hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Secant variety
In algebraic geometry, the secant variety , or the variety of chords, of a projective variety  is the Zariski closure of the union of all secant lines (chords) to V in :

(for , the line  is the tangent line.) It is also the image under the projection  of the closure Z of the incidence variety

.

Note that Z has dimension  and so  has dimension at most .

More generally, the  secant variety is the Zariski closure of the union of the linear spaces spanned by collections of k+1 points on . It may be denoted by . The above secant variety is the first secant variety.  Unless , it is always singular along , but may have other singular points.

If  has dimension d, the dimension of  is at most .
A useful tool for computing the dimension of a secant variety is Terracini's lemma.

Singular point of an algebraic variety
In the mathematical field of algebraic geometry, a singular point of an algebraic variety V is a point P that is 'special' (so, singular), in the geometric sense that at this point the tangent space at the variety may not be regularly defined. In case of varieties defined over the reals, this notion generalizes the notion of local non-flatness. A point of an algebraic variety that is not singular is said to be regular. An algebraic variety that has no singular point is said to be non-singular or smooth. The concept is generalized to smooth schemes in the modern language of scheme theory.
Food for the Soul
Food for the Soul (日々は過ぎれど飯うまし, Hibi wa Sugiredo Meshi Umashi; lit. "Days Go By But Food Is Delicious") is an original Japanese anime television series created by Atto, the author of Non Non Biyori, produced by Aniplex and animated by P.A. Works. It aired from April to June 2025. A manga adaptation illustrated by Quro began serialization on Media Factory's Comic Alive+ manga website in March 2025.

Aniplus
Aniplus Inc. (Korean: 주식회사 애니플러스; RR: Jusighoesa Aniplus) is a South Korean television channel and anime distributor. Founded in 2004, the company also operates different businesses including a video on demand platform and a merchandising arm in its own country.

Aniplus is owned by JJ MediaWorks, a VOD service provider. It distributes its programs outside its own platforms to clients such as Netflix and Coupang Play.
Lucy Easthope
Lucy Easthope is a British expert and adviser on emergency planning and disaster recovery. She is a former Professor in Practice of Risk and Hazard at the University of Durham, and co-founder of the After Disaster Network at the university. She is also a visiting professor in mass fatalities and pandemics at the Centre for Death and Society at the University of Bath, a researcher at the Joint Centre for Disaster Research at Massey University, a former Senior Fellow of the Emergency Planning College, and a member of the Cabinet Office National Risk Assessment Behavioural Science Expert Group.

She is the author of  When the Dust Settles: Stories of Love, Loss and Hope from an Expert in Disaster and The Recovery Myth: The Plans and Situated Realities of Post-Disaster Response.

Adviser
An adviser or advisor is normally a person with more and deeper knowledge in a specific area and usually also includes persons with cross-functional and multidisciplinary expertise. An adviser's role is that of a mentor or guide and differs categorically from that of a task-specific consultant. An adviser is typically part of the leadership, whereas consultants fulfill functional roles.

The spellings adviser and advisor have both been in use since the 16th century. Adviser has always been the more usual spelling, though advisor has gained frequency in recent years and is a common alternative, especially in North America.
Geely EX5
The Geely EX5, or the Geely Galaxy E5 (Chinese: 吉利银河E5; pinyin: Jílì Yínhé E5) in China, is a battery electric compact crossover SUV produced and manufactured by the Chinese automaker Geely Auto since 2024.

Debuting in May 2024, it is the second battery electric vehicle within the company's Galaxy product line after the Geely Galaxy E8 sedan. It is the first vehicle to be built on Geely's Global Intelligent New Energy Architecture (GEA) platform, a derivative of the company's self-developed Sustainable Experience Architecture (SEA). A plug-in hybrid version of the car, the Geely Galaxy Starship 7, was made available since October 2024, featuring a revised styling while retaining some body panels from the former.

Malaysian automaker Proton, which has been a subsidiary of Geely since 2017, also marketed and sold the vehicle as the Proton eMas 7 (stylised as e.MAS 7) in Malaysia and select markets since December 2024, as the brand's first battery electric vehicle.

Compact crossover SUV
Compact crossover SUV is an automobile classification used mainly in North America to describe a segment of crossover SUV, a type of sport utility vehicle, between subcompact crossover SUV and mid-size crossover SUV.

