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Division problem
The fair pie-cutting problem is a variation of the fair cake-cutting problem, in which the resource to be divided is circular. As an example, consider
Fair_pie-cutting
Fair division problem
Fair cake-cutting is a kind of fair division problem. The problem involves a heterogeneous resource, such as a cake with different toppings, that is assumed
Fair_cake-cutting
Problem of sharing resources
special case is when the cake is a circle; then the problem is called fair pie-cutting. Fair chore division – dividing a divisible, heterogeneous bad. Combinations
Fair_division
Process for fairly dividing resources
An envy-free cake-cutting is a kind of fair cake-cutting. It is a division of a heterogeneous resource ("cake") that satisfies the envy-free criterion
Envy-free_cake-cutting
"Frank Demmler's Home Page". www.andrew.cmu.edu. Retrieved 2016-11-14. "Cutting Up the Founder's Pie". www.andrew.cmu.edu. