OpenLLM-France/wikimedia huggingface dataset:
# Landau's function

In mathematics, Landau's function g(n), named after Edmund Landau, is defined for every natural number n to be the largest order of an element of the symmetric group S$_n$. Equivalently, g(n) is the largest least common multiple (lcm) of any partition of n, or the maximum number of times a permutation of n elements can be recursively applied to itself before it returns to its starting sequence.
For instance, 5 = 2 + 3 and lcm(2,3) = 6. No other partition of 5 yields a bigger lcm, so g(5) = 6. An element of order 6 in the group S$_5$ can be written in cycle notation as (1 2) (3 4 5). Note that the same argument applies to the number 6, that is, g(6) = 6. There are arbitrarily long sequences of consecutive numbers n, n + 1, ..., n + m on which the function g is constant.
The integer sequence g(0) = 1, g(1) = 1, g(2) = 2, g(3) = 3, g(4) = 4, g(5) = 6, g(6) = 6, g(7) = 12, g(8) = 15, ... (sequence A000793 in the OEIS) is named after Edmund Landau, who proved in 1902 that
    $\lim _{n\to \infty }{\frac {\ln(g(n))}{\sqrt {n\ln(n)}}}=1$
(where ln denotes the natural logarithm). Equivalently (using little-o notation), $g(n)=e^{(1+o(1)){\sqrt {n\ln n}}}$.
More precisely,
    $\ln g(n)={\sqrt {n\ln n}}\left(1+{\frac {\ln \ln n-1}{2\ln n}}-{\frac {(\ln \ln n)^{2}-6\ln \ln n+9}{8(\ln n)^{2}}}+O\left(\left({\frac {\ln \ln n}{\ln n}}\right)^{3}\right)\right).$
If $\pi (x)-\operatorname {Li} (x)=O(R(x))$, where $\pi$ denotes the prime counting function, $\operatorname {Li}$ the logarithmic integral function with inverse $\operatorname {Li} ^{-1}$, and we may take $R(x)=x\exp {\bigl-c(\ln x)^{3/5}(\ln \ln x)^{-1/5}{\bigr )}$ for some constant c > 0 by Ford, then
    $\ln g(n)={\sqrt {\operatorname {Li} ^{-1}(n)}}+O{\biglR({\sqrt {n\ln n}})\ln n{\bigr )}.$
The statement that
    $\ln g(n)<{\sqrt {\mathrm {Li} ^{-1}(n)}}$
for all sufficiently large n is equivalent to the Riemann hypothesis.
It can be shown that
    $g(n)\leq e^{n/e}$
with the only equality between the functions at n = 0, and indeed
    $g(n)\leq \exp \left(1.05314{\sqrt {n\ln n}}\right).$
# Molalan, Lerik

Molalan (also, Mulalan) is a village and municipality in the Lerik Rayon of Azerbaijan. It has a population of 1,035.
# Willy Harlander

Willy Harlander (1931–2000) was a German film and television actor. A regular on West German television, he also appeared in several Bavarian sex comedies during the 1970s.

