OpenLLM-France/wikimedia huggingface dataset:
# Big-little-big lemma

In the mathematics of paper folding, the big-little-big lemma is a necessary condition for a crease pattern with specified mountain folds and valley folds to be able to be folded flat. It differs from Kawasaki's theorem, which characterizes the flat-foldable crease patterns in which a mountain-valley assignment has not yet been made. Together with Maekawa's theorem on the total number of folds of each type, the big-little-big lemma is one of the two main conditions used to characterize the flat-foldability of mountain-valley assignments for crease patterns that meet the conditions of Kawasaki's theorem. Mathematical origami expert Tom Hull calls the big-little-big lemma "one of the most basic rules" for flat foldability of crease patterns.

## Statement

The lemma concerns the angles made by consecutive pairs of creases at a single vertex of the crease pattern. It states that if any one of these angles is a local minimum (that is, smaller than the two angles on either side of it), then exactly one of the two creases bounding the angle must be a mountain fold and exactly one must be a valley fold.

## Generalization and applications

A generalized version of the lemma holds for a sequence of equal angles at a single vertex, surrounded on both sides by a larger angle. For such a sequence, the number of mountain and valley folds bounding any of these angles must either be equal, or differ by one. It can be used as part of a linear time algorithm that tests whether a folding pattern with a single vertex can be folded flat, by repeatedly looking for sequences of angles that obey the lemma and pinching them off, until either getting stuck or reducing the input to two equal angles bounded by two creases of the same type as each other.

## History

In their book Geometric Folding Algorithms, Erik Demaine and Joe O'Rourke credit the lemma to publications of Toshikazu Kawasaki in 1989, and Jacques Justin in 1994.
# Shōta Horie

Shōta Horie (堀江 翔太, Horie Shōta, born 21 January 1986) is a Japanese professional rugby union player who plays as a hooker for Japan Rugby League One club Saitama Wild Knights and the Japan national team.

## Early life

Horie is a native of Osaka Prefecture. He began playing rugby when he was a fifth-grade student, and later captained the Teikyo University rugby team.

## Club career

Horie played for the Panasonic Wild Knights. He was named MVP for the 2015–16 Top League Season.
In 2012, Horie played for Japan, and in New Zealand for Otago in the National Provincial Championship, where he attracted the attention of the Melbourne Rebels recruiting staff. In November 2012, the Rebels announced Horie's signing to play Super Rugby in Australia. In 2013 he became the first Japanese player to play for an Australian Super Rugby side often on the reserves bench.

## International career

Horie made his debut for Japan in 2009, and represented his country at the 2011 Rugby World Cup.
In 2024 he was named in the Barbarians F.C. squad to face the Japanese national rugby team.

## Career statistics
### Club summary

    As of 22 July 2016
| Season | Team | Games | Starts | Sub | Mins | Tries | Cons | Pens | Drops | Points | Yel | Red |
| 2013 | Rebels | 5 | 1 | 4 | 107 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 2014 | Rebels | 13 | 6 | 7 | 531 | 1 | 0 | 0 | 0 | 5 | 0 | 0 |
| 2016 | Sunwolves | 12 | 10 | 2 | 718 | 3 | 0 | 0 | 0 | 15 | 0 | 0 |
| Total | Total | 30 | 17 | 13 | 1356 | 4 | 0 | 0 | 0 | 20 | 0 | 0 |
# Brian Johnston (center)

Joseph Brian Johnston (born November 26, 1962) is an American former professional football player who was a center for two seasons with the New York Giants of the National Football League (NFL). He was selected by the Giants in the third round of the 1985 NFL draft after playing college football at the University of North Carolina at Chapel Hill. He was a member of the Giants team that won Super Bowl XXI.

## Early life and college

Joseph Brian Johnston was born on November 26, 1962, in Highland, Maryland. He attended Glenelg High School in Glenelg, Maryland.
Johnston was a four-year letterman for the North Carolina Tar Heels of the University of North Carolina at Chapel Hill from 1981 to 1984. He joined the Tar Heels as a defensive lineman but ended up spending his first two seasons as a backup center. He then moved to defensive tackle as a junior before switching back to center partway through his senior year.

