OpenLLM-France/wikimedia huggingface dataset:
# Bruguières modularity theorem

In mathematics, the Bruguières modularity theorem is a theorem about modular tensor categories. It asserts that two different formulations of the modularity condition of a modular tensor category are equivalent. The Bruguières modularity theorem was introduced by mathematician Alain Bruguières in the year 2000. The first notion of modularity used in the theorem statement is in terms of the non-degeneracy of the braid statistics of the simple objects, and the other is in terms of the non-degeneracy of the modular S-matrix. Historically, the non-degeneracy condition for modular tensor categories was originally stated in terms of the invertibility of the $S$-matrix. Nowadays, it is common to define modular category in terms of the non-degeneracy of its braiding statistics, especially in the condensed matter physics literature.

## Statement

The Bruguières modularity theorem is stated in terms of pre-modular tensor categories, a notion introduced by Bruguières in the same paper in which he proved the modularity theorem. A category ${\mathcal {C}}$ is called pre-modular if it is equipped with all of the structures of a modular tensor category, and satisfies all of the axioms except possibly for non-degeneracy. Bruguières' modularity theorem asserts that a pre-modular tensor category has non-degenerate braiding if and only if its modular S-matrix is invertible.

## Intuition

Let ${\mathcal {C}}$ denote a pre-modular tensor category. One direction of the Bruguières modularity theorem is straightforward - if the braiding is degenerate, then there will be a simple object $A\in {\mathcal {C}}$ which braids trivially with all the other simple objects, and so the column of the modular $S$-matrix corresponding to the simple object $A\in {\mathcal {C}}$ will be proportional to the column of the modular $S$-matrix associated to the tensor unit ${\bf {1}}$. Thus, the $S$-matrix will be degenerate. The content of the theorem is that if the braiding is non-degenerate, then the modular $S$-matrix will be invertible.
If modular tensor categories are defined in terms of the non-degeneracy of their braiding, then the Bruguières modularity theorem is a necessary ingredient for the existence of the modular group representation. In the modular group representation the $S$-matrix is the image, up to scaling, of one of the generators of ${\text{SL}}_{2}(\mathbb {Z} )$. As such, for the modular group representation to be a valid representation it is necessary for the $S$-matrix to be invertible.
# Polymixia nobilis

Polymixia nobilis, the stout beardfish, is a species of beardfish. This species can grow over 48 centimetres (19 in) TL. The species' dorsal fin has five spines and 34-27 soft rays and 10-13 gill rakers. The habitat of the fish is in the benthic zone.

## Habitat

P. nobilis lives on both sides of the Atlantic Ocean and range from Bermuda to Guyana. gravel and sandy bottoms, preferring soft bottoms and reefs. These bottom feeders live at a depth of 70-800 meters in-shore. These fish contain separate species in the East Atlantic from the West Atlantic Ocean and Bermuda population.

## Feeding

These broadfish are carnivores that consume bony fish, octopuses, squid, and cuttlefish.

## Reproduction

P. nobilis lays eggs that develop into pelagic larva.
# Prince Joyi

Prince Joyi (Korean: 조이군; Hanja: 助伊君) was a Korean Royal Prince as the fourth and youngest son of Taejo of Goryeo and Queen Jeongdeok. He was a Buddhism.
# Milt Bocek

Milton Francis Bocek (July 16, 1912 – April 29, 2007) was an American professional baseball outfielder. He played parts of two seasons for the Chicago White Sox of Major League Baseball (MLB). During his playing career, he was listed at 6 feet 1 inch (1.85 m) and 185 pounds (84 kg).

## Early life

Bocek was born in Chicago, Illinois, and was popularly known as "Beltin' Bo from Cicero". He graduated from Crane High School (Chicago) in Chicago and played college baseball at the University of Wisconsin–Madison.

## Professional career

While Bocek was a student at the University of Wisconsin–Madison, he became a fairly prominent summer amateur and semipro player in baseball and softball. Chicago White Sox manager Lew Fonseca noticed him and arranged a tryout at Comiskey Park, during which Bocek hit several balls into the upper deck. He signed with the White Sox in the second half of 1933, becoming the fifth-youngest player in Major League Baseball that season, and then spent the first part of the 1934 season with the team as well. Subsequently, he played several years in the minor league systems of the St. Louis Cardinals and the New York Yankees.

