OpenLLM-France/wikimedia huggingface dataset:
# Big O in probability notation

The order in probability notation is used in probability theory and statistical theory in direct parallel to the big O notation that is standard in mathematics. Where the big O notation deals with the convergence of sequences or sets of ordinary numbers, the order in probability notation deals with convergence of sets of random variables, where convergence is in the sense of convergence in probability.

## Definitions
### Small o: convergence in probability

For a set of random variables X$_n$ and corresponding set of constants a$_n$ (both indexed by n, which need not be discrete), the notation
    $X_{n}=o_{p}(a_{n})$
means that the set of values X$_n$/a$_n$ converges to zero in probability as n approaches an appropriate limit. Equivalently, X$_n$ = o$_p$(a$_n$) can be written as X$_n$/a$_n$ = o$_p$(1), i.e.
    $\lim _{n\to \infty }P\left[\left|{\frac {X_{n}}{a_{n}}}\right|\geq \varepsilon \right]=0,$
for every positive ε.

### Big O: stochastic boundedness

The notation
    $X_{n}=O_{p}(a_{n}){\text{ as }}n\to \infty$
means that the set of values X$_n$/a$_n$ is stochastically bounded. That is, for any ε > 0, there exists a finite M > 0 and a finite N > 0 such that
    $P\left(|{\frac {X_{n}}{a_{n}}}|>M\right)<\varepsilon ,\;\forall \;n>N.$

### Comparison of the two definitions

The difference between the definitions is subtle. If one uses the definition of the limit, one gets:
* Big $O_{p}(1)$: $\forall \varepsilon \quad \exists N_{\varepsilon },\delta _{\varepsilon }\quad {\text{ such that }}P(|X_{n}|\geq \delta _{\varepsilon })\leq \varepsilon \quad \forall n>N_{\varepsilon }$
* Small $o_{p}(1)$: $\forall \varepsilon ,\delta \quad \exists N_{\varepsilon ,\delta }\quad {\text{ such that }}P(|X_{n}|\geq \delta )\leq \varepsilon \quad \forall n>N_{\varepsilon ,\delta }$
The difference lies in the $\delta$: for stochastic boundedness, it suffices that there exists one (arbitrary large) $\delta$ to satisfy the inequality, and $\delta$ is allowed to be dependent on $\varepsilon$ (hence the $\delta _{\varepsilon }$). On the other hand, for convergence, the statement has to hold not only for one, but for any (arbitrary small) $\delta$. In a sense, this means that the sequence must be bounded, with a bound that gets smaller as the sample size increases.
This suggests that if a sequence is $o_{p}(1)$, then it is $O_{p}(1)$, i.e. convergence in probability implies stochastic boundedness. But the reverse does not hold.

## Example

If $(X_{n})$ is a stochastic sequence such that each element has finite variance, then
    $X_{n}-E(X_{n})=O_{p}\left({\sqrt {\operatorname {var} (X_{n})}}\right)$
(see Theorem 14.4-1 in Bishop et al.)
If, moreover, $a_{n}^{-2}\operatorname {var} (X_{n})=\operatorname {var} (a_{n}^{-1}X_{n})$ is a null sequence for a sequence $(a_{n})$ of real numbers, then $a_{n}^{-1}(X_{n}-E(X_{n}))$ converges to zero in probability by Chebyshev's inequality, so
    $X_{n}-E(X_{n})=o_{p}(a_{n}).$
# Volga-Kama Commercial Bank

The Volga-Kama Commercial Bank (sometimes Volzhsko-Kamsky Commercial Bank, Russian: Во́лжско-Ка́мский коммерческий банк), often referred to simply as the Volga-Kama Bank, was a major commercial bank of the Russian Empire. Founded in 1870, it was Russia's largest private-sector bank by total assets at the start of the 20th century.$^{:43}$ In late 1917 following the Russian Revolution, like all other commercial banks in Russia, it was absorbed into the State Bank with no compensation to its shareholders. Its name refers to the rivers Volga and Kama.

## Overview

The bank's charter was approved by Alexander II on 24 February 1870, establishing as a joint-stock company with an initial authorized capital of 6 million rubles. The founders were a group of manufacturers and merchants led by Vasily Kokorev, who became its chairman in 1878.
From 1879 to 1917, the bank was near-continuously led by Alexander F. Mukhin [ru], successively as director, member of the board, and eventually chairman, with only a six-year gap in 1906–1912. From 1907 to 1911 the managing director of the bank was Pyotr Bark, who later became Russian Minister of Finance.
By 1899, the Volga-Kama Bank had branches in Astrakhan, Baku, Kazan, Kharkiv, Kyiv, Moscow, Nizhny Novgorod, Orenburg, Perm, Rostov-on-Don, Rybinsk, Samara, Saratov, Simbirsk (later Ulyanovsk), Suzdal, Tashkent, Tsaritsin (later Volgograd), Ufa, Vyatka (later Kirov), and Yekaterinburg. By 1914, it had a network of 60 branches in the Empire, the majority in the Volga Region and the Urals. By then, its place among Russian commercial banks had declined to sixth rank.
* Former branch building in Moscow, Ilyinka 8
* Former branch building in Kyiv, Khreshchatyk 10
* Former branch building in Kazan
* Former branch building in Kharkiv, Constitution Square 24
* Former branch building in Rostov-on-Don
# Hovedstadens Sygehusfællesskab

Hovedstadens Sygehusfællesskab (H:S) was a Danish health trust which was founded on 1 January 1995 to run health care services in Copenhagen and Frederiksberg. There were five hospitals under its command.
After the structural reform, Hovedstadens Sygehusfællesskab was closed down, and from 2006, its responsibilities were passed to Region Hovedstaden.
# Banca Leonardo

Banca Leonardo is an Italian independent investment bank based in Milan. It operates through its own brand and through its subsidiaries with a focus on the wealth management business in Italy.

## History

Banca Leonardo S.p.A. was founded in Milan in October 1999.
In April 2006, a group of leading European investors acquired and recapitalised Banca Leonardo with the purpose of creating the first private and independent investment bank in Italy and becoming the market leader through consulting services, a long-term individual approach, value-added services, professionalism, and expertise.
In July 2007, Banca Leonardo acquired a stake in Toulouse & Associés, a French investment bank led by Jean-Baptiste Toulouse and Jean Peyrelevade. It then acquired the rest of the shares it did not own in Toulouse & Associés in September 2008.
In October 2015, the group sold its investment bank activities in Belgium, Germany, Italy and Spain to Houlihan Lokey. While offices in Belgium, Germany and Spain now operate under the Houlihan Lokey brand, the Italian office has retained the Leonardo & Co. brand. In May 2015, the group sold its investment banking activities in France to Natixis.
In December 2016, the group sold its French private banking activities to UBS France.
In May 2018, 94.1% of the shareholding of Banca Leonardo was acquired by Indosuez Wealth Management, a subsidiary of Groupe Crédit Agricole.
As of today, thanks to several key investments and financial transactions aimed at strengthening its core business, Banca Leonardo operates in the Wealth Management business, in Italy.

## Main Shareholders

* Indosuez Wealth Management (Groupe Crédit Agricole): 99.8%
# Say It Again (Jermaine Stewart album)

Professional ratings :
| Review scores ||
| Source | Rating |
| Number One | |
| Record Mirror | |
Say It Again is the third album by American R&B singer Jermaine Stewart. It was released in 1988 on Arista Records; his second full-length album for the label, and his final album to be released in North America. The title track of the album reached No. 27 on the US Billboard Hot 100.

## Background

Stewart told Record Mirror in 1988, "The album is definitely a progression. Vocally I've grown up and I was able to project a lot of the feeling and truth contained in the songs."

