victory games that lasted for a hundred days. These games included gladiatorial combats, horse races and a sensational mock naval battle on the flooded grounds of the Colosseum. Titus died of fever in 81 AD, and was succeeded by his brother Domitian. As emperor, Domitian showed the characteristics of a tyrant. He ruled for fifteen years, during which time he acquired a reputation for self-promotion as a living god. He constructed at least two temples in honour of Jupiter, the supreme deity in Roman religion. He was murdered following a plot within his own household. |
synth_fc_114_rep18 | Positive | Biology | Entity search | Single | https://en.wikipedia.org/wiki/Rockslide | 1 | A rockslide is a type of landslide caused by rock failure in which part of the bedding plane of failure passes through compacted rock and material collapses en masse and not in individual blocks. Note that a rockslide is similar to an avalanche because they are both slides of debris that can bury a piece of land. While a landslide occurs when loose dirt or sediment falls down a slope, a rockslide occurs only when solid rocks are transported down slope. The rocks tumble downhill, loosening other rocks on their way and smashing everything in their path. Fast-flowing rock slides or debris slides behave similarly to snow avalanches, and are often referred to as rock avalanches or debris avalanches. |
synth_fc_158_rep19 | Negative | Biology | Generation | Single | https://en.wikipedia.org/wiki/Musa_balbisiana | 1 | Musa balbisiana, also known simply as plantain, is a wild-type species of banana. It is one of the ancestors of modern cultivated bananas, along with Musa acuminata. |
synth_fc_2815_rep10 | Positive | Physics & Chemistry | Database search | Multi | https://en.wikipedia.org/wiki/Vector_notation | 9 | Operations
In any given vector space, the operations of vector addition and scalar multiplication are defined. Normed vector spaces also define an operation known as the norm (or determination of magnitude). Inner product spaces also define an operation known as the inner product. In R n {\displaystyle \mathbb {R} ^{n}}, the inner product is known as the dot product. In R 3 {\displaystyle \mathbb {R} ^{3}} and R 7 {\displaystyle \mathbb {R} ^{7}}, an additional operation known as the cross product is also defined. |
synth_fc_3662_rep17 | Positive | Video game | Feature search | Single | https://en.wikipedia.org/wiki/Strategy_(game_theory) | 11 | In game theory, a move, action, or play is any one of the options which a player can choose in a setting where the optimal outcome depends not only on their own actions but on the actions of others. The discipline mainly concerns the action of a player in a game affecting the behavior or actions of other players. Some examples of "games" include chess, bridge, poker, monopoly, diplomacy or battleship. The term strategy is typically used to mean a complete algorithm for playing a game, telling a player what to do for every possible situation. A player's strategy determines the action the player will take at any stage of the game. However, the idea of a strategy is often confused or conflated with that of a move or action, because of the correspondence between moves and pure strategies in most games: for any move X, "always play move X" is an example of a valid strategy, and as a result every move can also be considered to be a strategy. Other authors treat strategies as being a different type of thing from actions, and therefore distinct. It is helpful to think about a "strategy" as a list of directions, and a "move" as a single turn on the list of directions itself. This strategy is based on the payoff or outcome of each action. The goal of each agent is to consider their payoff based on a competitors action. For example, competitor A can assume competitor B enters the market. From there, Competitor A compares the payoffs they receive by entering and not entering. The next step is to assume Competitor B does not enter and then consider which payoff is better based on if Competitor A chooses to enter or not enter. This technique can identify dominant strategies where a player can identify an action that they can take no matter what the competitor does to try to maximize the payoff. A strategy profile is a set of strategies for all players which fully specifies all actions in a game. A strategy profile must include one and only one strategy for every player. |
synth_fc_1530_rep23 | Positive | Geography | Feature search | Single | https://en.wikipedia.org/wiki/Urbanization | 1 | Urbanization (or urbanisation in British English) is the population shift from rural to urban areas, the corresponding decrease in the proportion of people living in rural areas, and the ways in which societies adapt to this change. It can also mean population growth in urban areas instead of rural ones. It is predominantly the process by which towns and cities are formed and become larger as more people begin living and working in central areas.
Although the two concepts are sometimes used interchangeably, urbanization should be distinguished from urban growth. Urbanization refers to the proportion of the total national population living in areas classified as urban, whereas urban growth strictly refers to the absolute number of people living in those areas. It is predicted that by 2050 about 64% of the developing world and 86% of the developed world will be urbanized. This is predicted to generate artificial scarcities of land, lack of drinking water, playgrounds and so on for most urban dwellers. The predicted urban population growth is equivalent to approximately 3 billion urbanites by 2050, much of which will occur in Africa and Asia. Notably, the United Nations has also recently projected that nearly all global population growth from 2017 to 2030 will be by cities, with about 1.1 billion new urbanites over the next 10 years. In the long term, urbanization is expected to significantly impact the quality of life in negative ways.
Urbanization is relevant to a range of disciplines, including urban planning, geography, sociology, architecture, economics, education, statistics and public health. The phenomenon has been closely linked to globalization, modernization, industrialization, marketization, administrative/institutional power, and the sociological process of rationalization. Urbanization can be seen as a specific condition at a set time (e.g. the proportion of total population or area in cities or towns), or as an increase in that condition over time. Therefore, urbanization can be quantified either in terms of the level of urban development relative to the overall population, or as the rate at which the urban proportion of the population is increasing. Urbanization creates enormous social, economic and environmental challenges, which provide an opportunity for sustainability with the "potential to use resources much less or more efficiently, to create more sustainable land use and to protect the biodiversity of natural ecosystems." However, current urbanization trends have shown that massive urbanization has led to unsustainable ways of living. Developing urban resilience and urban sustainability in the face of increased urbanization is at the centre of international policy in Sustainable Development Goal 11 "Sustainable cities and communities."
Urbanization is not merely a modern phenomenon, but a rapid and historic transformation of human social roots on a global scale, whereby predominantly rural culture is being rapidly replaced by predominantly urban culture. The first major change in settlement patterns was the accumulation of hunter-gatherers into villages many thousands of years ago. Village culture is characterized by common bloodlines, intimate relationships, and communal behaviour, whereas urban culture is characterized by distant bloodlines, unfamiliar relations, and competitive behaviour. This unprecedented movement of people is forecast to continue and intensify during the next few decades, mushrooming cities to sizes unthinkable only a century ago. As a result, the world urban population growth curve has up till recently followed a quadratic-hyperbolic pattern. |
synth_fc_44_rep29 | Negative | Architecture | Guide | Single | https://en.wikipedia.org/wiki/Empire_State_Building | 21 | Hotel demolition
Demolition of the old Waldorf–Astoria began on October 1, 1929. Stripping the building down was an arduous process, as the hotel had been constructed using more rigid material than earlier buildings had been. Furthermore, the old hotel's granite, wood chips, and "'precious' metals such as lead, brass, and zinc" were not in high demand, resulting in issues with disposal. Most of the wood was deposited into a woodpile on nearby 30th Street or was burned in a swamp elsewhere. Much of the other materials that made up the old hotel, including the granite and bronze, were dumped into the Atlantic Ocean near Sandy Hook, New Jersey.
By the time the hotel's demolition started, Raskob had secured the required funding for the construction of the building. The plan was to start construction later that year but, on October 24, the New York Stock Exchange experienced the major and sudden Wall Street Crash, marking the beginning of the decade-long Great Depression. Despite the economic downturn, Raskob refused to cancel the project because of the progress that had been made up to that point. Neither Raskob, who had ceased speculation in the stock market the previous year, nor Smith, who had no stock investments, suffered financially in the crash. However, most of the investors were affected and as a result, in December 1929, Empire State Inc. obtained a $27.5 million loan from Metropolitan Life Insurance Company so construction could begin. The stock market crash resulted in no demand for new office space; Raskob and Smith nonetheless started construction, as canceling the project would have resulted in greater losses for the investors. |
synth_fc_1039_rep1 | Positive | Finance | Calculation | Single | https://en.wikipedia.org/wiki/Interest | 19 | Inflation
Since the lender is deferring consumption, they will wish, as a bare minimum, to recover enough to pay the increased cost of goods due to inflation. Because future inflation is unknown, there are three ways this might be achieved:
However interest rates are set by the market, and it happens frequently that they are insufficient to compensate for inflation: for example at times of high inflation during, for example, the oil crisis; and during 2011 when real yields on many inflation-linked government stocks are negative. |
synth_fc_2008_rep15 | Positive | History | Feature search | Single | https://en.wikipedia.org/wiki/Anti-clericalism | 14 | Portugal
The fall of the Monarchy in the Republican revolution of 1910 led to another wave of anti-clerical activity. Most church property was put under State control, and the church was not allowed to inherit property. The revolution and the republic allegedly took a "hostile" approach to the issue of church and state separation, like that of the French Revolution, the Spanish Constitution of 1931 and the Mexican Constitution of 1917. As part of the anti-clerical revolution, the bishops were driven from their dioceses, the property of clerics was seized by the state, wearing of the cassock was banned, all minor seminaries were closed and all but five major seminaries. A law of February 22, 1918, permitted only two seminaries in the country, but they had not been given their property back. Religious orders were expelled from the country, including 31 orders comprising members in 164 houses (in 1917 some orders were permitted to form again). Religious education was prohibited in both primary and secondary school. Religious oaths and church taxes were also abolished. |
synth_fc_413_rep14 | Positive | Color | Feature search | Single | https://en.wikipedia.org/wiki/Niobium | 7 | Other
The arc-tube seals of high pressure sodium vapor lamps are made from niobium, sometimes alloyed with 1% of zirconium; niobium has a very similar coefficient of thermal expansion, matching the sintered alumina arc tube ceramic, a translucent material which resists chemical attack or reduction by the hot liquid sodium and sodium vapour contained inside the operating lamp.
Niobium is used in arc welding rods for some stabilized grades of stainless steel and in anodes for cathodic protection systems on some water tanks, which are then usually plated with platinum.
Niobium is used to make the high voltage wire of the solar corona particles receptor module of the Parker Solar Probe.
Niobium is a constituent of a lightfast chemically-stable inorganic yellow pigment that has the trade name NTP Yellow. It is Niobium Sulfur Tin Zinc Oxide, a pyrochlore, produced via high-temperature calcination. The pigment is also known as pigment yellow 227, commonly listed as PY 227 or PY227. |
synth_fc_3541_rep13 | Negative | Travel itinerary | Calculation | Single | https://en.wikipedia.org/wiki/Valpara%C3%ADso_Region | 1 | The Valparaíso Region is one of Chile's 16 first order administrative divisions. With the country's second-highest population of 1,790,219 as of 2017, and fourth-smallest area of 16,396.1 km (6,331 sq mi), the region is Chile's second most densely populated after the Santiago Metropolitan Region to the southeast. The region also includes Chile's remote islands of the Pacific Ocean, including Rapa Nui and the Juan Fernandez Islands. Its capital is the port city of Valparaíso; other important cities include Viña del Mar, Quillota, San Felipe, Quilpué, Villa Alemana, and San Antonio. |
synth_fc_3665_rep3 | Positive | Video game | Entity search | Single | https://en.wikipedia.org/wiki/Checkers | 4 | Computational complexity
Generalized Checkers is played on an M × N board.
It is PSPACE-hard to determine whether a specified player has a winning strategy. And if a polynomial bound is placed on the number of moves that are allowed in between jumps (which is a reasonable generalisation of the drawing rule in standard Checkers), then the problem is in PSPACE, thus it is PSPACE-complete. However, without this bound, Checkers is EXPTIME-complete.
However, other problems have only polynomial complexity: |
synth_fc_2863_rep21 | Positive | Restaurant | Proximal search | Single | https://en.wikipedia.org/wiki/Curitiba | 7 | Gastronomy
The capital of Paraná is an important gastronomic center in Brazil, and the typical foods of Curitiba tend be very different when compared to other common Brazilian dishes. The dishes of the local cuisine are a reflection of the history of the municipality and the typical foods. Curitiba's cuisine has mainly been influenced by Italian, Polish and German immigrants.
Curitiba is the home of the largest restaurant in the Americas, and one of the world's largest restaurants, Restaurante Madalosso. Madalosso can feed more than 4,600 diners at a time in its 10 dining rooms, all named after Italian cities. |
synth_fc_535_rep8 | Positive | Corporate Management | Database creation | Multi | https://en.wikipedia.org/wiki/Lattice_(order) | 3 | Connection to other algebraic structures
Lattices have some connections to the family of group-like algebraic structures. Because meet and join both commute and associate, a lattice can be viewed as consisting of two commutative semigroups having the same domain. For a bounded lattice, these semigroups are in fact commutative monoids. The absorption law is the only defining identity that is peculiar to lattice theory. A bounded lattice can also be thought of as a commutative rig without the distributive axiom.
By commutativity, associativity and idempotence one can think of join and meet as operations on non-empty finite sets, rather than on pairs of elements. In a bounded lattice the join and meet of the empty set can also be defined (as 0 {\displaystyle 0} and 1, {\displaystyle 1,} respectively). This makes bounded lattices somewhat more natural than general lattices, and many authors require all lattices to be bounded.
The algebraic interpretation of lattices plays an essential role in universal algebra. |
synth_fc_3466_rep20 | Negative | Time | Feature search | Single | https://en.wikipedia.org/wiki/YouTube | 31 | YouTube Stories
In 2018, YouTube started testing a new feature initially called "YouTube Reels". The feature was nearly identical to Instagram Stories and Snapchat Stories. YouTube later renamed the feature "YouTube Stories". It was only available to creators who had more than 10,000 subscribers and could only be posted/seen in the YouTube mobile app. On May 25, 2023, YouTube announced that they would be shutting down this feature on June 26, 2023. |
synth_fc_3745_rep15 | No function call | Weather & Air quality | Feature search | Single | https://en.wikipedia.org/wiki/Numerical_methods_for_partial_differential_equations | 1 | Numerical methods for partial differential equations is the branch of numerical analysis that studies the numerical solution of partial differential equations (PDEs).
In principle, specialized methods for hyperbolic, parabolic or elliptic partial differential equations exist. |
synth_fc_1133_rep10 | Positive | Finance | Calculation | Multi | https://en.wikipedia.org/wiki/Shirley_Temple | 10 | Finances
On December 21, 1933, Temple's contract was extended to one year at the same $150 per week (equivalent to $3,531 in 2023) with a seven-year option, and her mother Gertrude was hired at $25 per week (equivalent to $588 in 2023) as her hairdresser and personal coach. Released in May 1934, Stand Up and Cheer! became Shirley's breakthrough film. She performed in a short skit in the film alongside popular Fox star James Dunn, singing and tap dancing. Fox executives rushed her into another film with Dunn, Baby Take a Bow (named after their song in Stand Up and Cheer!). Temple's third film, also with Dunn, was Bright Eyes (1934), a movie written especially for her.
After the success of her first three films, Temple's parents realized that she was not being paid sufficiently. Her image also began to appear on numerous commercial products without her legal authorization and without compensation. To regain control over the use of her image and to negotiate with Fox, Temple's parents hired lawyer Lloyd Wright to represent them. On July 18, 1934, Temple's contractual salary was raised to $1,000 per week (equivalent to $22,776 in 2023), and her mother's salary was raised to $250 per week (equivalent to $5,694 in 2023), with an additional $15,000 (equivalent to $341,642 in 2023) bonus for each finished film. Cease-and-desist letters were sent to many companies and the authorized corporate licenses began to be issued.
Bright Eyes, written with her acting style in mind, was released in 1934 The film included the song " On the Good Ship Lollipop ", which is considered to be her signature song. She was awarded a miniature Juvenile Oscar in 1935. |
synth_fc_2102_rep10 | No function call | Law | Entity search | Single | https://en.wikipedia.org/wiki/Zoning | 24 | Floating zones
Floating zones describe a zoning district's characteristics and codify requirements for its establishment, but its location remains unspecified until conditions exist to implement that type of zoning district. When the criteria for implementation of a floating zone are met, the floating zone ceases "to float" and its location is established by a zoning amendment. |
synth_fc_1203_rep9 | Positive | Finance | Calculation | Multi | https://en.wikipedia.org/wiki/Auguste_Rodin | 10 | Forgeries
The relative ease of making reproductions has also encouraged many forgeries: a survey of expert opinion placed Rodin in the top ten most-faked artists. Rodin fought against forgeries of his works as early as 1901, and since his death, many cases of organized, large-scale forgeries have been revealed. A massive forgery was discovered by French authorities in the early 1990s and led to the conviction of art dealer Guy Hain.
To deal with the complexity of bronze reproduction, France has promulgated several laws since 1956 which limit reproduction to twelve casts – the maximum number that can be made from an artist's plasters and still be considered his work. As a result of this limit, The Burghers of Calais, for example, is found in fourteen cities.
In the market for sculpture, plagued by fakes, the value of a piece increases significantly when its provenance can be established. A Rodin work with a verified history sold for US$4.8 million in 1999, and Rodin's bronze Ève, grand modele – version sans rocher sold for $18.9 million at a 2008 Christie's auction in New York. Art critics concerned about authenticity have argued that taking a cast does not equal reproducing a Rodin sculpture – especially given the importance of surface treatment in Rodin's work.
A number of drawings previously attributed to Rodin are now known to have been forged by Ernest Durig. |
synth_fc_3575_rep20 | Positive | Travel itinerary | Calculation | Single | https://en.wikipedia.org/wiki/Sim%C3%B3n_Bol%C3%ADvar | 4 | Education and first journey to Europe: 1793–1802
As a child, Bolívar was notoriously unruly and neglected his studies. Before his mother died, he spent two years under the tutelage of the Venezuelan lawyer Miguel José Sanz at the direction of the Real Audiencia of Caracas, the Spanish court of appeals in Caracas. In 1793, Carlos enrolled Bolívar at a rudimentary primary school run by Venezuelan educator Simón Rodríguez. In June 1795, Bolívar fled his uncle's custody for the house of his sister María Antonia and her husband. The couple sought formal recognition of his change of residence, but the Real Audiencia decided the matter in favor of Palacios, who sent Simón to live with Rodríguez.
After two months there, the Real Audiencia directed that he be returned to the Palacios family home. Bolívar promised the Real Audiencia that he would focus on his education and was subsequently taught full-time by Rodríguez and the Venezuelan intellectuals Andrés Bello and Francisco de Andújar. In 1797, Rodríguez's connection to the pro-independence Gual and España conspiracy forced him to go into exile, and Bolívar was enrolled in an honorary militia force. When he was commissioned as an officer after a year, his uncles Carlos and Esteban Palacios y Blanco decided to send Bolívar to join the latter in Madrid. There, Esteban was friends with Queen Maria Luisa 's favorite, Manuel Mallo.
On 19 January 1799, Bolívar boarded the Spanish warship San Ildefonso at the port of La Guaira, bound for Cádiz. He arrived in Santoña, on the northern coast of Spain, in May 1799. A little over a week later, he arrived in Madrid and joined Esteban, who found Bolívar to be "very ignorant." Esteban asked Gerónimo Enrique de Uztáriz y Tovar, a Caracas native and government official, to educate Bolívar. Bolívar moved into Uztáriz's residence in February 1800 and was educated in the Classics, literature, and social studies.
At the same time, Mallo fell out of the Queen's favor and Manuel Godoy, her previous favorite, returned to power. As members of Mallo's faction at court, Esteban was arrested on pretense, and Bolívar was banished from court following a public incident at the Puerta de Toledo over the wearing of diamonds without royal permission. Bolívar also at this time met María Teresa Rodríguez del Toro y Alaysa, the daughter of another wealthy Caracas creole. They were engaged in August 1800, but were separated when the del Toros left Madrid for a summer home in Bilbao. After Uztáriz left Madrid for a government assignment in Teruel in 1801, Bolívar himself left for Bilbao and remained there when the del Toros returned to the capital in August 1801. Early in 1802, Bolívar traveled to Paris while he awaited permission to return to Madrid, which was granted in April. |
synth_fc_705_rep5 | Positive | DNA sequence | Generation | Multi | https://en.wikipedia.org/wiki/Lagrange%27s_theorem_(group_theory) | 3 | Existence of subgroups of given order
Lagrange's theorem raises the converse question as to whether every divisor of the order of a group is the order of some subgroup. This does not hold in general: given a finite group G and a divisor d of | G |, there does not necessarily exist a subgroup of G with order d. The smallest example is A (the alternating group of degree 4), which has 12 elements but no subgroup of order 6.
A "Converse of Lagrange's Theorem" (CLT) group is a finite group with the property that for every divisor of the order of the group, there is a subgroup of that order. It is known that a CLT group must be solvable and that every supersolvable group is a CLT group. However, there exist solvable groups that are not CLT (for example, A) and CLT groups that are not supersolvable (for example, S, the symmetric group of degree 4).
There are partial converses to Lagrange's theorem. For general groups, Cauchy's theorem guarantees the existence of an element, and hence of a cyclic subgroup, of order any prime dividing the group order. Sylow's theorem extends this to the existence of a subgroup of order equal to the maximal power of any prime dividing the group order. For solvable groups, Hall's theorems assert the existence of a subgroup of order equal to any unitary divisor of the group order (that is, a divisor coprime to its cofactor). |
synth_fc_3702_rep6 | Positive | Visual Art | Entity search | Single | https://en.wikipedia.org/wiki/History_of_ballet | 1 | Ballet is a formalized dance form with its origins in the Italian Renaissance courts of 15th and 16th centuries. Ballet spread from Italy to France with the help of Catherine de' Medici, where ballet developed even further under her aristocratic influence. putangina mo wikipedia An early example of Catherine's development of ballet is through 'Le Paradis d' Amour', a piece of work presented at the wedding of her daughter Marguerite de Valois to Henry of Navarre. Aristocratic money was responsible for the initial stages of development in 'court ballet', as it was royal money that dictated the ideas, literature and music used in ballets that were created to primarily entertain the aristocrats of the time. The first formal 'court ballet' ever recognized was staged in 1573, 'Ballet des Polonais'. In true form of royal entertainment, 'Ballet des Polonais' was commissioned by Catherine de' Medici to honor the Polish ambassadors who were visiting Paris upon the accession of Henry of Anjou to the throne of Poland. In 1581, Catherine de' Medici commissioned another court ballet, Ballet Comique de la Reine, however it was her compatriot, Balthasar de Beaujoyeulx, who organized the ballet. Catherine de' Medici and Balthasar de Beaujoyeulx were responsible for presenting the first court ballet ever to apply the principles of Baif's Academie, by integrating poetry, dance, music and set design to convey a unified dramatic storyline. Moreover, the early organization and development of 'court ballet' was funded by, influenced by and produced by the aristocrats of the time, fulfilling both their personal entertainment and political propaganda needs. In the late 17th century Louis XIV founded the Académie Royale de Musique within which emerged the first professional theatrical ballet company, the Paris Opera Ballet. The predominance of French in the vocabulary of ballet reflects this history. Theatrical ballet soon became an independent form of art, although still frequently maintaining a close association with opera, and spread from the heart of Europe to other nations. The Royal Danish Ballet and the Imperial Ballet of the Russian Empire were founded in the 1740s and began to flourish, especially after about 1850. In 1907 the Russian ballet in turn moved back to France, where the Ballets Russes of Sergei Diaghilev and its successors were particularly influential. Soon ballet spread around the world with the formation of new companies, including London's The Royal Ballet (1931), the San Francisco Ballet (1933), American Ballet Theatre (1937), the Royal Winnipeg Ballet (1939), The Australian Ballet, the New York City Ballet (1948), the Cuban National Ballet (1948), the National Ballet of Canada (1951), and the National Ballet Academy and Trust of India (2002). In the 20th century styles of ballet continued to develop and strongly influence broader concert dance, for example, in the United States choreographer George Balanchine developed what is now known as neoclassical ballet, subsequent developments have included contemporary ballet and post-structural ballet, for example seen in the work of William Forsythe in Germany. The etymology of the word "ballet" reflects its history. The word ballet comes from French and was borrowed into English around the 17th century. The French word in turn has its origins in Italian balletto, a diminutive of ballo (dance). Ballet ultimately traces back to Italian ballare, meaning "to dance". |
synth_fc_1002_rep11 | No function call | Finance | Calculation | Single | https://en.wikipedia.org/wiki/Massimo_Moratti | 1 | Massimo Moratti is an Italian billionaire petroleum businessman, the former owner of Inter Milan and chairman of the Saras Group, founded in 1962 by his father, industrialist Angelo Moratti. The main production site of the Saras Group is the Sarroch refinery located on the island of Sardinia, one of Europe's only six supersites, with a capacity of 300,000 barrels per day, representing 15% of refining capacity in Italy. In recent years, initially to enable independence of the Sarroch refinery from terms of energy, the Saras Group has entered into the production of electricity and is expanding its production of alternative energy sources, particularly in the field of wind energy, through its subsidiaries Sarlux and Sardeolica, the latter of which is controlled indirectly through the company Eolici Ulassai. From 1995 until 2013, Moratti was the chairman of Internazionale. He is said to have spent around €1.5 billion of his personal fortune in the transfer market, and was famous for signing numerous football superstars such as Ronaldo in 1997. He was Inter's honorary chairman, and also a United Nations goodwill ambassador. In 2013, he was inducted into the Italian Football Hall of Fame. |
synth_fc_828_rep12 | Positive | Finance | Feature search | Multi | https://en.wikipedia.org/wiki/AT%26T | 20 | Breakup and reformation (1982–2004)
In 1982, U.S. regulators broke up the AT&T monopoly, requiring AT&T to divest its local subsidiaries, which it did by grouping them into seven individual companies. These new companies were known as Regional Bell Operating Companies, or more informally, Baby Bells. AT&T continued to operate long-distance services but faced increasing competition from competitors such as MCI and Sprint.
