Samantha912/NLP_A2_WTH huggingface dataset:
In mathematical physics, the Wu–Sprung potential, named after Hua Wu and Donald Sprung, is a potential function in one dimension inside a Hamiltonian  with the potential defined by solving a non-linear integral equation defined by the Bohr–Sommerfeld quantization conditions involving the spectral staircase, the energies  and the potential .

here  is a classical turning point so , the quantum energies of the model are the roots of the Riemann Xi function  and . In general, although Wu and Sprung considered only the smooth part, the potential is defined implicitly by ; with  being the eigenvalue staircase  and  is the Heaviside step function.

For the case of the Riemann zeros Wu and Sprung and others have shown that the potential can be written implicitly in terms of the Gamma function and zeroth-order Bessel function.

and that the density of states of this Hamiltonian is just the Delsarte's formula for the Riemann zeta function and defined semiclassically as 

here they have taken the derivative of the Euler product on the critical line ; also they use the Dirichlet generating function .  is the Mangoldt function.

The main idea by Wu and Sprung and others is to interpret the density of states as the distributional Delsarte's formula and then use the WKB method to evaluate the imaginary part of the zeros by using quantum mechanics.

Wu and Sprung also showed that the zeta-regularized functional determinant is the Riemann Xi-function 

The main idea inside this problem is to recover the potential from spectral data as in some inverse spectral problems in this case the spectral data is the Eigenvalue staircase, which is a quantum property of the system, the inverse of the potential then, satisfies an Abel integral equation (fractional calculus) which can be immediately solved to obtain the potential.

Asymptotics

For large x if we take only the smooth part of the eigenvalue staircase , then the potential as  is positive and it is given by the asymptotic expression  with  and  in the limit . This potential is approximately a Morse potential with 

The asymptotic of the energies depend on the quantum number  as , where  is the Lambert W function.

References 

 
 G. Sierra, A physics pathway to the Riemann hypothesis, arXiv:math-ph/1012.4264, 2010.
 
 Rev. Mod. Phys. 2011; 83, 307–330 Colloquium: Physics of the Riemann hypothesis
 Trace formula in noncommutative geometry and the zeros of the Riemann zeta function Alain Connes 
 
 
 
 
 Some remarks on the Wu–Sprung potential. Preliminary report Diego Dominici 
 http://empslocal.ex.ac.uk/people/staff/mrwatkin/zeta/NTfractality.htm

Mathematical physics
Jabez J. Parker served as the 15th Secretary of State of Alabama from 1870 to 1872.

References

Year of birth missing
Year of death missing
Alabama Democrats
Secretaries of State of Alabama
Simon VI de Montfort (April 1240 – 1271), known as Simon de Montfort the Younger, was the second son of Simon de Montfort, 6th Earl of Leicester and Eleanor of England.

His father and his elder brother Henry were killed at the Battle of Evesham in August 1265. The younger Simon had been slow to bring his forces from London, and had seen them and their banners captured by Prince Edward, who then used the banners to trick Simon's father. He arrived at Evesham just in time to see his father's head atop a pike. The younger Simon tried to raise a rebellion in Lincolnshire, but this petered out by Christmas.

In 1266, Simon and his supporters were now stuck in Kenilworth Castle, which was previously owned by his father. Having promised to surrender the castle to King Henry III of England, Simon later changed his mind and so the King decided to besiege the castle on 21 June. The Siege of Kenilworth lasted six months, making it one of the longest sieges ever conducted on the British Isles. Simon surrendered the castle to the King on 14 December.

After the surrender at Kenilworth, Simon and his younger brother Guy escaped to France and Italy. In 1271 they discovered and murdered their cousin Henry of Almain (whom they blamed for the death of their father) at the church in Viterbo, for which they were excommunicated. Simon died later that year from Toscana virus at Siena, "cursed by God, a wanderer and a fugitive".

Notes
Alternatively Simon VII. The discrepancy in numbering arises from confusion between Simon III de Montfort (died 1181) and his son Simon de Montfort (died 1188). The latter was historically unknown, and Simon III was believed to be the father (not the grandfather) of the crusader Simon de Montfort, 5th Earl of Leicester, who is therefore known as Simon IV in some sources and Simon V in others.

References

Bibliography 

 

1240 births
1271 deaths
People excommunicated by the Catholic Church
Simon VI
13th-century English people
Younger sons of earls

es:Simón VI de Monfort#top
Pax Hill (Peace Hill), near Bentley, Hampshire, England, was the family home of Robert Baden-Powell, founder of the Scout movement, and his wife, Olave, for over twenty years during the 20th century. It is located at the end of a half-mile drive, off the main A31 road.

