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Question in combinatorial game theory
The angel problem is a question in combinatorial game theory proposed by John Horton Conway. The game is commonly referred to as the angels and devils
Angel_problem
non-terminating game of beggar-my-neighbour (Brayden Casella, 2024) The angel problem (Various independent proofs, 2006) Carathéodory conjecture for surfaces
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Idiom describing valueless debate
over the question of how many angels could dance on the head of a pin. In the angel problem, as in all many-body problems, there are two essential ingredients
How many angels can dance on the head of a pin?
How_many_angels_can_dance_on_the_head_of_a_pin?
Mathematical pursuit problem
U-turns. Variational calculus Level-set method Apollonius pursuit problem Conway's angel problem, another mathematical game which pits a powerful and maneuverable
Homicidal_chauffeur_problem
Angel in Jewish and Islamic mythology
Hebrew: מֶטָטְרוֹן Meṭāṭrōn), or Matatron (מַטַּטְרוֹן, Maṭṭaṭrōn), is an angel in Judaism. Metatron is mentioned three times in the Talmud, in a few brief
Metatron
Probability puzzle
The Monty Hall problem is a brain teaser, in the form of a probability puzzle, based nominally on the American television game show Let's Make a Deal
Monty_Hall_problem
2011 novel by L. A. Weatherly
right to feed off another species, come and propose a plan to end the angel problem for once and for all. They say that they need Willow's help as she can
Angel_Trilogy
2019 film by Ric Roman Waugh
Angel Has Fallen is a 2019 political action thriller film directed by Ric Roman Waugh. It is the third installment in the Has Fallen film series, following
Angel_Has_Fallen
Topics referred to by the same term
2014 "Angels and Devils" (Numb3rs), an episode of the American television show Numb3rs Angels and Devils (game), on which Conway's Angel problem is based
Angels_and_Devils
British mathematician
theory and low-dimensional topology. He is also known for solving the angel problem. Bowditch holds a chaired Professor appointment in Mathematics at the
Brian_Bowditch
Mexican actress and singer (born 1990)
Alita: Battle Angel (2019), Bloodshot (2020), and Ambulance (2022). In 2024, she starred in the science fiction series 3 Body Problem and the action-comedy
Eiza_González
Victory column and statue in Mexico City
The Angel of Independence, most commonly known by the shortened name El Ángel and officially known as Monumento a la Independencia ("Monument to Independence")
Angel_of_Independence
English mathematician (1937–2020)
game of Sprouts (July 1967), Hackenbush (January 1972), and his angel and devil problem (February 1974). In the September 1976 column, he reviewed Conway's
John_Horton_Conway
American magician, illusionist and musician (born 1967)
December 19, 1967), known professionally as Criss Angel, is an American magician, illusionist and musician. Angel began his career in New York City, before moving
Criss_Angel
Angel expelled from heaven in Abrahamic religions
Fallen angels are angels who were expelled from Heaven. The literal term "fallen angel" does not appear in any Abrahamic religious texts, but is used
Fallen_angel
Mathematical game/problem
problem was missile guidance systems formulated by Rufus Isaacs at the RAND Corporation. Angel problem Chases and Escapes Homicidal chauffeur problem
Pursuit–evasion
Dismissive figure of speech
people's money Sheeple Seventeen reasons why the squatter problem can't be solved, S Angel, S Benjamin - Ekistics, 1976 Blackwell, Alan F.; Arnold, H
Somebody_else's_problem
American drama television series (1994–2003)
Touched by an Angel is an American drama television series that premiered on CBS on September 21, 1994, and ran for 211 episodes over nine seasons until
Touched_by_an_Angel
2025 American comedy film
follows an angel named Gabriel (Reeves), whose failed attempt to show Arj (Ansari), a struggling man, that money does not solve one's problems—by swapping
Good_Fortune_(film)
British television reality series
series, which follows the story of couple Dick Strawbridge and Angela ("Angel") Adoree and their family as they bought and renovated the 19th-century
Escape_to_the_Chateau
1984 single by Amy Grant
God has His angels watching over believers, to guide and protect them in times of fear, doubt, confusion, or temptation. "Angels" Problems playing this
Angels_(Amy_Grant_song)
American crime drama television series (1976–1981)
Charlie's Angels is an American crime drama television series created by Ivan Goff and Ben Roberts for ABC. It originally aired from September 22, 1976
Charlie's_Angels
