OpenLLM-France/wikimedia huggingface dataset:
# Orchard-planting problem

In discrete geometry, the original orchard-planting problem (or the tree-planting problem) asks for the maximum number of 3-point lines attainable by a configuration of a specific number of points in the plane. There are also investigations into how many k-point lines there can be. Hallard T. Croft and Paul Erdős proved $t_{k}>{\frac {cn^{2}}{k^{3}}},$ where n is the number of points and t$_k$ is the number of k-point lines. Their construction contains some m-point lines, where m > k. One can also ask the question if these are not allowed.

## Integer sequence

Define ⁠$t_{3}^{\text{orchard}}(n)$⁠ to be the maximum number of 3-point lines attainable with a configuration of n points. For an arbitrary number of n points, ⁠$t_{3}^{\text{orchard}}(n)$⁠ was shown to be ${\tfrac {1}{6}}n^{2}-O(n)$ in 1974.
The first few values of ⁠$t_{3}^{\text{orchard}}(n)$⁠ are given in the following table (sequence A003035 in the OEIS).
| n | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 |
| ⁠$t_{3}^{\text{orchard}}(n)$⁠ | 1 | 2 | 4 | 6 | 7 | 10 | 12 | 16 | 19 | 22 | 26 |

## Upper and lower bounds

Since no two lines may share two distinct points, a trivial upper-bound for the number of 3-point lines determined by n points is $\left\lfloor {\binom {n}{2}}{\Big /}{\binom {3}{2}}\right\rfloor =\left\lfloor {\frac {n^{2}-n}{6}}\right\rfloor .$ Using the fact that the number of 2-point lines is at least ⁠${\tfrac {6n}{13}}$⁠ (Csima & Sawyer 1993), this upper bound can be lowered to $\left\lfloor {\frac {{\binom {n}{2}}-{\frac {6n}{13}}}{3}}\right\rfloor =\left\lfloor {\frac {n^{2}}{6}}-{\frac {25n}{78}}\right\rfloor .$
Lower bounds for ⁠$t_{3}^{\text{orchard}}(n)$⁠ are given by constructions for sets of points with many 3-point lines. The earliest quadratic lower bound of $\approx {\tfrac {1}{8}}n^{2}$ was given by Sylvester, who placed n points on the cubic curve y = x$^3$. This was improved to ${\tfrac {1}{6}}n^{2}-{\tfrac {1}{2}}n+1$ in 1974 by Burr, Grünbaum, and Sloane (1974), using a construction based on Weierstrass's elliptic functions. An elementary construction using hypocycloids was found by Füredi & Palásti (1984) achieving the same lower bound.
In September 2013, Ben Green and Terence Tao published a paper in which they prove that for all point sets of sufficient size, n > n$_0$, there are at most ${\frac {n(n-3)}{6}}+1={\frac {1}{6}}n^{2}-{\frac {1}{2}}n+1$ 3-point lines which matches the lower bound established by Burr, Grünbaum and Sloane. Thus, for sufficiently large n, the exact value of ⁠$t_{3}^{\text{orchard}}(n)$⁠ is known.
This is slightly better than the bound that would directly follow from their tight lower bound of ⁠${\tfrac {n}{2}}$⁠ for the number of 2-point lines: ${\tfrac {n(n-2)}{6}},$ proved in the same paper and solving a 1951 problem posed independently by Gabriel Andrew Dirac and Theodore Motzkin.
Orchard-planting problem has also been considered over finite fields. In this version of the problem, the n points lie in a projective plane defined over a finite field. (Padmanabhan & Shukla 2020).
# Tom Elliot

Thomas Elliot MBE (6 April 1926 – 3 May 1998) was a Scotland international rugby union player. His regular playing position was Prop.

## Rugby Union career
### Amateur career

Elliot was born into a farming family in the Scottish Borders. He was educated at St. Mary's School, Melrose and at Loretto School, Musselburgh. After school he joined Gala RFC and played for the 2XV at lock. He soon moved to loose-head prop and over the next fifteen years made the position his own. Early in his career he gained a reputation for rumbustious play. Bill McLaren described him as "a tough rugged son of the soil".

### Provincial career

Elliot was capped by South of Scotland District.