## Track listing

Outtakes:
* "You Promise", B-side on the "Say It Again" single
* "Imagine", B-side on the "Get Lucky" single and later included on the compilation album Attention: A Tribute to Jermaine Stewart
* "Places", B-side on the "Don't Talk Dirty to Me" single and later included on Attention
* "Search", B-side on the "Is It Really Love" single and later included on Attention; also released as "Search for Love" on the B-side of the single "Hot & Cold"
* "Attention", included on the album Attention

## Personnel

Musicians
* Jermaine Stewart – lead and backing vocals
* André Cymone – all instruments
* Jerry Knight – all instruments, backing vocals
* Aaron Zigman – all instruments
* Greg Porter – guitar solo on track 5
* Marty Walsh – guitar solo on track 8
* Jerry Hey – horn section on tracks 2 & 11
* Bill Reichenbach – horn section on tracks 2 & 11
* Kim Hutchcroft – horn section on tracks 2 & 11
* Larry Williams – sax solo on track 11
* Michael Lacata – drum fills on track 8
* Paulinho da Costa – percussion on track 10
* Marva King – backing vocals
* Muffy Hendrix – backing vocals
* Angel Rogers – backing vocals
* Jody Watley – backing vocals
* Wanda Hutchinson-Vaughn – backing vocals
* Pam Hutchinson – backing vocals
* James Ingram – backing vocals
* Josie James – backing vocals
* Deneice Williams – backing vocals
* Jackie James – backing vocals on tracks 3 & 9
Production
* Bobby Brooks – engineer
* Coke Johnson – engineer
* Ta Avi Mote – engineer
* Victor Flores – engineer
* Keith Cohen – engineer
* Mick Guzauski – engineer
* Gary Wagner – engineer
* Csaba Petocz – engineer
* Jared Held – assistant engineer
* Jimmy Preziosi – assistant engineer
* Jeff Lorenzen – assistant engineer
* Elmer Flores – assistant engineer
* John Arrias – additional engineer
* Jamie Yvette Snyder-Newman – production coordinator (André Cymone)
* Clive Davis – executive producer
Note
* In the booklet, engineer "Jarod Held" is credited as "Jared Held", vocalist "Deniece Williams" as "Denise Williams" and vocalist "Wanda Vaughn" as "Wanda Hutchinson-Vaughn".

## Charts

| Chart (1988) | Peak position |
| UK Albums Chart | 32 |
| US Billboard 200 | 98 |
| US Billboard R&B/Hip-Hop Albums Chart | 45 |
# Silvia Alessandri

Silvia Alessandri Montes (20 May 1927 – 30 June 2021) was a Chilean politician. She served as a deputy for Santiago between 1969 and 1973 representing the National Party.

## Early life

Alessandri was the daughter of Hernán Alessandri Rodríguez and Sofía Montes Sutil; she was also the niece of former president Jorge Alessandri and the granddaughter of Arturo Alessandri. She completed her secondary studies at the Colegio del Sagrado Corazón. Later, she took nursing courses at the Chilean Red Cross.

## Political career

Alessandri started her political activities in the National Party. She was elected deputy for the 7th departmental constituency of Santiago, for the period 1969-1973. She was a member of the Permanent Commission of Public Health, the National Defense Commission, the Mining Commission, that of the Treasury, that of Foreign Relations, that of Work and Social Security and that of Housing and Urbanism. She was a member of the Special Investigative Commission on Complaints Against the National Health Service (SNS) between 1971 and 1972. Alessandri was a member of the Parliamentary Committee of the National Party between 1972 and 1973. In December 1971, she obtained permission from the authorities to carry out the march of the empty saucepans, which led to the emergence of the civic movement called Female Power.

## Personal life and death

Alessandri married Hernán Calvo Salas and they had five children. She died in Santiago on 30 June 2021.
# Gowjar

Gowjar or Gujar (Persian: گوجر) may refer to the following places in Iran:
* Gowjar, Kerman
* Gowjar, West Azerbaijan
# Nextiva

Nextiva is a customer experience management (CXM) company based in Scottsdale, Arizona. Nextiva focuses on the area of cloud-based communication Nextiva indicates its telephone and other technology services are currently used by 150,000 businesses.