A list of all Galaxy Angel episodes from the various seasons. Galaxy Angel A and AA are both considered to be Galaxy Angel series three. Aside from their
List_of_Galaxy_Angel_episodes
Mexican drug lord (born 1946)
Miguel Ángel Félix Gallardo (born January 8, 1946), is a Mexican convicted drug lord who was one of the founders of the Guadalajara Cartel, which controlled
Miguel_Ángel_Félix_Gallardo
American television series (1999–2004)
Angel is an American supernatural drama television series, a spinoff of Buffy the Vampire Slayer. The series was created by Buffy's creator, writer and
Angel_(1999_TV_series)
Heavenly beings found in the Islamic tradition
In Islam, angels (Arabic: ملاك٬ ملك, romanized: malāk; plural: ملائِكة, malāʾik/malāʾikah or Persian: فرشته, romanized: ferešte) are believed to be heavenly
Angels_in_Islam
American actress (born 1967)
series A Different World. She also appeared in the psychological horror film Angel Heart (1987), which earned her a nomination for the Saturn Award for Best
Lisa_Bonet
2013 song by Azealia Banks
"No Problems" is a song released by American rapper Azealia Banks. It is a diss track aimed at American rapper Angel Haze. It was released on January 4
No_Problems
2004 studio album by Gwen Stefani
Love. Angel. Music. Baby. is the debut solo studio album by American singer Gwen Stefani, released on November 12, 2004, by Interscope Records. Stefani
Love._Angel._Music._Baby.
American adult animation TV series
Xavier: Renegade Angel is an American adult animated black comedy television series created by Vernon Chatman and John Lee for Cartoon Network's nighttime
Xavier:_Renegade_Angel
2022 American film by D. J. Caruso
wife, falls in love with Angel at first sight. The brothel's bodyguard MacGowen and the madam Duchess frequently abuse Angel. In flashbacks, her name
Redeeming_Love_(2022_film)
2024 film by Jon Gunn
Ordinary Angels is a 2024 American Christian drama film. Directed by Jon Gunn and written by Meg Tilly and Kelly Fremon Craig, it is based on true events
Ordinary_Angels_(film)
Category of routing problem minimizing total distance and time
the Downhill Plowing Problem (DPP). A branch and cut algorithm was published by Angel Corberan for the windy postman problem. The algorithm is based
Arc_routing
2007 as a canonical continuation of the series. Dark Horse published two Angel comic series, the first of which was halted after 17 issues while the second
List_of_Buffyverse_comics
American actor (born 1969)
vampire-turned-private investigator Angel on The WB/UPN supernatural drama television series Buffy the Vampire Slayer (1997–2003) and its spin-off Angel (1999–2004); FBI
David_Boreanaz
Ethical problem in religion
The problem of Hell is an ethical problem in the Abrahamic religions of Christianity and Islam, in which the existence of Hell or Jahannam for the punishment
Problem_of_Hell
American music ensemble
they conceded that it was "a good album". "Blue Angel" Sample of Antony & the Johnsons Blue Angel Problems playing this file? See media help. Following the
Anohni_and_the_Johnsons
2024 film by Austin Peters
grow closer, she tells him that Angel continues to be a problem, and Jordan promises to deal with it. He goes to Angel's salon, but instead of confronting
Skincare_(film)
British TV sitcom (1983–1985)
No Problem! is a Channel 4 sitcom that ran from 7 January 1983 to 1 June 1985, created by the Black Theatre Co-operative. The show was written by Farrukh
No_Problem!_(TV_series)
2025 EP by Aerosmith and Yungblud
Joe Perry called "amazing". "My Only Angel" is a rock track with lyrics focusing on loss of a loved one. "Problems" takes its riff from Boston's hit "More
One More Time (Aerosmith and Yungblud EP)
One_More_Time_(Aerosmith_and_Yungblud_EP)
Hentai manga series and OVA
Shogakukan and the tankōbon became banned. The problem centered in housewives who believed that Angel was too sexually explicit for a seinen publication
Angel_(manga)
American outlaw biker (1938–2022)
charter of the Hells Angels in 1957. After forming the Oakland charter, Barger was instrumental in unifying various disparate Hells Angels charters and had
Sonny_Barger
15th episode of the 3rd season of Angel
informing him that arrangements have been made to deal with their Angel problem. Aubrey returns to the office and thanks Wesley for his help in destroying
Loyalty_(Angel)
2007 Belgian film
by Romola Garai." Whilst also stating that "The film's biggest problem is that Angel is such a thoroughly obnoxious character that it's impossible to
Angel_(2007_film)
American singer (born 2006)
Are True"". VIBE.com. Retrieved 2024-08-16. Diaz, Angel (2024-08-16). "Laila! Drops 'Not My Problem' Video, Announces Debut Album 'Gap Year!'". Billboard
Laila!