### International career

Elliot made his debut for Scotland in the 1955 Five Nations Championship. Scotland beat Wales 14–8 at Murrayfield. His next match against Ireland resulted in another victory at the same venue. Elliot also played in a narrow 9–6 defeat to England at Twickenham.
In the 1956 Five Nations Championship he played all four matches. Scotland won one match against France at Murrayfield. The following year Scotland won two matches in the 1957 Five Nations Championship; Elliot played in every match. He played two matches in the 1958 Five Nations Championship, losing to Wales and Ireland. In between he played in a 12–8 victory over Australia at Murrayfield on their 1957–58 Australia rugby union tour of Britain, Ireland and France.
Elliot was selected for the 1955 British Lions tour to South Africa, alongside his compatriot and fellow prop Hugh McLeod. They were kept from the Test team by the all Wales trio of Billy Williams, Bryn and Courtney Meredith. As it was Elliot played eight of the midweek games. He also played for the Barbarian F.C.

## Farming career

Elliot had farming interests in the Borders and Sutherland. He was a former president of the Selkirk branch of the National Farmers Union of Scotland, and former president of the Borders area. His animals often won championships at the Royal Highland Show near Edinburgh, of which he became a director. Elliot was also a past president of the Cheviot Sheep Society, member of the government's Hill Farming Advisory Committee and a director of the Moredun Foundation. For his contributions to farming he was awarded an MBE in 1989.
# Shastri (disambiguation)

Lal Bahadur Shastri was the second prime minister of India, from 1964 to 1966.
Shastri may also refer to:
* Shastri (surname), an Indian surname
* Sastri, an Indian surname
* Shastri (2005 film), an Indian Kannada-language film
* Shastri (2024 film), an 2024 Indian Bengali-language science fiction fantasy action film by Pathikrit Basu
* Shastri (degree), a degree for Sanskrit-language education in India
* Shastri Nagar (disambiguation)
* Shastri Park, a neighborhood of North East Delhi, Delhi, India
** Shastri Park metro station
# Rodolfos Alexakos

Rodolfos Alexakos (born 12 May 1945) is a Greek sports shooter. He competed at the 1980 Summer Olympics and the 1984 Summer Olympics.
# Venzy Viegas

Venzy Viegas (born 9 August 1977) is an Indian politician and former merchant navy officer who serves as a member of the Goa Legislative Assembly, representing the Benaulim Assembly constituency. A member of the Aam Aadmi Party (AAP), he was elected as the MLA from Benaulim in the 2022 Goa Legislative Assembly election. Viegas was appointed the legislative party leader of AAP in Goa Assembly in March 2022.

## Education

Viegas graduated with the Highest Nautical Diploma in Nautical Science from South Tyneside College, South Shields, United Kingdom in 2011.

## Career

Veigas is a merchant navy mariner with 17 years of sailing experience in tanker vessels.
In 2022 he defeated Churchill Alemao (former Chief Minister of Goa), and won by a margin of 1,271 votes in the Benaulim Assembly constituency. Viegas was also appointed the Working President for AAP in May 2022.

## Electoral history
### 2022 Assembly Election, Benaulim

2022 Goa Legislative Assembly election : Benaulim :
| Party | Party | Candidate | Votes | % | ±% |
| | AAP | Venzy Viegas | 6,411 | 30.32% | 10.70 |
| | AITC | Churchill Alemao | 5,140 | 24.31% | New |
| | INC | Antonio Feliciano Dias (Tony) | 4,697 | 22.21% | 12.09 |
| | RGP | Desmond Fernandes | 3,854 | 18.23% | New |
| | BJP | Damodar (Samir) Bandodkar | 851 | 4.02% | New |
| | NOTA | None of the Above | 161 | 0.76% | 0.12 |
| Margin of victory | Margin of victory | Margin of victory | 1,271 | 6.01% | 18.34 |
| Turnout | Turnout | Turnout | 21,145 | 72.35% | 1.50 |
| Registered electors | Registered electors | Registered electors | 28,959 | | 1.24 |
| | AAP gain from NCP | AAP gain from NCP | Swing | 13.66 | |
# Estonian Yachting Union

The Estonian Yachting Union (Estonian: Eesti Jahtklubide Liit) is the national governing body for the sport of sailing in Estonia, recognised by the World Sailing.

## History

On 8 July 1928, the Estonian Yachting Union was founded by Haapsalu Purje- ja Sõuklubi, Kuressaare Jahtklubi, Pärnu Jahtklubi, Narva Jahtklubi, Saaremaa Merispordi Selts, and Tallinna Jahtklubi. At that time the Eestimaa Merejahtklubi represented Estonia in the International Yacht Racing Union, however in 1935, Eestimaa Merejahtklubi joined the union, leading to the union overtaking the role as representative of Estonia in the International Yacht Racing Union. In 1991, it rejoined the International Yacht Racing Union. The Estonian Yachting Union newspaper in 1989–1995 was Purjetaja.
In 2024, Sven Nuutmann was elected president of the union.