## Post-playing career

After the end of Bocek's playing career, he worked as a draftsman for Danly Machine Company and later at a family owned business, also serving in the United States Army during World War II. He was married to his wife Victoria for 58 years before her death in 2006, and they had three children and eight grandchildren. At the time of his death, he held the distinction of being the oldest living White Sox player. He died on April 29, 2007, in Brookfield, Illinois, after a brief illness. He is buried next to his wife at Queen of Heaven Cemetery in Hillside, Illinois.
# Milt Jordan

Milton Mignot Jordan (May 24, 1927 – May 13, 1993) was an American professional baseball player, a 6 ft 2 in (1.88 m), 207 lb (94 kg) right-handed pitcher who appeared in eight Major League games for the 1953 Detroit Tigers. He was born in Mineral Springs, Clearfield County, Pennsylvania, and served in the United States Army Air Forces during World War II.
Jordan's nine-season (1948–1956) career was spent entirely in the Tiger organization. His Major League trial came at the outset of the 1953 campaign. After two scoreless appearances as a relief pitcher, Jordan was given his only MLB starting assignment by manager Fred Hutchinson on April 22 against the Chicago White Sox at Briggs Stadium. In the second inning he surrendered three runs but went on to last seven full innings, giving up six runs, all earned and 12 hits, including home runs by Chicago's Sam Mele, Sherm Lollar and Vern Stephens. He departed with the Tigers trailing 6–1, and absorbed the loss in an eventual 9–7 defeat. It was his only Major League decision. In 17 innings, he allowed 26 hits, 11 earned runs and five bases on balls, with four strikeouts.
In 1953, Jordan won 12, lost only once, and compiled a 3.11 earned run average for the Triple-A Buffalo Bisons of the International League, mostly working as a relief pitcher.
# Noah Botic

Noah Vinko Botic (born 11 January 2002) is an Australian soccer player who plays as a forward for Western United. Noah was named in The Guardians Next Generation 2019: 60 of the best young talents in world football

## Club career
### Early career

Botic was born in Sydney, Australia, and played for numerous different clubs in Australia at youth level.

### Hoffenheim

Following trials with English sides Manchester United, as well as interest from Everton and German champions Bayern Munich, Botic signed a two-year scholarship deal with Hoffenheim in 2019.
In October 2019, he was named among the 60 best young talents in the world by English newspaper The Guardian.
Due to his potential, Botic has been tipped to be Australia's successor to clinical striker Mark Viduka, who captained Australia to their best finish at a World Cup, as well as being the top-scoring Australian in the UEFA Champions League.

### Western United

On 1 August 2021, Botic returned to Australia to sign for Western United.

## International career

Botic has represented Australia at under-16 and under-17 level. He was joint-top scorer at the 2018 AFC U-16 Championship with five goals from five games, as Australia went out to Japan at the semi-final stage. He followed this up with four goals in four games at the 2019 FIFA U-17 World Cup in Brazil. He also scored in a friendly against England under-17s.
For his performances at youth level, Botic received the inaugural Dylan Tombides medal, awarded to the best Australian soccer player from under-17 to under-23 level, in 2019.

## Personal life

Born in Australia, Botic is of Croatian descent and holds dual-citizenship. He is the cousin of Australian international soccer player Tomi Juric and his brother, Deni.