Pax Hill is a red-bricked house fronting south with higher ground behind. In the Baden-Powell family's time, there was a rose garden with dovecote at one side of the front of the house. Elsewhere, there were two summer houses, a shrubbery and a tennis court. Scouts and Guides camped on either side of the drive. The Baden-Powells added two wings. The west wing was designed by Robert Baden-Powell himself and he also modelled the frieze for the new bathroom, depicting fish in the River Wey.

The house was originally called "Blackacre" and was purchased with a gift from Olave Baden-Powell's father in 1918. In 1929, it was burgled and a number of souvenirs were stolen. They moved to Kenya in 1939 and Robert Baden-Powell died in 1941. The following year, due to World War II, Pax Hill was occupied by Canadian military troops and by way of recompense, Olave Baden-Powell was awarded a 'grace and favour' apartment in Hampton Court Palace.

After World War II, Olave Baden-Powell gave Pax Hill to the Girl Guides Association (now Girlguiding UK) to be used as a centre for members from the Commonwealth of Nations. The house became a Domestic Science Training School run on Guiding principles. The interest from £40,000 in the B.P. Memorial Fund was used to fund its upkeep. In April 1953, Pax Hill was sold with the consent of Olave Baden-Powell.  In the late 1970s and early 1980s Pax Hill was a boys boarding school. It has been a nursing home since 1988.

See also

 Don Potter

References

External links
 Pax Hill Residential and Nursing Home for the Elderly
 Olave Baden-Powell timeline

Year of establishment missing
Country houses in Hampshire
Places associated with Scouting
Nursing homes in the United Kingdom
Group B of the 2024 Women's Softball World Cup will take place from 18 to 22 July 2023 in Valencia, Spain. The group consists of host nation Spain, China, Cuba, Puerto Rico, Netherlands and South Africa.

Teams

Standings

Summary

All times listed are local, CEST (UTC+2).

|}

Matches

Netherlands vs Cuba

China vs Puerto Rico

South Africa vs Spain

Netherlands vs China

Cuba vs South Africa

South Africa vs Puerto Rico

Spain vs Cuba

Spain vs Netherlands

Cuba vs Puerto Rico

South Africa vs Netherlands

Spain vs China

Puerto Rico vs Netherlands

China vs South Africa

Cuba vs China

Puerto Rico vs Spain

Play-offs
The winner of the final and the repechage qualify for the 2024 finals.

Bracket

Summary

Fifth place play-off

Third place play-off

Final

Repechage

References

External links
 

Group B
Qwt or Qt Widgets for Technical Applications is a set of custom Qt widgets, GUI Components and utility classes which are primarily useful for programs with a technical background. Beside a 2D plot widget it provides scales, sliders, dials, compasses, thermometers, wheels and knobs to control or display values, arrays, or ranges of type double.

Qwt is used by Molekel.

References

Software that uses Qt
Colleen McCrory (1949/1950 – July 1, 2007) was a Canadian environmental activist.

She was born in New Denver, British Columbia by the light of a Coleman lantern to Patrick and Mabel McCrory. She was raised in New Denver BC, with 8 brother's and sisters. She had three children, Sean, Rory, and Shea. McCrory founded the Valhalla Wilderness Society, a British Columbia environmental group, in 1975.

McCrory funded her campaign at first through a small clothing store in New Denver. However, a three-year boycott by loggers forced her out of business in 1985 and forced her deep into debt.

She was awarded the Governor-General's Conservation Award in 1983 and the IUCN's Fred M. Packard Award in 1988. In 1992, she was named to the United Nations' Global 500 Roll of Honour and awarded a Goldman Environmental Prize. An old-growth forest lichen, Pertusaria mccroryae, was named in her honor in 2010.

She ran as a candidate for the Green Party in the 2001 British Columbia provincial elections.

McCrory's efforts helped lead to the creation of:
Valhalla Provincial Park in the Kootenay region of British Columbia 
Gwaii Haanas National Park Reserve and Haida Heritage Site in Haida Gwaii
Goat Range Provincial Park in the Selkirk Mountains
Khutzeymateen Grizzly Bear Sanctuary and the Spirit Bear Conservancy in the Great Bear Rainforest on the central coast of British Columbia
Incomappleux Conservancy in the Kootenay region of British Columbia (Part of the Selkirk Mountain Caribou Park proposal)

McCrory died of a brain tumor at home in Silverton, British Columbia in 2007, aged 57.

