OpenLLM-France/wikimedia huggingface dataset:
# Stalling

Stalling or Stallings can refer to:
Example: Rilley is stalling icons for months because he doesn’t want to do it or say no, continuously delaying the task without providing a clear explanation or refusal.

## People

* Stalling (surname)
* Stallings (surname)

## Places

* Stallings, North Carolina, a town in North Carolina
* Stallings Field, an airport in North Carolina, USA
* Stallings Island, an archeological site in Georgia with shell mounds

## Science and computing

* Stall (fluid dynamics), in aviation and fluid dynamics, a sudden reduction in lift from exceeding a foil's critical angle of attack (such as when a plane climbs too steeply and slowly)
* Compressor stall, in jet-engine aviation
* Stalling (gaming), obstruction of the flow of play while leading in a timed game
* Pipeline stall, in computing
* Stallings theorem about ends of groups, a theorem by John R. Stallings
# Handball Federation of Serbia

The Handball Federation of Serbia (RSS) (Serbian: Rukometni savez Srbije, Рукометни савез Србије) is the governing body of team handball in Serbia. It is based in Belgrade.

## Hosted tournaments

* 1979 Women's Junior World Handball Championship
* 2004 European Men's U-18 Handball Championship
* 2009 European Women's U-17 Handball Championship
* 2012 European Men's Handball Championship
* 2012 European Women's Handball Championship
* 2013 World Women's Handball Championship
# Böğrek, Derik

Böğrek (Kurdish: Beyrok) is a neighbourhood in the municipality and district of Derik, Mardin Province in Turkey. The village is populated by Kurds of the Xidiran tribe and had a population of 122 in 2021.
# Owchbolagh, East Azerbaijan

Owchbolagh (Persian: اوچ بلاغ, also Romanized as Owchbolāgh and Ūch Bolāgh) is a village in Gavdul-e Sharqi Rural District, in the Central District of Malekan County, East Azerbaijan Province, Iran. At the 2006 census, its population was 118, in 26 families.
# Parcheqli

Parcheqli (Persian: پارچقلي, also Romanized as Pārcheqlī; also known as Pārcheqlī-ye Bālā and Pālcheqlī-ye Bālā) is a village in Golidagh Rural District, Golidagh District, Maraveh Tappeh County, Golestan Province, Iran. At the 2006 census, its population was 414, in 96 families.
# Kalman–Yakubovich–Popov lemma

The Kalman–Yakubovich–Popov lemma is a result in system analysis and control theory which states: Given a number $\gamma >0$, two n-vectors B, C and an n x n Hurwitz matrix A, if the pair $(A,B)$ is completely controllable, then a symmetric matrix P and a vector Q satisfying
    $A^{T}P+PA=-QQ^{T}$
    $PB-C={\sqrt {\gamma }}Q$
exist if and only if
    $\gamma +2Re[C^{T}(j\omega I-A)^{-1}B]\geq 0$
Moreover, the set $\{x:x^{T}Px=0\}$ is the unobservable subspace for the pair $(C,A)$.
The lemma can be seen as a generalization of the Lyapunov equation in stability theory. It establishes a relation between a linear matrix inequality involving the state space constructs A, B, C and a condition in the frequency domain.
The Kalman–Popov–Yakubovich lemma which was first formulated and proved in 1962 by Vladimir Andreevich Yakubovich where it was stated that for the strict frequency inequality. The case of nonstrict frequency inequality was published in 1963 by Rudolf E. Kálmán. In that paper the relation to solvability of the Lur’e equations was also established. Both papers considered scalar-input systems. The constraint on the control dimensionality was removed in 1964 by Gantmakher and Yakubovich and independently by Vasile Mihai Popov. Extensive reviews of the topic can be found in and in Chapter 3 of.

## Multivariable Kalman–Yakubovich–Popov lemma

Given $A\in \mathbb {R} ^{n\times n},B\in \mathbb {R} ^{n\times m},M=M^{T}\in \mathbb {R} ^{(n+m)\times (n+m)}$ with $\det(j\omega I-A)\neq 0$ for all $\omega \in \mathbb {R}$ and $(A,B)$ controllable, the following are equivalent:
* for all $\omega \in \mathbb {R} \cup \{\infty \}$
    $\left[{\begin{matrix}(j\omega I-A)^{-1}B\\I\end{matrix}}\right]^{*}M\left[{\begin{matrix}(j\omega I-A)^{-1}B\\I\end{matrix}}\right]\leq 0$
* there exists a matrix $P\in \mathbb {R} ^{n\times n}$ such that $P=P^{T}$ and
    $M+\left[{\begin{matrix}A^{T}P+PA&PB\\B^{T}P&0\end{matrix}}\right]\leq 0.$
The corresponding equivalence for strict inequalities holds even if $(A,B)$ is not controllable.
# Quzlujeh, Shahin Dezh