## Career statistics
### Club

    As of 15 May 2022.
Appearances and goals by club, season and competition :
| Club | Season | League | League | League | Cup | Cup | Other | Other | Total | Total |
| Club | Season | Division | Apps | Goals | Apps | Goals | Apps | Goals | Apps | Goals |
| Rockdale City Suns | 2018 | NPL NSW 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 |
| Rockdale City Suns | 2019 | NPL NSW 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 |
| Rockdale City Suns | Total | Total | 2 | 0 | 0 | 0 | 0 | 0 | 2 | 0 |
| Western United | 2021–22 | A-League Men | 3 | 0 | 2 | 0 | 0 | 0 | 5 | 0 |
| Western United | 2022–23 | A-League Men | 21 | 6 | 2 | 1 | 0 | 0 | 23 | 7 |
| Western United | 2023–24 | A-League Men | 19 | 5 | 0 | 0 | 0 | 0 | 19 | 5 |
| Western United | 2024–25 | A-League Men | 5 | 0 | 0 | 0 | 0 | 0 | 5 | 0 |
| Western United | Total | Total | 48 | 11 | 4 | 1 | 0 | 0 | 52 | 12 |
| Western United NPL | 2022 | NPL Victoria 3 | 3 | 2 | 0 | 0 | 0 | 0 | 3 | 2 |
| Career total | Career total | Career total | 53 | 13 | 4 | 1 | 0 | 0 | 57 | 14 |
# Koyasan Tokyo Betsuin

Kōyasan Tokyo Betsuin (高野山東京別院, Kōyasan Tōkyō Betsuin, "Kōyasan Tokyo Branch Temple") is a temple located in Minato Ward at Takanawa 3-15-18 (facing Nihonenoki dori) in Tokyo. It belongs to the Kōyasan Shingon school of Japanese Buddhism, and the principal image is Kūkai. The head temple of this betsuin is Kongōbu-ji in Wakayama Prefecture. It stands next to the Takanawa Police Station.

## History

In the Keicho era (1596-1615), it established in Asakusa Nichirin Temple as the Edo duty place of Kōyasan's learning priest. In the first year of the Meireki Era (1655), the temple was bestowed the land in Nihon enoki at Shiba by Shogunate, then was named Kōyasan Edo Zaibansho Kōya-ji.

## Position in various pilgrimage circuits

* Go-Funai 88-kasho - 1st place　(御府内八十八箇所 - 1番札所)
* Kanto 88-kasho - Special Sacred Place　(関東八十八箇所 - 特別霊場)
* Edo 33-kasho - 29th place (The card place principal image: The Seikanzeonbosatsu (聖観世音菩薩) Shokan world sound bodhisattva 江戸三十三箇所 - 29番札所)
# School Ghost Stories 3

School Ghost Stories 3 (Japanese: 学校の怪談３, Hepburn: Gakkō no Kaidan 3), also known as Haunted School 3, is a 1997 Japanese film directed by Shūsuke Kaneko. The film is about elementary school children who are taken to an alternate universe through a school mirror.
The film was one of the higher grossing Japanese films in 1997, grossing as much as Rebirth of Mothra and Neon Genesis Evangelion: Death & Rebirth. The film won Naomi Nishida the award for Best Newcomer at the 21st Japan Academy Prize.

## Cast

* Naomi Nishida as Kaoru Yahashi
* Hitomi Kuroki as Machiko Kubota
* Hideki Noda as a school teacher
* Takuma Yoshizawa as Ryo Kubota
* Aki Maeda as Mayuko Fujii
* Takeru Higa as Taichi
* Kazuki Yamada as Makoto Ota
* Hironobu Nomura as Teacher Tameyama
* Masahiko Tsugawa as the school master
* Machiko Watanabe as Makoto's mother
* Kei Satō as Takuya

## Release

School Ghost Stories 3 was released in Japan on July 19, 1997 where it was distributed by Toho. The film grossed a total of 1.150 billion yen on its theatrical release in Japan.

## Reception

Naomi Nishida won the Award for Best Newcomer at the 21st Japan Academy Prize.
# 2025 KNVB Cup final

The 2025 KNVB Cup Final will be a football match between Eredivisie clubs AZ and Go Ahead Eagles, will take place on 21 April 2025 at De Kuip, Rotterdam. It will be the final match of the 2024–25 KNVB Cup, the 107th season of the annual Dutch national football cup competition.