## History

Nextiva was founded in 2006. Six years later, Nextiva had approximately one hundred and twenty workers. In 2014 Nextiva's growth rate, according to Deloitte, was estimated to be 1548%. By June 2016, Nextiva's revenue was close to $100 million. In January, 2017 they had sales of $110 million and a staff of 700. As of 2020, Nextiva had a revenue of $200 million.
During the end of year 2022 the company experience a large reduction in force resulting in a loss of 14% of there work force. Some of these employees had just started at the company after leaving long tenures at other companies.

## Product line

Nextiva produces a unified communication platform called NextOS. The access to the platform is provided by subscription. NextOS is available as the desktop application in WindowsOS and MacOS, as well as mobile application for Android and iOS.
NextOS renders the services of cloud-based communication, CRM, videoconferencing, mail service, analytics, screen sharing, AI and machine learning. The platform integrates with Outlook, Google Cloud products, QuickBooks, DropBox and ZenDesk.
# Mesmerized

Mesmerized or Mesmerised may refer to:

## Film and television

* Mesmerized (film), a 1986 American film by Michael Laughlin
* Mesmerised (TV series), a 2015 Australian television series

## Music

* Mesmerized (Extol album), 1999
* Mesmerized (Meredith Andrews album), 2005
* Mesmerized (EP), by Seirom, 2015
* Mesmerised, an album by Atrox, 1997
* "Mesmerized" (song), by Faith Evans, 2005
* "Mesmerized", a song by Mariah Carey from The Rarities, 2020
* "Mesmerized", a song by Pop Will Eat Itself from The Poppies Say GRRrrr!, 1986
# Hang Yin (scientist)

Hang Hubert Yin (born 5 July 1976) is a professor and deputy dean of pharmaceutical sciences at Tsinghua University, a recipient of several young scientist awards for his research in chemical biology and drug discovery.

## Career

Hang Hubert Yin was a pupil at the High School of Peking University. After studying for a bachelor's degree at the Peking University, he received his PhD from Yale University, New Haven in 2004 and then spent a post-doctoral period at the University of Pennsylvania School of Medicine under the supervision of Professor William DeGrado. In 2007, he joined the faculty of the University of Colorado Boulder. His research interests lie at the interface of chemistry, biology, and engineering with particular focuses on structure-based drug design, cell signaling biochemistry, biotechnology development, and membrane protein simulations.

## Awards

* American Chemical Society David W. Robertson Award for Excellence in Medicinal Chemistry (2016)
* CAPA Distinguished Junior Faculty Award (2012)
* Stand Up to Cancer Innovative Research Grant Award (2010)
* National Science Foundation CAREER Award (2010)
* American Association for Cancer Research Gertrude B. Elion Cancer Research Award (2009)
* University of Colorado New Inventor of the Year (2009)
* National Institute on Drug Abuse ECHEM Award (2009)
* National Institute on Drug Abuse CEBRA Award (2009)
* Sidney Kimmel Scholars Award (2008)
* Howard Hughes Medical Institute Collaborative Innovation Award (2008)

## Significant contributions

Yin's team showed that morphine causes inflammation by binding to the protein lymphocyte antigen 96, which, in turn, causes the protein to bind to an immune system receptor called Toll-like receptor 4 (TLR4). The morphine-induced TLR4 activation attenuates pain suppression by opioid and enhances the development of opioid tolerance and addiction, drug abuse, and other negative side effects such as respiratory depression. The Yin group has developed drug candidates that can improve opioid-based pain management therapies. On June 23, 2014, BioLineRx Ltd. (NASDAQ: BLRX; TASE: BLRX) announced that it has in-licensed BL-1010, a novel compound for the treatment of neuropathic pain invented by Yin from the University of Colorado. In 2015, Yin reported a new drug candidate that could change the way Parkinson's disease is treated. The drug, called CU-CPT22, may help stop harmful inflammation in certain immune cells that is thought to cause Parkinson's.
# Davit Sujashvili

Davit Sujashvili (Georgian: დავით სუჯაშვილი; born June 15, 1976) is the current Head of the Georgian Intelligence Service since December 2013. Married, has three children. Military rank: Colonel. Awards: 1st Dan Black Belt in Kyokushin karate. Speaks Georgian, English, Russian and Turkish.