## Professional career

Johnston was selected by the New York Giants in the third round, with the 73rd overall pick, of the 1985 NFL draft. He officially signed with the team on July 15. He was placed on injured reserve on August 14, 1985, and spent the entire season there. He was released by the Giants the next year on August 26, 1986, but soon re-signed on September 2. He played in four regular season games for the Giants during the 1985 season. Johnston also appeared in two playoff games that season, including the victory over the Denver Broncos in Super Bowl XXI. He played in five games in 1987 and became a free agent after the season.
# Paul John Ward

Paul John Ward (born 7 May 1964 in Oxford, Oxfordshire) is a British racing car driver. He made his debut in the Porsche Club Championship in 2011 racing a Porsche 968 Clubsport. He has held a Race National Licence since 2012.
Ward is the Race Register secretary for the Porsche Club Great Britain (PCGB) and is the Managing Director of the used Porsche specialist retailer RennSport Collection.

## Personal life

Ward is a Chartered Engineer, a Fellow of the Institution of Mechanical Engineers and a member of the Institution of Engineering and Technology.
On Tuesday, 26 July 2011, Ward was instrumental in saving the life of a 43-year-old man suffering a cardiac arrest at the wheel of his van in Leeds, West Yorkshire.
# Hunan Botanical Garden

Hunan Botanical Garden (simplified Chinese: 湖南省植物园; traditional Chinese: 湖南省植物園; pinyin: Húnánshěng Zhíwùyuán), formerly known as Hunan Forest Botanical Garden (湖南省森林植物园; Húnánshěng Sēnlín Zhíwùyuán), is a botanical garden and arboretum located in Yuhua District of Changsha, Hunan, China. Covering an area of 1.4-square-kilometre (350-acre), the garden was established in 1985 and opened to the public in 1985. It serves multiple functions, including botanical research, scientific education, ex situ conservation, exhibition, and tourism. It is also the only integrated organization for botanical research, conservation and utilization in Hunan.

## History

Hunan Botanical Garden was established and opened to the public in 1985. In January 2012, it has been designated as an AAAA level tourist site by the China National Tourism Administration.
In June 2021, it was renamed Hunan Botanical Garden.

## Climate

Hunan Botanical Garden is in the subtropical monsoon climate zone, with an average annual temperature of 17.2 °C (63.0 °F) and total annual rainfall of 1,361.6-millimetre (53.61 in). It enjoys four distinct seasons, rain and heat over the same period, and abundant precipitation.

## Gardens

* Cherry Garden (樱花园)
* Magnolia Garden (木兰园)
* Camellia Garden (茶花园)
* Rhododendron Garden (国家杜鹃园)
* World Famous Flowers Garden (世界名花园)
* Shade tolerance Garden (荫生植物园)
* Bamboo Garden (观赏竹园)

## Gallery

* Cherry blossoms at Hunan Botanical Garden.
* Tulipa gesneriana in Hunan Botanical Garden are in full blossom.
* Rhododendron blossoms at Hunan Botanical Garden.
* Cherry blossoms at Hunan Botanical Garden.
# Günter Anderl

Günter Anderl (11 January 1947 – 10 October 2015) was an Austrian figure skater who competed in men's singles. He was the 1968 Winter Universiade bronze medalist, 1969 Nebelhorn Trophy champion, and a three-time Austrian national champion (1969–1971). He competed at two Winter Olympics, in 1968 and 1972.

## Personal life

Anderl was born on 11 January 1947 in Vienna, Austria. He died in Vienna on 10 October 2015.

## Career

Anderl won the junior gold medal at the inaugural Nebelhorn Trophy, in 1962. In February 1968, he competed at his first Winter Olympics; he ranked 20th in compulsory figures, 23rd in the free skate, and 23rd overall in Grenoble, France. In the same year, he won the bronze medal at the Winter Universiade in Innsbruck, Austria.
Anderl won the senior men's title at the Nebelhorn Trophy in 1969. He was the first winner of the Golden Spin of Zagreb as well as the Zugspitz Pokal and finished on the podium at other international competitions. He received the bronze medal at the 1967 Pre-Olympic Games in Grenoble. He finished eighth at the 1970 and 1971 European Championships.
In February 1972, Anderl competed at the Winter Olympics in Sapporo, Japan; he placed 14th in figures, 16th in free skating, and 15th overall. He ended his ISU-eligible career following the event. In 1979, he finished 6th at the Professional World Championships in Jaca, Spain. He established himself as a coach in Vienna, focusing on young skaters. He also served as Sportunion Wien's regional figure skating expert.