Southwestern Bell Corporation (SBC) was one of the companies created by the breakup of AT&T Corp. The company soon started a series of acquisitions, including the 1987 acquisition of Metromedia mobile business and the acquisition of several cable companies in the early 1990s. In the latter half of the 1990s, the company acquired several other telecommunications companies, including two Baby Bells (Pacific Telesis Group and Ameritech Corporation), while selling its cable business. During this time, the company changed its name to SBC Communications Inc. In early 1997 C. Michael Armstrong was named CEO, and Armstrong appointed John Zeglis as president later in that same year. By 1998, the company was in the top 15 of the Fortune 500, and by 1999, when Zeglis assumed the positions of chairman and CEO of AT&T Wireless, AT&T was part of the Dow Jones Industrial Average (lasting through 2015). Zeglis ended his service as president of AT&T in 2001 and resigned from his positions in AT&T Wireless in 2004. |
synth_fc_2214_rep8 | Positive | Law | Entity search | Single | https://en.wikipedia.org/wiki/Town | 72 | Virginia
In Virginia, a town is an incorporated municipality similar to a city (though with a smaller required minimum population). But while cities are by Virginia law independent of counties, towns are contained within counties. |
synth_fc_2221_rep15 | Positive | Law | Entity search | Single | https://en.wikipedia.org/wiki/Spaceflight | 4 | Access
Access to outer space has been enabled and limited through and for some few countries, as non-spacefaring countries, particularly of the Global South have pointed out.Therefore inclusion has been a national and international issue, resulting in 1967 in the Outer Space Treaty and its claim of outer space as the " province of all mankind ". Furthermore social inclusion in human spaceflight has been demanded, with women to fly to space being still limited, and minorities like people with disability only having been selected in European Space Agency 's 2022 astronaut group.
The dominating issue about access in most recent years has been the issue of space debris and space sustainability, since established spacefaring countries endanger access to outer space with their orbital space polluting activity. |
synth_fc_700_rep2 | Positive | DNA sequence | Generation | Single | https://en.wikipedia.org/wiki/DNA_replication | 6 | Problems with DNA replication
There are many events that contribute to replication stress, including: |
synth_fc_2450_rep15 | Positive | Movie | Entity search | Multi | https://en.wikipedia.org/wiki/Entertainment | 21 | Magic
The form of entertainment known as stage magic or conjuring and recognisable as performance, is based on traditions and texts of magical rites and dogmas that have been a part of most cultural traditions since ancient times. (References to magic, for example, can be found in the Bible, in Hermeticism, in Zoroastrianism, in the Kabbalistic tradition, in mysticism and in the sources of Freemasonry.)
Stage magic is performed for an audience in a variety of media and locations: on stage, on television, in the street, and live at parties or events. It is often combined with other forms of entertainment, such as comedy or music and showmanship is often an essential part of magic performances. Performance magic relies on deception, psychological manipulation, sleight of hand and other forms of trickery to give an audience the illusion that a performer can achieve the impossible. Audiences amazed at the stunt performances and escape acts of Harry Houdini, for example, regarded him as a magician.
Fantasy magicians have held an important place in literature for centuries, offering entertainment to millions of readers. Famous wizards such as Merlin in the Arthurian legends have been written about since the 5th and 6th centuries, while in the 21st century, the young wizard Harry Potter became a global entertainment phenomenon when the book series about him sold about 450 million copies (as at June 2011), making it the best-selling book series in history. |
synth_fc_2788_rep7 | Positive | Physics & Chemistry | Calculation | Multi | https://en.wikipedia.org/wiki/Sodium_carbonate | 4 | Food additive and cooking
Sodium carbonate has several uses in cuisine, largely because it is a stronger base than baking soda (sodium bicarbonate) but weaker than lye (which may refer to sodium hydroxide or, less commonly, potassium hydroxide). Alkalinity affects gluten production in kneaded doughs, and also improves browning by reducing the temperature at which the Maillard reaction occurs. To take advantage of the former effect, sodium carbonate is therefore one of the components of kansui (かん水), a solution of alkaline salts used to give Japanese ramen noodles their characteristic flavour and chewy texture; a similar solution is used in Chinese cuisine to make lamian, for similar reasons. Cantonese bakers similarly use sodium carbonate as a substitute for lye-water to give moon cakes their characteristic texture and improve browning. In German cuisine (and Central European cuisine more broadly), breads such as pretzels and lye rolls traditionally treated with lye to improve browning can be treated instead with sodium carbonate; sodium carbonate does not produce quite as strong a browning as lye, but is much safer and easier to work with.
Sodium carbonate is used in the production of sherbet powder. The cooling and fizzing sensation results from the endothermic reaction between sodium carbonate and a weak acid, commonly citric acid, releasing carbon dioxide gas, which occurs when the sherbet is moistened by saliva.
Sodium carbonate also finds use in the food industry as a food additive (E500) as an acidity regulator, anticaking agent, raising agent, and stabilizer. It is also used in the production of snus to stabilize the pH of the final product.
While it is less likely to cause chemical burns than lye, care must still be taken when working with sodium carbonate in the kitchen, as it is corrosive to aluminum cookware, utensils, and foil. |
synth_fc_1247_rep23 | Positive | Finance | Calculation | Multi | https://en.wikipedia.org/wiki/Mint_(facility) | 1 | A mint is an industrial facility which manufactures coins that can be used as currency. The history of mints correlates closely with the history of coins. In the beginning, hammered coinage or cast coinage were the chief means of coin minting, with resulting production runs numbering as little as the hundreds or thousands. In modern mints, coin dies are manufactured in large numbers and planchets are made into milled coins by the billions. With the mass production of currency, the production cost is weighed when minting coins. For example, it costs the United States Mint much less than 25 cents to make a quarter, and the difference in production cost and face value helps fund the minting body. Conversely, a U.S. penny ($0.01) cost $0.015 to make in 2016. |
synth_fc_705_rep9 | Positive | DNA sequence | Generation | Multi | https://en.wikipedia.org/wiki/Genetics | 15 | Recombination and genetic linkage
The diploid nature of chromosomes allows for genes on different chromosomes to assort independently or be separated from their homologous pair during sexual reproduction wherein haploid gametes are formed. In this way new combinations of genes can occur in the offspring of a mating pair. Genes on the same chromosome would theoretically never recombine. However, they do, via the cellular process of chromosomal crossover. During crossover, chromosomes exchange stretches of DNA, effectively shuffling the gene alleles between the chromosomes. This process of chromosomal crossover generally occurs during meiosis, a series of cell divisions that creates haploid cells. Meiotic recombination, particularly in microbial eukaryotes, appears to serve the adaptive function of repair of DNA damages.
The first cytological demonstration of crossing over was performed by Harriet Creighton and Barbara McClintock in 1931. Their research and experiments on corn provided cytological evidence for the genetic theory that linked genes on paired chromosomes do in fact exchange places from one homolog to the other.
The probability of chromosomal crossover occurring between two given points on the chromosome is related to the distance between the points. For an arbitrarily long distance, the probability of crossover is high enough that the inheritance of the genes is effectively uncorrelated. For genes that are closer together, however, the lower probability of crossover means that the genes demonstrate genetic linkage; alleles for the two genes tend to be inherited together. The amounts of linkage between a series of genes can be combined to form a linear linkage map that roughly describes the arrangement of the genes along the chromosome. |
synth_fc_2292_rep16 | Negative | Law | Guide | Single | https://en.wikipedia.org/wiki/John_McTiernan | 1 | John Campbell McTiernan Jr. is an American retired filmmaker. He is best known for his action films, including Predator (1987), Die Hard (1988), and The Hunt for Red October (1990). His later well-known films include the action-comedy-fantasy film Last Action Hero (1993), the action film sequel Die Hard with a Vengeance (1995), the heist-film remake The Thomas Crown Affair (1999), and The 13th Warrior (1999). His last completed feature film was the mystery-thriller Basic, released in 2003. He pleaded guilty to perjury and lying to an FBI investigator in regard to his hiring of the private investigator Anthony Pellicano in late 2000 to illegally wiretap the phone calls of two people, one of whom was Charles Roven, a co-producer of his action film remake Rollerball (2002). He was incarcerated in federal prison from April 2013 to February 2014. During his imprisonment, he filed for bankruptcy amidst foreclosure proceedings for his large ranch residence. |
synth_fc_1321_rep6 | Positive | Food | Calculation | Single | https://en.wikipedia.org/wiki/Pasta | 3 | Sauce
Pasta is generally served with some type of sauce; the sauce and the type of pasta are usually matched based on consistency and ease of eating. Northern Italian cooking uses less tomato sauce, garlic and herbs, and béchamel sauce is more common. However, Italian cuisine is best identified by individual regions. Pasta dishes with lighter use of tomato are found in Trentino-Alto Adige and Emilia-Romagna regions of northern Italy. In Bologna, the meat-based Bolognese sauce incorporates a small amount of tomato concentrate and a green sauce called pesto originates from Genoa. In central Italy, there are sauces such as tomato sauce, amatriciana, arrabbiata, and the egg-based carbonara.
Tomato sauces are also present in southern Italian cuisine, where they originated. In southern Italy more complex variations include pasta paired with fresh vegetables, olives, capers or seafood. Varieties include puttanesca, pasta alla Norma (tomatoes, eggplant and fresh or baked cheese), pasta con le sarde (fresh sardines, pine nuts, fennel and olive oil), spaghetti aglio, olio e peperoncino (lit. ' spaghetti with garlic, oil and hot chili peppers '), pasta con i peperoni cruschi (crispy peppers and breadcrumbs).