## Education

In 1999 Davit Sujashvili graduated with honors the Academy of the Ministry of State Security of Georgia.

## Career

Sujashvili started his career at the Georgian Foreign Intelligence Service in November 1999. From November 2012 to December 2013 he was the Head of Department of Information and Analysis of the Ministry of Internal Affairs of Georgia. In December 2013 he was appointed to the position of the Head of Georgian Intelligence Service.
# Geoffrey Demeyere

Geoffrey Demeyere (born 31 October 1976 in Roeselare) is a Belgian former road cyclist, who competed as a professional from 2000 to 2004.

## Major results
### 1998

    2nd Overall Triptyque des Monts et Châteaux
    2nd Paris–Roubaix Espoirs
    3rd Grand Prix de Waregem

### 1999

    1st Overall Tour de la province de Namur [fr]
       1st Stage 2
    3rd Internatie Reningelst [fr]

### 2001

    5th Grand Prix d'Isbergues

### 2002

    1st Stage 2 Circuito Montañes
    2nd Druivenkoers-Overijse

### 2003

    7th Rund um die Hainleite-Erfurt
    10th Overall Deutschland Tour

### 2004

    1st Schaal Sels
    2nd Druivenkoers-Overijse

### 2005

    2nd Overall Tweedaagse van de Gaverstreek [fr]
       1st Stage 3

### 2006

    1st Grand Prix Etienne De Wilde [fr]
    1st Stage 3 Tour de Liège

### 2007

    3rd Overall Tour de la province de Namur [fr]

### 2008

    3rd Internatie Reningelst [fr]
# Augustus Warren Baldwin

Augustus Warren Baldwin (October 1, 1776 – January 5, 1866) was a naval officer and political figure in Upper Canada.
He was born near Lisnagat in County Cork, Ireland in 1776 and joined the merchant navy in 1792, eventually being given command of his own ship. He retired to Upper Canada near York (Toronto) in 1817. He named his estate Russell Hill after his family's farm in Ireland. In 1822, he became a magistrate of the Home District. In 1832, he was appointed to the Legislative Council for the province. When the Executive Council resigned to protest actions taken by Lieutenant Governor Sir Francis Bond Head, Baldwin accepted an appointment as a new member of the council.
In 1841, he was re-appointed to the Legislative Council of the Province of Canada, but he resigned some time later. He was a director of the Bank of Upper Canada and the British America Assurance Company. Although retired from the navy, he was promoted to admiral in 1862.
Like his brother William Warren Baldwin and his nephew Robert Baldwin, Augustus was conservative in his politics, though his relatives were associated with the reform branch of conservatism.
He died on his estate near Toronto in 1866.
# Kanya Viljoen

Kanya Viljoen (born 29 September 1994), is a South African actress, playwright, director and writer. She is best known for the roles in the television serials Afgrond and Die Sentrum. She is also a director who directed the plays RAAK and Like Hamlet.

## Personal life

Viljoen was born on 29 September 1994 in South Africa. In 2017, she graduated with a B.A. (Hons) Degree in Theatre and Performance from the University of Cape Town (UCT). She later completed her MA in theatre-making from the same university.

## Career

During her life at UCT, she appeared in many student plays such as; Lied van die Boeings (2015), I Want to Live in Woolworths (2016), Lied van die Boeings, As You Like It, Murdering Agatha Christie (2016). For her final Masters project in 2017, she performed in the All of It, Everything, Now, Together directed by Francesco Nassimbeni. During the same period, she also started her music career, where she joined with the band "Huey Huey". She is also a founding member of the jazz band "Vivace Music".
In 2017, she wrote and directed the play RAAK, which debuted at the Free State Arts Festival. The play was later nominated as Best Production of the festival. Meanwhile, she won the South African Theatre Magazine's Best Emerging Director Award. Then in 2018, she directed the play Like Hamlet performed at the Theatre Arts Admin Collective. Then she wrote the script, Mank, where Kanya was awarded a writer's bursary for this script.
In 2021, she starred in the kykNET drama series Afgrond and played the role "Leora van Niekerk". In the meantime, she joined with the SABC2 telenovela Die Sentrum and played the role "Sanette". She also directed the short film The Moment of Dying. In 2021, she wrote and directed the romantic short, Ekstasis and the film Om teen treine te skre.