## Results

International :
| Event | 64–65 | 65–66 | 66–67 | 67–68 | 68–69 | 69–70 | 70–71 | 71–72 |
| Winter Olympics | | | | 23rd | | | | 15th |
| World Champ. | | 16th | 15th | 18th | 15th | 12th | 12th | |
| European Champ. | | 10th | 11th | 15th | 11th | 8th | 8th | |
| Nebelhorn Trophy | | | | | | 1st | | |
| Prague Skate | 5th | | 7th | | | | | |
| Winter Universiade | | | | 3rd | | | | |
| National |||||||||
| Austrian Champ. | | | | | 1st | 1st | 1st | |
# Potti Veerayya

Potti Veerayya (c. 1946 – 25 April 2021) was an Indian actor and comedian who predominantly acted in Telugu films. A dwarf by birth, he acted in more than 500 films, mostly in Telugu along with Kannada, Tamil, and Malayalam films. He acted in notable films like Aggi Veerudu (1969), Tata-Manavadu (1972), Radhamma Pelli (1974), Jaganmohini (1978), Yugandhar (1979), Gaja Donga (1981), Tarzan Sundari (1983).

## Early life

Hailing from Phanigiri village of Suryapeta district, Telangana, he was born as Gattu Veerayya. He was a dwarf by birth and stood just two feet. He was attracted to stage plays, drama and films since his childhood. Before commencing his career as a film actor, he was a theatre artiste.

## Film career

His passion for acting landed him in Madras where he met actor Sobhan Babu while working in a shop selling flowers for film sets. As Veerayya was a dwarf, Sobhan Babu advised him to meet directors like B. Vittalacharya for suitable roles in their films. On his advice, Veerayya met Vittalacharya who cast him in the film Aggidora (1967) featuring Kanta Rao and N. T. Rama Rao. Later, he acted in films like Aggi Veerudu (1969), Tata-Manavadu (1972), Radhamma Pelli (1974), Jaganmohini (1978), Yugandhar (1979), Gaja Donga (1981), Attagaari Pettanam (1981), Tarzan Sundari (1988).
His characters mostly used to be that of a clown or a small demon in folklore films. He has acted in more than 500 films in Telugu, Kannada, Tamil, and Malayalam languages. During an interview, he mentioned that Raja Babu and Dasari Narayana Rao had encouraged him in the initial phase of his career.
In 2007, OneIndia reported that he was living in poverty. Knowing his plight, Chiranjeevi had extended monetary help of ₹2 lakh.

## Personal life

He had three daughters. His youngest daughter Vijayadurga is an actor in the Telugu film industry. His wife Mallika passed away in 2008.

## Death

He died on 25 April 2021, aged 74 or 75, at a private hospital in Hyderabad due to heart-related ailments.

## Filmography

* Aggidora (1967)
* Aggi Veerudu (1969)
* Tata Manavadu (1972)
* Radhamma Pelli (1974)
* Jaganmohini (1978)
* Yugandhar (1979)
* Sri Rama Bantu (1979)
* Gaja Donga (1981)
* Gola Nagamma (1981)
* Attagaari Pettanam (1981)
* Chandirani (1983)
* Tarzan Sundari (1983) as Tribal Chief
* Rowdy Police (1987)
* Rowdy Babai (1987)
* Samsaram Oka Chadarangam (1987) as Washerman
* Ukku Sankellu (1988)
* Brahma Puthrudu (1988)
* Mayadari Kutumbam (1995)
* 786 Khaidi Premakatha (2005)
# Taşdemir, Pazarcık

Taşdemir is a neighbourhood in the municipality and district of Pazarcık, Kahramanmaraş Province, Turkey. The village had a population of 471 in 2022.
The primary school is PAZARCIK - Taşdemir İlkokulu.
# Kyosuke Kajikawa

Kyosuke Kajikawa (梶川喬介, Kajikawa Kyōsuke, born 5 September 1987) is a Japanese international rugby union player who plays as a lock or flanker. He currently plays for the Sunwolves in Super Rugby and Toshiba Brave Lupus in Japan's domestic Top League.

## Club career

Kajikawa signed for the Toshiba Brave Lupus ahead of the 2010-11 Top League season, bit didn't make his debut until the following year. By 2012 he had become a regular starter and had made more than 50 Top League appearances by the beginning of the 2016-17 season.