Quzlujeh (Persian: قوزلوجه, also Romanized as Qūzlūjeh) is a village in Hulasu Rural District, in the Central District of Shahin Dezh County, West Azerbaijan Province, Iran. At the 2006 census, its population was 90, in 16 families.
# El Pardal

El Pardal is a village in the municipality of Molinicos, province of Albacete, in the autonomous community of Castile-La Mancha, Spain.
# Kyauk Sat Yay

Kyauk Sat Yay (Burmese: ကျောက်စက်ရေ) is a 2009 Burmese drama film, directed by Wyne starring Myint Myat, Soe Myat Thuzar, May Than Nu, Htun Eaindra Bo and Khin Than Nu. Zaw Min (Hanthar Myay) won the Best Editing Award in 2009 Myanmar Motion Picture Academy Awards for this film.

## Cast
### Main cast

* Myint Myat as Myint Myat
* Soe Myat Thuzar as Thuzar San
* May Than Nu as Kalyar Nyein
* Htun Eaindra Bo as Thandar Htwe
* Khin Than Nu as Daw Hla Myaing

### Guest cast

* Yan Aung as Thuzar San's husband
* Ye Aung as Thandar Htwe's husband
* Moe Pyae Pyae Maung as Mar Mar
* Thazin as Thandar Htwe's young life
* Nan Su Yati Soe as Kalyar Nyein's young life
* Melody as Thuzar San's young life
* Sandi Myint Lwin as Kalayar Nyein's daughter

## Award

| Year | Award | Category | Nominee | Result |
| 2009 | Myanmar Motion Picture Academy Awards | Best Editing | Zaw Min (Hanthar Myay) | Won |
# Terinebrica phaloniodes

Terinebrica phaloniodes is a species of moth of the family Tortricidae. It is found in Santa Catarina, Brazil.
# Abhinesh Maharshi

Abhinesh Maharshi is an Indian politician from the Ratangarh Assembly constituency in Rajasthan. He is a member of the 15th Assembly of Rajasthan as a Bharatiya Janata Party member.

## Political career

In 2008, he contested from Ratangarh assembly on a Congress ticket. He lost the election, securing 37,000 votes. In the 2014 Lok Sabha elections, Maharishi contested from Churu Loksbha seat on BSP ticket. He stood second and got three lakh votes. In the 2018 assembly elections, he defeated the independent Pusaram Godara by 11881 votes and became MLA for the first time.
# Cedrick Holt

Cedrick Leterris Holt (born December 30, 1983, in Wadesboro, North Carolina) is a former American football cornerback. He was originally signed by the Tennessee Titans as an undrafted free agent in 2007. He played college football at the University of North Carolina. He graduated from Anson High School in 2002.
# Ed Horton

Edward C. Horton (born December 17, 1967) is an American former professional basketball player who was selected by the Washington Bullets in the second round (39th pick overall) of the 1989 NBA draft. He was a 6'8", 230 lb. power forward.
Horton played one full season in the NBA, appearing in 45 games and averaging 4.5 points per game for the Bullets during the 1989–90 season.
Horton was part of George Raveling's recruiting class at the University of Iowa in 1985 which included B. J. Armstrong, Roy Marble, Les Jepsen and Kevin Gamble. All five recruits went on to play in the National Basketball Association. Horton and Gamble played together at Lanphier High School in Springfield, Illinois. Horton was named First Team All-Big Ten in 1988–89.
# Mutlu, Çelikhan

Mutlu (Kurdish: Şirfîn) is a village in the Çelikhan District, Adıyaman Province, Turkey. The village is populated by Kurds of the Reşwan tribe and had a population of 295 in 2021.
The hamlets of Çubuklu and Harman are attached to the village.
# Maria Józefa Sobieska

Maria Józefa Sobieska née Wessel (1685-1761), was a Polish princess, daughter-in-law of king John III Sobieski.