## Filmography

| Year | Title | Role | Notes |
| 1960 | My Schoolfriend | Briefträger, der Dr. Dorn seine Post bringt | Uncredited |
| 1961 | Der Hochtourist | Sepp Rainthaler | |
| 1961 | Les honneurs de la guerre | Hermann | |
| 1967 | A Degree of Murder | | Uncredited |
| 1967 | Kurzer Prozess | Polizeibeamter Janisch | |
| 1970 | Student of the Bedroom | Möbelpacker | Uncredited |
| 1970 | The Sex Nest | Josef | |
| 1971 | Schulmädchen-Reporr - part 2 | Taschner | Uncredited |
| 1972 | Don't Get Angry | Ratzig, Automechaniker | |
| 1973 | Schulmädchen-Report - part 5 | Werner Kessler | Uncredited |
| 1973 | Blue Blooms the Gentian | Gamsler | Uncredited |
| 1973 | Was Schulmädchen verschweigen | Wimmer - Postmeister | Uncredited |
| 1973 | Crazy – Completely Mad | Einbrecher | Uncredited |
| 1973 | Geh, zieh dein Dirndl aus | Florian | Uncredited |
| 1974 | Alpine Glow in Dirndlrock | Sepp Ploderer | |
| 1974 | Zwei Rebläuse auf dem Weg zur Loreley | Sepp Brunnhöfer | |
| 1974 | Stolen Heaven | Revierinspektor | |
| 1976 | Three Bavarians in Bangkok | Sepp Ploderer | |
| 1977 | Lady Dracula | Taxifahrer | Uncredited |
| 1977 | Three Swedes in Upper Bavaria | 1. Bayer | |
| 1977 | Die Jugendstreiche des Knaben Karl [de] | Wirt | |
| 1981 | Lili Marleen | Prosel | |
| 1982 | Piratensender Power Play | Richter | |
| 1982 | Meister Eder und sein Pumuckl | 'Schorsch' Bernbacher | |
| 1984 | Early Snow in Munich | Poldner | |
| 1985 | Die Einsteiger | Tankstellenpächter | |
| 1989 | Rosalie Goes Shopping | Rosalie's Father | |
| 1991 | Success | Lechner | |
| 1992 | Schtonk! | Bavarian customs officer | |
# Willy Haugli

Willy Haugli (2 August 1927 – 12 February 2009) was a Norwegian jurist, university director and police chief.

## Biography

Haugli was born in Tromsø, Norway. He was the son of Ivar Stefanussen Haugli (1889-1942) and Jenny Løvberg (1896-1961). He graduated from the Norwegian Police University College (Politiskolen) in 1950. He attended the National Defense College (Forsvarets høgskoleof) from 1967 to 1968.
In 1969, Haugli was appointed university director of the newly established University of Tromsø. He was university director from 1969 to 1978. In 1985 he was appointed district law judge in Tromsø and that same year became Chief of police in Oslo, a position which he held from 1985 until 1994. In retirement, he returned to Tromsø where for some years he served as extraordinary judge in the Hålogaland Court of Appeal.
# Willy Hamacher

Willy Hamacher (10 July 1865, Breslau - 9 July 1909, Bad Reinerz) was a German landscape and marine painter.

## Life and work

His father, Theodor Hamacher [de], who died four months before he was born, was a painter; as was his older brother, Alfred [de].
He began by studying landscape painting at the Silesian Museum of Fine Arts, under the tutelage of Carl Cowen Schirm [de]. From 1888 to 1889, he continued his studies at the Kunstakademie Düsseldorf with Eugen Dücker. From 1889, he was a member of the progressive artists' association, Malkasten.
Later, from 1890 to 1894, he was able to perfect his techniques in Berlin, at the Prussian Academy of Arts, where he studied with Hans Gude, who had been Schirm's teacher. During that time, he opened his own studio near the Tiergarten. In 1895 he moved to the Tauentzienstraße, where he operated a painting school "for men and women". After 1904, he lived and worked in Wilmersdorf.
He travelled extensively; to Sweden, France, England and Italy. He initially favored Nordic coastal landscapes, but later came to prefer the brighter scenery of Italy. His major exhibitions included those at the Glaspalast (1888), the Große Berliner Kunstausstellung (from 1889), where he was awarded a small gold medal in 1896, and with the Berlin Secession (1898).
# Langley Wood

Langley Wood may refer to the following places in England:
* Langley Wood; a wood that is part of the Brent Eleigh Woods, an SSSI in Suffolk
* Langley Wood, Cambridgeshire; an SSSI
* Langley Wood, Edwardstone; a wood in the parish of Edwardstone in Suffolk
* Langley Wood, Wiltshire; part of Langley Wood and Homan's Copse, an SSSI
* Langleywood School, Berkshire
* Langley Vale Wood, Surrey
# Langley Wood, Cambridgeshire

Langley Wood is a 31.6-hectare (78-acre) biological Site of Special Scientific Interest in Cambridgeshire, but lying between Saffron Walden in Essex and Haverhill in Suffolk.
This ancient wood has coppiced ash and hornbeam, together with maple, hazel and oak. Flora include dog’s mercury, sanicle and the uncommon sweet woodruff.
The site is private land with no public access.
# Larry Rodriguez

Larry Rodriguez may refer to:
* Larry Rodriguez (basketball) (born 1983), Filipino basketball player
* Larry Seilhamer Rodríguez (born 1954), Puerto Rican politician
* Larry Rodriguez, cameraman who made an official complaint of assault against baseball player Kenny Rogers
# Lannach

Lannach is a municipality in the district of Deutschlandsberg in the Austrian state of Styria.