## Route to the final

| AZ | AZ | Round | Go Ahead Eagles | Go Ahead Eagles |
| Opponent | Result | | Opponent | Result |
| Bye | Bye | First round | Bye | Bye |
| Groningen | 3–1 (H) | Second round | Sparta Rotterdam | 1–1 (5–4 pen.) (A) |
| Ajax | 2–0 (H) | Round of 16 | Twente | 3–1 (H) |
| Quick Boys | 3–1 (H) | Quarter-finals | Noordwijk | 3–1 (H) |
| Heracles Almelo | 2–2 (4–3 pen.) (A) | Semi-finals | PSV | 2–1 (A) |

## Match

* Match rules
* 90 minutes.
* 30 minutes of extra time if necessary.
* Penalty shoot-out if scores still level.
* Maximum of twelve named substitutes.
* Maximum of five substitutions, with a sixth allowed in extra time.
# Hyangiram Hermitage

Hyangiram (Korean: 향일암; Hanja: 向日庵) is a hermitage and Buddhist temple in Yeosu, South Jeolla Province, South Korea. It was built in 644 during the Baekje period, by the notable Buddhist monk Wonhyo. It is Cultural Asset No. 40 of South Jeolla Province.
It is one of four Buddhist hermitages on the peninsula. It was originally named Wontongam (원통암; 圓通庵).

## Gallery

* Another building (2010)
* Statue (2009)
* Haetalmun, a narrow walkway one must pass to reach the temple (2017)
* Banyamun, another narrow walkway (2017)
* View from the temple (2014)
* A golden building in the temple (2009)
# Kuroolli Chekon

Kurooli Chekon, known as Kadathanadan Simham, was a Thiyya warrior who lived in the 19th century in Vadakara (1869–1913), North Malabar, who fought against the oppression by the British Government and Kadathanad Raja. Vaniyakuruvalli Kunji Chekavar, also known as Kurooli Chekon, was a fierce warrior and farmer who fought valiantly against the barbaric culture, cronyism and cruelty of the colonized region of Vadathanara in Kozhikode district about 100 years ago. Apart from caste and religion, Kuruli Chekon, a close friend and adored man of the Thiyyas, Mappilas, Kurichyas, poor Nairs and all other peoples, became the target of the King of Kadathanad and the noble chiefs.

## History

An attempt was later made by the British police and the courts to fabricate a case against Chekon after the serial killers sent by Madambi to assassinate him failed repeatedly. Chekon, who had faith in the British court, cooperated with the case and firmly believed that the court would be convinced of the truth and he would be acquitted because it was a false case. However, as soon as the verdict was read out in court, Chekon managed to escape, as the cunning king and his accomplices had produced a number of false witnesses against Chekon. It was during this time of hiding that Chekon grew into a popular hero. Chekon grew in the hearts of the people as a divine character, who was the last word for resolving disputes in the country and an invincible force to save those who were suffering and persecuted. History has it that after the magistrate sentenced Chekon to life imprisonment, he wanted to meet Chekon in person and became a Sarasana and talkative Tamil Brahmin cloth seller. With just a few months to go before Chekon's sentence expires, the governor killed his best friend, Kurichi, with a treacherous gun and a poisoned arrow. The story of this legendary hero, who was obsessed with golden interests, has been written and published by Sri Vishnu Mangalam Kumar, a journalist from Bangalore with the sincerity of a truth seeker. Kuruli Chekon - Kairali Books in Kannur has released this book as an illustrated book titled Kadathanadan Simham. Collected oral folk song about Kuruli Chekon describing the popular exile and end of Chekon among the Kurichis.
# Syed Qumrul Islam Saleh Uddin

Syed Kamrul Islam Mohammad Salehuddin (Bengali: সৈয়দ কামরুল ইসলাম মোহাম্মদ সালেহউদ্দিন; 2 July 1937 – 24 May 1983), also known by his daak naam Jangu, was a Bangladeshi politician. He was elected member of national assembly of Pakistan in 1970 from Awami league for Faridpur-2. He served as a member of parliament for Faridpur-3 from 1973 to 1979.

## Career

Salehuddin stood for the National Assembly of Pakistan as an Awami League candidate in the 1970 Pakistani general election. He was elected for Faridpur-II by a large margin over three opponents, including Pakistan Democratic Party candidate Abdus Salam Khan.
Salehuddin was elected to the Bangladesh Parliament in 1973 from Faridpur-3.