Pasta can be served also in broth (pastina, or stuffed pasta, such as tortellini, cappelletti and agnolini) or in vegetable soup, typically minestrone or bean soup (pasta e fagioli). |
synth_fc_145_rep10 | Positive | Biology | Calculation | Single | https://en.wikipedia.org/wiki/Ontogeny | 16 | Etymology
The word ontogeny comes from the Greek on meaning a being, individual; and existence, and from the suffix -geny from the Greek - geniea, meaning genesis, origin, and mode of production. |
synth_fc_1311_rep23 | Positive | Food | Entity search | Single | https://en.wikipedia.org/wiki/Sustainable_agriculture | 50 | Growing your own food
The practice of growing food in the backyard of houses, schools, etc., by families or by communities became widespread in the US at the time of World War I, the Great Depression and World War II, so that in one point of time 40% of the vegetables of the USA was produced in this way. The practice became more popular again in the time of the COVID-19 pandemic. This method permits to grow food in a relatively sustainable way and at the same time can make it easier for poor people to obtain food. |
synth_fc_3446_rep1 | Positive | Time | Database search | Single | https://en.wikipedia.org/wiki/Classical_mechanics | 12 | Hamiltonian mechanics
Hamiltonian mechanics emerged in 1833 as a reformulation of Lagrangian mechanics. Introduced by Sir William Rowan Hamilton, Hamiltonian mechanics replaces (generalized) velocities q ˙ i {\displaystyle {\dot {q}}^{i}} used in Lagrangian mechanics with (generalized) momenta. Both theories provide interpretations of classical mechanics and describe the same physical phenomena. Hamiltonian mechanics has a close relationship with geometry (notably, symplectic geometry and Poisson structures) and serves as a link between classical and quantum mechanics.
In this formalism, the dynamics of a system are governed by Hamilton's equations, which express the time derivatives of position and momentum variables in terms of partial derivatives of a function called the Hamiltonian: d q d t = ∂ H ∂ p, d p d t = − ∂ H ∂ q. {\displaystyle {\frac {\mathrm {d} {\boldsymbol {q}}}{\mathrm {d} t}}={\frac {\partial {\mathcal {H}}}{\partial {\boldsymbol {p}}}},\quad {\frac {\mathrm {d} {\boldsymbol {p}}}{\mathrm {d} t}}=-{\frac {\partial {\mathcal {H}}}{\partial {\boldsymbol {q}}}}.} The Hamiltonian is the Legendre transform of the Lagrangian, and in many situations of physical interest it is equal to the total energy of the system. |
synth_fc_244_rep4 | Positive | Biomass | Feature search | Multi | https://en.wikipedia.org/wiki/Body_louse | 5 | Origins
The body louse diverged from the head louse around 170,000 years ago, establishing the latest date for the adoption of clothing by humans. Body lice were first described by Carl Linnaeus in the 10th edition of Systema Naturae. The human body louse had its genome sequenced in 2010, and at that time it had the smallest known insect genome. The body louse belongs to the phylum Arthropoda, class Insecta, order Phthiraptera and family Pediculidae. There are roughly 5,000 species of lice described, with 4,000 parasitizing birds and an additional 800 special parasites of mammals worldwide. Lice on mammals originate on a common ancestor that lived on Afrotheria that originally acquired it from via host-switching from an ancient avian host. |
synth_fc_2120_rep14 | Positive | Law | Feature search | Single | https://en.wikipedia.org/wiki/Religious_law | 7 | Canon law
Canon law is the body of laws and regulations made by or adopted by ecclesiastical authority for the governance of the Christian organization and its members. It is the internal ecclesiastical law governing the Roman Catholic Church, the Eastern and Oriental Orthodox Churches, and the Anglican Communion of churches. The way that such church law is legislated, interpreted and at times adjudicated varies widely among these three bodies of churches. In all three traditions, a canon was initially a rule adopted by a church council (From Greek kanon / κανών, Hebrew kaneh / קנה, for rule, standard, or measure); these canons formed the foundation of canon law. |
synth_fc_653_rep14 | Positive | Currency | API setting | Single | https://en.wikipedia.org/wiki/South_Ossetia | 7 | South Ossetian ruble
South Ossetia's official circulated currency is the South Ossetian ruble, modeled off the Russian ruble, with the same denominations, decimalized to 100 Kopecks. South Ossetia mints 1, 5, 10, 20 and 50 Kopeck coins, as well as 1, 2, 5, 10, 50 and 100 ruble coins. South Ossetia does not print any paper money. The South Ossetian ruble is pegged to the Russian ruble, and is legal tender in South Ossetia, Russia, and Abkhazia, however, are in far less circulation than the Russian ruble, and are also largely ceremonial. |
synth_fc_3127_rep10 | Negative | Sport | Entity search | Single | https://en.wikipedia.org/wiki/100_metres | 26 | Top 25 junior (under-20) men
Updated July 2024 |
synth_fc_2165_rep18 | No function call | Law | Document search | Single | https://en.wikipedia.org/wiki/Peter_Abelard | 10 | Heresy trial
No sooner had he published his theological lectures, the Theologia Summi Boni, than his adversaries picked up on his rationalistic interpretation of the Trinitarian dogma. Two pupils of Anselm of Laon, Alberich of Reims and Lotulf of Lombardy, instigated proceedings against Abelard, charging him with Sabellianism in a provincial synod held at Soissons in 1121. Through irregular procedures, they obtained an official condemnation of his teaching, and Abelard was made to burn a copy of the Theologia himself. He was then sentenced to perpetual confinement in a monastery other than his own, but it seems to have been agreed in advance that this sentence would be revoked almost immediately because, after a few days in the convent of St. Medard at Soissons, Abelard returned to St. Denis. |
synth_fc_3205_rep6 | Positive | Sport | Entity search | Single | https://en.wikipedia.org/wiki/Long_jump | 4 | Assisted marks
Any performance with a following wind of more than 2.0 metres per second is not counted for record purposes. Below is a list of wind-assisted jumps (equal or superior to 8.53 m). Only best assisted mark that is superior to legal best is shown: |
synth_fc_424_rep6 | Negative | Color | Recommendation | Single | https://en.wikipedia.org/wiki/Electrical_wiring | 9 | Sweden
In Sweden, IEC 60364 is implemented through the national standard SS-436 40 000. Notable is the exception for blue, where while the colour normally is used for neutral may be used as connecting wire between switches and between switch and fixture, as well as phase wire in a two-phase circuit, all under the condition that no neutral wire is used in the particular circuit. |
synth_fc_1924_rep10 | Positive | History | Entity search | Single | https://en.wikipedia.org/wiki/Kievan_Rus%27 | 1 | Kievan Rus', also known as Kyivan Rus ', was the first East Slavic state and later an amalgam of principalities in Eastern Europe from the late 9th to the mid-13th century. Encompassing a variety of polities and peoples, including East Slavic, Norse, and Finnic, it was ruled by the Rurik dynasty, founded by the Varangian prince Rurik. The name was coined by Russian historians in the 19th century to describe the period when Kiev was at the center. At its greatest extent in the mid-11th century, Kievan Rus' stretched from the White Sea in the north to the Black Sea in the south and from the headwaters of the Vistula in the west to the Taman Peninsula in the east, uniting the East Slavic tribes.
According to the Primary Chronicle, the first ruler to unite East Slavic lands into what would become Kievan Rus' was Oleg the Wise (r. 879–912). He extended his control from Novgorod south along the Dnieper river valley to protect trade from Khazar incursions from the east, and took control of the city. Sviatoslav I (r. 943–972) achieved the first major territorial expansion of the state, fighting a war of conquest against the Khazars. Vladimir the Great (r. 980–1015) spread Christianity with his own baptism and, by decree, extended it to all inhabitants of Kiev and beyond. Kievan Rus' reached its greatest extent under Yaroslav the Wise (r. 1019–1054); his sons assembled and issued its first written legal code, the Russkaya Pravda, shortly after his death.
The state began to decline in the late 11th century, gradually disintegrating into various rival regional powers throughout the 12th century. It was further weakened by external factors, such as the decline of the Byzantine Empire, its major economic partner, and the accompanying diminution of trade routes through its territory. It finally fell to the Mongol invasion in the mid-13th century, though the Rurik dynasty would continue to rule until the death of Feodor I of Russia in 1598. The modern nations of Belarus, Russia, and Ukraine all claim Kievan Rus' as their cultural ancestor, with Belarus and Russia deriving their names from it, and the name Kievan Rus' derived from what is now the capital of Ukraine. |
synth_fc_96_rep4 | Positive | Biology | Calculation | Single | https://en.wikipedia.org/wiki/Urology | 1 | Urology (from Greek οὖρον ouron "urine" and -λογία -logia "study of"), also known as genitourinary surgery, is the branch of medicine that focuses on surgical and medical diseases of the urinary system and the reproductive organs. Organs under the domain of urology include the kidneys, adrenal glands, ureters, urinary bladder, urethra, and the male reproductive organs (testes, epididymides, vasa deferentia, seminal vesicles, prostate, and penis).
The urinary and reproductive tracts are closely linked, and disorders of one often affect the other. Thus a major spectrum of the conditions managed in urology exists under the domain of genitourinary disorders. Urology combines the management of medical (i.e., non-surgical) conditions, such as urinary-tract infections and benign prostatic hyperplasia, with the management of surgical conditions such as bladder or prostate cancer, kidney stones, congenital abnormalities, traumatic injury, and stress incontinence.
Urological techniques include minimally invasive robotic and laparoscopic surgery, laser-assisted surgeries, and other scope-guided procedures. Urologists receive training in open and minimally invasive surgical techniques, employing real-time ultrasound guidance, fiber-optic endoscopic equipment, and various lasers in the treatment of multiple benign and malignant conditions. Urology is closely related to (and urologists often collaborate with the practitioners of) oncology, nephrology, gynaecology, andrology, pediatric surgery, colorectal surgery, gastroenterology, and endocrinology.
Urology is one of the most competitive and highly sought surgical specialties for physicians, with new urologists comprising less than 1.5% of United States medical-school graduates each year.
Urologists are physicians which have specialized in the field after completing their general degree in medicine. Upon successful completion of a residency program, many urologists choose to undergo further advanced training in a subspecialty area of expertise through a fellowship lasting an additional 12 to 36 months. Subspecialties may include: urologic surgery, urologic oncology and urologic oncological surgery, endourology and endourologic surgery, urogynecology and urogynecologic surgery, reconstructive urologic surgery (a form of reconstructive surgery), minimally-invasive urologic surgery, pediatric urology and pediatric urologic surgery (including adolescent urology, the treatment of premature or delayed puberty, and the treatment of congenital urological syndromes, malformations, and deformations), transplant urology (the field of transplant medicine and surgery concerned with transplantation of organs such as the kidneys, bladder tissue, ureters, and, recently, penises), voiding dysfunction, paruresis, neurourology, and androurology and sexual medicine. Additionally, some urologists supplement their fellowships with a master's degree (2–3 years) or with a Ph.D. (4–6 years) in related topics to prepare them for academic as well as focused clinical employment. |
synth_fc_2841_rep25 | Positive | Real estate | Calculation | Multi | https://en.wikipedia.org/wiki/Phnom_Penh | 13 | Economy
Phnom Penh is Cambodia's economic centre as it accounts for a large portion of the Cambodian economy. Double-digit economic growth rates in recent years have triggered an economic boom in Phnom Penh, with new hotels, restaurants, schools, bars, high rises and residential buildings springing up in the city.