## Etymology

The name "Lannach" is associated with the former landlords, the Lunnachers (Lannachers), whose name derives from a tributary of the Kainach, the Laan (or Lahn); the "u" is a misunderstood reading for an "open" a written not completely closed at the top of an old document. The name is mentioned as Lunach in 1172. According to recent research, the place name Lannach belongs to the type of the Slavic names of the inhabitants, which were borrowed into the German locative, i.e. from Slavic (pri) lunjach "(at the inhabitants of) Lunje". The name itself is testified 1172 as Lunach, 1245 Leunach, 1319 Laenach, 1414 Lanach and means "place, where birds of prey occur" (to Slovenian. lunj "bird of prey, bird of prey etc."). The name of the municipality is pronounced in everyday life with accentuated long a (about: [l'ɑnaχ]). Historical names of the small brook (Laan, Lahn), where the place lies, and the old writing variant Lanach (see the historical maps below) are evidence that the doubling of the n in the name Lannach is no evidence for a vowel shortening.
# Mariano Crociata

Mariano Crociata (born 16 March 1953) has been bishop of the Diocese of Latina-Terracina-Sezze-Priverno since 19 November 2013. He was previously the Secretary-General of the Italian Episcopal Conference (CEI), the first to come from a southern Italian diocese, and earlier served as Bishop of Noto.

## Early life and priesthood

Born in Castelvetrano, Province of Trapani, Sicily, Crociata was ordained as a priest in 1979. He studied philosophy and theology at the Almo Collegio Capranica. He graduated from the Pontifical Gregorian University of Rome, where he was awarded a doctorate in theology in 1987 on "Humanism and theology in Augustine Steuco" for the kinds of New Town in 1987.
Crociata ran the theology of religions department at Palermo's Theological School and has organised a number of conferences including many on Islam. From 2003 he was vicar general of the Diocese of Mazara del Vallo.

## Bishop

On 16 July 2007 Pope Benedict XVI appointed him Bishop of Noto. He was consecrated on 6 October 2007. On 26 September 2008 Benedict appointed him secretary general of the CEI to replace Giuseppe Betori who had been appointed archbishop of Florence. Crociata was reportedly named secretary general on the recommendation of archbishop of Genoa and CEI president Cardinal Angelo Bagnasco, who became president of the CEI in 2007. In October 2010 Bishop Crociata welcomed civil suits against priests for alleged sexual abuse. He said that "There will be no obstacles to civil proceedings. On the contrary, they would be viewed favourably," he told reporters following a meeting of the Episcopal Conference. "The Italian church acts rigorously and with the necessary attention for the victims," he added. Italian bishops say about 100 cases of sexual abuse of minors have been investigated by the church over the last decade. Critics say the number is far higher.
Upon his election as pope, Pope Francis did not confirm Crociata is his CEI post and instead named him bishop of Latina-Terracina-Sezze-Priverno. In doing so, Francis returned to the practice of the early years of the CEI under Paul VI, when the position of Secretary-General was not a stepping stone to a major diocese and eventual appointment as cardinal.
Catholic Church titles :
| Preceded byGiuseppe Malandrino | Bishop of Noto 16 July 2007 – 25 September 2008 | Succeeded byAntonio Staglianò |
| Preceded byGiuseppe Betori | Secretary-General of the Italian Episcopal Conference 26 September 2008 – 19 November 2013 | Succeeded byNunzio Galantino |
| Preceded byGiuseppe Petrocchi | Bishop of Latina-Terracina-Sezze-Priverno 19 November 2013 – present | Succeeded byIncumbent |
# G2531 Hangzhou–Shangrao Expressway

