OpenLLM-France/wikimedia huggingface dataset:
# Ushiki's theorem

In mathematics, particularly in the study of functions of several complex variables, Ushiki's theorem, named after S. Ushiki, states that certain well-behaved functions cannot have certain kinds of well-behaved invariant manifolds.

## The theorem

A biholomorphic mapping $F:\mathbb {C} ^{n}\to \mathbb {C} ^{n}$ cannot have a 1-dimensional compact smooth invariant manifold. In particular, such a map cannot have a homoclinic connection or heteroclinic connection.

## Commentary

Invariant manifolds typically appear as solutions of certain asymptotic problems in dynamical systems. The most common is the stable manifold or its kin, the unstable manifold.

## The publication

Ushiki's theorem was published in 1980. The theorem appeared in print again several years later, in a certain Russian journal, by an author apparently unaware of Ushiki's work.

## An application

The standard map cannot have a homoclinic or heteroclinic connection. The practical consequence is that one cannot show the existence of a Smale's horseshoe in this system by a perturbation method, starting from a homoclinic or heteroclinic connection. Nevertheless, one can show that Smale's horseshoe exists in the standard map for many parameter values, based on crude rigorous numerical calculations.
# Upplandsmuseet

Upplandsmuseet is the county museum of Uppsala County, Sweden.
The institution is responsible for preservation and conducting research in the area of the cultural history and archaeology of the county, including the city of Uppsala (parts of the historical province of Uppland, from which the museum takes its name, belong to Stockholm County). The permanent exhibition covers subjects such as the history of the city, of Uppsala Cathedral, and of student life at Uppsala University. Public activities are conducted in the Akademikvarnen, the open air museum Disagården in Gamla Uppsala and at Walmstedtska gården in the Karin district of Uppsala.
The museum is headquartered in the Akademikvarnen, a former water mill belonging to the university, located on the Fyris River in central Uppsala. The former water mill was completed in 1768. It remained in operation until 1946. Between 1957 and 1959 the mill's premises were rebuilt to house the Uppland Museum. The exterior of the building was used by Ingmar Bergman for the bishop's house in the film Fanny and Alexander (1982).
# Uri Alon

Uri Alon (Hebrew: אורי אלון; born 1969) is a Professor and Systems Biologist at the Weizmann Institute of Science. His highly cited research investigates gene expression, network motifs and the design principles of biological networks in Escherichia coli and other organisms using both computational biology and traditional experimental wet laboratory techniques.

## Education

Alon earned his bachelor's and master's degrees from the Hebrew University of Jerusalem and his Ph.D. in Theoretical Physics from the Weizmann Institute of Science.

## Career

After having his interest in biology sparked, Alon headed to Princeton University for his postdoctoral work in experimental biology. He returned to the Weizmann Institute as a professor.
Alon features in several popular videos on YouTube such as Sunday at the Lab (with Michael Elowitz) and How to Give a Good Talk. As of 2011, he is the author of the most highly bookmarked scientific paper on CiteULike How To Choose a Good Scientific Problem and How to Build a Motivated Research Group.
In 2021 he was appointed visiting professor in the bioengineering department of Stanford University. He is a member of the IBS Biomedical Mathematics Group.

## Research

Uri Alon significantly contributed to our understanding of gene regulatory networks and generalized the term network motif in 2002.
Together with his team, he reunited different theories of endocrine feedback loops by introducing the closely related concepts of dynamical compensation and autoimmune surveillance of hypersecreting mutants (ASHM). The theories are able to explain a plethora of phenomena ranging from circannual endocrine rhythms over type 2 diabetes and other common endocrine disorders to alcohol addiction and age-related diseases.

## Awards

In 2004 Alon was awarded the Overton Prize for "outstanding accomplishment by a scientist in the early to mid stage of his or her career" by the International Society for Computational Biology. Alon has also been awarded:
* Moore Fellowship, California Institute of Technology (2000)
* EMBO Young Investigator Award (2001)
* IBM Faculty Award (2003)
* Minerva Junior Research Group on Biological Computation (2003)
* Morris L. Levinson Award in Biology (2003)
* Teva Founders Prize (2005)
* European Molecular Biology Organization membership (2007)
* Radcliffe Institute for Advanced Study fellow 2009
* HFSP Nakasone Award (2014)
# Utuhina

Utuhina is a suburb of Rotorua in the Bay of Plenty Region of New Zealand's North Island.