The economy is based on commercial interests such as garments, trading, and small and medium enterprises. In the past few years the property business has been booming, with rapidly increasing real estate prices. Tourism is also a major contributor in the capital as more shopping and commercial centres open, making Phnom Penh one of the major tourist destinations in South East Asia along with Siem Reap and Sihanoukville. According to the World Travel and Tourism Council, tourism made up 19.2 percent (US$2,053 million) of Cambodia's GDP in 2009 and accounts for 13.7 percent of total employment. One of the most popular areas in Phnom Penh for tourists is Sisowath Quay, alongside the Tonle Sap River. Sisowath Quay is a five kilometre strip of road that includes restaurants, bars, and hotels.
The US$2.6 billion new urban development, Camko City, is meant to bolster the city landscape. The Bureau of Urban Affairs of Phnom Penh Municipality has plans to expand and construct new infrastructure to accommodate the growing population and economy. High rise buildings will be constructed at the entrance of the city and near the lakes and riverbanks. Furthermore, new roads, canals, and a railway system will be used to connect Camko City and Phnom Penh.
Other projects include:
With booming economic growth seen since the 1990s, new shopping venues have opened, such as Sorya Center Point, Aeon Mall Phnom Penh, Aeon Mall Sen Sok City, Aeon Mall Mean Chey and Olympia Mall. Many international brands have opened such as Mango, Salvatore Ferragamo, Hugo Boss, Padini Concept Store, Lily, Timberland, Jimmy Choo, CC Double O, MO, Brands Outlet, Nike, Converse, Pony, Armani Exchange, and Super Dry.
The tallest skyscraper in Phnom Penh is Vattanac Capital Tower at a height of 188 metres (617 ft), dominating Phnom Penh's skyline with its neighbour skyscraper Canadia Tower (OCIC Tower). The tower was completed in December 2014. Modern high rises have been constructed all around the city, not concentrated in any one particular area.
The Central Market Phsar Thmei is a tourist attraction. The four wings of the yellow colored market are teeming with numerous stalls selling gold and silver jewelry, antique coins, clothing, clocks, flowers, food, fabrics and shoes. Phsar Thmei is undergoing under a major renovation, along with the creation of newer stalls. |
synth_fc_877_rep28 | Negative | Finance | Calculation | Single | https://en.wikipedia.org/wiki/Phuket_province | 17 | Sport
Phuket F.C., also known as The Southern Sea Kirins, was established in 2009 and subsequently joined the Regional League South Division. The team designated Surakul Stadium as their home ground for matches. Sirirak Konthong took the helm as the inaugural coach of the team. In their formative year, Phuket F.C. demonstrated significant progress in the league.
The 2010 season marked a notable achievement for Phuket F.C., as the team clinched the title in the Southern Regional Division 2. Despite a loss to Buriram FC in the final, Phuket F.C. secured second place in the Division 2 Champions League. This performance facilitated their promotion to the Thai Division 1 League for the 2011 season.
In 2017, Phuket F.C. was officially dissolved. This decision was influenced by financial difficulties, particularly issues surrounding the termination of contracts.
The following year, in 2018, Phuket F.C. underwent significant changes. The club merged with Banbueng F.C., a move that resulted in a substantial reorganization. By 2019, this merged entity adopted the name Phuket City. However, this renaming was short-lived. Subsequent changes in the club's management, particularly a takeover by the board members of Banbueng F.C., led to a reversion to the name Banbueng F.C. Along with this change in nomenclature, the club relocated its home ground to the IPE Chonburi Stadium in Chonburi.
In a separate development, Patong City, another football club, marked a notable milestone in 2020. The club participated in the 2020–21 Thai League 3 Southern Region, marking its first appearance in this league. This participation signified a new chapter in the club's history and its evolving presence in regional football. |
synth_fc_1209_rep17 | Positive | Finance | Feature search | Single | https://en.wikipedia.org/wiki/Bank | 15 | Business models
A bank can generate revenue in a variety of different ways including interest, transaction fees and financial advice. Traditionally, the most significant method is via charging interest on the capital it lends out to customers. The bank profits from the difference between the level of interest it pays for deposits and other sources of funds, and the level of interest it charges in its lending activities.
This difference is referred to as the spread between the cost of funds and the loan interest rate. Historically, profitability from lending activities has been cyclical and dependent on the needs and strengths of loan customers and the stage of the economic cycle. Fees and financial advice constitute a more stable revenue stream and banks have therefore placed more emphasis on these revenue lines to smooth their financial performance.
In the past 20 years, American banks have taken many measures to ensure that they remain profitable while responding to increasingly changing market conditions.
This helps in making a profit and facilitates economic development as a whole.
Recently, as banks have been faced with pressure from fintechs, new and additional business models have been suggested such as freemium, monetisation of data, white-labeling of banking and payment applications, or the cross-selling of complementary products. |
synth_fc_1887_rep24 | Positive | History | Document search | Single | https://en.wikipedia.org/wiki/Montenegro | 24 | World War II and Socialist Yugoslavia
In April 1941, Nazi Germany, the Kingdom of Italy, and other Axis allies attacked and occupied the Kingdom of Yugoslavia. Italian forces occupied Montenegro and established a puppet Kingdom of Montenegro.
In May, the Montenegrin branch of the Communist Party of Yugoslavia started preparations for an uprising planned for mid-July. The Communist Party and its Youth League organised 6,000 of its members into detachments prepared for guerrilla warfare. According to some historians, the first armed uprising in Nazi -occupied Europe happened on 13 July 1941 in Montenegro.
Unexpectedly, the uprising took hold, and by 20 July, 32,000 men and women had joined the fight. Except for the coast and major towns (Podgorica, Cetinje, Pljevlja, and Nikšić), which were besieged, Montenegro was mostly liberated. In a month of fighting, the Italian army suffered 5,000 dead, wounded, and captured. The uprising lasted until mid-August, when it was suppressed by a counter-offensive of 67,000 Italian troops brought in from Albania. Faced with new and overwhelming Italian forces, many of the fighters laid down their arms and returned home. Nevertheless, intense guerrilla fighting lasted until December.
Fighters who remained under arms fractured into two groups. Most of them went on to join the Yugoslav Partisans, consisting of communists and those inclined towards active resistance; these included Arso Jovanović, Sava Kovačević, Svetozar Vukmanović-Tempo, Milovan Đilas, Peko Dapčević, Vlado Dapčević, Veljko Vlahović, and Blažo Jovanović. Those loyal to the Karađorđević dynasty and opposing communism went on to become Chetniks, and turned to collaboration with Italians against the Partisans.
War broke out between Partisans and Chetniks during the first half of 1942. Pressured by Italians and Chetniks, the core of the Montenegrin Partisans went to Serbia and Bosnia, where they joined with other Yugoslav Partisans. Fighting between Partisans and Chetniks continued through the war. Chetniks with Italian backing controlled most of the country from mid-1942 to April 1943. Montenegrin Chetniks received the status of "anti-communist militia" and received weapons, ammunition, food rations, and money from Italy. Most of them were moved to Mostar, where they fought in the Battle of Neretva against the Partisans, but were dealt a heavy defeat.
During German operation Schwartz against the Partisans in May and June 1943, Germans disarmed many Chetniks without fighting, as they feared they would turn against them in case of an Allied invasion of the Balkans. After the capitulation of Italy in September 1943, Partisans managed to take hold of most of Montenegro for a brief time, but Montenegro was soon occupied by German forces, and fierce fighting continued during late 1943 and 1944. Montenegro was liberated by the Partisans in December 1944.
Montenegro became one of the six constituent republics of the communist Socialist Federal Republic of Yugoslavia (SFRY). Its capital became Podgorica, renamed Titograd in honour of President Josip Broz Tito. After the war, the infrastructure of Yugoslavia was rebuilt, industrialization began, and the University of Montenegro was established. Greater autonomy was established until the Socialist Republic of Montenegro ratified a new constitution in 1974. |
synth_fc_3541_rep10 | Negative | Travel itinerary | Calculation | Single | https://en.wikipedia.org/wiki/Astana | 32 | Friendly cities
Astana also cooperates with: |
synth_fc_1296_rep2 | Positive | Finance | Calculation | Multi | https://en.wikipedia.org/wiki/Inflation | 24 | Medieval Egypt
During the Malian king Mansa Musa 's hajj to Mecca in 1324, he was reportedly accompanied by a camel train that included thousands of people and nearly a hundred camels. When he passed through Cairo, he spent or gave away so much gold that it depressed its price in Egypt for over a decade, reducing its purchasing power. A contemporary Arab historian remarked about Mansa Musa's visit:
Gold was at a high price in Egypt until they came in that year. The mithqal did not go below 25 dirhams and was generally above, but from that time its value fell and it cheapened in price and has remained cheap till now. The mithqal does not exceed 22 dirhams or less. This has been the state of affairs for about twelve years until this day by reason of the large amount of gold which they brought into Egypt and spent there. |
synth_fc_2313_rep20 | No function call | Law | Feature search | Single | https://en.wikipedia.org/wiki/Island | 2 | Artificial islands
For hundreds of years, islands have been created through land reclamation. One of the first recorded instances of this when people of the Solomon Islands created eighty such islands by piling coral and rock in the Lau Lagoon. One traditional way of constructing islands is with the use of a revetment. Sandbags or stones are dropped with a barge into the sea to bring the land level slightly out of the water. The island area is then filled with sand or gravel, followed by a construction of this revetment to hold it together. Islands have also been constructed with a permanent caisson, a steel or concrete structure built in a closed loop and then filled with sand.
Some modern islands have been constructed by pouring millions of tons of sand into the sea, such as with Pearl Island in Qatar or the Palm Islands in Dubai. These islands are usually created for real estate development, and are sold for private ownership or construction of housing. Offshore oil platforms have also been described as a type of island. Some atolls have been covered in concrete to create artificial islands for military purposes, such as those created by China in the South China Sea. These atolls were previously low-tide elevations, landmasses that are only above water during low tide. The United Nations Convention on the Law of the Sea indicates that these islands may not have the same legal status as a naturally occurring island, and as such may not confer the same legal rights. |
synth_fc_2040_rep5 | Negative | Hotel | Entity search | Single | https://en.wikipedia.org/wiki/Steve_Wynn | 1 | Stephen Alan Wynn is an American real estate developer and art collector. He was known for his involvement in the luxury casino and hotel industry, prior to being forced to step down. Early in his career he oversaw the construction and operation of several notable Las Vegas and Atlantic City hotels, including the Golden Nugget, the Golden Nugget Atlantic City, The Mirage, Treasure Island, the Bellagio, and Beau Rivage in Mississippi, and he played a pivotal role in the resurgence and expansion of the Las Vegas Strip in the 1990s. In 2000, Wynn sold his company, Mirage Resorts, to MGM Grand Inc., resulting in the formation of MGM Mirage. Wynn later took his company Wynn Resorts public in an initial public offering and was Wynn Resorts' CEO and Chairman of the Board until February 6, 2018, when he announced his resignation. He is a prominent donor to the Republican Party and was the finance chair of the Republican National Committee from January 2017 to January 2018, when he resigned amid sexual misconduct allegations. Through Wynn Resorts, he has overseen the construction and development of several luxury resorts, opening Wynn Las Vegas in 2005, Wynn Macau in 2006, Encore Las Vegas in 2008, Encore at Wynn Macau in 2010 and Wynn Palace in Macau in 2016, and Wynn Everett near Boston which opened in June 2019 under the name Encore Boston Harbor. In 2006, Wynn was inducted into the American Gaming Association Hall of Fame. As of September 2015, Wynn's net worth was estimated by Forbes at $2.4 billion, making him the 279th wealthiest American. Steve Wynn collects fine art, including pieces by artists such as Picasso and Claude Monet. On February 6, 2018, Wynn stepped down as CEO of Wynn Resorts amid accusations of sexual misconduct including harassment, assault, and coercion. Wynn has denied the allegations. |
synth_fc_2771_rep25 | Positive | Physics & Chemistry | Database update | Multi | https://en.wikipedia.org/wiki/Interest | 8 | In the history of mathematics
It is thought that Jacob Bernoulli discovered the mathematical constant e by studying a question about compound interest. He realized that if an account that starts with $1.00 and pays say 100% interest per year, at the end of the year, the value is $2.00; but if the interest is computed and added twice in the year, the $1 is multiplied by 1.5 twice, yielding $1.00 × 1.5 = $2.25. Compounding quarterly yields $1.00 × 1.25 = $2.4414..., and so on.