The G2531 Hangzhou–Shangrao Expressway (Chinese: 杭州—上饶高速公路), also referred to as the Hangshang Expressway (Chinese: 杭上高速公路), is an under construction expressway in China that will connect the cities of Hangzhou, Zhejiang and Shangrao, Jiangxi via Chun'an County and Kaihua County.
# G2513 Huai'an–Xuzhou Expressway

The G2513 Huai'an–Xuzhou Expressway (Chinese: 淮安—徐州高速公路), commonly referred to as the Huaixu Expressway (Chinese: 淮徐高速公路), is an expressway in China that connects the cities of Huai'an, Jiangsu, and Xuzhou, Jiangsu. The expressway is a spur of G25 Changchun–Shenzhen Expressway and is entirely in Jiangsu Province.
It passes through the following cities, all of which are in Jiangsu Province:
* Huai'an
* Suqian
* Xuzhou
# Willkomm

Willkomm is a surname. Notable people with the surname include:
* Aenne Willkomm (1902–1979), later Aenne Kettelhut, German costume designer
* Heinrich Moritz Willkomm (1821–1895), German academic and botanist
* Katharina Willkomm (Katharina Kloke, born 1987), German lawyer and politician
# Fusarinine-C ornithinesterase

The enzyme fusarinine-C ornithinesterase (EC 3.1.1.48) catalyzes the reaction
    N$^5$-acyl-L-ornithine ester + H$_2$O $\rightleftharpoons$ N$^5$-acyl-L-ornithine + an alcohol
This enzyme belongs to the family of hydrolases, specifically those acting on carboxylic ester bonds. The systematic name of this enzyme class is N$^5$-L-ornithine-ester hydrolase. Other names in common use include ornithine esterase, and 5-N$^5$-L-ornithine-ester hydrolase.
# Wilyabrup, Western Australia

Wilyabrup, also spelt Willyabrup, is a locality in Western Australia's Margaret River wine region, in the local government area of the City of Busselton. The Quinninup Falls are within the locality.
At the 2021 census, it had a population of 193. It has the highest concentration of premium wine producers in the region.

## History

The area lies in the traditional lands of the Wadandi people.
The name "Wilyabrup" (also spelt "Willyabrup") comes from the local Wilyabrup Brook, which first appeared on planning documents in 1865, and may be derived from "Worlyabaraap", a Noongar word meaning "northern sky".
The area was developed in the 1920s as part of the Group Settlement Scheme, with the construction of a hall beginning in 1922 and a school on the site in 1928; the school was destroyed by fire in 1954.
Wine began to be grown there in the 1960s and 1970s, with Vasse Felix and Cullen Wines being the first vineyards in Wilyabrup.
The area was gazetted as a bounded locality in 1987, having previously been a postal district.

## Attractions

Within the locality are the Wilyabrup Sea Cliffs, which are used for rock-climbing and abseiling, along with Quinninup Falls, which are on the Cape to Cape Track.
Near the Falls, there was evidence of Noongars having inhabited the area around 17,000 years ago in the form of fire pits, which have now been removed. The area is still regarded by the Wadandi people as culturally significant, having been an important ceremonial site. With the increasing popularity among tourists during the COVID-19 pandemic in Australia in mid-2021, the traditional custodians and the Department of Biodiversity, Conservation and Attractions have been collaborating to improve signs requesting walkers to keep to the paths, and revegetation efforts are under way as of 2021.
# Gabel

Gabel may refer to:

## People

* Gabel (surname)

## Places

* Bahr el Gabel, the former name of the Central Equatoria province of Sudan
* Gabel (known as Deutsch Gabel between 1901 and 1945), former name of the town of Jablonné v Podještědí, Liberec Region, Czech Republic
* Gabel an der Adler, former name of the town of Jablonné nad Orlicí, Pardubice Region, Czech Republic

## Other uses

* The Catlin Gabel School, a pre-K to 12 school in Oregon
* Gabel (company) [it], an Italian textile company
# Gabeca Pallavolo

Acqua Paradiso Monza Brianza is a professional volleyball team of Pallavolo Gabeca (till 2009 Acqua Paradiso Gabeca Montichiari), based in Monza, Italy. It plays in Italian Volleyball League. It was born in Carpenedolo in 1975. In the next season (2011–12) will play the CEV Cup.