By the late 2010s, the segment had emerged as the most popular automobile segment in several regions. For example, nearly one in every four cars sold in the United States in 2019 was a compact crossover, at about 24.2 percent.

The best-selling vehicle in the segment in 2020 was the Toyota RAV4, with 995,762 units sold globally. It was also the second best-selling automobile in the world after the Toyota Corolla in 2021.
Adolf Rembte
Adolf Rembte (21 July 1902 - 4 November 1937) was a German communist and resistance fighter against the Nazi régime.

On 14 June 1937, he was found guilty of "preparing a treasonous enterprise" and was executed by beheading on 4 November 1937 in the courtyard of the Plötzensee prison.

Herbert Wehner
Richard Herbert Wehner (11 July 1906 – 19 January 1990) was a German politician. A former member of the Communist Party of Germany (KPD), he joined the Social Democratic Party of Germany (SPD) after World War II. He served as Federal Minister of Intra-German Relations from 1966 to 1969 and thereafter as chairman of the SPD parliamentary group in the Bundestag until 1983.

During his tenure in the Bundestag from 1949 to 1983, Wehner became famous for his caustic rhetoric and heckling style, often hurling personal insults at MPs with whom he disagreed. He holds the record for official censures (77 by one count, 78 or 79 by others) handed down by the presiding officer.
Stonebridge Park Depot
Stonebridge Park Depot was also the historic name for part of Wembley Intercity Depot

Stonebridge Park Depot is a stabling and maintenance depot for trains on the Bakerloo line of the London Underground in England. It opened in 1979, as part of the restructuring that resulted in the Bakerloo line's Stanmore branch becoming part of the Jubilee line. It is the main depot on the Bakerloo line, and has been used for stabling stock dating from 1938, 1959 and 1972. In addition, trains of 1972 Stock from the Northern line have been transferred to the depot temporarily for overhaul.

Wembley Intercity Depot
Wembley Intercity Depot (alternatively, Wembley Brent Depot) is an Electric Traction Depot located in Wembley, London Borough of Brent, England. The depot is situated alongside Wembley Yard, on the eastern side of the West Coast Main Line, to the south of Wembley Central station.

The depot code is WB.

Part of the depot was originally known as Stonebridge Park Depot, which is also the name of the adjacent London Underground facility. Stonebridge Park station, on the Watford DC and Bakerloo lines, is to the immediate south-east and Willesden Brent Sidings are across the A406 North Circular Road, also to the south-east.
Tri-City Posse
The Tri-City Posse was an American minor league baseball team located in the Tri-Cities of Washington. The team was a founding member of the independent Western Baseball League, and was not affiliated with any Major League Baseball team. Posse Stadium (since renamed Gesa Stadium) in west Pasco was built to host the team.

The Posse had a mix of good and bad seasons. They made it to the championship series in their first two seasons, losing best-of-five series to the Long Beach Barracudas in 1995 and 1996. After finishing last in their division in 1997 and 1998, the Posse finally won a championship by defeating the Chico Heat in a best-of-five series in 1999.

The Posse disbanded ahead of the 2001 season. The Pasco City Council signed a 10-year agreement for the Portland Rockies (one of the Colorado Rockies' minor league affiliate of the Colorado Rockies) to take over the Posse's stadium. This team, renamed as the Tri-City Dust Devils, continues to play in the Tri-Cities as of 2025.

Portland Rockies
The Portland Rockies were a minor league baseball team that played in Portland, Oregon. The Rockies were members of the Class A-Short Season Northwest League for six years, from 1995 through 2000. Prior to relocating to Portland, the franchise played in Bend as the Bend Rockies from 1992 through 1994.
Fortuna Air Force Station
Fortuna Air Force Station is a closed United States Air Force General Surveillance Radar station.  It is located 4.2 miles (6.8 km)  west of Fortuna, North Dakota.  It was closed in 1979 as a radar station, remaining as a Long-Range Radar (LRR) facility until 1984.

Fortuna Air Force Station was part of the last batch of twenty-three radar stations constructed as part of the Air Defense Command permanent network.  It was activated in April, and declared  completely operational in late 1952.