## Biography

She was the daughter of nobleman Stanisław Wessel, Rogala coat of arms and Countess Maria Barbara von Starhemberg (1673-1745). Maria Barbara had been the royal governess of Princess Theresa Kunegunda Sobieska (1676–1730), one of the daughters of John III Sobieski. After becoming a widow early, her mother married in 1692 Austrian Feldmarschall Count Johann Heinrich von Dünewald-Pixendorf who died just a year later in 1693 and she later married again Count Maximilian Siegmund Friedrich von Trauttmansdorff-Weinsberg (1674-1731).
Most likely, from 1702 Maria Józefa was in Oława at the court of her future husband's brother, James Louis Sobieski. On 18 November 1708, in Gdańsk, she married Konstanty Władysław Sobieski, one of the sons of John III. This marriage was not well received, especially by Konstanty's mother, the dowager Queen Marie Kazimiera. Soon after the marriage, Konstanty Władysław left Poland, leaving his wife behind, and in 1711 he took the first steps towards obtaining a divorce. At first, Maria Józefa did not refuse to go along with this, but she wanted to agree on favorable terms. Until May 1719, Maria Józefa lived at the Convent of the Holy Sacraments in Warsaw, intending to remain there for the duration of the divorce proceedings. In 1720, Konstanty bought her a town house in Warsaw from the courtier Franciszek Manteuffel-Kiełpiński. In 1724 the ongoing divorce proceedings finally confirmed that the marriage had been lawful, and in November 1725 the terms of a settlement were agreed. It has been claimed that at the end of that year, Maria Józefa gave birth to a stillborn son, but this is considered unlikely. On 22 July 1726 Konstanty Władysław died, and Maria Józefa became his widow.
In the spring of 1727, Maria Józefa entered into a contract with her brother-in-law James Louis Sobieski under which, for the next year and a half, she was to manage the Prince Konstanty's estates in Żółkiew, now Zhovkva in Ukraine, Pomorzany, and Tarnopol. In January 1729, Maria Józefa left Zhovkva to live in Lwów, also now in Ukraine, and from there she moved on to Pilica, Upper Silesia, where she bought a castle and thirteen neighboring villages. Between 1731 and 1740, she rebuilt the castle to serve as her main residence. She also founded a Franciscan monastery in Pilica, the Minor Friars of Strict Observance.
In 1753, Maria Józefa sold her estates to a nephew, Teodor Wessel, and returned to living in the Convent of the Holy Sacraments at Warsaw. On 4 January 1761, she died there of breast cancer, leaving her remaining property to nephews and nieces. Her funeral was on 7 January 1761 at the church of Saint Casimir in the New Town, where her tomb could still be visited until the destruction caused during the Warsaw Uprising of 1944.
# Ceara O'Neill

Ceara O'Neill is an English actress and musician. She is notable for her work in television, including Young Victoria, starring Emily Blunt, TV sitcom The Inbetweeners starring Simon Bird, TV sitcom Him and Her, and BBC TV medical series Holby City. Ceara O'Neill is also the guitarist and backing vocalist for all-sister rock band Kyneska.

## Background

Ceara O'Neill was born in Huntingdon, Cambridgeshire. She was a gifted tennis player, and the highest ranked player for her age in Britain aged 10&U. In 2001 she reached the finals of the International Tennis Event 'Top 10-12' in Bressuire, France, beating Alizé Cornet in the semi-finals.
In 2004 when aged 14, she turned professional, competing in $10,000 ITF events in Portugal, before turning to a career in acting and music.

## Career

* Him & Her (2013) - Paula
* Holby City (2013) - Nurse
* McDonald's Advert (2009) - Voiceover
* The Young Victoria (2009) - Maid
* The Inbetweeners (2008) - Partygoer
* The Knowledge of Beauty (2008) - Jenny
* My Family Christmas Special (2006) - Carol Singer
* Endeavour (2014) - Personal Assistant

## Discography

* Album: Emerald Sky - Shadows of Darkness (2008) - Guitarist and backing vocals
# Stacey Martin

Stacey Martin (born November 13, 1970) is a former professional tennis player from the United States.