## Death

Salehuddin died on 24 May 1983. He is buried at Banani Graveyard in Dhaka, Bangladesh.
# Joya Sengupta

Jaya Sengupta (Bengali: জয়া সেনগুপ্ত; born 21 September 1943) is a Bangladesh Awami League politician, doctor, and a former Jatiya Sangsad member representing the Sunamganj-2 constituency. Her husband, Suranjit Sengupta, was a senior leader of the Bangladesh Awami League and a minister of Bangladesh Railway.

## Career

Sengupta was married to veteran Bangladesh Awami League leader Suranjit Sengupta. She was a senior official in the non-governmental organisation Bangladesh Rural Advancement Committee (BRAC). Her husband was a member of the Bangladesh Awami League Advisory Council.
Sengupta was elected to the parliament from Sunamganj-2 constituency in Sunamganj District. She was elected in a by-election after the death of her husband, Suranjit Sengupta. She defeated her nearest rival Mahbub Hossain Reju in the by election, she had more than double the vote her opponent had. Her husband was the member of parliament from Sunamganj-2. The seat was vacated after he died on 5 February 2017. Joya Sengupta was sworn into office on 16 April 2017 by the speaker of the parliament, Shirin Sharmin Chaudhury, at the Jatiya Sangsad Bhaban. On 13 November 2017, she was nominated to the five-member panel of chairmen for the 18th session of Bangladesh Jatiya Sangsad (National Parliament). In absence of the speaker and deputy speaker, the panel is responsible for conducting the parliamentary session. Her constituency, Sunamganj, was flooded by flash floods and according to her affected nearly three hundred thousand people.
# Jahanara Begum (social worker)

Jahanara Begum is a Bangladeshi social worker. Begum, known as the "Queen of Cottage Industry" in Bangladesh, has carried out transformative work in the rural development sector. Born in Comilla, Begum has promoted economic independence for women through cottage industries, focusing on skills like embroidery and handicrafts. By organising training programs and workshops, she helped women earn livelihoods and gain financial independence.
She was awarded the Independence Day Award in 1993 by the Government of Bangladesh.

## Background and career

Begum was born to Azmat Ali. She was married to Moninul Islam Miyagi. After the wedding, she moved to Adda village of Barura Upazila.
Begum wrote books on cottage industry and its development and history:
* Comilla Shilpo Bishok Pustak (1976)
* Bashtobayone Adda Grame Kutir Shipler Oboshon (1976)
* Jahan Ara's Kutir Shilpo Rushiar (1980)
* Embroidery Design Pustak (1984)
* Dorji Biddya Shikka (1986)
* Kutir Shilper Jari Ghan (1988)
* Kutir Shilpo (1988)
* Utpadito Pather Shochitro Catalog (1990)

## Awards

* Kutir Shilper Kandari by the then governor Azam Khan (1962)
* The Comilla Foundation Gold Medal (1977 and 1985)
* National Social Welfare Award (1988)
* Independence Day Award (1993)
* The Rotary Club Award (2000)
* Shada Moner Manush
# 2021 Aegean Sea boat capsizing

The 2021 Aegean Sea boat capsizing took place on 24 December 2021. 16 people died in the Aegean Sea.
The Greek coast guard said that 63 people were rescued after a sailboat capsized late on a Friday 8 kilometers off the island of Paros in the central Aegean.

## History

The history of these events can be traced back to long ago problem of immigration to Europe and was intensified because of the 2015 European migrant crisis, which may be related to the aftermath of the Wars in Iraq.
The Aegean Sea became a major route for entry to Europe via Greece. Thousands of immigrants on this route have perished.
# Boli (TV series)

Boli is a Bangladeshi crime drama streaming television series created by Sarder Saniat Hossain, Robiul Alam Robi and Naseef Faruque Amin that released on Hoichoi on 3 December 2021. All the episodes of the series has been directed by Shankha Dasgupta Which stars Chanchal Chowdhury, Sohana Saba, Safa Kabir, Salahuddin Lavlu, Lutfur Rahman George, and Iresh Zaker.