## Demographics

Utuhina covers 0.67 km$^2$ (0.26 sq mi) and had an estimated population of 1,600 as of June 2023, with a population density of 2,388 people per km$^2$.
Utuhina had a population of 1,491 at the 2018 New Zealand census, an increase of 114 people (8.3%) since the 2013 census, and an increase of 87 people (6.2%) since the 2006 census. There were 522 households, comprising 723 males and 768 females, giving a sex ratio of 0.94 males per female. The median age was 36.6 years (compared with 37.4 years nationally), with 315 people (21.1%) aged under 15 years, 327 (21.9%) aged 15 to 29, 651 (43.7%) aged 30 to 64, and 201 (13.5%) aged 65 or older.
Ethnicities were 56.7% European/Pākehā, 37.0% Māori, 7.8% Pacific peoples, 17.9% Asian, and 1.0% other ethnicities. People may identify with more than one ethnicity.
The percentage of people born overseas was 23.5, compared with 27.1% nationally.
Although some people chose not to answer the census's question about religious affiliation, 45.1% had no religion, 34.6% were Christian, 1.8% had Māori religious beliefs, 6.2% were Hindu, 0.2% were Muslim, 0.4% were Buddhist and 3.4% had other religions.
Of those at least 15 years old, 186 (15.8%) people had a bachelor's or higher degree, and 231 (19.6%) people had no formal qualifications. The median income was $27,300, compared with $31,800 nationally. 120 people (10.2%) earned over $70,000 compared to 17.2% nationally. The employment status of those at least 15 was that 585 (49.7%) people were employed full-time, 192 (16.3%) were part-time, and 66 (5.6%) were unemployed.

## Marae

Mataatua Marae was established in the 1960s as a gathering place for the Tūhoe people.
Local Tuhoe had been calling for Māori Land Court to set aside land for a Tuhoe marae reservation in Rotorua. The land was ultimately made available by the Ngāti Whakaue people; the meeting hall Aroha a te Arawa was named in recognition of Tuhoe's gratitude for the gift of the land.
Families began living on the land from 1962, and Eastern Maori MP Paraone Reweti opened a community centre on the site in 1969.
In October 2020, the Government committed $3,996,258 from the Provincial Growth Fund to upgrade the marae and 7 others, creating 79 jobs.

## Education

Two co-educational state primary schools are located in Utuhina. Malfroy School is a Year 1 to 6 school, with a roll of 313. Rotorua School is a Year 1 to 8 school, with a roll of 391.
Rotorua Boys' High School is a state secondary school, with a roll of 1209.
John Paul College is a state-integrated Year 7 to 13 school, with a roll of 1115.
# VCP

VCP may refer to:

## Places

* Van Cortlandt Park, New York City
* Viracopos International Airport (IATA: VCP), near São Paulo, Brazil

## Organizations

* Communist Party of Vietnam, also known as Vietnamese Communist Party
* Verband Christlicher Pfadfinderinnen und Pfadfinder, a German Scouting association
* United Communist Party (Netherlands) (Verenigde Communistische Partij), a communist party in the Netherlands
* Victorian College of Pharmacy, at Monash University, Parkville, Victoria, Australia
* Victory for Change Party, a political party in Liberia
* Vienna Capital Partners, an independent corporate finance advisor and private equity investor
* Votorantim Celulose e Papel, a former Brazilian manufacturer of paper products

## Science and technology

* Valosin-containing protein, an ATPase enzyme
* Verville VCP, a 1920 prototype US Army Air Corps fighter plane
* Very Coarse Pottery, another name for briquetage
* Videocassette player, a device which can play but not record videocassettes
* Vitrified clay pipe, a pipe widely used in sewers
* Volume coverage pattern, a scan strategy for NEXRAD weather radar
* Viral citrullinated peptides, a target of anti–citrullinated protein antibody in rheumatoid arthritis
* virtual control panel (MCCS) — monitor control protocol

## Other uses

* Veuve Clicquot Ponsardin, a French champagne producer
* Vinos de Calidad Preferente wine classification system of Uruguay
# V22

V22 or similar may refer to:
* Bell Boeing V-22 Osprey, an American multi-mission, tiltrotor military aircraft
* Fokker V 22, a variant of the Fokker D.VII German World War I fighter aircraft
* V.22, an ITU-T V-series recommended protocol for interfaces and voiceband modems
* V22, an ICD-9 supplementary classification code for normal pregnancy
# VE-NILANGAL Rocket Launcher

VE-NILANGAL is a Venezuelan multipurpose rocket launcher created by a contract signed for Pequiven and FAN.

