OpenLLM-France/wikimedia huggingface dataset:
# Poincaré–Miranda theorem

In mathematics, the Poincaré–Miranda theorem is a generalization of intermediate value theorem, from a single function in a single dimension, to n functions in n dimensions. It says as follows:
       Consider $n$ continuous, real-valued functions of $n$ variables, $f_{1},\ldots ,f_{n}\colon [-1,1]^{n}\to \mathbb {R}$. Assume that for each variable $x_{i}$, the function $f_{i}$ is nonpositive when $x_{i}=-1$ and nonnegative when $x_{i}=1$. Then there is a point in the $n$-dimensional cube $[-1,1]^{n}$ in which all functions are simultaneously equal to $0$.
The theorem is named after Henri Poincaré — who conjectured it in 1883 — and Carlo Miranda — who in 1940 showed that it is equivalent to the Brouwer fixed-point theorem.$^{:545}$ It is sometimes called the Miranda theorem or the Bolzano–Poincaré–Miranda theorem.

## Intuitive description

The picture on the right shows an illustration of the Poincaré–Miranda theorem for n = 2 functions. Consider a couple of functions (f,g) whose domain of definition is [-1,1]$^2$ (i.e., the unit square). The function f is negative on the left boundary and positive on the right boundary (green sides of the square), while the function g is negative on the lower boundary and positive on the upper boundary (red sides of the square). When we go from left to right along any path, we must go through a point in which f is 0. Therefore, there must be a "wall" separating the left from the right, along which f is 0 (green curve inside the square). Similarly, there must be a "wall" separating the top from the bottom, along which g is 0 (red curve inside the square). These walls must intersect in a point in which both functions are 0 (blue point inside the square).

## Generalizations

The simplest generalization, as a matter of fact a corollary, of this theorem is the following one. For every variable x$_i$, let a$_i$ be any value in the range [sup$_{xi=0}$ f$_i$, inf$_{xi=1}$ f$_i$]. Then there is a point in the unit cube in which for all i:
    $f_{i}=a_{i}$.
This statement can be reduced to the original one by a simple translation of axes,
    $x_{i}^{\prime }=x_{i}\qquad y_{i}^{\prime }=y_{i}-a_{i}\qquad \forall i\in \{1,\dots ,n\}$
where
* x$_i$ are the coordinates in the domain of the function
* y$_i$ are the coordinates in the codomain of the function.
By using topological degree theory it is possible to prove yet another generalization. Poincare-Miranda was also generalized to infinite-dimensional spaces.
# Johanna Cornelius

Johanna Catharina Cornelius (27 February 1912 – 21 June 1974) was an Afrikaner activist and trade unionist. She served as the Afrikaner Garment Workers' Union of South Africa (GWU) president after Solly Sachs.

## Biography

Cornelius was born in Lichtenburg, South Africa, and grew up in rural South Africa as one of nine children. Her father and grandfather both fought in the Anglo Boer War and her mother was held in a concentration camp during the war. She and her older sister, Hester Cornelius, moved to Johannesburg in the 1920s, where Johanna eventually started working in a garment factory. Cornelius worked as a machinist in the factory.
Cornelius was arrested and detained in jail for several house in 1932 while participating in a GWU strike. After she was released from jail, she spoke to the workers and encouraged them to "demand a living wage and freedom." Her speech also referenced the Great Trek and the Anglo Boer War, joining "nationalism together with the class struggle rather than with the national struggle."
She went to the Soviet Union as part of a workers' delegation sponsored by the South African Communist Party (SACP) in 1933. Her trip there helped her learn more about communism and social equality, as well as exposing her to new experiences and political ideologies. When she returned from the Soviet Union, she became a full-time union organizer for GWU, working from the main office in Germiston.
Cornelius worked as the GWU president from 1935 to 1937 and under her leadership, the union won reduced working hours and increased wages for workers. She and Hester also travelled to Cape Town in February 1936 help the GWU branch there.
Cornelius worked to include people of all backgrounds in the union and felt that working in the union had helped her "transcend the racial attitudes" of her past. She later reflected that "it took me years to get used to the notion that even the English – let alone the natives were human beings."
Cornelius was accused in 1938 of being a "communist accomplice of Sachs and for spending all her time organising black people." She defended her socialism as the logical outcome of Afrikaner resistance to the "imperialist yoke," and was able to successfully fight off attempts by Afrikaner nationalists who wanted to take control of the union.
She became a founder of the National Union of Cigarette and Tobacco Workers in 1938, later leading a two-week strike in Rustenburg in September 1940. The strike in Rustenberg was "heated" and women in the strike faced tear gas and police attacks. In 1943 she ran unsuccessfully as an Independent Labor Party candidate.
Under the Suppression of Communism Act (1950) Cornelius and Sachs were listed as communists. When Sachs was exiled from South Africa in 1952, she took over the GWU and worked that position until her death.
Cornelius died on 21 June 1974 in Johannesburg.
# Marc Enoumba

Marc François Enoumba (born 4 March 1993) is a professional footballer who plays as a centre-back for Blooming. Born in Cameroon, he represents the Bolivia national team.