## Premise

Boli, Hoichoi TV's latest series from Bangladesh, is a twist in the legendary Persian tale of 'Rustom And Sohrab'. Crime lord Sohrab Chanchal Chowdhury rules the island of Cheradiya with a brutal hand. Lawlessness thrives, and Sohrab's guns and gunmen do all the talking. Into this wildworld lands an injured stranger (Shohel Rana), who's lost his memory. The local brothel inmates nurse him back to health and give him the name, Rustom. Will Rustom spell the end of Sohrab's reign of terror?

## Cast

* Chanchal Chowdhury as Sohrab Company
* Shohel Mondol as Rustom
* Sohana Saba as Anarkali
* Safa Kabir as Ayesha
* Salahuddin Lavlu as Mojid Company
* Ziaul Hoque Polash as Nizam
* Nasir Uddin Khan as Shahjahan Boli
* Lutfur Rahman George as Selim Chairman
* Iresh Zaker as Joynal Hujur
* Kazi Roksana Ruma as Mata Mohuri
* Rishad Mahmud as Police
* Mousumi Mou as Sohrab's Wife

## Production

Principal photography has taken place in various locations of Kuakata in Patuakhali district and Manikganj district of Bangladesh in September 2021, with production design and art direction by Tareq Bablu.

## Release

Boli aired on Hoichoi on 3 December 2021, all the episodes has been available immediately.

## Reception

The series mostly got negative to mixed reviews from critics and audiences. Aysha Zaheen from The Daily Star criticized the dialogues and the direction and said, "Boli was merely an attempt at producing a good crime thriller, falling short in many places. Often stretched out with lengthy shots, unnecessary dialogues, and unreasonable plotlines, the series fails to get its point across throughout the span of seven inconsistent episodes". Leisure Byte reviewer Archi Sengupta gave the series 2 out of 5 and said, "It's entertaining but loses all of its steam quickly, becoming a mess of a show without much rhyme or reason. Also, just so much dialogue, just so much unnecessary dialogue!"

## Episodes

| No. overall | Episode | Directed by | Original release date | Duration (minutes) |
| 1 | "Namhin byekti" | Shankha Dasgupta | 3 December 2021 (2021-12-03) | 36 |
| 2 | "Joar, Bhata" | Shankha Dasgupta | 3 December 2021 (2021-12-03) | 34 |
| 3 | "Roktopat theke jano" | Shankha Dasgupta | 3 December 2021 (2021-12-03) | 23 |
| 4 | "Keu chilo, Keu chilo na" | Shankha Dasgupta | 3 December 2021 (2021-12-03) | 18 |
| 5 | "Dui premi" | Shankha Dasgupta | 3 December 2021 (2021-12-03) | 23 |
| 6 | "Keu mrittur sringkhole, Keu khomotar" | Shankha Dasgupta | 3 December 2021 (2021-12-03) | 29 |
| 7 | "Somoy miloner baire" | Shankha Dasgupta | 3 December 2021 (2021-12-03) | 23 |

## Awards

| Award Title | Category | Awardee | Result | Ref |
| Hoichoi Awards | Breakthrough Performance of the Year | Chanchal Chowdhury | Won | |
# Dichomeris frenigera

Dichomeris frenigera is a moth in the family Gelechiidae. It was described by Edward Meyrick in 1913. It is found in Assam, India.
The wingspan is 13–14 mm (0.51–0.55 in). The forewings are dark violet fuscous, with slaty-grey reflections and a very fine whitish curved or bent line from two-thirds of the costa to the tornus. There is an ochreous-yellow or orange apical patch, with the anterior edge somewhat convex, enclosing two or three fuscous wedge-shaped spots on the termen. There is also a more or less developed fine black line around the apex and termen. The hindwings are rather dark fuscous.
# Rémi Schelcher

Rémi Schelcher (8 August 1905 – 20 April 1988) was a French sailor. He competed in the 8 Metre event at the 1936 Summer Olympics.