American actor (born 1968)
Red Line (1998), Detective John Sullivan in Frequency (2000), Catch in Angel Eyes (2001), and Edmond Dantès in The Count of Monte Cristo (2002). Caviezel
Jim_Caviezel
Dominican-American baseball player (born 1980)
Baseball (MLB) for the St. Louis Cardinals, Los Angeles Angels of Anaheim / Los Angeles Angels, and Los Angeles Dodgers. Nicknamed "the Machine" (Spanish:
Albert_Pujols
2023 studio album by Stephen Sanchez
and the 13 songs gathered on Angel Face are designed to show it off to its very best advantage", although "the problem with making a record that sounds
Angel_Face_(album)
Dark Angel is an American television series created by James Cameron and Charles H. Eglee. The series premiered in the United States on the Fox network
List_of_Dark_Angel_characters
2010 studio album by Marah
Life is a Problem is an album by Marah, released in 2010. Muskie Moon Valley Farm Song Within the Spirit Sagging Life Is a Problem High Water Put Em In
Life_Is_a_Problem
1999 studio album by Dido
described the song as reminiscent of The Corrs. Problems playing this file? See media help. No Angel is, according to critical commentaries, predominantly
No_Angel
2000 film directed by McG
Charlie's Angels is a 2000 American spy action comedy film directed by McG in his feature-film directorial debut, and written by Ryan Rowe, Ed Solomon
Charlie's_Angels_(2000_film)
World War I fiction and accidental hoax
The legend of the Angels of Mons (German: Die Legende der Engel von Mons, or simply Die Engel von Mons) is one of many stories of the reputed appearance
Angels_of_Mons
Painting by Johann Georg Melchior Schmidtner
circle of stars. The Holy Spirit in the form of a dove hovers above, as angels surround her. She is focused on untying knots in a long ribbon, while her
Mary,_Untier_of_Knots
American businessman
(born November 28, 1970) is an American podcaster, Internet entrepreneur, angel investor, and author. His first company was part of the dot-com era in New
Jason_Calacanis
American singer-songwriter
record producer Dave Cobb, who produced Carmichael's debut album Hell on an Angel in 2018. On August 21, 2018, Carmichael made his Grand Ole Opry debut. He
Dillon_Carmichael
1970 film
The Angel Levine is a 1970 American drama film directed by Ján Kadár and starring Zero Mostel, Harry Belafonte, Ida Kamińska, Milo O'Shea, and Gloria
The_Angel_Levine
1982 Irish film
Angel (U.S. title: Danny Boy) is a 1982 Irish film written and directed by Neil Jordan and starring Stephen Rea. The film was Neil Jordan's directorial
Angel_(1982_Irish_film)
1998 single by Massive Attack
"Angel" is a song by English trip hop group Massive Attack, featuring the vocals and songwriting from Horace Andy, and is partially based on Andy's song
Angel_(Massive_Attack_song)
Australian rock band
legal problems with similarly named acts in the international market, their records have been released under the names Angel City and later the Angels from
The_Angels_(Australian_band)
1946 film directed by Archie Mayo
Angel on My Shoulder is a 1946 American supernatural film starring Paul Muni, Anne Baxter and Claude Rains. The plot involves a deal between the Devil
Angel_on_My_Shoulder
Dark fantasy television series (2005–2020)
Winchesters and occasionally helps them out with technical problems and hunts. Season 9 introduces the angel Gadreel, who originally poses as Ezekiel, played by
Supernatural (American TV series)
Supernatural_(American_TV_series)
2001 film by John Irvin
The Fourth Angel is a 2001 British-Canadian thriller film directed by John Irvin and starring Jeremy Irons, Forest Whitaker, Jason Priestley and Charlotte
The_Fourth_Angel
American science fiction action drama television series
Dark Angel is an American science fiction action drama television series that aired on Fox from October 3, 2000, to May 3, 2002. Created by James Cameron
Dark Angel (American TV series)
Dark_Angel_(American_TV_series)
Pilot episode of Angel
Cordelia convinces Angel that she, Angel and Doyle should start up an agency to help people having supernatural or demonic problems. While drowning his
City_Of
American actress (born 1960)
Bertinelli earned adult stardom with the religious drama series Touched by an Angel (2001–2003) and the sitcom Hot in Cleveland (2010–2015), netting her a SAG
Valerie_Bertinelli
is a problem. Castiel asks why Dumah cannot just send angels to search for Gabriel before Naomi appears and tells him that she and the other angels cannot