## Achievements

* CEV Cup Winners' Cup: 2

## Team 2011/12

* Tsimafei Zhukouski
* Luciano De Cecco
* Facundo Conte
* Simone Buti
* Konstantin Shumov
* Marcello Forni
* Carlo Mor
* Miloš Nikić
* Sean Rooney
* Marco Molteni
* Mauro Gavotto
* Nicolas Roumeliotis
* Salvatore Rossini
* Edoardo Ciabattini
* Tamas Kaszap

## Notable former players

* Lorenzo Bernardi
* Marcello Forni
* Ferdinando De Giorgi
* Marco Meoni
* Marco Molteni
* Francesco Dall'Olio
* Alessandro Paparoni
* Michele Pasinato
* Damiano Pippi
* Andrea Sartoretti
* Cristian Savani
* Luciano De Cecco
* Facundo Conte
* Mauricio Lima
* Marcelo Negrão
* Plamen Kostantinov
* Ventceslav Simeonov
* Osvaldo Hernández
* Rafael Pascual
* Mikko Esko
* Konstantin Shumov
* Stefan Hubner
* Jimmy George
* Guido Görtzen
* Robert Horstink
* Reinder Nummerdor
* Jan Posthuma
* Ronald Zoodsma
* Evgueni Mitkov
* Semyon Poltavskiy
* Dejan Bojović
* Andrija Gerić
* Nikola Grbić
* Miloš Nikić
* Sean Rooney
* Ryan Millar
# Winchester-King's Somborne Syncline

The Winchester-King's Somborne Syncline is one of a series of parallel east-west trending folds in the Cretaceous chalk of Hampshire. It lies at the western end of the South Downs, immediately to the north of the Winchester-East Meon Anticline and east of Salisbury Plain.

## Structure

The fold axis runs for around 40 kilometres (25 mi) from north of East Tytherley in the west, between Winchester and Kings Worthy, towards Four Marks in the east. To the north-east of Winchester the fold axis is followed by the valley of the River Itchen, which turns abruptly south to cut across the structure and the Winchester-East Meon Anticline to the south.
Parallel folds to the north include the Stockbridge Anticline and the Micheldever Syncline. To the south-west across the River Test is the similar Alderbury-Mottisfont Syncline. As with other nearby folds, the structure is controlled by movement of fault blocks within the Jurassic strata below.
# Mohnbukta

Mohnbukta is a bay at the western shore of Storfjorden in Sabine Land at Spitsbergen, Svalbard. It is named after Norwegian meteorologist Henrik Mohn. The glacier of Hayesbreen is situated northwest of the bay. At the western side of the bay is the mountain of Kroghfjellet, and north of the bay is the mountain of Teistberget.
# Laomenes (mythology)

In Greek mythology, Laomenes (Ancient Greek: Λαομένης) was the Thespian son of Heracles and Oria, daughter of King Thespius of Thespiae.

## Mythology

Laomenes and his 49 half-brothers were born of Thespius' daughters who were impregnated by Heracles in one night, for a week or in the course of 50 days while hunting for the Cithaeronian lion. Later on, the hero sent a message to Thespius to keep seven of these sons and send three of them in Thebes while the remaining forty, joined by Iolaus, were dispatched to the island of Sardinia to found a colony.
# Last Words: The Final Recordings

Professional ratings :
| Review scores ||
| Source | Rating |
| AllMusic | |
| The A.V. Club | B |
| Drowned in Sound | 6/10 |
| Pitchfork Media | 5.7/10 |
Last Words: The Final Recordings is the eighth and final studio album by the American rock band the Screaming Trees. The album itself was recorded two years after their album Dust. Shortly after Dust was released, Epic Records decided to drop the band. However, in the years of 1998 and 1999, the band recorded the album in Pearl Jam's guitarist Stone Gossard's studio. Due to the band's break-up in 2000, and Mark Lanegan's refusal to perform with the band, the album wasn't released for twelve years until drummer Barrett Martin released it on his own label, Sunyata Records. The album received mixed reviews.