Bernoulli noticed that if the frequency of compounding is increased without limit, this sequence can be modeled as follows:
where n is the number of times the interest is to be compounded in a year. |
synth_fc_16_rep13 | Positive | Acoustics | Calculation | Multi | https://en.wikipedia.org/wiki/Baritone | 1 | A baritone is a type of classical male singing voice whose vocal range lies between the bass and the tenor voice-types. The term originates from the Greek βαρύτονος (barýtonos), meaning "heavy sounding". Composers typically write music for this voice in the range from the second F below middle C to the F above middle C (i.e. F2–F4) in choral music, and from the second G below middle C to the G above middle C (G2 to G4) in operatic music, but the range can extend at either end. Subtypes of baritone include the baryton-Martin baritone (light baritone), lyric baritone, Kavalierbariton, Verdi baritone, dramatic baritone, baryton-noble baritone, and the bass-baritone. |
synth_fc_3646_rep16 | Positive | Video game | Feature search | Single | https://en.wikipedia.org/wiki/Moment_of_inertia | 32 | Kinetic energy
The kinetic energy of a rigid system of particles can be formulated in terms of the center of mass and a matrix of mass moments of inertia of the system. Let the system of n {\displaystyle n} particles P i, i = 1, …, n {\displaystyle P_{i},i=1,\dots,n} be located at the coordinates r i {\displaystyle \mathbf {r} _{i}} with velocities v i {\displaystyle \mathbf {v} _{i}}, then the kinetic energy is E K = 1 2 ∑ i = 1 n m i v i ⋅ v i = 1 2 ∑ i = 1 n m i (ω × Δ r i + V C) ⋅ (ω × Δ r i + V C), {\displaystyle E_{\text{K}}={\frac {1}{2}}\sum _{i=1}^{n}m_{i}\mathbf {v} _{i}\cdot \mathbf {v} _{i}={\frac {1}{2}}\sum _{i=1}^{n}m_{i}\left({\boldsymbol {\omega }}\times \Delta \mathbf {r} _{i}+\mathbf {V} _{\mathbf {C} }\right)\cdot \left({\boldsymbol {\omega }}\times \Delta \mathbf {r} _{i}+\mathbf {V} _{\mathbf {C} }\right),} where Δ r i = r i − C {\displaystyle \Delta \mathbf {r} _{i}=\mathbf {r} _{i}-\mathbf {C} } is the position vector of a particle relative to the center of mass.
This equation expands to yield three terms E K = 1 2 (∑ i = 1 n m i (ω × Δ r i) ⋅ (ω × Δ r i)) + (∑ i = 1 n m i V C ⋅ (ω × Δ r i)) + 1 2 (∑ i = 1 n m i V C ⋅ V C). {\displaystyle E_{\text{K}}={\frac {1}{2}}\left(\sum _{i=1}^{n}m_{i}\left({\boldsymbol {\omega }}\times \Delta \mathbf {r} _{i}\right)\cdot \left({\boldsymbol {\omega }}\times \Delta \mathbf {r} _{i}\right)\right)+\left(\sum _{i=1}^{n}m_{i}\mathbf {V} _{\mathbf {C} }\cdot \left({\boldsymbol {\omega }}\times \Delta \mathbf {r} _{i}\right)\right)+{\frac {1}{2}}\left(\sum _{i=1}^{n}m_{i}\mathbf {V} _{\mathbf {C} }\cdot \mathbf {V} _{\mathbf {C} }\right).}
Since the center of mass is defined by ∑ i = 1 n m i Δ r i = 0 {\displaystyle \sum _{i=1}^{n}m_{i}\Delta \mathbf {r} _{i}=0}, the second term in this equation is zero. Introduce the skew-symmetric matrix {\displaystyle } so the kinetic energy becomes E K = 1 2 (∑ i = 1 n m i (ω) ⋅ (ω)) + 1 2 (∑ i = 1 n m i) V C ⋅ V C = 1 2 (∑ i = 1 n m i (ω T T ω)) + 1 2 (∑ i = 1 n m i) V C ⋅ V C = 1 2 ω ⋅ (− ∑ i = 1 n m i 2) ω + 1 2 (∑ i = 1 n m i) V C ⋅ V C. {\displaystyle {\begin{aligned}E_{\text{K}}&={\frac {1}{2}}\left(\sum _{i=1}^{n}m_{i}\left(\left{\boldsymbol {\omega }}\right)\cdot \left(\left{\boldsymbol {\omega }}\right)\right)+{\frac {1}{2}}\left(\sum _{i=1}^{n}m_{i}\right)\mathbf {V} _{\mathbf {C} }\cdot \mathbf {V} _{\mathbf {C} }\\&={\frac {1}{2}}\left(\sum _{i=1}^{n}m_{i}\left({\boldsymbol {\omega }}^{\mathsf {T}}\left^{\mathsf {T}}\left{\boldsymbol {\omega }}\right)\right)+{\frac {1}{2}}\left(\sum _{i=1}^{n}m_{i}\right)\mathbf {V} _{\mathbf {C} }\cdot \mathbf {V} _{\mathbf {C} }\\&={\frac {1}{2}}{\boldsymbol {\omega }}\cdot \left(-\sum _{i=1}^{n}m_{i}\left^{2}\right){\boldsymbol {\omega }}+{\frac {1}{2}}\left(\sum _{i=1}^{n}m_{i}\right)\mathbf {V} _{\mathbf {C} }\cdot \mathbf {V} _{\mathbf {C} }.\end{aligned}}}
Thus, the kinetic energy of the rigid system of particles is given by E K = 1 2 ω ⋅ I C ω + 1 2 M V C 2. {\displaystyle E_{\text{K}}={\frac {1}{2}}{\boldsymbol {\omega }}\cdot \mathbf {I} _{\mathbf {C} }{\boldsymbol {\omega }}+{\frac {1}{2}}M\mathbf {V} _{\mathbf {C} }^{2}.} where I C {\displaystyle \mathbf {I_{C}} } is the inertia matrix relative to the center of mass and M {\displaystyle M} is the total mass. |
synth_fc_3173_rep24 | Positive | Sport | Ranking | Single | https://en.wikipedia.org/wiki/Trinidad_and_Tobago | 19 | Cricket
Cricket is a popular sport of Trinidad and Tobago, often deemed the national sport, and there is intense inter-island rivalry with its Caribbean neighbours. Trinidad and Tobago is represented at Test cricket, One Day International as well as Twenty20 cricket level as a member of the West Indies team. The national team plays at the first-class level in regional competitions such as the Regional Four Day Competition and Regional Super50. Meanwhile, the Trinbago Knight Riders play in the Caribbean Premier League.
The Queen's Park Oval located in Port of Spain is the largest cricket ground in the West Indies, having hosted 60 Test matches as of January 2018. Trinidad and Tobago along with other islands from the Caribbean co-hosted the 2007 Cricket World Cup.
Brian Lara, world record holder for the most runs scored both in a Test and in a First Class innings amongst other records, was born in the small town of Santa Cruz and is often referred to as the Prince of Port of Spain or simply the Prince. This legendary West Indian batsman is widely regarded. |
synth_fc_2949_rep5 | Positive | School | Database search | Single | https://en.wikipedia.org/wiki/Algerian_War | 13 | Continued controversy in France
The Algerian War remains a contentious event. According to the historian Benjamin Stora, one of the leading historians on the war, memories concerning the war remain fragmented, with no common ground to speak of:
There is no such thing as a history of the Algerian War; there is just a multitude of histories and personal paths through it. Everyone involved considers that they lived through it in their own way, and any attempt to understand the Algerian War globally is immediately rejected by protagonists.
Even though Stora has counted 3,000 publications in French on the war, there still is no work produced by French and Algerian authors co-operating with each other. Although according to Stora, there can "no longer be talk about a 'war without a name', a number of problems remain, especially the absence of sites in France to commemorate" the war. Furthermore, conflicts have arisen on an exact commemoration date to end the war. Although many sources as well as the French state place it on 19 March 1962, the Évian Agreements, others point out that massacres of harkis and the kidnapping of pieds-noirs took place later. Stora further points out, "The phase of memorial reconciliation between the two sides of the sea is still a long way off." That was evidenced by the National Assembly 's creation of the law on colonialism on 23 February 2005 that asserted that colonialism had overall been "positive".
Alongside a heated debate in France, the February 23, 2005, law had the effect of jeopardising the treaty of friendship that President Chirac was supposed to sign with President Abdelaziz Bouteflika, which was no longer on the agenda. Following that controversial law, Bouteflika has talked about a cultural genocide, particularly referring to the 1945 Sétif massacre. Chirac finally had the law repealed by a complex institutional mechanism.
Another matter concerns the teaching of the war as well as of colonialism and decolonization, particularly in French secondary schools. Hence, there is only one reference to racism in a French textbook, one published by Bréal publishers for terminales students, those passing their baccalauréat. Thus, many are not surprised that the first to speak about the Paris massacre of 1961 were music bands, including hip-hop bands such as the famous Suprême NTM (les Arabes dans la Seine) or politically-engaged La Rumeur. Indeed, the Algerian War is not even the subject of a specific chapter in the textbook for terminales Henceforth, Benjamin Stora stated:
As Algerians do not appear in an "indigenous" condition, and their sub-citizens status, as the history of nationalist movement, is never evoked as their being one of great figures of the resistance, such as Messali Hadj and Ferhat Abbas. They neither emerge nor are being given attention. No one is explaining to students what colonization has been. We have prevented students from understanding why the decolonization took place. |
synth_fc_1106_rep27 | No function call | Finance | Feature search | Single | https://en.wikipedia.org/wiki/Faisalabad | 1 | Faisalabad (/ f ɑː ɪ s ɑː l ˌ b ɑː d /; Punjabi, Urdu: فیصل آباد, Punjabi pronunciation:; Urdu pronunciation:), formerly known as Lyallpur (Punjabi, Urdu: لائل پور), is the second largest city and industrial centre of the Pakistani province of Punjab. It is an industrial and metropolitan hub, being the third most populous city in Pakistan, with an estimated population of 3.8 million in 2024. Located in central Punjab's Rachna Do'āb, between the Ravi and Chenab rivers, it is the second-largest Punjabi-speaking city in the world. Faisalabad is one of Pakistan's wealthiest and most industrialized city, the largest industrial hub and second largest city of the wider Punjab region.
Historically one of the largest villages of Punjab, Lyallpur was one of the first planned cities within British India. It has long since developed into a cosmopolitan metropolis. Faisalabad was restructured into city district status; a devolution promulgated by the 2001 local government ordinance (LGO). The total area of Faisalabad District is 5,856 km (2,261 sq mi) while the area controlled by the Faisalabad Development Authority (FDA) is 1,326 km (512 sq mi).