References

External links 
"Prominent B.C. eco warrior dies at 57". CBC British Columbia
"Heroes for the Planet". Time.
Entry from Canadian Who's Who

Canadian environmentalists
Canadian women environmentalists
People from the Regional District of Central Kootenay
Deaths from brain cancer in Canada
20th-century births
2007 deaths
Year of birth uncertain
Date of birth missing
Goldman Environmental Prize awardees
Petra Zublasing (born 30 June 1989) is an Italian sport shooter who won the 10 m air rifle event at the 2014 World Championships.

Career
She first competed internationally in 2003, having begun sports shooting in 2001.

She competed in the Women's 10 metre air rifle and the women's 50 metre three positions events at the 2012 Summer Olympics. She won her first World Cup event in 2013 in Granada.  In 2014, she won her greatest title to date, winning the women's 10 m air rifle event at the 2014 World Championships.  To win, she beat the then reigning Olympic champion Yi Siling by 0.3 points with the last shot of the event.  Earlier that year, she had set a new world record in the women's 50 m three positions event at the World Cup event in Fort Benning, having set the previous world record at the 2013 World Cup Final in Munich.

At the 2016 Olympics she competed in the same two events, reaching the final in the 50 m.  She studied at West Virginia University.

References

External links
 

1989 births
Living people
Italian female sport shooters
Olympic shooters for Italy
Shooters at the 2012 Summer Olympics
Shooters at the 2016 Summer Olympics
Sportspeople from Bolzano
West Virginia Mountaineers rifle shooters
Shooters at the 2015 European Games
European Games gold medalists for Italy
European Games medalists in shooting
Universiade medalists in shooting
Mediterranean Games gold medalists for Italy
Mediterranean Games silver medalists for Italy
Mediterranean Games medalists in shooting
Competitors at the 2013 Mediterranean Games
FISU World University Games gold medalists for Italy
Shooters at the 2019 European Games
Medalists at the 2011 Summer Universiade
20th-century Italian women
21st-century Italian women
Zirconium(II) hydride is a molecular chemical compound with the chemical formula . It is a grey crystalline solid or dark gray to black powder. It has been prepared by laser ablation and isolated at low temperature.

Zirconium(II) hydride has repeatedly been the subject of Dirac–Hartree–Fock relativistic calculation studies, which investigate the stabilities, geometries, and relative energies of hydrides of the formula , , , or MH.

Zirconium(II) hydride has a dihedral (C2v) structure. In zirconium(II) hydride, the formal oxidation states of zirconium and hydrogen are +2 and −1, respectively, because the electronegativity of zirconium is lower than that of hydrogen. The stability of metal hydrides with the formula  (M = Ti, Zr, Hf) decreases from Ti to Hf.

Uses
Zirconium(II) hydride is used as a thermal neutron moderator in nuclear reactors and as a material for neutron reflectors in fast reactors.

Zirconium(II) hydride in the form of a powder is used in powder metallurgy as a hydrogenation catalyst, vacuum tube getter, foaming agent in the production of metal foams and as a reducing agent.

References

See also
 Zirconium hydride

Metal hydrides
Zirconium(II) compounds
The Circuito (Parco) Palermo  (commonly known as the Palermo Circuit), was a Grand Prix circuit in Buenos Aires (Argentina). The  circuit used a layout of public roads within the north-end of the Palermo park complex (adjacent to the Hipodromo Argentino), to host the Buenos Aires Grand Prix from 1948 to 1950.

Palermo was the site of the General Juan Perón / Eva Duarte de Perón Grand Prix series, hosting five (of twelve) alternating editions (The first was held at the Retiro circuit in 1947).

Buenos Aires Grand Prix 1948–1950

References

 
Sport in Buenos Aires
Palermo
Defunct motorsport venues
Beatrix Kisházi (born October 13, 1946, Budapest) is a retired Hungarian table tennis player. She holds the record that winning four titles in the Europe Top-12 tournament.

Career
Kisházi was the winner of the first edition Europe Top-12 tournament in 1971. In the finals she beat the Czech player Ilona Vostová. The next two years she defended her title successfully in successive finals against the Romanian Alexandru Maria and her compatriot Judit Magos. Four years later Kisházi appeared on stage again and became the champion once more. In that year she defeated English player Jill Hammersley in the final, who was going to win the tournament three times in the next four years.

Kisházi represented Hungary in seven World Championships, six Europe Top-12 tournaments and six European Championships.