## Track listing

All tracks are written by Van Conner, Mark Lanegan, Barrett Martin, and Gary Lee Conner

## Personnel

Screaming Trees
* Gary Lee Conner – lead guitar, piano, clavinet, backing vocals
* Van Conner – bass guitar, backing vocals
* Mark Lanegan – lead vocals
* Barrett Martin – drums, Hammond organ, Fender Rhodes, vibraphone, percussion
Additional musicians
* Peter Buck – guitars
* Josh Homme – guitar on "Crawlspace"
# Wir weihn der Erde Gaben

"Wir weihn der Erde Gaben" (We dedicate the gifts of the earth) is a Christian offertory hymn with text by Petronia Steiner to the melody of the 1529 "Lob Gott getrost mit Singen". It appeared in the first edition of the Catholic hymnal Gotteslob and is part of its second edition. Several composers wrote settings for use in church.

## History

The text "Wir weihn der Erde Gaben" was written by Petronia Steiner in 1945, for the offertory during mass. She was born Elisabeth Steiner in 1908 in Venningen, The Palatinate, and became a Dominican nun in 1928, adopting the name Petronia. From 1942, she worked for a new hymnal for the Diocese of Speyer. She became the director of a new school of higher education for girls in Speyer, then called Nikolaus-von-Weis-Schule, in 1953 and remained in the position until 1974. In 1976, she became Superior General (Generaloberin) of the "Institut St. Dominikus Speyer" institution.
The melody was derived by Michael Töpler in 1832 from an older tune, published in 1526. The hymn was included in the first edition of the Catholic hymnal Gotteslob as GL 480 in 1975. Revised in 1993, it was retained for the second edition of the hymnal in 2013 as GL 187, in the section "Gesänge zur Gabenbereitung" (Chants for offertory).

## Melody

The tune was first secular, and appeared in 1532 with the text "Entlaubet ist der Walde". It was first associated with a hymn in 1535 in Nürnberg. It was used for the Bohemian Brethren's "Lob Gott getrost mit Singen", a loose paraphrase of the Latin Te Deum. Johann Paul Zehetbauer composed a four-part setting, with the melody in the alto, for a collection Lieder und Chorsätze zum Kirchenjahr (Songs and choral settings for the liturgical year), published by Christophorus Verlag. Peter Planyavsky wrote settings for three and four voices in 2006, published by Doblinger. A version with chorale prelude and choral setting was written by Carsten Klump for an ecumenical collection of hymns from the Protestant and Catholic hymnals, Ökumenisches Orgelbuch, working for both "Lob Gott getrost mit Singen" and "Wir weihn der Erde Gaben".
# Wira

Wira may refer to:
* WIRA, a radio station licensed to Fort Pierce, Florida, United States
* Proton Wira, a car
* Wira (film), a 2019 Malaysian film
# Larry S. Kramer

Lawrence Stephen Kramer (born April 24, 1950) is an American journalist, entrepreneur, and corporate executive based in New York City, USA.

## Education

Kramer graduated from the S. I. Newhouse School of Public Communications at Syracuse University in 1972 with a degree in magazine journalism and political science. At Syracuse, he served as the chief editor of The Daily Orange as a freshman, and became editor of now defunct weekly Promethean in sophomore year. He holds a master's degree in business administration from Harvard Business School.

## Career

From 1977 to 1986, Kramer served as a reporter and editor for The Washington Post. Then from 1986 to 1991, Kramer worked at the San Francisco Examiner as an Executive Editor.
In 1991, he founded DataSport. In 1993 he sold DataSport to Data Broadcasting Corp and became the vice president of Data Broadcasting Corp.
Kramer founded CBS MarketWatch in 1997. He served as the chairman and CEO, and took it public in 1999. In 2005, Dow Jones acquired MarketWatch for more than $500 million.
In 2006, Larry Kramer became the president of CBS Digital Media, creating and running the new division. In 2006, he signed a deal with YouTube and Apple to put CBS entertainment content on the internet. In the same year, he also transitioned March Madness and The Masters online on CBS Sportsline.
In 2012, Larry became the President and Publisher of USA Today. He retired from that post in 2015 and became a director for Gannett Co.
In 2016, he became the chairman and interim CEO of TheStreet.

## Personal life

Kramer is married to Myla Lerner, a theatre producer. They have two adult children.