Faisalabad has grown to become a major industrial and distribution centre because of its central location in the region and connecting roads, rails, and air transportation. It has been referred to as the Manchester of Pakistan because of its extensive textile industry. As of 2013, the GDP of Faisalabad was estimated at $43 billion and projected to rise to $87 billion in 2025 at a growth rate of 5.7%. Faisalabad contributes over 10 percent to the Punjab's GDP and has an average annual GDP (nominal) of $20.5 billion. Agriculture and industry remain its hallmarks. |
synth_fc_1853_rep4 | Negative | History | Entity search | Single | https://en.wikipedia.org/wiki/Pope_Pius_IX | 24 | German Empire
In Germany, the state of Prussia, under the leadership of Otto von Bismarck, saw Catholicism as a dangerous foreign influence, and in 1872–1878 fought hard to reduce the power of the pope and the bishops. After years of struggle in the Kulturkampf, the Catholics fought back by mobilising their voters in Prussia and in Germany as a whole. After Pius died, Bismarck came to terms with the new Pope Leo XIII. He dropped his alliance with the anti-Catholic Liberals and instead formed a political coalition with the Catholic Centre Party. |
synth_fc_1593_rep28 | Positive | Geography | Database search | Single | https://en.wikipedia.org/wiki/Leif_Erikson | 13 | Personal life
Leif has been described in the Vinland sagas as a wise, considerate and strong man of striking appearance. When he was of a proper age, Leif went to Norway, likely to serve as a retainer to its king, Olaf Tryggvason. It was on this journey to Norway that the Saga of Erik the Red states that Leif's ship was driven to the Hebrides, where he and his crew were forced to remain for much of the summer, awaiting favorable winds. During his stay there, Leif fell in love with a noblewoman, Thorgunna, who gave birth to their son Thorgils. Thorgunna remained in the Hebrides when Leif left, as he refused to take her along without permission from her family. Thorgils was later sent to Leif in Greenland, but he did not become popular.
After arriving at the court of Norway's King Olaf Tryggvason, Leif was converted to Christianity. According to both the Saga of Erik the Red, and Olaf Tryggvason's Saga as found in Heimskringla, after Leif's conversion, the king then commissioned him to return to Greenland to convert the settlers there. During the journey, he was blown off course and discovered Vinland before finding his way to Greenland. Leif's father Erik reacted coldly to the suggestion that he should abandon his religion, while his mother Thjóðhildr became a Christian and built a church called Thjóðhild's Church. A different version of Olaf Tryggvason's Saga, found in Flateyjarbók, makes no reference to Leif being blown off course and discovering Vinland during his return from Norway, but indicates that after arriving in Greenland, all of that country was converted, including Leif's father Erik. Some versions of Olaf Tryggvason's Saga also indicate that to help with the conversion, Leif brought a priest and clerics with him to Greenland. |
synth_fc_1314_rep11 | Positive | Food | Feature search | Single | https://en.wikipedia.org/wiki/Beer | 15 | Packaging
Most beers are cleared of yeast by filtering when packaged in bottles and cans. However, bottle conditioned beers retain some yeast—either by being unfiltered, or by being filtered and then reseeded with fresh yeast. It is usually recommended that the beer be poured slowly, leaving any yeast sediment at the bottom of the bottle. However, some drinkers prefer to pour in the yeast; this practice is customary with wheat beers. Typically, when serving a hefeweizen wheat beer, 90% of the contents are poured, and the remainder is swirled to suspend the sediment before pouring it into the glass. Alternatively, the bottle may be inverted prior to opening. Glass bottles are always used for bottle conditioned beers.
Many beers are sold in cans, though there is considerable variation in the proportion between different countries. In Sweden in 2001, 63.9% of beer was sold in cans. People either drink from the can or pour the beer into a glass. A technology developed by Crown Holdings for the 2010 FIFA World Cup is the 'full aperture' can, so named because the entire lid is removed during the opening process, turning the can into a drinking cup. Cans protect the beer from light (thereby preventing "skunked" beer) and have a seal less prone to leaking over time than bottles. Cans were initially viewed as a technological breakthrough for maintaining the quality of a beer, then became commonly associated with less expensive, mass-produced beers, even though the quality of storage in cans is much like bottles. Plastic (PET) bottles are used by some breweries. |
synth_fc_1241_rep14 | Positive | Finance | Calculation | Single | https://en.wikipedia.org/wiki/Palau | 9 | Economy
Palau's economy consists primarily of tourism, subsistence agriculture, and fishing. Tourist activity focuses on scuba diving and snorkeling in the islands' rich marine environment, including its barrier reefs ' walls and World War II wrecks. In April 2022, Palau launched Ol'au Palau, a responsible tourism program aimed to preserve the country's natural environment and traditional culture. The government is the largest employer, relying heavily on US financial assistance. Business and tourist arrivals numbered some 50,000 in fiscal year 2000–2001.
Although Palau's ship registry represents less than 0.001% of the world fleet of commercial ships, it contains almost 60% of last-voyage flags in 2019. It suggests that the registry is used by shipping companies to evade end-of-life responsibilities. These responsibilities entail the decommissioning of a ship in such a way that the environmental impact and labor conditions are in order.
The population enjoys a per capita income twice that of Micronesia as a whole. Long-term prospects for the key tourist sector have been greatly bolstered by the expansion of air travel in the Pacific Rim, the rising prosperity of leading East Asian countries and the willingness of foreigners to finance infrastructure development.
In November 2006, Pacific Saving Bank officially announced bankruptcy. On 13 December 2006, the Palau Horizon reported that 641 depositors had been affected. Among them, 398 held less than US$ 5,000, with the remainder ranging from US$5,000 to US$2 million. On 12 December, 79 affected people received compensation. Toribiong said, "The fund for the payout came from the balance of the Palau government's loan from Taiwan." From a total of US$1 million, which originally was for assisting Palau's development, US$955,000 was left at the time of bankruptcy. Toribiong requested the Taiwanese government use the balance to repay its loans. Taiwan agreed to the request. The compensation would include those who held less than US$4,000 in an account.
The income tax has three brackets with progressive rates of 9.3 percent, 15 percent, and 19.6 percent respectively. Corporate tax is four percent, and the Palau Goods and Services Tax was introduced on 1 January 2023. It is a broad-based tax of 10%, applied to most goods and services and other items sold or consumed in Palau. There are no property taxes.
Major tourist draws in Palau include Rock Islands Southern Lagoon, a UNESCO World Heritage Site, and four tentative UNESCO sites, namely, Ouballang ra Ngebedech (Ngebedech Terraces), Imeong Conservation Area, Yapease Quarry Sites, and Tet el Bad (Stone Coffin). |
synth_fc_2271_rep14 | Positive | Law | Feature search | Single | https://en.wikipedia.org/wiki/Civil_law_(legal_system) | 10 | Prominent civil codes
A prominent example of a civil law code is the Napoleonic Code (1804), named after French emperor Napoleon. The Napoleonic code comprises three components:
Another prominent civil code is the German Civil Code (Bürgerliches Gesetzbuch or BGB), which went into effect in the German empire in 1900. The German Civil Code is highly influential, inspiring the civil codes in countries such as Japan, South Korea and Switzerland (1907). It is divided into five parts: |
synth_fc_586_rep8 | Positive | Corporate Management | Database search | Multi | https://en.wikipedia.org/wiki/Airport | 36 | Price regulation
Many airports are local monopolies. To prevent them from abusing their market power, governments regulate how much airports may charge to airlines, using price-cap regulation. |
synth_fc_967_rep24 | Positive | Finance | Feature search | Single | https://en.wikipedia.org/wiki/Maximilian_I,_Holy_Roman_Emperor | 2 | Appearance and personality
Maximilian was strongly built with an upright posture (he was over six feet tall), had blue eyes, neck length blond or reddish hair, a large hooked nose and a jutting jaw (like his father, he always shaved his beard, as the jutting jaw was considered a noble feature). Although not conventionally handsome, he was well-proportioned and considered physically attractive, with abiding youthfulness and an affable, pleasing manner. A womanizer since his teenager days, he increasingly sought distraction from the tragedy of the first marriage and the frustration of the second marriage in the company of "sleeping women" in all corners of his empire. Sigrid-Maria Grössing describes him as a charming heartbreaker for all his life. He could manoeuvre with one hand a seven-meter lance comfortably.
Maximilian was a late developer. According to his teacher Johannes Cuspinian, he did not speak until he was nine-years-old, and after that only developed slowly. Frederick III recalled that when his son was twelve, he still thought that the boy was either mute or stupid. In his adulthood, he spoke six languages (he learned French from his wife Mary) and was a genuinely talented author. Other than languages, mathematics and religion, he painted and played various instruments and was also trained in farming, carpentry and blacksmithing, although the focus of his education was naturally kingship. According to Fichtner, he did not learn much from formal training though, because even as a boy, he never sat still and tutors could not do much about that. Gerhard Benecke opines that by nature he was the man of action, a "vigorously charming extrovert" who had a "conventionally superficial interest in knowledge, science and art combined with excellent health in his youth" (he remained virile into his late thirties and although later his health was damaged due to a leg accident and other ailments, the emperor displayed remarkable self-discipline and hardly ever recognized a weakness; at the 1510 Reichstag in Augsburg, Maximilian, 51, fought against Frederick of Saxony, 47, in front of a large audience.). He was brave to the point of recklessness, and this did not only show in battles. He once entered a lion's enclosure in Munich alone to tease the lion, and at another point climbed to the top of the Cathedral of Ulm, stood on one foot and turned himself round to gain a full view, at the trepidation of his attendants. In the nineteenth century, an Austrian officer lost his life trying to repeat the emperor's "feat", while another succeeded. While he paid magnificently for a princely style, he required little for personal needs. In his mature years, he exerted restraint on personal habits, except during his depressive phases (when he drank night and day, sometimes incapacitating the government, to the great annoyance of Chancellor Zyprian von Sernteiner) or in the companion of his artist friends. The artists got preferential treatment in criminal matters too, such as the case of Veit Stoss, whose sentence (imprisonment and having his hands chopped off for an actual crime) issued by Nuremberg got cancelled on the sole basis of genius. The emperor's reasoning was that, what came as a gift from God should not be treated according to usual norms or human proportions. To the astonishment of contemporaries, he laughed at the satire directed against his person and organized celebrations after defeats.
Historian Ernst Bock, with whom Benecke shares the same sentiment, writes the following about him:
His rosy optimism and utilitarianism, his totally naive amorality in matters political, both unscrupulous and machiavellian; his sensuous and earthy naturalness, his exceptional receptiveness towards anything beautiful especially in the visual arts, but also towards the various fashions of his time whether the nationalism in politics, the humanism in literature and philosophy or in matters of economics and capitalism; further his surprising yearning for personal fame combined with a striving for popularity, above all the clear consciousness of a developed individuality: these properties Maximilian displayed again and again.
Historian Paula Fichtner describes Maximilian as a leader who was ambitious and imaginative to a fault, with self-publicizing tendencies as well as territorial and administrative ambitions that betrayed a nature both "soaring and recognizably modern", while dismissing Benecke's presentation of Maximilian as "an insensitive agent of exploitation" as influenced by the author's personal political leaning.
Berenger and Simpson consider Maximilian a greedy Renaissance prince, and also, "a prodigious man of action whose chief fault was to have 'too many irons in the fire'". On the other hand, Steven Beller criticizes him for being too much of a medieval knight who had a hectic schedule of warring, always crisscrossing the whole continent to do battles (for example, in August 1513, he commanded Henry VIII's English army in the second Guinegate, and a few weeks later joined the Spanish forces in defeating the Venetians) with little resources to support his ambitions. According to Beller, Maximilian should have spent more time at home persuading the estates to adopt a more efficient governmental and fiscal system.
Thomas A. Brady Jr. praises the emperor's sense of honour, but criticizes his financial immorality—according to Geoffrey Parker, both points, together with Maximilian's martial qualities and hard-working nature, would be inherited from the grandfather by Charles V:
though punctilious to a fault about his honor, he lacked all morals about money. Every florin was spent, mortgaged, and promised ten times over before it ever came in; he set his courtiers a model for their infamous venality; he sometimes had to leave his queen behind as pledge for his debts; and he borrowed continuously from his servitors—large sums from top officials, tiny ones from servants—and never repaid them. Those who liked him tried to make excuses.