## Specifications

Caliber: 72mm.
# Utricularia sect. Foliosa

Utricularia sect. Foliosa is a section in the genus Utricularia. The species in this section are small or medium-sized terrestrial carnivorous plants native to North and South America.
# VGM

VGM may stand for:
* Video game music, a style of music
* Van Gogh Museum, a museum in Amsterdam named after the famous painter
* VGM (file format), a computer music file format used in old gaming consoles
* Verified Gross Mass (VERMAS or VGM), a SOLAS Convention requirement for container weight as defined by the International Maritime Organisation that transmits container weight information
* Volo's Guide to Monsters, a supplement for the 5th edition Dungeons & Dragons roleplaying game
# VGLM

VGLM may refer to:
* Lalmonirhat Airport (ICAO airport code)
* Vector generalized linear model
# Uyilankulam

Uyilankulam is a small town in Sri Lanka. It is located within the Mannar District of the Northern Province.
# VVB

VVB has more meanings:
* vvb is a Canadian brand owned by alizone
* Vereinsbank Victoria Bauspar
* Vorstenlandsche Voetbal Bond
* Vlaamse Volksbeweging
* Vereinigungen Volkseigener Betriebe
# Vaclav Vytlacil

Vaclav Vytlacil (November 1, 1892 – January 5, 1984) was an American artist and art instructor. He was among the earliest and most influential advocates of Hans Hofmann's teachings in the United States.

## Life

Vaclav "Vyt" Vytlacil was born in New York City to Czech immigrant parents on November 1, 1892. At an early age he moved with his parents to Chicago. In 1906, he began studies at the Art Institute of Chicago, returning to New York on a scholarship to the Art Students League in 1913. While there, he studied under portraitist John C. Johansen. Vytlacil left the League to take a teaching position at the Minneapolis School of Art. He also spent time in Europe, working as an assistant to Hans Hofmann and studying the Cubist movement.
During the late 1930s and early 1940s, Vytlacil taught at a variety of places, including the Art Students League of New York City, Queens College in New York, Black Mountain College in North Carolina, the California College of Arts and Crafts in Oakland, California (now California College of the Arts), and other art schools. In 1946, he rejoined the faculty of the Art Students League and remained there until his retirement in 1978. He successfully helped get his acquaintance Jan Matulka a job at Art Students League of New York. Among his students were artists such as Louise Bourgeois, Willem de Kooning, Knox Martin, Frank O'Cain, Robert Rauschenberg, James Rosenquist, Cy Twombly, and Tony Smith among others.
He was also known for being one of the founders of the American Abstract Artists group. He died in New York City, on January 5, 1984. After his death, his daughter Anne bequeathed his estate in Rockland County to The Art Students League of New York City.

## Legacy

He has been ranked alongside top modernist painters including Pablo Picasso, Henri Matisse, Georges Braque, Ben Shahn, and others by a variety of critics, including Howard Devree of the New York Times.
Vytlacil's artworks are in the collections of many museums, including The Museum of Modern Art, The Whitney Museum of American Art, the Smithsonian American Art Museum, and The Metropolitan Museum of Art. Among his pupils was the sculptor Dorothy Rieber Joralemon. His student Frank O'Cain continues to teach painting, design and color composition according to Vytlacil's theoretical principals at the Art Students League of New York.
# VI Technology

VI Technology was a privately owned company based in Austin, Texas, that provided enterprise test solutions and services. These solutions ranged from benchtop test systems to enterprise-wide test solutions. VI Technology's main product, Arendar, was used by engineering teams in design, characterization, validation, and manufacturing. Working together with key partners, Microsoft and National Instruments, VI Technology had worked with companies from the semiconductor, communications, high-tech electronics, defense, biomedical, and automotive industries. VI Technology original corporate headquarters was located in Austin, Texas, with branch locations in Dallas, Texas, and Mountain View, California.
VI Technology was bought by Aeroflex in 2009.

## History

VI Technology was founded in Austin, Texas, in 1991 by an electrical engineer and a computer scientist from the University of Texas. Founded to develop software instrument drivers for measurement instruments, the company expanded to develop automated test systems and enterprise test data management solutions for industry.

## Enterprise Test

Enterprise test is a concept that combines automated test systems and information technology to solve company-wide test problems. This concept extends the main goal of traditional test instrumentation and software which solve the problems related to individual test stations.
The idea of enterprise test encompasses multiple aspects such as enterprise test software, enterprise software platforms, engineering and business intelligence consulting services, data management, collaboration, workflow, reporting capabilities, and asset management all focused on solving the enterprise-wide testing needs.