List of Supernatural and The Winchesters characters
List_of_Supernatural_and_The_Winchesters_characters
Mythological and religious figure
Lucifer is believed to be a fallen angel and the Devil in Christian theology. Lucifer is associated with the sin of pride and believed to have attempted
Lucifer
English–Irish boy band
on the UK singles chart. On March 6, they released their second single, "Angel." The group released their third single, "Infinity (123)," on 16 May 2026
December_10_(band)
Hebrew religious text ascribed to Enoch
contains unique material on the origins of demons and Nephilim, why some angels fell from heaven, an explanation of why the Genesis flood was morally necessary
Book_of_Enoch
Character in the television series Angel
a fictional character created by Joss Whedon for the television series Angel. The character was portrayed by Glenn Quinn. Doyle is a seer who receives
Allen_Francis_Doyle
Japanese anime television series
Angel Beats! is a 13-episode Japanese anime television series produced by P.A. Works and directed by Seiji Kishi. The story was originally conceived by
Angel_Beats!
American action horror film directed by Scott Stewart
follows a group of people as they attempt to protect an infant savior from angels and the possessed in an apocalypse. Legion was released to negative critical
Legion_(2010_film)
16th episode of the 3rd season of Angel
day to deal with the problem of Angel killing Connor before Holtz gets involved. Angel and the others return to the hotel, and Angel starts chugging blood
Sleep_Tight_(Angel)
American baseball player (born 1991)
1991) is an American professional baseball outfielder for the Los Angeles Angels of Major League Baseball (MLB). Trout is an 11-time All-Star, three-time
Mike_Trout
American actor and musician (born 1971)
entertainment industry, he has also faced public scrutiny over Corey's Angels and has also been accused of sexual misconduct. Feldman has released six
Corey_Feldman
Japanese visual novel series
Djibril The Devil Angel (魔界天使ジブリール, Makai Tenshi Jiburīru (Makai Tenshi Djibril)) is an eroge visual novel series created by Frontwing composed of the
Djibril_–_The_Devil_Angel
Fictional character
Angelo "Angel" Juan Marcos Batista (/ˈeɪndʒəl/; Spanish [ˈaŋxel]) is a fictional character in the Showtime television series Dexter and the novels by
Angel_Batista
1960 single by Rosie and the Originals
"Angel Baby" is a 1960 single by Rosie and the Originals. The group recorded the song independently on a two-track machine, located in a facility in the
Angel Baby (Rosie and the Originals song)
Angel_Baby_(Rosie_and_the_Originals_song)
School shooting in Mexico in 2020
On 10 January 2020, an 11-year-old student identified as José Ángel Ramos Betts, armed with two guns, opened fire at the facilities of Colegio Cervantes
Colegio_Cervantes_shooting
First-century Jewish preacher and religious leader
etymological significance of Jesus's name explicitly in the prophecy of the angel to Joseph about his birth: "you will call his name Jesus (Ἰησοῦς), for he
Jesus
Conflict between Armenia and Azerbaijan
Fabio Massimo; BIELAN, Adam; FIDANZA, Carlo; WEIMERS, Charlie; DZHAMBAZKI, Angel; KANKO, Assita; BRUDZIŃSKI, Joachim Stanisław; KRUK, Elżbieta; ZALEWSKA
Nagorno-Karabakh_conflict
Food rescue organization in Hong Kong
to grow, it began addressing other food-related social problems, such as poverty. Food Angel works with 150 partners. The goal of the organization is
Food_Angel
Morbid Angel is an American death metal band from Tampa, Florida. Formed in 1983, the group was originally a trio featuring bassist and vocalist Dallas
List_of_Morbid_Angel_members
Irredentist Latino attorney and academic (born 1944)
José Angel Gutiérrez (born October 25, 1944) is an attorney and professor at the University of Texas at Arlington in the United States. He was a founding
José_Ángel_Gutiérrez
19th episode of the 1st season of Angel
kill her, Angel takes Faith to his apartment. In a brief, violent vision, Faith charges at Angel with a knife and cuts up his face. When Angel comes up
Sanctuary_(Angel)
American actor (1948–2003)
Broadway, with roles including adult Ben Hanscom in It (1990), Problem Child (1990), Problem Child 2 (1991), a dramatic turn in Sling Blade (1996), and Bad
John_Ritter
Association football club in Tonbridge, England
the club finished. Another major problem loomed soon after. The club's landlords, the local council, wanted the Angel Ground for development. A battle
Tonbridge_Angels_F.C.