## International career

Having lived in Bolivia for over 5 years, Enoumba is eligible to play for the Bolivia national team. He made his debut on 2 September 2021 in a World Cup qualifier against Colombia, a 1–1 home draw. He substituted Diego Bejarano at half-time.

### International goals

| No. | Date | Venue | Opponent | Score | Result | Competition |
| 1 | 1 February 2022 | Estadio Hernando Siles, La Paz, Bolivia | Chile | 1–1 | 2–3 | 2022 FIFA World Cup qualification |
# Grupo Empresarial Antioqueño

The Grupo Empresarial Antioqueño (GEA, Business Group of Antioquia) also known as Sindicato Antioqueño, is a Colombian conglomerate composed by around 125 companies, most of them based in Antioquia Department.
Though, legally speaking, such an entity does not exist, it is commonly regarded as the first Colombian keiretsu. It is "controlled" by four main companies: Bancolombia (banking), Grupo Argos (cement, power & infrastructure), Grupo Sura (insurance, financial), and Grupo Nutresa (processed food). The group, through these companies, has 10,000 shareholders. GEA's 2007 income amounts to 5.5% of Colombia's gross domestic product.
On January 15, 2023, the Financial Times reported: 'Regulators are investigating whether the GEA is acting as an “economic group”.'

## Companies

* Bancolombia
* Inversiones Nutresa
   * Nutresa
   * Compañía Nacional de Chocolates
   * Compañía Nacional De Chocolates de Perú S.A.
   * Compañía de Galletas Noel
   * Compañía de Galletas Pozuelo D.C.R.
   * Industrias de Alimentos Zenú
   * Dulces de Colombia
   * Colcafé
   * Meals de Colombia
   * Pastas Doria
   * Rica Rondo
   * Frigorífico Suizo
   * La Bastilla
   * Hermo de Venezuela
   * Frigorífico Continental
   * Tecniagro
   * Comarrico
* Fabricato
* Inversiones Argos
** Cementos Argos
** Cementos Colón
** Corp. Incem
** Port Royal
** CINA
** Savannah Cement
** Southern Star Concrete, Inc.
** Concrete Express
** Ready Mixed Concrete
** Celsia
* Grupo Sura
** Seguros SURA formerly Compañía Suramericana de Seguros
** Compañía Suramericana de Seguros de Vida
** Interoceánica de Seguros
** EPS SURA formerly Susalud
** ARP SURA formerly Suratep
** Seriauto
** Administradora de Fondos de Inversión Suramericana
** Gerencia Prestación servicios de Salud
** IPS Punto de Salud, IPS Punto de Vista, AVANCE, Salud en Casa
** Compañía Suramericana de Capitalización
** Centro para los Trabajadores CPT
** Interoceanica de seguros
** Tipiel S.A.
* Internacional Ejecutiva de Aviación

### Former subsidiaries

* Almacenes Éxito
# Cecilia Espenilla

Maria Cecilia Alcantara Espenilla, OP (born December 3, 1960) is a Filipino Roman Catholic religious sister, human rights activist and the current Prioress General of the Dominican Sisters of Saint Catherine of Siena. From 2017 to 2020, she worked as the International Promoter of Justice, Peace and Integrity of Creation (JPIC) of the Dominican Sisters International Confederation.