AN/FPS-6 Radar
The AN/FPS-6 Radar was a long-range height finding radar used by the United States Air Force's Air Defense Command. The AN/FPS-6 radar was introduced into service in the late 1950s and served as the principal height-finder radar for the United States for several decades thereafter. It was also used by the Royal Air Force alongside their AMES Type 80s. Built by General Electric, the S-band radar operated on a frequency of 2700 to 2900 MHz. Between 1953 and 1960, about 450 units of the AN/FPS-6 and the mobile AN/MPS-14 version were produced. The AN/FPS-90 and AN/FPS-116 radars were identical to the AN/FPS-6 except for receiver modifications.

In accordance with the Joint Electronics Type Designation System (JETDS), the "AN/FPS-6" designation represents the 6th design of an Army-Navy electronic device for fixed ground search radar. The JETDS system also now is used to name all Department of Defense electronic systems.
Château Beauregard
Château Beauregard is a Bordeaux wine estate from the appellation Pomerol. The winery is located on the Right Bank of the Bordeaux wine region, in the commune of Pomerol in the department Gironde. As all wine produced in this appellation, Château Beauregard is unclassified but the estate is estimated among the great growths of the region.

Placed on the eastern outskirts of Pomerol and the hamlet Catusseau near Saint-Émilion, the estate lies in a cluster with Château Petit-Village, Vieux Château Certan and Château La Conseillante.

The estate also produces a second wine, Le Benjamin de Beauregard.

Vieux Château Certan
44°55′40″N 0°11′52″W﻿ / ﻿44.92774°N 0.19789°W﻿ / 44.92774; -0.19789

Vieux Château Certan is a Bordeaux wine from the appellation Pomerol. The winery is located on the Right Bank of the Bordeaux wine region, in the commune of Pomerol in the department Gironde. As all wine produced in this appellation, Vieux Château Certan is unclassified, but the estate is long recognised as among the great growths of the region, and by some reckoned comparable to neighbouring estate Château Pétrus.

The château also produces a second wine named Gravette de Certan.
Julian de Guzman
Julian Bobby de Guzman (born March 25, 1981) is a Canadian soccer executive and former professional player and coach who currently serves as the Head of Sport for the New York Red Bulls in Major League Soccer.

A midfielder, De Guzman was the first Canadian to play in La Liga. While playing in Spain, he was voted 2007–08 Deportivo La Coruña Player of the Year.

De Guzman has played at both the Canadian U-20 and Senior level, he was awarded the Canadian Player of the Year in 2008 and in 2007 became only the second Canadian international to be awarded the CONCACAF Gold Cup Most Valuable Player. He was the all-time cap leader of the Canada national team from November 2015, when he surpassed Paul Stalteri's previous record of 84 appearances, to November 2021, when Atiba Hutchinson surpassed De Guzman's final tally of 89 caps. From 2013 to 2016, he was captain of the Canadian men's national team.

2009 CONCACAF Gold Cup
The 2009 CONCACAF Gold Cup was the tenth edition of the CONCACAF Gold Cup competition, and the twentieth soccer championship of North America, Central America and the Caribbean (CONCACAF). It was played from July 3 to 26, 2009 in the United States. This competition was the fourth tournament without guests from other confederations. Mexico won their fifth Gold Cup, and eighth CONCACAF Championship overall, after beating the United States 5–0 in the final. It was the second consecutive Gold Cup final and fourth overall to feature Mexico and the United States and the third won by Mexico.
Agona West Municipal District
Agona West Municipal District is one of the twenty-two districts in Central Region, Ghana.  Originally, it was part of the then-larger Agona District in 1988, until the eastern part of the district was split off to create Agona East District on 29 February 2008; thus the remaining part has been renamed as Agona West District, which was also elevated to municipal district assembly status on that same year to become Agona West Municipal District. The municipality is located in the northeast part of Central Region and has Agona Swedru as its capital town. The current MP for Agona west municipal constituency is Ernestina Ofori Dangbey,

Central Region (Ghana)
The Central Region is one of the sixteen administrative regions of Ghana. Ashanti and Eastern regions border it to the north, Western region to the west, Greater Accra region to the east, and the Gulf of Guinea to the south. The Central Region is renowned for its many elite high schools and an economy based on an abundance of industrial minerals and tourism. The Central region has tourist attractions including castles, forts and beaches along the region's coastline.
Bučje, Pleternica
Bučje is a village in Požega-Slavonia County, Croatia. The village is administered as a part of the City of Pleternica.
According to national census of 2011, population of the village is 318. The village is connected by the D38 state road.