Honours
 Winner of Europe Top-12 in 1971, 1972, 1973 and 1977
 Winner of European Championships - National teams in 1972, 1978 and 1982
 Second runners-up of World Cup - National teams in 1967 
 Last sixteen of World Cup singles in 1969, 1973 and 1976

References

1946 births
Living people
Table tennis players from Budapest
Hungarian female table tennis players
Holly Wood is a  biological Site of Special Scientific Interest north-east of Oxford in Oxfordshire.

This ancient wood is a small remnant of the medieval Royal Forest of Shotover. It is coppice with standards on Oxford Clay with a varied invertebrate fauna. There are several uncommon butterfiles such as the black hairstreak and  purple emperor.

References

 
Sites of Special Scientific Interest in Oxfordshire
John Donaldson (15 October 1841 – 25 July 1896) was a politician in colonial Queensland, Colonial Treasurer from 19 November 1889 to 12 August 1890.

Donaldson was born at Purdeet, Victoria, Australia, and engaged in squatting pursuits, proceeding to New South Wales in 1876, and to Queensland in 1881.

Donaldson was returned to the Queensland Legislative Assembly for Warrego on 5 October 1883 holding that seat until 19 May 1888; later he represented Bulloo from 26 May 1888 to 25 April 1893 and then Logan from 4 April 1896 until his death on 25 July 1896.

Donaldson was appointed Postmaster-General of Queensland and Secretary for Public Instruction in the Thomas McIlwraith Ministry on 13 June  1888; and when the ministry was reconstructed under Boyd Dunlop Morehead, on 30 November in that year, continued to hold the same posts until 19 November 1889, when he succeeded William Pattison as Colonial Treasurer. He resigned with his colleagues in August 1890, owing to the opposition of the Assembly to his financial proposals. Donaldson was one of the Queensland delegates to the Federation Convention held at Sydney in March 1891.

Donaldson died in Coorparoo, Queensland on 25 July 1896, survived by his second wife Gertrude Evelyn née Willis, two sons by his first marriage (to Margaret, née Walker, married in 1869; predeceased Donaldson) and a son and two daughters by his second marriage.

Following a short service at his late Coorparoo residence, Donaldson was buried in Toowong Cemetery.

References

1841 births
1896 deaths
Members of the Queensland Legislative Assembly
Treasurers of Queensland
People from Victoria (state)
19th-century Australian politicians
Shockwave is an American documentary television series that premiered on November 30, 2007, on History. The program compiles video footage and eyewitness accounts to the headline making events and attempts to educate the viewer as to what really happened in a particular event.

The show depicts the United Airlines Flight 232 crash, USS Forrestal fire, the Killdozer, the Mount Hood hiking incident, the deadly Ramstein airshow disaster, and the PEPCON disaster.

The toolbox of resources which the show employs to perform this task include the following items:
Video footage
Photographs
3-D renderings (computer-generated imagery) of the event
Eyewitness accounts (testimony/interviews)
Participant accounts (interviews)

Each episode has typically four, five or six stories (or events). For each, people who witnessed the event or who were involved in the event are interviewed, video footage and photos of the event are shown, and 3-D renderings of the event are shown.

Episodes

Season 1 (2007-2008)

Season 2 (2008) 

*denotes lack of info for show due to unavailability of episode

Reception
Common Sense Media rated the show 3 out of 5 stars.

See also
World's Most Amazing Videos
Seconds From Disaster
Critical Situation
Destroyed in Seconds
Most Daring

References

External links
Shockwave official website

2000s American documentary television series
Documentary television series about aviation
History (American TV channel) original programming
2007 American television series debuts
The Richmond metropolitan area is a metropolitan area centered on Richmond, Virginia.

Richmond metropolitan area may also refer to:
The Richmond, Kentucky micropolitan area, United States
The Richmond, Indiana micropolitan area, United States

See also
Richmond (disambiguation)
Ameghino is a lunar impact crater located to the north of the Sinus Successus, a bay in the northeast part of Mare Fecunditatis. Less than 15 kilometers to the northwest of Ameghino were the landing sites of the Soviet Luna 18 and Luna 20 probes.

This formation was designated Apollonius C before being given a name by the IAU, in honour of the Argentine scientific and paleontologist Florentino Ameghino. Apollonius itself is located to the east-northeast.

References

External links

 LTO-62D3 Ameghino — L&PI topographic map

Impact craters on the Moon
This is the list of notable stars in the constellation Cetus, sorted by decreasing brightness.