## Biography

Espenilla was born in Masbate, Philippines to a devout Catholic household. Her father was a government official and her mother was a school teacher. She was the seventh of eight children in the family: 5 boys and 3 girls. The second eldest became a diocesan priest.
In 1975, before entering religious life in the Dominican Sisters of Saint Catherine of Siena, Espenilla worked in the First United Bank in Manila. After her formation, she was assigned in various roles and responsibilities as Religion and Values Education teacher, School Treasurer, Principal and President of the College. She obtained her bachelor's degree in accountancy at the University of Santo Tomas and earned a degree in theological studies from Ateneo de Manila University.
In 2013 and 2014, Espenilla attended the sessions of the Commission on the Status of Women (CSW57 and CSW58) at the United Nations Headquarters in New York City representing Dominican Sisters International (DSI) Coordinator for Asia-Pacific. In 2016, she was accepted as one of the 8 Fellows of the Center for Women of Faith and Leadership (CWFL) at the Institute for Global Engagement (IGE) in Washington, D.C.. She was invited as one of the main speakers to the 26th session of the Commission on Crime Prevention and Criminal Justice (CCPCJ) at the United Nations in Vienna, where she presented the topic "Human Trafficking: How Demand Creates Supply". Also in 2016, she was elected as the main animator of Talitha Kumi Philippines, an organization of consecrated religious that aims to counter human trafficking and abuses.
From September 2017 until October 2020, Espenilla was appointed as the International Promoter of Justice, Peace, and Integrity of Creation for the Dominican Sisters International (DSI). During her tenure, she advocated efforts and focus on ending human trafficking, encouraging religious communities around the world in getting involved in justice initiatives on an international and national level.
Since October 2020, Espenilla took the leading role in Arise Philippines, a pioneer of the local and international anti-trafficking movement. In July 2022, she was elected, together with the Claretian priest Elias Ayuban Jr., as co-chairperson of the Conference of Major Superiors of the Philippines (CMSP).
# Christine Steel

Christine Steel is an American actress, known for her role of Jenny Andrews on the TV series Team Knight Rider as well as the Tiberium Mutant Umagon in Command & Conquer: Tiberian Sun.

## Early life

Steel was born in Riverside, New Jersey, and spent the majority of her life in San Francisco. Steel's ancestry is combined Asian, Native American, Latino, and Italian.

## Career

She began acting at age 15 where she performed the role of Anita in her community theater's production of West Side Story. She attended UCLA, where she graduated cum laude in theater arts. Her other television credits include The District and 18 Wheels of Justice. Her film credits include roles in The Last Late Night and Even Steven. Steel also appears in the CD-ROM games Command & Conquer: Tiberian Sun and Riven: The Sequel to Myst.

## Filmography

| Year | Title | Role | Notes |
| 2002 | The District | Arlene Gomez | Episode: "Explicit Activities" |
| 2002 | Even Steven | Unknown | Film |
| 2000 | Big Wind on Campus | Andre'a Parker | Film |
| 2000 | Coverage | Jordan | Short film |
| 2000 | 18 Wheels of Justice | Angel | Episode: "Games of Chance" |
| 1999 | The Last Late Night | Kate | Film |
| 1999 | Command & Conquer: Tiberian Sun | Umagon | Video game |
| 1997–98 | Team Knight Rider | Jenny Andrews | Main star, 22 episodes |
| 1997 | Riven: The Sequel to Myst | Nelah | Video game |
# A Woman (Qveen Herby album)

A Woman is the debut studio album of American rapper and singer Qveen Herby, which was released on May 21, 2021, by Checkbook Records.

## Background

After finishing her forty-five-track EP phase that ran for three years since 2017 beginning with EP 1 and ending with EP 9 in 2020, Herby started working on her first full studio album around October 2020. One of Herby's songs, Gucci Vision, was featured in the season 10 premiere of VH1's hit reality show Love & Hip Hop: Atlanta.

## Writing and recording

The writing and recording process of the album was completed by the end of February 2021, her and her team moved on to the visual part of the album soon after. She finally announced the album title and release date on April 27, 2021.

## Release
### Singles

"Juice" was released on April 13, 2021, as the album's lead single and a music video was released on April 16, 2021.
"Naughty Girl" was announced with the album's pre-order on April 27, 2021. The song was released as the second single along with the album on May 21, 2021, and with a music video.

## Track listing

All tracks are written by Qveen Herby, Nick Noonan and Steve Tirogene, and produced by the latter two, except where noted

## Personnel

Credits adapted from the album's liner notes of A Woman.

### Musicians

* Qveen Herby – vocals, background vocals, rap, writer (all tracks)
* Pompano Puff – record producer, co-writer (track 5)
* Nick Noonan – record producer, co-writer (track 5)
* Patrick John Kesack – co-writer (track 9)

## Release history

release dates and formats for A Woman :
| Region | Date | Format(s) | Label | Ref. |
| Various | May 21, 2021 | CDstreamingdigital download | Checkbook | |
| Various | January 26, 2022 | vinyl | Checkbook | |
# Wax Idols

Wax Idols was an American post-punk band from Oakland, California.