## Biography

Martin comes from Largo, Maryland, near Washington DC. One of three siblings that played tennis, she began at the age of five and was coached initially by her father. She went to school at Elizabeth Seton High in Bladensburg and later trained at a North Carolina tennis academy run by Gary Johnson.
Before turning professional she took up an athletic scholarship to the University of Tennessee, where she played No. 1 tennis from her freshman year.
As a professional player she made it to as high as 58 in the world. She was a semi-finalist at the 1988 Schenectady Open and did well at the same tournament again in 1989 with a quarter-final appearance. At the 1989 United Jersey Bank Classic she had a win over second seed Pam Shriver en route to the semi-finals. She made the third round of the 1990 French Open.
She was one of the highest ranked African American tennis players of her era, along with Katrina Adams, Camille Benjamin, Zina Garrison and Lori McNeil.
# Soğukkuyu, Derik

Soğukkuyu (Kurdish: Şaweled) is a neighbourhood in the municipality and district of Derik, Mardin Province in Turkey. The village had a population of 293 in 2021.
# Tymchuk

Tymchuk (Ukrainian: Тимчук) is a Ukrainian surname. It derives from the Christian name Timothy, and its Ukrainian derivatives, Tymko. The surname, Tymchuk, was created by adding the Ukrainian patronymic suffix, -uk, meaning someone of Tymko, usually the son of Tymko. It may refer to the following individuals:
* Dmytro Tymchuk (1972–2019), Ukrainian military expert and blogger
* Yakiv Tymchuk (1919–1988), Ukrainian Greek Catholic clandestine bishop

## Related surnames

* Tymoshenko
* Tymoschuk
# Jimmy Autry State Prison

Jimmy Autry State Prison is a state prison located in Mitchell County, near Pelham, Georgia. It was constructed in 1992 and opened in 1993.
Autry houses close security inmates who, due to their offense or behavior, would not be safe in the general prison population. Sex offender treatment is compulsory. Various religious activities are offered and are well attended. Vocational options consist of Footwear Manufacturing, Buffer Repair, and Food Preparation. The prison compound consists of eight buildings. Six buildings maintain two cell units which have 48 double-bunked beds in each. Building seven has four living areas with 92 beds in each. The last building holds one dorm with 85 double-dunks and a segregation hall of 47 beds.
Autry state prison, as of 2020, offers two programs for inmate recreation. These include a Bee Keeping program and an Art Workshop. Due to lack of adequate security inmates are not currently able to fully participate in all of the camp's programs.
Autry was one of nine Georgia state prisons implicated in an FBI sting operation announced in February 2016. The agency indicted 47 correction officers who'd agreed to deliver illegal drugs while in uniform. These charges were "part of a larger public corruption investigation into Georgia Correctional Facilities".
# Earl Banks

Earl C. Banks (June 11, 1924 – October 27, 1993) was an American football player, coach, and college athletics administrator. He served as the head coach at Morgan State College—now known as Morgan State University—from 1960 to 1973, compiling a record of 96–31–2, and as the athletic director at the school from 1970 to 1983. Banks was inducted into the College Football Hall of Fame as a coach in 1992. He died on October 27, 1993, as a result of a car crash in Baltimore.

## Head coaching record
### Football

| Year | Team | Overall | Conference | Standing | Bowl/playoffs |
| Morgan State Bears (Central Intercollegiate Athletic Association) (1960–1970) ||||||
| 1960 | Morgan State | 3–3–1 | 3–3–1 | 8th | |
| 1961 | Morgan State | 5–4 | 5–4 | 8th | |
| 1962 | Morgan State | 8–1 | 8–1 | 1st | |
| 1963 | Morgan State | 8–2 | 8–1 | 2nd | L Orange Blossom Classic |
| 1964 | Morgan State | 7–2 | 7–2 | 2nd | |
| 1965 | Morgan State | 9–0 | 8–0 | 1st | W Orange Blossom Classic |
| 1966 | Morgan State | 9–0 | 8–0 | 1st | W Tangerine |
| 1967 | Morgan State | 8–0 | 8–0 | 1st | |
| 1968 | Morgan State | 8–1 | 7–1 | 1st | |
| 1969 | Morgan State | 6–4 | 6–2 | 5th | |
| 1970 | Morgan State | 8–2 | 5–0 | 1st (Northern) | L Boardwalk |
| Morgan State Bears (Mid-Eastern Athletic Conference) (1971–1973) ||||||
| 1971 | Morgan State | 6–4–1 | 5–0–1 | 1st | |
| 1972 | Morgan State | 5–5 | 4–2 | T–2nd | |
| 1973 | Morgan State | 6–3 | 4–2 | T–3rd | |
| Morgan State: | Morgan State: | 96–31–2 | 86–18–2 | | |
| Total: | Total: | 96–31–2 | | | |
| National championship  Conference title  Conference division title or championship game berth ||||||
# Alang-e Sofla

Alang-e Sofla (Persian: النگ سفلي, also Romanized as Alang-e Soflá; also known as Alang-e ‘Alī Beyg), meaning "Lower Alang", is a village in Pasakuh Rural District, Zavin District, Kalat County, Razavi Khorasan Province, Iran. At the 2006 census, its population was 40, in 10 families.
# Lwi Zar

Lwi Zar (Burmese: လွီးဇာ, also known as Kalaw Myahar, born 2 February 1976) is a Burmese politician who currently serves as a House of Nationalities member of parliament for Kayah State No. 6 constituency.