## Arendar

Arendar is Enterprise test software which enables users to make reports and share test data throughout the organization through drag-and-drop report creation and Web-based accessibility. The enterprise test solution consists of a server module built on Microsoft SQL Server database with extensions for SQL Server Reporting Services and interfaces to standard automated test software including National Instruments LabVIEW, TestStand, LabWindows/CVI, and Microsoft Visual Studio .NET. Arendar uses a Web dashboard that enables users to display test results over the Web in advanced reports which automatically update with the latest data acquired from all test systems. Authorized users can access test results from anywhere on the network using a Microsoft Internet Explorer or Mozilla Firefox Web browser. Arendar was a Test and Measurement World Award Winner for Best in Test in 2004 and an Honorable Mention for Best in Test in 2006.
# Vac7

Vacuolar segregation protein 7 is a protein that in yeast is encoded by the VAC7 gene. VAC7 is a component of the PI(3,5)P2 regulatory complex, composed of ATG18, FIG4, FAB1, VAC14 and VAC7.

## Function

The PI(3,5)P2 regulatory complex regulates both the synthesis and turnover of phosphatidylinositol 3,5-bisphosphate (PtdIns(3,5)P2). VAC7 activates FAB1 kinase for example during hyperosmotic shock and can elevate levels of PtdIns(3,5)P2 in the absence of VAC14 and FIG4. VAC7 is directly involved in vacuolar membrane scission and is required for normal vacuole acidification, inheritance and morphology.
# Valentín Vergara

Valentín Vergara (1879-1930) was an Argentine lawyer and politician, who served as national deputy and governor of the Province of Buenos Aires.
# Vacognes-Neuilly

Vacognes-Neuilly (French pronunciation: ) is a commune in the Calvados department in the Normandy region in northwestern France.
# Valapady block

Valapady block is a revenue block of Salem district of the Indian state of Tamil Nadu. This revenue block consists of 20 panchayat villages. They are as follows:
* Athanurpatti
* Kattuveppilaipatti
* Kurichi
* Muthampatti
* Puzhuthikuttai
* Thekkalpatti
* Veppilaipatti
* Chandrapillaivalasu
* Kolathukombai
* Mannaickenpatti
* Neermullikuttai
* Singapuram
* Tirumanur
* Vilaripalayam
* Chinnamanaickenpalayam
* Komarapalayam
* Mannarpalayam
* Ponnarampatti
* Somampatti
* Tukkiyampalayam
# Vaidotas Šlekys

Vaidotas Šlekys (born 11 February 1972) is a retired Lithuanian football forward, who last played for Ekranas Panevėžys.

## Club career

Šlekys also played as a professional in Switzerland and Austria during his career. He never played for the Swiss club FC Chur 97 despite being with them for over a year.

## International career

He obtained a total number of 32 caps for the Lithuania national football team, scoring three goals.

## Honours

National Team
* Baltic Cup: 1991, 1992
# Valencia-Joaquín Sorolla railway station

Valencia-Joaquín Sorolla railway station is a railway station in Valencia, Spain, opened in 2010. Along with Estació del Nord, it is a city centre terminus station, primarily serving AVE high-speed rail services, with Estació del Nord serving all other passenger rail traffic.

## History

The station was inaugurated in 2010 along with the high-speed railway from Madrid to Valencia. It was named after painter Joaquín Sorolla, who was born in the city.

## Services

Valencia-Joaquín Sorolla station primarily serves AVE trains to Madrid Chamartín and Seville-Santa Justa via Requena-Utiel, with some continuing to Castelló de la Plana.
Alvia trains call at the station on the Oropesa del Mar to Gijón service, as do Euromed services between Alicante and Barcelona França. Intercity trains also operate from Madrid to Gandia via Joaquín Sorolla.
The nearest Metrovalencia station is Jesús.
| Preceding station | Renfe Operadora | Following station |
| Requena-Utieltowards Madrid Chamartín | AVE | Terminus |
| Cuenca-Fernando Zóbeltowards Madrid Puerta de Atocha | AVE | Castelló de la PlanaTerminus |
| Cuenca-Fernando Zóbeltowards Seville-Santa Justa | AVE | Terminus |
| Requena-Utieltowards Madrid Chamartín | Avlo | Terminus |
| Madrid Puerta de Atochatowards Gijón | Alvia | Sagunttowards Oropesa del Mar |
| Castelló de la Planatowards Barcelona Sants | Euromed | Terminus |
| Castelló de la Planatowards Barcelona Sants | Euromed | AlicanteTerminus |
| Cuenca-Fernando Zóbeltowards Madrid Puerta de Atocha | Intercity | Sagunttowards Vinaròs |
| Cuenca-Fernando Zóbeltowards Madrid Puerta de Atocha | Intercity | Culleratowards Gandía |
| Requena-UtielTerminus | Avant | Terminus |