## Classes

The following class organisations are affiliated to the Estonian Yachting Union:
* 470
* Dragon
* ice yachting classes
* ILCA (4, 6, and 7)
* J/70
* kiteboarding classes
* match racing
* Monotype-XV
* Nordic Folkboat
* Optimist
* RS Aero
* windsurfing classes

## Notable sailors

See Category:Estonian sailors

### Olympic sailing

See Category:Olympic sailors for Estonia

### Offshore sailing

See Category:Estonian sailors (sport)
# 1960 Concepción earthquakes

The 1960 Concepción earthquakes were a succession of three destructive earthquakes that happened between 21 and 22 May 1960. They formed part of the foreshock sequence for the 1960 Valdivia earthquake, the largest recorded earthquake in history.
The first was on May 21 at 06:02 UTC-4. Its epicenter was near Cañete, Bío Bío Region, Chile, and its magnitude was 8.1 or 8.3M$_W$ and 7.3 or 7.5M$_S$. This earthquake, which lasted 35 seconds, destroyed a third of the buildings in the city of Concepción.
The earthquake effectively interrupted and ended Lota's coal miners march on Concepción where they demanded higher salaries.
The second happened on May 22 at 06:30 UTC-4. Its epicenter was in the Nahuelbuta National Park, Araucanía Region, Chile, and its magnitude was 7.1 M$_w$. It was followed by a 6.8 M$_w$ earthquake at 06:32 UTC-4.
The third happened the same day at 14:56 UTC-4. Its epicenter was near Purén, Araucanía Region, Chile and its magnitude was 7.8 M$_S$ or 7.8 M$_w$. This earthquake happened 15 minutes before the 1960 Valdivia earthquake.
# Conqueror (paper manufacturer)

Conqueror is a manufacturer of distinctive, high-quality watermarked paper in the United Kingdom. The company was founded in the late 1880s by E.P. Barlow, director of the London-based stationer Wiggins Teape.

## History

Barlow's idea was to provide a high-quality watermarked paper for the masses. It was intended to look like handmade paper, but to cost far less. Barlow commissioned manufacturing of the paper, but found that there were no paper mills willing to make the specified quality of paper for the low price he bargained for. Eventually, Henry Hobday, owner of the Dover-based Buckland paper mill struggling to recover from a disastrous fire, accepted the commission, and the first Conqueror paper rolled off the presses in 1888. Two years later, Wiggins Teape bought the mill. Conqueror paper was fortunate to come to market at a time when there was a large unmet demand for a paper that appeared to be handmade. Conqueror has maintained a high quality standard, which results in the brand being requested by name in shops, and the name becoming a byword for quality.
In 1990, Wiggins Teape merged with French-based Arjomari and US-based Appleton Papers, forming Arjo Wiggins. The Conqueror brand was maintained as a trademark for high-quality paper and envelopes.
The original paper mill at Buckland was shuttered in 2000 and demolished two years later, although production continues at other locations.

## Reception

Conqueror paper is said by the independent PrintingDirect company to be "Perhaps the best-known quality business printing paper on the market"; it is "often selected by [our] customers requiring a premium letterhead material because of its distinctive appearance".
Independent marketing company SuperbrandsDigital writes in a case study that "Since 1888, Conqueror has been recognised worldwide as a symbol of premium, quality paper for business and creative communications."
Artists often use Conqueror paper; for example, the artist Formano writes "Dance of the devil is a water color paint and its about the happiness and fate of life. Just used few colors on conqueror paper." Similarly, Tina Roth Eisenberg describes "an edition of 500 signed and numbered screenprints on conqueror paper."
Businesses print on Conqueror paper as a mark of quality; for example, Swedish boutique Artilleriet printed city guides of Paris and New York "Limited to 473 pieces and printed on 160 gram Conqueror paper, numbered and sealed, it’s maybe not the most practical or accurate guide, but definitely the most beautiful!".

## Environmental awareness

In 2007, Conqueror became the first fine paper company in Europe to have its range of products FSC-certified and produced carbon neutral.
In 2010, a line of FSC-certified bamboo-pulp paper is launched.

## Current production

Today, Conqueror paper comes in fourteen versions, and up to fifteen colours per version, up to five weights, and up to five pre-cut sizes for the watermarked line of paper. Envelopes are also available, although not as widely as the paper. Conqueror paper is distributed to over 100 countries.
# Association of Salesian Cooperators

The Association of Salesian Cooperators (ASC) is a lay association in the Catholic Church and the third order of the Salesians. It is also one of the three main branches of the Salesian Family founded directly by Don Bosco in 1876. The movement was created with the purpose to share the ideals of the Salesian Preventive System in the education of young people, especially those who are poorest.
The ASC's superior is the Rector Major of the Salesians, inside a board of trust known as the World Council. Priests and bishops of the dioceses can join this movement, sharing the ideals and educative philosophies of Don Bosco.