## Early life and education

Lwi Zar was born on 2 February 1976 in Demoso Township, Kayah State, Burma (Myanmar).

## Political career

Lwi Zar is a member of the National League for Democracy. In the Myanmar general election, 2015, she was elected as an Amyotha Hluttaw MP, winning a majority of 2,576 votes and elected representative from Kayah State No. 6 parliamentary constituency. She also serves as a member of Amyotha Hluttaw Health, Sports and Culture Committee.
# Patience Peninsula

Cape Patience (Russian: Полуостров Терпения, Poluostrov Terpeniya) is a peninsula protruding 65 km (40 mi) km of east-central Sakhalin Island into the Sea of Okhotsk. It forms the eastern boundary of the Gulf of Patience. The width of the peninsula varies from less than 1 km (0.62 mi), at the Lodochniy Isthmus, to 30 km (19 mi) at its widest point. It reaches a maximum elevation of 350 m (1,150 ft). The cape is the southernmost extension (on land) of the East Sakhalin Mountains, a north-south range that runs along the eastern side of Sakhalin Island.
There is a small lighthouse at the end of the cape, which was built in 1953.

## Climate

Climate data for Cape Patience :
| Month | Jan | Feb | Mar | Apr | May | Jun | Jul | Aug | Sep | Oct | Nov | Dec | Year |
| Record high °C (°F) | 2.2 (36.0) | 2.5 (36.5) | 5.1 (41.2) | 13.9 (57.0) | 21.1 (70.0) | 26.1 (79.0) | 25.0 (77.0) | 28.9 (84.0) | 26.1 (79.0) | 18.9 (66.0) | 12.2 (54.0) | 6.1 (43.0) | 28.9 (84.0) |
| Mean daily maximum °C (°F) | −9.1 (15.6) | −8.7 (16.3) | −4 (25) | 0.9 (33.6) | 4.0 (39.2) | 8.1 (46.6) | 12.1 (53.8) | 14.8 (58.6) | 13.3 (55.9) | 8.6 (47.5) | 1.6 (34.9) | −4.7 (23.5) | 3.1 (37.5) |
| Daily mean °C (°F) | −11.5 (11.3) | −11.7 (10.9) | −6.7 (19.9) | −1.2 (29.8) | 2.0 (35.6) | 5.8 (42.4) | 9.9 (49.8) | 12.3 (54.1) | 11.2 (52.2) | 6.6 (43.9) | −0.5 (31.1) | −6.9 (19.6) | 0.8 (33.4) |
| Mean daily minimum °C (°F) | −14 (7) | −14.6 (5.7) | −9.5 (14.9) | −3.2 (26.2) | −0.1 (31.8) | 3.5 (38.3) | 7.7 (45.9) | 9.8 (49.6) | 9.0 (48.2) | 4.6 (40.3) | −2.7 (27.1) | −9.1 (15.6) | −1.6 (29.2) |
| Record low °C (°F) | −27.9 (−18.2) | −29.1 (−20.4) | −23.4 (−10.1) | −18.5 (−1.3) | −7 (19) | −4.7 (23.5) | -0 (32) | 3.6 (38.5) | 1.1 (34.0) | −5.4 (22.3) | −14.9 (5.2) | −25.8 (−14.4) | −29.1 (−20.4) |
| Average precipitation mm (inches) | 32.8 (1.29) | 25.7 (1.01) | 29.5 (1.16) | 28.4 (1.12) | 38.9 (1.53) | 32.2 (1.27) | 54.8 (2.16) | 66.6 (2.62) | 76.1 (3.00) | 61.1 (2.41) | 49.6 (1.95) | 38.9 (1.53) | 534.6 (21.05) |
| Average precipitation days (≥ 1.0 mm) | 6.6 | 5.3 | 6.3 | 5.6 | 6.5 | 5.4 | 6.1 | 7.0 | 7.5 | 9.0 | 9.4 | 8.3 | 83 |
| Source 1: Météo climat stats Météo Climat ||||||||||||||
| Source 2: Roshydromet (records) ||||||||||||||
# Oleksii Hrabarov