## Filmography

| Year | Film | Role | Genre |
| 2021 | Afgrond | Leora van Niekerk | TV series |
| 2021 | Die Sentrum | Sanette | TV series |
| 2021 | The Moment of Dying | Director | TV series |
| 2021 | Ekstasis | Director, writer | TV series |
# Gino Mattarelli

Gino Mattarelli (Bertinoro, 28 October 1921 – Florence, 25 October 1986) was an Italian politician, deputy of the Christian Democracy party. He was State Secretary for State Holdings from 30 June 1972 to 5 July 1973.
# Sumie

Sumie or Sumi-e or Sumi e or variation, may also refer to:

## People

Sumie is a feminine Japanese given name. Notable people with the name include:
* Sumie Awara (湶 純江, born 1952), Japanese long jumper
* Sumie Baba (born 1967), a Japanese voice actor
* Sumie Ishitaka, women's professional shogi player
* Sumie Mishima (1900–1992), Japanese writer, translator, educator
* Sumie Oinuma (born 1946), a Japanese volleyball player and Olympic medalist
* Sumie Sakai (born 1971), a Japanese professional wrestler and mixed martial artist
* Sumie Sakai (voice actress) (born 1945), a Japanese actress and voice actress

### Fictional characters

* Sumie Taira (平良 すみえ, Taira Sumie), a character from Kamen Rider Fourze

## Music

* "SUMIE" (song), a tune by Toshiko Akiyoshi off the 1976 album Insights (album)
* Sumie (Toshiko Akiyoshi Quartet album), a 1971 jazz quartet album by pianist Toshiko Akiyoshi, or the title track
* Sumi-e (Toshiko Akiyoshi – Lew Tabackin Big Band album), a 1979 jazz album by the Toshiko Akiyoshi - Lew Tabackin Big Band, or the title track

## Other uses

* Sumie, an East Asian type of ink and wash painting
* SUMIE, a navigational beacon for Port Columbus International Airport involved in the crash of United Express Flight 6291
# Jeju-do

Jeju-do (Korean: 제주도) can either refer to:
* Jeju Island (濟州島), the island in South Korea
* Jeju Province (濟州道), the province in South Korea that includes Jeju Island and other nearby islands
# Boughanmi

Boughanmi is a surname. Notable people with the surname include:
* Maroua Boughanmi (born 1992), Tunisian volleyball player
* Mohamed Boughanmi (born 1991), French rugby union player
* Ossama Boughanmi (born 1990), Tunisian footballer
* Oussama Boughanmi (born 1990), Tunisian handball player
# Mamongazeda

Ma-mong-a-ze-da (Ojibwe: Mamaangĕzide "[Have Very] Big Foot") was an 18th-century Ojibwa chief from Shagawamikong. He was a member of the Caribou doodem "Adik Reindeer Clan" and his ancestors came from Grand Portage on the north shore of Lake Superior. His father was his mother's second husband as she had been married to a chief of the Dakota people previously during a period of peace between the Ojibwa and Dakota. When war resumed the couple was obliged to divorce with the husband and children joining the Dakota and the wife marrying an Ojibwa man. In this way, Mamongazeda's older half-brother Wapasha became a chief of the Dakota while he became a chief of the Ojibwa. In addition to being an accomplished war leader, Mamongazeda was persuasive diplomat and strong ally of the French. During the French and Indian War, Mamongazeda raised a party of Lake Superior Ojibwa to fight with the French, and were part of Montcalm's army at the Battle of the Plains of Abraham. He lived to a very old age and was succeeded by his son, the famous chief and warrior, Waubojeeg.