## International

Kajikawa received his first call-up to Japan's senior squad ahead of the 2016 end-of-year rugby union internationals. He debuted in new head coach, Jamie Joseph's first game, a 54-20 loss at home to Argentina.
# Mirbag District

Mirbag District (Persian: بخش میربگ) is in Delfan County, Lorestan province, Iran. Its capital is the village of Mirbag.

## History

In 2022, Mirbag-e Jonubi and Mirbag-e Shomali Rural Districts were separated from the Central District in the formation of Mirbag District.

## Demographics
### Administrative divisions

Mirbag District :
* Administrative Divisions
* Mirbag-e Jonubi RD
* Mirbag-e Shomali RD
* RD = Rural District
# Frank Varey

Frank Varey (31 March 1908 – 8 February 1988) was a former international speedway rider who featured in the Speedway World Championship finals in 1937 and 1938. He also featured in two Star Riders' Championships, the forerunner to the World Championship, in 1932 and 1933. He earned 21 international caps for the England national speedway team. He was born in Eldwick and died in Sheffield.

## Career summary
### Rider

Varey began his speedway career competing in open meetings in 1928 before signing for the Belle Vue Aces who had joined the newly formed Northern League in 1929. Varey began succeeding quickly but had a reputation of being a hard, uncompromising rider which often led him to disciplinary problems with speedway authorities, confrontations and occasional scuffles with other riders and on several occasions needing police escorts from stadiums after on-track action upset the home fans at other tracks.
During the winter of 1929–1930, Varey rode in meetings in Argentina, where the local fans gave him the nickname of El Diablo Rojo (The Red Devil) which further established his tough image even further.
Varey was very successful at Belle Vue. After being made captain in 1931 following the retirement of his friend and rival Arthur Franklyn, the team won the National League Championship four seasons in a row from 1933 to 1936 and were leading in the 1939 season until it was abandoned due to the outbreak of World War II. The Aces also won the National Trophy in those same four seasons.
Varey was selected to ride for England in the first ever Ashes Test Match series against Australia and was awarded the captaincy in the test held at Belle Vue.
He continued to ride during the war and in 1944 won the British Wartime Championship.

### Promoter

At the end of 1945 he decided to retire from racing and began promoting speedway at the Owlerton Stadium in Sheffield, staying as promoter of the Sheffield Tigers until 1950 before a spell promoting the Edinburgh Monarchs. Varey restarted speedway at Sheffield in 1960 in the Provincial League and remained until ill health forced him to relinquish control.
Varey returned to Belle Vue as team manager following the death of Dent Oliver the previous year but despite ongoing health problems he still helped with track preparation at Sheffield.
Varey died in February 1988.

## World Final Appearances

* 1937 - London, Wembley Stadium - 15th - 3pts + 8 semi-final points
* 1938 - London, Wembley Stadium - 17th - 0pts + 4 semi-final points

## Players cigarette cards

Varey is listed as number 46 of 50 in the 1930s Player's cigarette card collection.
# Parsęcko

Parsęcko (German Persanzig) is a village in the administrative district of Gmina Szczecinek, within Szczecinek County, West Pomeranian Voivodeship, in north-western Poland. It lies approximately 7 kilometres (4 mi) west of Szczecinek and 137 km (85 mi) east of the regional capital Szczecin.
Before 1648 the area was part of Duchy of Pomerania, 1648-1945 Prussia and Germany. For the history of the region, see History of Pomerania. Persanzig Manor being owned by the Bayer family.
# Kirchmeyer

Kirchmeyer is a surname. Notable people with the surname include:
* Helmut Kirchmeyer (born 1930), German musicologist and historian
* Ray Kirchmeyer, American football player and coach
# Víctor Bustamante

Víctor Bustamante (born 22 August 1994) is a Spanish former figure skater. He is a four-time Spanish national junior champion and has competed at three World Junior Championships.