Pleternica
Pleternica is a town in the region of Slavonia, Croatia, 12 km (7.5 mi) southeast of Požega, in the Požega Valley (Požeška kotlina). The population of the municipality is 11,323, with 3,418 in Pleternica itself (2011).

Pleternica is located at the confluence of the river Londža into the Orljava river, at the foot of the mountain Požeška Gora; elevation 153 m (502 ft).
Otjiherero grammar
Otjiherero grammar is the grammar of the Herero language (Otjiherero), a Bantu language spoken primarily in Namibia. It includes several hallmarks of Bantu languages such as a large number of noun classes and the use of subject concords.

Herero language
Herero (Otjiherero) is a Bantu language spoken by the Herero and Mbanderu peoples in Namibia and Botswana, as well as by small communities of people in southwestern Angola. There were 250,000 speakers in these countries between 2015 and 2018.
Jacques de Meulles
Jacques de Meulles, seigneur of La Source (died 1703), was intendant (1682–86) and interim governor general of New France.  He was the son of Pierre de Meulles, king's councillor, treasurer-general of war supplies; d. 1703.

As chief administrator of the Colony, he issued playing cards as legal tender from 1684 onwards owing to a shortage of coins. The funds were used, in part, to pay soldiers who arrived in New France since 1665 to protect and built the colony.

He frequently came into conflict with Louis de Buade de Frontenac, the governor of New France, including a dispute over the siting of Quebec (Meulles wanted to rebuild it further into the lower-town).  After his colonial career, he retired to Orléans.

Intendant of New France
The Intendant of New France was an administrative position in the French colony of New France. He controlled the colony's entire civil administration. He gave particular attention to settlement and economic development, and to the administration of justice. The office of the Intendant of New France was created by Louis XIV. In 1663, Louis and his minister decided to give New France a new constitution. The charter of the One Hundred Associates was cancelled and the old Council of Quebec, which was formed in 1647, reorganized and became the Sovereign Council of New France. The Sovereign Council was composed of the governor, the bishop, the intendant, an attorney-general, a secretary, and five councillors. Because the Intendant of New France managed the financial matters like money and so on, as well as the infrastructure of the colony, he had an enormous amount of influence in the colony's government.
1973 AAA Championships
The 1973 AAA Championships was the 1973 edition of the annual outdoor track and field competition organised by the Amateur Athletic Association (AAA). It was held from 13 to 14 July 1973 at Crystal Palace National Sports Centre in London, England.

AAA Championships
The AAA Championships was an annual track and field competition organised by the Amateur Athletic Association of England. It was the foremost domestic athletics event in the United Kingdom during its lifetime, despite the existence of the official UK Athletics Championships organised by the then governing body for British athletics, the British Athletics Federation between 1977 and 1993, and again in 1997. It was succeeded by the British Athletics Championships, organised by the BEF's replacement (successor), UK Athletics under its brand name British Athletics.
Dr. Walter Thomison House
The Dr. Walter Thomison House is a historic house in Dayton, Tennessee, U.S.. it was built in 1890 for Walter Thomison, a physician, and his wife, Ella Darwin Thomison. It remained in the Thomison family until 1989. It was designed in the Colonial Revival architectural style. It has been listed on the National Register of Historic Places since September 11, 1997.

It has also been known as the Magnolia House Bed and Breakfast.

Dayton, Tennessee
Dayton is a city in and the county seat of Rhea County, Tennessee, United States.  As of the 2020 census, the city population was 7,065. The Dayton Urban Cluster includes developed areas adjacent to the city and extends south to Graysville.

Dayton was the site of the Scopes trial in 1925 dealing with the rejection of evolution by religious groups.
Wage Earner Protection Program Act
The Wage Earner Protection Program Act (French: Loi sur le Programme de protection des salariés; S.C. 2005, c. 47, s.1), is an act of the Parliament of Canada. It was part of a package of reforms to the insolvency law of Canada that were brought into force in 2008 and 2009  to compensate employees of companies made bankrupt or placed into receivership under the Bankruptcy and Insolvency Act. It was subsequently expanded in 2011 to cover employees who lose their jobs when their employer's attempt at restructuring subsequently ends in bankruptcy or receivership.