## History

After John Bosco's ordination, he took up work in Turin, where he was friends with priest and social reformer Joseph Cafasso. In 1846, Bosco became ill and his mother, Margherita Occhiena moved to Turin to care for him. After he recovered, she stayed to assist him in his work with the poor and abandoned boys who were flocking to the city. For the next ten years she served as a surrogate mother for the hundreds of boys who called her "Mamma Margherita". Occhiena is considered the first Salesian Cooperator.
In 1876 Don Bosco discussed his plan to create the Association of Salesian Cooperators, "It has hardly come into existence and it already numbers many members. Its aim is mutual assistance: spiritual, moral and also financial...
Don Bosco formed the Association with the help of Pope Pius IX. The membership grew rapidly, and with their help, the Cooperators made it possible to create and develop workshops for arts and crafts, mutual aid societies, farm projects, printing shops, day and evening schools, oratories, homes and shelters, missions and orphanages.
In 1877, Bosco created the Salesian Bulletin to "link Salesians and cooperators." In the General Chapter of 1877 he reported the development of the cooperators and the Salesian Bulletin. He described the Association as people who wish to devote themselves to works of mercy in a specific rather than general way and he underlined that the mission of the cooperators is to take care of boys, who are exposed to immorality, catechizing them, keeping them happily busy on Sundays and holy days, finding them jobs with honest employers (...)

## Present day

Members are lay men and women, or diocesan clergy, who dedicate themselves to the welfare of young people, and live guided by Don Bosco's Salesian Spirit. As of 2023, ACS has a membership of about 30,000, and is present in 58 countries. The headquarters are in Rome.
Generally the Salesian Cooperators are affiliated with a local Salesian school, parish and youth center. In some situations, particularly in the Third World, they manage oratories, schools and family hostels.

## Notable members

* Blessed Alexandrina of Balazar
* Venerable Dorotea de Chopitea
* Servant of God Matilde Salem
* Sean Devereux
# Jean Arnauld

Jean Arnauld was a French philosopher and theologian of the 17th century. He predominantly lived in Reims and most of his work was focused on logic and the failure of reason, the topic for which he is best known. He was unrelated to Antoine Arnauld, although contemporaneous.

## Life

Arnauld was born into an influential, deeply cultured family in Reims. The exact date of his birth is unknown, and there is very little biographical written about him. He was born in 1580-1590 and died in 1645–1660. He studied in Paris and began his career there as a private tutor, but soon gave this up.

## Works

The works of Arnauld are valuable as an historical source for the criticisms of reason and logic circa 1630; however, these are now presumed lost. None of his works has survived as a whole: there are only small fragments left, mainly due to their being discussed in other works.
* L' Erreur de Logique (The Error of Logic) was published in 1634 in Paris. L' Erreur de Logique is his most widely know book and discusses the failings of logic and how some sense of faith or intuition is sometimes needed to disprove things that have seemingly be proven by logical arguments. It also discusses the way logic is often used to argue things even when the conclusions are actually logical fallacies. However, his precise arguments are not known in full as the text is no longer extant and so all that remains is a summation of his argument and some passages in secondary sources.
* Raison et Dieu (Reason and God) was published in 1640 in Paris.
# Parastrachia japonensis

Parastrachia japonensis is a species of true bugs belonging to the family Parastrachiidae. It is one of the two species in the genus, both from Eastern Asia. Known colloquially as the Japanese Red Bug, it is one of the few species of insect where mothers care for their young, gathering food for them. They exclusively feed on the drupes of the tree Schoepfia jasinodora.
Caenorhabditis japonica is a species of nematodes found in the wild non-parasitically associated with P. japonensis.
# David Robinson's Supreme Court

David Robinson Supreme Court (known in Japan as David Robinson Basketball (デビッド・ロビンソン バスケットボール)) is a basketball video game released by Sega exclusively for the Sega Genesis in 1992. The game was endorsed by NBA player David Robinson but does not feature an NBA license and instead features four different fictional American teams.
Robinson would later be featured in Sega's NBA Action games.

## Gameplay

There are three modes: exhibition, playoffs, and role-playing (a kind of career mode). Winning the role-playing mode allows the player to play against an all-star team of players chosen by David Robinson himself. The court is viewed from an isometric perspective.