## Programs

| Season | Short program | Free skating |
| 2013–2014 | The Impossible by Fernando Velázquez | An American in Paris by George Gershwin |
| 2012–2013 | Danse Macabre by Camille Saint-Saëns | The Mission by Ennio Morricone |
| 2011–2012 | Vesti la giubba (from Pagliacci) by Ruggero Leoncavallo | Spartacus by Aram Khachaturian |
| 2010–2011 | Sing, Sing, Sing by Benny Goodman | Tango medley by Astor Piazzolla |

## Competitive highlights

JGP: Junior Grand Prix
International :
| Event | 2010–11 | 2011–12 | 2012–13 | 2013–14 |
| NRW Trophy | | | 20th | |
| International: Junior or novice |||||
| Junior Worlds | | 15th PR | 18th | 23rd |
| JGP Austria | | 14th | | |
| JGP Czech Rep. | | | | 13th |
| JGP France | 13th | | 12th | |
| JGP Germany | 25th | | 7th | |
| JGP Italy | | 14th | | |
| JGP Slovakia | | | | 20th |
| EYOF | 9th J. | | | |
| Toruń Cup | | | | 2nd J. |
| Triglav Trophy | | 7th J. | | |
| National |||||
| Spanish Champ. | 1st J. | 1st J. | 1st J. | 1st J. |
# 2026 Wyoming elections

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The 2026 Wyoming elections will be held in large part on November 3, 2026, to elect members of the federal, state, and local governments.

## Election schedule

* August 19, 2024: State, federal, and local primaries.
* November 3, 2024: General election.
# National Institute of Technology, Kushiro college

Kushiro National College of Technology（Japanese: 日本語:釧路工業高等専門学校（くしろこうぎょうこうとうせんもんがっこう）) is a national college of technology in Kushiro, Hokkaido, Japan. It was founded in 1965.

## Departments
### Department（Associate Course）
#### Students admitted after 2016

* Department of Creative Engineering
** Smart Mechanics Course
*** Field of Information Engineering, Field of Mechanical Engineering
** Electronics Course
*** Field of Electrical Engineering, Field of Electronic Engineering
** Architecture Course
*** Field of Architecture

#### Students admitted before 2015

* Department of Mechanical Engineering
* Department of Electrical Engineering
* Department of Electronic Engineering
* Department of Information Engineering
* Department of Architecture

### Advanced Course

* Advanced Course of Construction and Manufacturing Systems Engineering
* Advanced Course of Electronic and Information Systems Engineering

### Library

The library encompasses an area of 1,550 m$^2$ (16,700 sq ft) and holds about 96,764 books as of 27 February 2012. Following renovation work in 2013, it has since become barrier-free. In addition to books, the library also offers magazines, DVD, CD-ROM, etc. PCs are available for information searching. The library is open to all; be they students, faculty staff, or outsiders, allowing anyone to request book loans.

### Cooperative Technology Center

Established in 2000 with the aim of supporting local industries through joint research.

### Dormitory

Tsurusho Dormitory, as the dormitory on school grounds is called, has a total capacity of 431 students (336 males and 95 females) as of 2019.
Only graduate students who live outside Kushiro are allowed to stay in the dormitory, for up to 5 years.
# Tony Cline Jr.

Anthony Francis Cline Jr. (born November 24, 1971) is an American former professional football tight end. He played high school football at Davis Senior High School and college football at Stanford University. Cline was a member of the Phi Delta Theta fraternity and studied qualitative economics during his time at Stanford.
Cline was selected by the Buffalo Bills with the 33rd pick in the fourth round of the 1995 NFL draft. He played in the National Football League (NFL) for the Bills from 1995 to 1997, Pittsburgh Steelers in 1999, and San Francisco 49ers in 1999. Cline retired following the 1999 season.
Cline's father, Tony Sr., was a defensive lineman for eight seasons in the NFL with the Oakland Raiders and San Francisco 49ers.
# Piaseczno, Choszczno County

Piaseczno (German: Pätznickerie) is a settlement in the administrative district of Gmina Bierzwnik, within Choszczno County, West Pomeranian Voivodeship, in north-western Poland. It lies approximately 14 kilometres (9 mi) north-east of Bierzwnik, 28 km (17 mi) east of Choszczno, and 89 km (55 mi) east of the regional capital Szczecin.
For the history of the region, see History of Pomerania.
# Tom Long (outfielder)

Thomas Augustus Long (June 1, 1890 – June 23, 1972), was a professional baseball outfielder in the Major Leagues from 1911–1917. He played for the Washington Senators and St. Louis Cardinals.
In 418 games over five seasons, Long posted a .269 batting average (401-for-1489) with 148 runs, 6 home runs and 140 RBI. He finished his career with a .928 fielding percentage at all three outfield positions. In 1915, he led the National League in triples with 25.