## History

Wax Idols was formed in 2011 in Oakland by lead singer and principal songwriter Hether Fortune. She has played in several Bay Area bands and was bassist for the band White Lung.
The band released their first album 'No Future' in 2011. Fortune wrote and sang most of the songs on the album and also played guitar, drums, and piano.
In 2013, the band released their album 'Discipline & Desire' Mark Burgess of The Chameleons co-produced and played bass on the last track "Stay In." Spin magazine called it "a master class in seething, moody songwriting."
The band released their third album 'American Tragic' in 2015. Fortune wrote and recorded the entire album aside from Rachel Travers on drums.
The band released their fourth and final album, 'Happy Ending' in 2018.
On August 27, 2018, the band announced an indefinite hiatus. Hether Fortune announced in a Facebook post that the remainder of the 2018 tour had been canceled "due to personal reasons."

## Discography
### Studio albums

* No Future (2011, Hozac Records)
* Discipline And Desire (2013, Slumberland Records)
* American Tragic (2015, Etruscan Gold Records)
* Happy Ending (2018, Etruscan Gold Records)

### Other Releases

* All Too Human / William Says 7" (2011, HoZac Records)
* Schadenfreude 7" (2012, Suicide Squeeze)
# Feds (TV series)

Feds is an American legal drama television series that aired on CBS from March 5, 1997 to April 9, 1997. It was created by Dick Wolf, and starred Blair Brown and Dylan Baker. Michael S. Chernuchin was also an executive producer for the project. The series is notable for being the first to air in letterboxed 16:9 in the United States.

## Cast

* Blair Brown as Erica Stanton
* Regina Taylor as Sandra Broome
* John Slattery as Michael Mancini
* Adrian Pasdar as C. Oliver Resor
* Grace Phillips as Jessica Graham
* Dylan Baker as Jack Gaffney
* George DiCenzo as Tony Garufi

## Episodes

| Nº | Title | Directed by | Written by | Original air date |
| 1 | "Crash & Burn" | John David Coles | Story by : Michael S. Chernuchin & Gallatin Warfield Teleplay by : Dick Wolf & Michael S. Chernuchin | March 5, 1997 (1997-3-5) |
| 2 | "Do No Harm" | Colin Bucksey | Larry Moskowitz | March 12, 1997 (1997-3-12) |
| 3 | "The War Against Crime" | Ed Sherin | Dick Wolf & Michael S. Chernuchin | March 19, 1997 (1997-3-19) |
| 4 | "Missing Pieces" | Michael Katleman | Bonnie Mark | March 26, 1997 (1997-3-26) |
| 5 | "Somebody's Lyin'" | James Quinn | Bonnie Mark & Gardner Stern | April 2, 1997 (1997-4-2) |
| 6 | "Smoking Gun" | Unknown | Bonnie Mark & Gardner Stern | April 9, 1997 (1997-4-9) |
# Finland women's national under-16 basketball team

The Finland women's national under-16 and under-17 basketball team is a national women's basketball team of Finland, administered by the Basketball Finland. It represents the country in women's international under-16 and under-17 basketball competitions.
Finnish women's U16 team is the first and only Nordic country who had advanced to qualify for the FIBA U17 Women's World Cup which was held in 2024 in Mexico.

## Results
### FIBA U17 Women's World Cup participations

| Year | Result |
| 2010 | Did not qualify |
| 2012 | Did not qualify |
| 2014 | Did not qualify |
| 2016 | Did not qualify |
| 2018 | Did not qualify |
| 2022 | Did not qualify |
| 2024 | 8th |
| 2026 | TBD |

### FIBA U16 Women's EuroBasket participations

| Year | Division A | Division B |
| 1976 | 12th | - |
| 1978 | 8th | - |
| 1982 | 5th | - |
| 1985 | 12th | - |
| 1987 | 8th | - |
| 1993 | 10th | - |
| / 2004 | - | 15th/16th |
| 2005 | - | 12th |
| 2006 | - | 9th |
| 2007 | - | 5th |
| 2008 | - | |
| 2009 | 9th | - |
| 2010 | 12th | - |
| Year | Division A | Division B |
| 2011 | 16th | - |
| 2012 | - | 8th |
| 2013 | - | 4th |
| 2014 | - | 6th |
| 2015 | - | 10th |
| 2016 | - | 7th |
| 2017 | - | 5th |
| 2018 | - | |
| 2019 | 10th | - |
| 2022 | 13th | - |
| 2023 | 4th | - |
| 2024 | | - |
| 2025 | Qualified | - |
# Sarah Abramowitz

Sarah Knapp Abramowitz (born 1967) is an American statistician specializing in statistics education and known for her textbooks on the use of statistical software packages. She is the John H. Evans Professor of Mathematics and Computer Science at Drew University, where she chairs the Mathematics & Computer Science Department.