Japanese manga
Angel/Dust Neo (エンジェル/ダスト neo, Enjyeru/Dasuto neo) is a Japanese manga created by Aoi Nanase and the sequel to Angel/Dust. In this manga, Aoi Nanase revisits
Angel/Dust_Neo
Episode of Dexter: Original Sin
"The Big Bad Body Problem" is the seventh episode of the American crime drama mystery television series Dexter: Original Sin, prequel to Dexter. The episode
The_Big_Bad_Body_Problem
2000 novel by Francine Prose
Blue Angel is a novel written by author Francine Prose that was published in the year 2000. The novel is about the complex relationship between Ted –
Blue_Angel_(novel)
Filipino actress (born 1985)
21, 2022. Pasajol, Anne (March 31, 2022). "Angel Locsin no plans on having baby yet due to thyroid problem". INQUIRER.net. Archived from the original
Angel_Locsin
1980 American TV series or program
Angel City is a 1980 American drama television film directed by Philip Leacock and starring Ralph Waite, Paul Winfield, Jennifer Warren, Jennifer Jason
Angel_City_(film)
Most populous city in California, U.S.
Señora la Reina de los Ángeles, 'The Town of Our Lady the Queen of the Angels'. The original name of the settlement is disputed; the Guinness Book of
Los_Angeles
2018 film
Sorry Angel (French: Plaire, aimer et courir vite) is a 2018 French romantic drama film directed by Christophe Honoré. It was selected to compete for
Sorry_Angel
Colombian footballer (born 2003)
level, Ángel was left out of the squad ahead of the 2023 South American U-20 Championship, with manager Héctor Cárdenas stating that he had problems coexisting
Tomás_Ángel
American singer and actress (born 1993)
which both achieved international success, spawning the hit singles "Problem", "Break Free", "Bang Bang", "One Last Time", "Into You", and "Side to
Ariana_Grande
Light novel series
with angelic power accompanied by her whimsical personal chant of "Pipiru-piru-piru-pipiru-pii". This repeated trauma, along with myriad other problems she
Bludgeoning_Angel_Dokuro-chan
American actor (born 1941)
Squad (2013), A Walk in the Woods (2015), Head Full of Honey (2018), and Angel Has Fallen (2019). His television credits include the HBO series Luck (2011–2012)
Nick_Nolte
American actress and model (born 1998)
Am I Alive Now?" the following year. She became the new face of Mugler's Angel perfume in 2023 and one of their ambassadors. Schafer starred in the 2023
Hunter_Schafer
ANGEL PROBLEM
ANGEL PROBLEM
Boy/Male
American, Danish, French, German, Greek, Indian, Italian, Spanish
Angel
Female
English
Feminine form of Latin Angelus, ANGELA means "angel, messenger."
Boy/Male
American, British, Danish, English, French, German, Greek, Hindu, Indian, Latin, Spanish
Messenger of God; Angel; Messenger
Female
English
English unisex name derived from Latin Angelus, ANGEL means "angel, messenger."Â Originally a male name, it is now almost strictly female.