See also 
 List of stars by constellation

References 
 
 
 
 

List
Cetus
Atarhar is a village in Khiron block of Rae Bareli district, Uttar Pradesh, India. It is located 21 km from Lalganj, the tehsil headquarters. As of 2011, it has a population of 3,296 people, in 626 households. It has two primary schools and no healthcare facilities.

The 1961 census recorded Atarhar (as "Atra Har") as comprising 5 hamlets, with a total population of 1,407 people (680 male and 727 female), in 269 households and 229 physical houses. The area of the village was given as 865 acres.

The 1981 census recorded Atarhar as having a population of 1,867 people, in 333 households, and having an area of 350.47 hectares. The main staple foods were given as wheat and rice.

References

Villages in Raebareli district
Cold November is a 2018 independent film written & directed by Karl Jacob. It premiered in competition at the 2017 Woodstock Film Festival and internationally at CPH:PIX.

A 12-year-old girl being raised within a matriarchal household is taken through the right of passage of killing a deer for the first time. Expectations dissolve into chaos, and Florence finds herself alone, relying on instinct and training to follow through with her decisions, pull herself together, and face becoming an adult in the North American wilderness.

Cast
 Bijou Abas as Florence
 Karl Jacob as Uncle Craig
 Heidi Fellner as Mia
 Anna Klemp as Amanda
 Mary Kay Fortier-Spaulding as Grandma Georgia

References

External links
 
 

2018 films
American independent films
2010s English-language films
2010s American films
Qaraxanlı (also, Karakhanly) is a village and municipality in the Tovuz Rayon of Azerbaijan.  It has a population of 3,166.

References 

Populated places in Tovuz District
Omar Arellano Nuño (born 29 May 1967) is a Mexican former professional footballer who played as a midfielder and current manager. He played for Tigres UANL during the 1995-96 season.

As of April 2009 he was the manager at Chivas Guadalajara, and he managed Necaxa in 2010.

References

External links

1967 births
Living people
Footballers from Tamaulipas
Men's association football midfielders
Mexican men's footballers
Mexico men's international footballers
C.D. Guadalajara footballers
Tigres UANL footballers
Club León footballers
C.F. Pachuca players
Mexican football managers
C.D. Guadalajara managers
Club Necaxa managers
C.D. Veracruz managers
Correcaminos UAT managers
United Nations Security Council resolution 1164, adopted unanimously on 29 April 1998, after reaffirming Resolution 696 (1991) and all subsequent resolutions on Angola, the Council extended the mandate of the United Nations Observer Mission in Angola (MONUA).

The Security Council noted the progress made by the Angolan Government of Unity and National Reconciliation (GURN) and UNITA towards the implementation of aspects of the Lusaka Protocol, including the promulgation of a law granting special status to the leader of UNITA Jonas Savimbi, the appointment of UNITA governors, a list of ambassadors nominated by UNITA, the cessation of hostile radio broadcasts and the establishment of UNITA headquarters in the capital Luanda.

The Angolan government and UNITA were called upon to implement all remaining obligations under the peace agreements and Security Council resolutions. The Council demanded that UNITA end delays and linkages to irrelevant issues, and the completion of the normalisation of state administration in the towns of Andulo and Bailundo. Attacks by UNITA on MONUA troops, Angolan authorities, police and civilians were strongly condemned, with MONUA urged to investigate a recent attack.

The resolution reiterated the recommendation of Secretary-General Kofi Annan to reduce the military component of MONUA, leaving one infantry company, helicopter unit, medical staff and 90 military observers remaining by 1 July 1998. At the same time, the number of police observers would gradually be increased to 83 to help with the normalisation of state authority throughout Angola and the training of the National Police. It concluded by asking countries to continue to enforce measures against UNITA, and for the Secretary-General to report by 17 June 1998 on the status of the peace process and recommendations for a future United Nations presence in Angola.

See also
 Angolan Civil War
 List of United Nations Security Council Resolutions 1101 to 1200 (1997–1998)
 United Nations Angola Verification Mission I
 United Nations Angola Verification Mission II
 United Nations Angola Verification Mission III

References

External links
 
Text of the Resolution at undocs.org

 1164
1998 in Angola
 1164
April 1998 events
Gaspare Mainardi (June 1800 in Abbiategrasso, Milan – 9 March 1879 in Lecco) was an Italian mathematician active in differential geometry. He is remembered for the Gauss–Codazzi–Mainardi equations.

References

 Tricomi: La Matematica Italiana 1800-1950 (entry on Mainardi)

19th-century Italian mathematicians
1800 births
1879 deaths