## Education and career

Abramowitz majored in mathematics at Cornell University, graduating in 1989, and earned a master's degree in mathematics in 1992 from Stony Brook University. She switched to mathematics education for her doctoral studies, completing her Ph.D. in 1999 at New York University. Her dissertation was A computer-enhanced course in descriptive statistics at the college level: An analysis of student achievement and attitudes, and was supervised by Sharon L. Weinberg.
While still a graduate student, she worked as an adjunct assistant professor of mathematics at St. Francis College. She joined the Drew University faculty as an assistant professor in 1998, was tenured as an associate professor in 2004, and was promoted to full professor in 2011. She was named Evans Professor in 2021. At Drew, she has also served as the faculty representative to the NCAA for Drew's athletics program.

## Books

With her doctoral advisor, Sharon L. Weinberg, Abramowitz is the co-author of a series of textbooks on statistical software packages:
* Data Analysis for the Behavioral Sciences Using SPSS (2002)
* Statistics Using SPSS: An Integrative Approach (2nd ed., 2008)
* Statistics Using IBM SPSS: An Integrative Approach (3rd ed., 2016)
* Statistics Using Stata: An Integrative Approach (2016)
* Statistics Using R: An Integrative Approach (also with Daphna Harel, 2020)
# Hummeltal

Hummeltal is a municipality in the district of Bayreuth in Bavaria in Germany.
# All the Best

All the Best may refer to:

## Film

* All the Best: Fun Begins, a 2009 Bollywood comedy film
* All the Best (film), a 2012 Telugu-language film directed by J. D. Chakravarthy
* All the Best Pandya, a 2025 Gujarati-language drama film

## Literature

* All the Best (book), a 1999 book by George H. W. Bush
* All the Best, a play by Feroz Abbas Khan
* "All the Best", can be used as 'Adb' and 'Atb' in slang.

## Music
### Albums

* All the Best (EMI compilation album series), a series of compilation albums, 2012
* All the Best (Glen Campbell album), 2003
* All the Best (John Paul Young album), 1977
* All the Best (John Williamson album), 1986
* All the Best (Leo Sayer album), 1993
* All the Best!, by Paul McCartney, 1987
* All the Best (Stiff Little Fingers album), 1983
* All the Best (Tina Turner album), 2004
** All the Best – The Live Collection, a DVD by Tina Turner, 2005
* All the Best (Zucchero album), 2007
* All the Best, by Chemistry, 2006
* All the Best, by Cookies, 2003
* All the Best, by Jean-Pierre Danel, 2002
* All the Best, by Joe Pizzulo, 2005
* All the Best, by Tiffany Darwish, 1996
* All the Best! 1999–2009, by Arashi, 2009
* All the Best from Prism, by Prism, 1980
* Sinatra 80th: All the Best, by Frank Sinatra, 1995

### Songs

* "All the Best", by John Prine from The Missing Years, 1991
* "All the Best", by R.E.M. from Collapse into Now, 2011
# Skroutz

Skroutz is a Greek online marketplace, originally founded as a price comparison website in 2005 by George Chatzigeorgiou, George Avgoustidis, and Vasilis Dimos. Chatzigeorgiou serves as president and CEO of the company, Avgoustidis as vice president, and Dimos as a board member. Its headquarters are located in Nea Ionia. The name "Skroutz" is inspired by Scrooge McDuck, a Disney character known for his reluctance to spend large amounts of money.
As of February 2025, according to Similarweb, Skroutz was the most-visited online marketplace in Greece and overall the sixth-most-visited website in the country. It started shipping to other member states of the eurozone in 2023, followed within the same year by countries outside of the monetary union such as Bulgaria, the Czech Republic, Hungary, Poland, Romania, and Sweden.
# Nyakim Gatwech

Nyakim Gatwech (born January 27, 1993) is an Ethiopian-American model of South Sudanese descent. She has attracted attention for her dark skin color and has achieved significant popularity on Instagram.

## Biography

Nyakim Gatwech's parents lived in Maiwut, South Sudan, before they fled due to the Second Sudanese Civil War to Gambela, Ethiopia, where Gatwech was born. From there, they migrated to Kenya where they lived in refugee camps until they migrated to the US when Gatwech was 14 years old. Originally settling in Buffalo, New York, Gatwech later moved to Minneapolis, Minnesota. Although she has never been to South Sudan, Gatwech considers herself to be South Sudanese. She considered a modeling career after taking part in a fashion show at St. Cloud State University. She has appeared in promotional posters for the 2017 film Jigsaw.

## Social media

Gatwech is known for her naturally dark skin color and has been nicknamed the Queen of the Dark. Gatwech has faced self-esteem issues and comments from people who promote bleaching to lighten skin color. She has over 985,000 followers on Instagram.