Girl/Female
Greek American Italian Latin
Messenger or angel. A popular masculine name in Sicily after the 13th-century saint, Angel. Angel...
Girl/Female
French Spanish American Italian Latin Greek
Angel.
Girl/Female
Afghan, American, British, Christian, English, Finnish, French, Greek, Indian, Irish, Lebanese, Polish, Portuguese, Romanian, Spanish, Swedish, Tamil
Heavenly Messenger; Angel; Messenger from God
Male
English
English unisex name derived from Latin Angelus, ANGEL means "angel, messenger." Once used as a man's name in England. It is now almost strictly a feminine name.
Male
French
French name ANGE means "angel, messenger." Compare with feminine Ange.
Boy/Male
German, Swedish
Angel; Bright Angle
Boy/Male
Spanish American Greek Latin
Angel.
Surname or Lastname
English
English : from Middle English angel ‘angel’ (from Latin angelus), probably applied as a nickname for someone of angelic temperament or appearance or for someone who played the part of an angel in a pageant. As a North American surname it may also be an Americanized form of a cognate European surname, as for example Italian Angelo, Rumanian Anghel, Czech Anděl, or Hungarian Angyal.German : ethnic name for a member of a Germanic people on the Jutland peninsula; members of this tribe invaded eastern and northern Britain in the 5th–6th centuries and gave their name to England. See Engel.Slovenian (eastern Slovenia) : from the Latin personal name Angelus.
Male
Italian
Italian form of Latin Angelus, ANGELO means "angel, messenger."
Girl/Female
British, English, Greek, Latin
Angel
Female
English
English short form of Latin Angela, ANGE means "angel, messenger." Compare with masculine Ange.
Girl/Female
French
Angel.
Boy/Male
German
Angel.
Male
French
Variant spelling of French Ansel, ANCEL means "divine helmet."
Female
English
Feminine variant spelling of English unisex Angel, ANGELL means "angel, messenger."
Girl/Female
Anglo, Dutch, German
Angel
ANGEL PROBLEM
ANGEL PROBLEM
Boy/Male
Arabic
Servant; Worshipper of God; Hermit
Boy/Male
Hindu, Indian
The First Victory; Win
Girl/Female
Hindu
Name of a flower
Boy/Male
Arabic, Muslim
A Companion; Returning
Girl/Female
Italian Greek
Boy/Male
Tamil
Dwarakadas | தà¯à®µà®¾à®°à®•à®¾-தாஸ
Servant of dwarka
Girl/Female
Indian, Tamil
Truthful Girl
Boy/Male
Tamil
Mokshal | மோகà¯à®·à®¾à®²Â
Boy/Male
Australian, Czechoslovakian, Danish, French, German, Swedish
Great; Famous
Girl/Female
American, British, English, Finnish, Hebrew, Japanese
Variant of the Hebrew Jordan; Down Flowing; Flowing Down; Descending
ANGEL PROBLEM
ANGEL PROBLEM
ANGEL PROBLEM
ANGEL PROBLEM
ANGEL PROBLEM
n.
Attendant spirit; genius; demon.
a.
Angry; indicating anger; excited by anger.
v. i.
To use some bait or artifice; to intrigue; to scheme; as, to angle for praise.
n.
The angel fish (Squatina angelus).
n.
A good angel.
adv.
Like an angel.
n.
An appellation given to a person supposed to be of angelic goodness or loveliness; a darling.
n.
The black angel fish. See Angel fish, under Angel.
n.
The angel fish (Squatina).
v. t.
To excite to anger; to enrage; to provoke.
n.
A spiritual, celestial being, superior to man in power and intelligence. In the Scriptures the angels appear as God's messengers.
a. & adv.
Resembling an angel.
n.
An ancient gold coin of England, bearing the figure of the archangel Michael. It varied in value from 6s. 8d. to 10s.
v. i.
To fish with an angle (fishhook), or with hook and line.
n.
One of a class of "fallen angels;" an evil spirit; as, the devil and his angels.
a.
Belonging to, or proceeding from, angels; resembling, characteristic of, or partaking of the nature of, an angel; heavenly; divine.
n.
A messenger.
n.
A minister or pastor of a church, as in the Seven Asiatic churches.
n.
The difference of direction of two lines. In the lines meet, the point of meeting is the vertex of the angle.