Receivership
In law, receivership is a situation in which an institution or enterprise is held by a receiver – a person "placed in the custodial responsibility for the property of others, including tangible and intangible assets and rights" – especially in cases where a company cannot meet its financial obligations and is said to be insolvent. The receivership remedy is an equitable remedy that emerged in the English chancery courts, where receivers were appointed to protect real property. Receiverships are also a remedy of last resort in litigation involving the conduct of executive agencies that fail to comply with constitutional or statutory obligations to populations that rely on those agencies for their basic human rights.
Veeva Systems
Veeva Systems Inc., headquartered in Pleasanton, California, provides cloud software, data, and business consulting for the life sciences industry. Its software is used to manage data, track regulatory registrations, and oversee supply chains. The company is a public benefit corporation.

The company has 1,477 customers including Bayer, Boehringer Ingelheim, Eli Lilly and Company, Gilead Sciences, Merck & Co., Novartis, Alkermes plc, Alnylam Pharmaceuticals, bluebird bio, and Idorsia. Its primary competitor for its customer relationship management software is Salesforce, which is partnered with IQVIA.

Bluebird bio
bluebird bio, Inc., based in Somerville, Massachusetts, is a biotechnology company that develops gene therapies for severe genetic disorders. The company is owned by investment funds managed by The Carlyle Group and SK Capital Partners.

One of the company's approved drugs is betibeglogene autotemcel (Zynteglo), which treats transfusion-dependent beta thalassemia (TDT), a rare genetic blood disorder, and has been approved for use by the European Medicines Agency. The company has been criticized for the $1.8 million cost of the drug, which is the second most expensive drug in the world.

The company is developing LentiGlobin gene therapy for the treatment of sickle cell disease and cerebral adrenoleukodystrophy. It is also developing T cell product candidates to treat acute myeloid leukemia, Merkel-cell carcinoma, diffuse large B-cell lymphoma, and MAGEA4 solid tumors.
Arvi Savolainen
Arvi Martin Savolainen (born 24 October 1998) is a Finnish Greco-Roman wrestler. He won the silver medal in the 97 kg event at the 2022 European Wrestling Championships held in Budapest, Hungary. He represented Finland at the 2020 Summer Olympics in Tokyo, Japan and the 2024 Summer Olympics in Paris, France.

Finnish Olympic Committee
The Finnish Olympic Committee (Finnish: Suomen Olympiakomitea ry; Swedish: Finlands Olympiska Kommitté rf; IOC Code: FIN) is the national Olympic committee in Finland for the Olympic Games movement. It is a non-profit organisation that selects teams, and raises funds to send Finnish competitors to Olympic events organised by the International Olympic Committee (IOC).

The schools, colleges, universities and other establishments in the programme are organised into local clusters. For example:

The Sotkamo High School works in collaboration with several other schools, colleges and universities as part of the Vuokatti-Ruka Sports Academy.

The Joensuu Sports Academy is a co-operation network of schools, colleges and universities.

The Urhea Metropolitan Sports Academy is based in Helsinki and includes the National Olympic Training Centre.

Others include the Kuortane High School and Sports Academy and the Pajulahti Sports Institute.
Baguia Fort
A fort was constructed in strategically-located Baguia, East Timor in the early 20th century. The fort was used as an administrative centre, prison, and residence during Portuguese rule. Use of the fort continued under Indonesian rule, although the structure began to decay. The fort was restored following a national government initiative in 2014 and now serves as a tourist accommodation.

Portuguese Timor
Portuguese Timor (Portuguese: Timor Português) was a Portuguese colony on the territory of present-day Timor-Leste from 1702 until 1975. During most of this period, Portugal shared the island of Timor with the Dutch East Indies (now Indonesia)

The first Europeans to arrive in the region were the Portuguese in 1515. Dominican friars established a presence on the island in 1556, and the territory was declared a Portuguese colony in 1702. Following the beginning of the Carnation Revolution (a Lisbon-instigated decolonisation process) in 1975, East Timor was invaded by Indonesia. However, the invasion was not recognised as legal by the United Nations (UN), which continued to regard Portugal as the legal Administering Power of East Timor. The independence of East Timor was finally achieved in 2002 following a UN-administered transition period.