Oleksii Hrabarov (Ukrainian: Олексій Грабаров, born 15 May 2005 in Odesa) is a Ukrainian swimmer. He is 2023 European Junior Swimming Championships silver medalist in 400 m individual medley event.
# Setta

* Brandon Setta, American musician from band Nothing
* Morena Silva de Vaz Setta Baccarin, or Morena Baccarin, American actress
* Nick Setta, former professional Canadian football placekicker and punter
* Salli Setta, American restaurateur and businesswoman
* Vera Setta, Brazilian actress and theatrical producer
# Sheneh

Sheneh (Persian: شنه) is a village in Howmeh-ye Sharqi Rural District, in the Central District of Khorramshahr County, Khuzestan Province, Iran. At the 2006 census, its population was 784, in 140 families.
# Liénard–Chipart criterion

In control theory, the Liénard–Chipart criterion is a stability criterion modified from the Routh–Hurwitz stability criterion, proposed in 1914 by French physicists A. Liénard and M. H. Chipart. This criterion has a computational advantage over the Routh–Hurwitz criterion because it involves only about half the number of determinant computations.

## Algorithm

The Routh–Hurwitz stability criterion says that a necessary and sufficient condition for all the roots of the polynomial with real coefficients
$f(z)=a_{0}z^{n}+a_{1}z^{n-1}+\cdots +a_{n},\quad a_{0}>0$
to have negative real parts (i.e. f is Hurwitz stable) is that
$\Delta _{1}>0,\,\Delta _{2}>0,\ \ldots ,\ \Delta _{n}>0,$
where Δ$_i$ is the i-th leading principal minor of the Hurwitz matrix associated with f.
Using the same notation as above, the Liénard–Chipart criterion is that f is Hurwitz stable if and only if any one of the four conditions is satisfied:
${\begin{aligned}1)\quad &a_{n}>0,\ a_{n-2}>0,\ a_{n-4}>0,\ \ldots \\&\Delta _{1}>0,\ \Delta _{3}>0,\ \ldots \\[4pt]2)\quad &a_{n}>0,\ a_{n-2}>0,\ a_{n-4}>0,\ \ldots \\&\Delta _{2}>0,\ \Delta _{4}>0,\ \ldots \\[4pt]3)\quad &a_{n}>0,\ a_{n-1}>0,\ a_{n-3}>0,\ \ldots \\&\Delta _{1}>0,\ \Delta _{3}>0,\ \ldots \\[4pt]4)\quad &a_{n}>0,\ a_{n-1}>0,\ a_{n-3}>0,\ \ldots \\&\Delta _{2}>0,\ \Delta _{4}>0,\ \ldots \end{aligned}}$
Hence one can see that by choosing one of these conditions, the number of determinants required to be evaluated is reduced.
Alternatively Fuller formulated this as follows for (noticing that Δ$_1$ > 0 is never needed to be checked):
${\begin{aligned}&a_{n}>0,\ a_{1}>0,\ a_{3}>0,\ a_{5}>0,\ \ldots ;\\&\Delta _{n-1}>0,\ \Delta _{n-3}>0,\ \Delta _{n-5}>0,\ \ldots ,\ {\begin{cases}n{\text{ even}}&\Delta _{3}>0\\n{\text{ odd}}&\Delta _{2}>0\end{cases}}\end{aligned}}$
This means if n is even, the second line ends in Δ$_3$ > 0 and if n is odd, it ends in Δ$_2$ > 0 and so this is just condition (1) for odd n and condition (4) for even n from above. The first line always ends in a$_n$, but a$_{n-1}$ > 0 is also needed for even n.
# Fortex Group Ltd (in Receivership and Liquidation) v MacIntosh

Fortex Group Ltd (in Receivership and Liquidation) v MacIntosh [1998] 3 NZLR 171 is a cited case in New Zealand regarding constructive trusts.
# Rajendra Prasad Chaudhary

Rajendra Prasad Chaudhary is an Indian politician and a member of the 18th Uttar Pradesh Assembly from the Rudhauli Assembly constituency of Basti district. He is a member of the Samajwadi Party.

## Early life

Rajendra Prasad Chaudhary was born on 1 July 1961 in Basti, Uttar Pradesh, to a Hindu family of Santram Chaudhary. He married Sheela Chaudhary on 2 March 1987, and they had two children.