## Development

The game was developed with the help of Mark Haigh-Hutchinson from the United Kingdom.
# 1924–25 Celtic F.C. season

The 1924–25 Scottish football season was Celtic's 37th season of competitive football, in which they competed in the Scottish First Division and the Scottish Cup.
In the league, they dropped to 4th place from 3rd the previous season, below Hibernian, Airdrieonians and three-in-a-row champions Rangers.
However, their Scottish Cup campaign was way more fruitful as they successfully reclaimed the trophy. They were crowned cup champions for the 11th time in the club's history, their 27th major domestic honour.
Celtic won the final 2-1 against Dundee, with goals by Patrick Gallacher and Jimmy McGrory. Previously, they had defeated Rangers 5-0 in the semi-final, St. Mirren in a 4th round second replay, and Solway Star, Alloa Athletic and Third Lanark in the early rounds.
# Jyoshna Sabar

Jyoshna Sabar (born 25 October 2008 in Odisha) is an Indian weightlifter, competing in the 40 kg category and representing the country at international competitions.
In May 2024, Sabar won silver for India at the 2024 Youth World Weightlifting Championships in the 40 kg event.
She broke the Asian Youth Record in Asian Youth Games in Doha, Qatar in the 40 kg event lifting 135 kg total.

## Early life and background

Sabar was born in a remote village, Pekata, in Gajapati district, Odisha to Kirtan Sabar and Gachameri Sabar. The teaching staff of her school recognized her sporting potential.
Sabar was selected to join the TENVIC Sports Weightlifting High Performance Centre in 2018, and simultaneously pursued her education at the Kalinga Institute of Social Sciences.

## Career

Sabar trains under Ravi Kumar Katulu at the TENVIC High Performance Centre in Bhubaneswar. Sabar has won several medals at the state and national levels. While winning gold in the 40 kg category at the 2023 Khelo India Youth Games, she set a new National Record of 60 kg in the snatch.
In May 2023, the Talent Identification and Development Committee of the Khelo India initiative selected Sabar as one of the weightlifters to be designated a Khelo India Athlete, thereby receiving support for training and in competitions.
Sabar won a bronze (overall) and a silver (snatch) at the 2023 Youth World Weightlifting Championships in the 40 kg event.
Sabar won two silvers (overall and snatch) at the 2024 Youth World Weightlifting Championships in the 40 kg event.

## Major results

| Year | Venue | Weight | Snatch (kg) | Clean & Jerk (kg) | Total | Rank |
| Asian Youth Weightlifting Championships |||||||
| 2024 | Doha, Qatar | 40 kg | 60 kg | 75 kg | 135 kg AYR | 1 |
| Youth World Weightlifting Championships |||||||
| 2024 | Lima, Peru | 40 kg | 56 | 69 | 125 | 2 |
| 2023 | Durrës, Albania | 40 kg | 53 | 62 | 115 | 3 |
| Asian Youth and Junior Weightlifting Championships |||||||
| 2023 | New Delhi, India | 40 kg | 55 | 64 | 119 | 3 |
| Commonwealth Youth Weightlifting Championships |||||||
| 2024 | Suva, Fiji | 40 kg | 58 | 65 | 123 | 1 |
| 2023 | Greater Noida, India | 40 kg | 52 | 64 | 116 | 1 |
| Khelo India Youth Games |||||||
| 2023 | Chennai, India | 40 kg | 60 | 70 | 130 | 1 |
| IWLF National Weightlifting Championships |||||||
| 2024 | Nagrota Bagwan, India | 40 kg | 56 | 64 | 120 | 1 |
| 2023 | Itanagar, India | 40 kg | 58 | 71 | 129 | 1 |
| IWLF National Youth Championships |||||||
| 2022-23 | Nagercoil, India | 40 kg | 53 | 71 | 124 | 1 |
# Lazzaretto Vecchio

The Lazzaretto Vecchio ("Old Lazaret"), formerly known as Santa Maria di Nazareth ("Holy Mary of Nazareth"), is an island of the Venetian Lagoon, northern Italy, located near the Lido of Venice. Between 1403 and 1630 it housed a hospital which cared for people during the plague epidemics and as a leper colony, giving rise to the English words lazaret and lazaretto. It was later used, as were other islands, as a military post. It covers an area of 2.53 hectares (6.3 acres) large.
Since 2004 archaeologists have unearthed more than 1500 skeletons of plague victims buried here between the 15th and 17th centuries. These have been found in individuals as well as in mass graves. The remains of thousands more are expected still to be found on the small island as the death-toll reportedly reached 500 per day in the 16th century.

## Gallery

* Main entrance
* The staff building
* Panorama of the Lazzaretto buildings
* The hospital for the nobles
* Inside one of the galleries