## Future

A new Valencia Central Station will be built that eventually replaces the existing Valencia North and Joaquín Sorolla stations. It will be 12 tracks wide in 2 subterranean levels.
# Valencia, Trinidad and Tobago

Valencia is a town located in northeastern Trinidad island, in the Republic of Trinidad and Tobago.
It is administered by the Sangre Grande Regional Corporation.
# Van der Capellen Scholengemeenschap

The Van der Capellen Scholengemeenschap is a Dutch high school, named after the famous Dutch nobleman Joan van der Capellen tot den Pol. It has locations in the Dutch cities and towns of Zwolle, Elburg, Dedemsvaart and Wijhe:
* Location Lassuslaan in Zwolle is the school's main location. It offers VMBO, HAVO and VWO. It was the third school in the Netherlands to offer bilingual VWO (or TVWO) and also offers bilingual HAVO. Students who have completed their education receive an IB Diploma in English at A2 level. Pupils can choose extra subjects such as information technology, dramaturgy and musicology.
* Location Russenweg in Zwolle used to be a location of the school, but is now a joint VMBO school for pupils from all public schools in Rotterdam.
* Location Van Kinsbergen in Elburg burnt down on New Year's night of 2008. It offered VMBO, the first two years of HAVO and VWO.
* Location de Zeven Linden in Dedemsvaart offers VMBO, HAVO and VWO, and allows pupils to choose dramaturgy as extra subjects.
* Locatie Capellenborg in Wijhe offers VMBO, HAVO and VWO. Pupils can choose extra subjects such as musicology, dramaturgy and musical theatre. This school is small, with only 275 pupils.
# Valeriu Graur

Valeriu Graur (23 December 1940 – 15 September 2012) was a political dissident of Bessarabia, a member of the National Patriotic Front of Moldova.
He was the son of a Romanian officer deported to Siberia. He was born in Reni, in Ukraine, in December 1940, but says he "opened the eyes of the mind" in Siberia, where his family was deported on June 13, 1941.
He is one of the signers of the appeal addressed to Nicolae Ceaușescu in 1972. After denouncing these signatories by Security General Ion Stanescu (chairman of the State Security Council of the SRR.) He was deported for 4 years to Siberia as a result of his belonging to the National Patriotic Front of Moldova.
On August 23, 2010, the acting President of the Republic of Moldova and the President of the Parliament of the Republic of Moldova, Mihai Ghimpu, gave to Valeriu Graur, together with a group of fighters against the communist totalitarian occupation regime the "Order of the Republic".

## Biography

Between 1969 and 1971, he was a founder of a clandestine National Patriotic Front of Bessarabia and Northern Bukovina, established by several young intellectuals in Chişinău, totaling over 100 members, vowing to fight for the establishment of a Moldavian Democratic Republic, its secession from the Soviet Union and union with Romania.
In December 1971, following an informative note from Ion Stănescu, the President of the Council of State Security of the Romanian Socialist Republic, to Yuri Andropov, the chief of KGB, Valeriu Graur as well as Alexandru Usatiuc-Bulgăr, Alexandru Şoltoianu, and Gheorghe Ghimpu were arrested and later sentenced to long prison terms.

## Legacy

The Commission for the Study of the Communist Dictatorship in Moldova will study and analyze the 1940-1991 period of the communist regime.

## Publications

* 2011: "I will not forget you, Bessarabia ..."
# Valeriu Gafencu

Valeriu Gafencu (24 January 1921 – 18 February 1952) was a member of the Iron Guard who was active during the Legionnaires' rebellion. Arrested by the state authorities in 1941, he died 11 years later at Târgu Ocna Prison.
He was declared "Saint of the Prisons" by theologian Nicolae Steinhardt for his "exemplary Christian conduct and devotion to those in suffering", and the Romanian Orthodox Church was reportedly considering his canonization in 2013.

## Biography

Gafencu was born in 1921 in Sîngerei, at the time a city in Bessarabia, a region in the northeastern part of the Kingdom of Romania (now in the Republic of Moldova). He attended the Ion Creangă High School in Bălți, where Eugen Coșeriu, Sergiu Grossu, Vadim Pirogan, Ovidiu Creangă, and Valentin Mândâcanu were his classmates. Shortly after he graduated in 1940, the Soviet Union occupied Bessarabia and northern Bukovina; as a result, Gafencu and his family took refuge in Romania.
Gafencu was declared an honorary citizen of the town of Târgu Ocna in 2009, but the decision was rescinded in 2013 due to his participation in the Legionnaires' rebellion in January 1941.