Certain English sources describe him as a ruler who habitually failed to keep his words. According to Wiesflecker, people could often depend on his promises more than those of most princes of his days, although he was no stranger to the "clausola francese" and also tended to use a wide variety of statements to cover his true intentions, which unjustly earned him the reputation of being fickle. Hollegger concurs that Maximilian's court officials, except Eitelfriedrich von Zollern and Wolfgang von Fürstenberg, did expect gifts and money for tips and help, and the emperor usually defended his counselors and servants even if he acted against the more blatant displays of material greed. Maximilian though was not a man who could be controlled or influenced easily by his officials. Hollegger also opines that while many of his political and artistic schemes leaned towards megalomania, there was a sober realist who believed in progression and relied on modern modes of management underneath. Personally, "frequently described as humane, gentle, and friendly, he reacted with anger, violence, and vengefulness when he felt his rights had been injured or his honor threatened, both of which he valued greatly." The price for his warlike ruling style and his ambition for a globalized monarchy (that ultimately achieved considerable successes) was a continuous succession of war, that earned him the sobriquet "Heart of steel" (Coeur d'acier). |
synth_fc_1935_rep27 | Negative | History | Entity search | Single | https://en.wikipedia.org/wiki/Averroes | 9 | Astronomy
As did Avempace and Ibn Tufail, Averroes criticizes the Ptolemaic system using philosophical arguments and rejects the use of eccentrics and epicycles to explain the apparent motions of the Moon, the Sun and the planets. He argued that those objects move uniformly in a strictly circular motion around the Earth, following Aristotelian principles. He postulates that there are three type of planetary motions; those that can be seen with the naked eye, those that requires instruments to observe and those that can only be known by philosophical reasoning. Averroes argues that the occasional opaque colors of the Moon are caused by variations in its thickness; the thicker parts receive more light from the Sun—and therefore emit more light—than the thinner parts. This explanation was used up to the seventeenth century by the European Scholastics to account for Galileo 's observations of spots on the Moon's surface, until the Scholastics such as Antoine Goudin in 1668 conceded that the observation was more likely caused by mountains on the Moon. He and Ibn Bajja observed sunspots, which they thought were transits of Venus and Mercury between the Sun and the Earth. In 1153 he conducted astronomical observations in Marrakesh, where he observed the star Canopus (Arabic: Suhayl) which was invisible in the latitude of his native Spain. He used this observation to support Aristotle's argument for the spherical Earth.
Averroes was aware that Arabic and Andalusian astronomers of his time focused on "mathematical" astronomy, which enabled accurate predictions through calculations but did not provide a detailed physical explanation of how the universe worked. According to him, "the astronomy of our time offers no truth, but only agrees with the calculations and not with what exists." He attempted to reform astronomy to be reconciled with physics, especially the physics of Aristotle. His long commentary of Aristotle's Metaphysics describes the principles of his attempted reform, but later in his life he declared that his attempts had failed. He confessed that he had not enough time or knowledge to reconcile the observed planetary motions with Aristotelian principles. In addition, he did not know the works of Eudoxus and Callippus, and so he missed the context of some of Aristotle's astronomical works. However, his works influenced astronomer Nur ad-Din al-Bitruji (d. 1204) who adopted most of his reform principles and did succeed in proposing an early astronomical system based on Aristotelian physics. |
synth_fc_1015_rep10 | Negative | Finance | Feature search | Single | https://en.wikipedia.org/wiki/ARD_(broadcaster) | 1 | ARD is a joint organisation of Germany's regional public-service broadcasters. It was founded in 1950 in West Germany to represent the common interests of the new, decentralised, post-war broadcasting services – in particular the introduction of a joint television network. The ARD has a budget of €6.9 billion, 22,612 employees and is the largest public broadcaster network in the world. The budget comes primarily from a mandatory licence fee which every household, company and public institution, regardless of television ownership, is required by law to pay. For an ordinary household the fee is €18.36 per month, as of 2023. Households living on welfare are exempt from the fee. The fees are not collected directly by the ARD, but by the Beitragsservice, a common organisation by the ARD member broadcasters, the second public TV broadcaster ZDF, and Deutschlandradio. ARD maintains and operates a national television network, called Das Erste to differentiate it from ZDF, a.k.a. "das Zweite", which started in 1963, as a separate public TV broadcaster. The ARD network began broadcasting on 31 October 1954 under the name of Deutsches Fernsehen, becoming Erstes Deutsches Fernsehen with a corporate redesign in 1984; it adopted its current short name in 1994. ARD's programmes are aired over its own terrestrial broadcast network, as well as via cable, satellite and IPTV. ARD also produces two free-to-air channels and participates in the production of Phoenix, KiKa (kids-oriented), 3sat (cultural-oriented), arte, and Funk. ARD's programming is produced by its regional members, which operate 54 regional and local radio stations and seven regional TV networks, some of which have opt-outs at during the day. Deutsche Welle, Germany's international broadcaster, is also a member of ARD. |
synth_fc_1868_rep25 | Positive | History | Entity search | Multi | https://en.wikipedia.org/wiki/Kanishka | 1 | Kanishka I,1 also known as Kanishka the Great, was an emperor of the Kushan dynasty, under whose reign (c. 127 –150 CE) the empire reached its zenith. He is famous for his military, political, and spiritual achievements. A descendant of Kujula Kadphises, founder of the Kushan empire, Kanishka came to rule an empire extending from Central Asia and Gandhara to Pataliputra on the Gangetic plain. The main capital of his empire was located at Puruṣapura (Peshawar) in Gandhara, with another major capital at Mathura. Coins of Kanishka were found in Tripuri (present-day Jabalpur).
Although he never converted to the religion, his conquests and patronage of Buddhism played an important role in the development of the Silk Road, and in the transmission of Mahayana Buddhism from Gandhara across the Karakoram range to China. Around 127 CE, he replaced Greek with Bactrian as the official language of administration in the empire.
Earlier scholars believed that Kanishka ascended the Kushan throne in 78 CE, and that this date was used as the beginning of the Saka calendar era. However, historians no longer regard this date as that of Kanishka's accession. Falk estimates that Kanishka came to the throne in 127 CE. |
synth_fc_988_rep13 | Negative | Finance | Calculation | Single | https://en.wikipedia.org/wiki/Lease | 1 | A lease is a contractual arrangement calling for the user to pay the owner for the use of an asset. Property, buildings and vehicles are common assets that are leased. Industrial or business equipment are also leased. In essence, a lease agreement is a contract between two parties: the lessor and the lessee. The lessor is the legal owner of the asset, while the lessee obtains the right to use the asset in return for regular rental payments. The lessee also agrees to abide by various conditions regarding their use of the property or equipment. For example, a person leasing a car may agree to the condition that the car will only be used for personal use. The term rental agreement can refer to two kinds of leases:
- A lease in which the asset is tangible property. Here, the user rents the asset let out or rented out by the owner. Examples of a lease for intangible property include use of a computer program, or use of a radio frequency.
- A periodic lease agreement internationally and in some regions of the United States. |
synth_fc_3638_rep28 | Positive | Video game | Entity search | Single | https://en.wikipedia.org/wiki/Wonder_Woman | 37 | Early history
Diana, Princess of the Amazons of Earth-Two, was born on the mystical Paradise Island several hundred years before becoming known as Wonder Woman. Isolated from the cruelty and corruption of men, the Amazons lived and worked in peace and obeyed the will of Aphrodite and Athena. Longing for a child of her own, Hippolyta (Queen of the Amazons) begged the gods to grant her request and turn her clay statue into a real girl. In sympathy, Aphrodite relented and animated the statue; the girl leaped off the pedestal into her mother's arms. Hippolyta named her for the moon goddess, Diana (who became her godmother).
Hippolyta raised her daughter as an Amazon, with the privileges of royalty. Diana aged slowly, stopping aging when reaching adulthood (as did all Amazons). She surpassed most of her Amazon sisters in skills and intelligence, running faster than a deer at age five and easily uprooting a tree at three.
Diana was a contented Amazon until Captain Steve Trevor crash-landed on Paradise Island. Although she had never seen a man before, Diana was attracted to him (despite his injuries). Violating the island rule against taking in outsiders, Diana brought the unconscious Trevor back to the Amazons in an attempt to save his life. In response to her pleas, Hippolyta used the healing Purple Ray on Trevor and saved his life.
Discovering that the outside world was at war, Diana wanted to help stop it. Hippolyta refused, saying that they should not involve themselves in the ways of outsiders. However, the goddesses Aphrodite and Athena appeared to Hippolyta; they said it was time for an Amazon to travel to "Man's World" and fight the Nazis. Ares felt that he ruled the world; Aphrodite wanted to help America win, claiming it was the last citadel of democracy. A tournament was held to determine the Amazon champion; although forbidden by Hippolyta to participate, Princess Diana concealed her identity with a mask. After winning all the contests Diana revealed her identity to her mother, who feared she would never see her daughter again.
However, Hippolyta allowed her daughter to dress as Wonder Woman and travel to the outside world. Diana returned Steve Trevor to the United States, adopting the identity of a U.S. Army nurse (Diana Prince) so she could stay with Trevor as he recovered; she helped him against a Japanese agent.
Diana began to appear publicly as Wonder Woman. As Earth-Two Diana Prince, she joined the U.S. Navy as a lieutenant and became Col. Darnell's secretary. In actual Golden Age comics, the character joins the U.S. Army and in one occasion returned to nursing. The real Diana Prince later returned and tried to assume Diana's role, since her inventor husband was having financial trouble selling his weapon to the army. Wonder Woman saved Diana when she is kidnapped by a Japanese agent trying to steal the weapon; when it is successful Diana Prince began using her married name, leaving Wonder Woman in her identity.
Diana continued fighting crime with the Justice Society of America (on Earth-Two) as their first female member, although she was relegated to secretarial work for the Justice Society (despite her super powers). She was shown taking dictation and typing the team's minutes as Wonder Woman. Diana rejoined the team when it reformed and expanded (as the All-Star Squadron). She continued fighting crime after the war and resisted being recalled to Paradise Island, preferring to surrender her immortality rather than her independence. |
synth_fc_3289_rep24 | Positive | Sport | Entity search | Single | https://en.wikipedia.org/wiki/Dynamical_systems_theory | 2 | In biomechanics
In sports biomechanics, dynamical systems theory has emerged in the movement sciences as a viable framework for modeling athletic performance and efficiency. It comes as no surprise, since dynamical systems theory has its roots in Analytical mechanics. From psychophysiological perspective, the human movement system is a highly intricate network of co-dependent sub-systems (e.g. respiratory, circulatory, nervous, skeletomuscular, perceptual) that are composed of a large number of interacting components (e.g. blood cells, oxygen molecules, muscle tissue, metabolic enzymes, connective tissue and bone). In dynamical systems theory, movement patterns emerge through generic processes of self-organization found in physical and biological systems. There is no research validation of any of the claims associated to the conceptual application of this framework. |
synth_fc_311_rep10 | Positive | Board game | Calculation | Single | https://en.wikipedia.org/wiki/Recreational_mathematics | 9 | Mathematical puzzles
Mathematical puzzles require mathematics in order to solve them. They have specific rules, as do multiplayer games, but mathematical puzzles do not usually involve competition between two or more players. Instead, in order to solve such a puzzle, the solver must find a solution that satisfies the given conditions.
Logic puzzles and classical ciphers are common examples of mathematical puzzles. Cellular automata and fractals are also considered mathematical puzzles, even though the solver only interacts with them by providing a set of initial conditions.
As they often include or require game-like features or thinking, mathematical puzzles are sometimes also called mathematical games. |
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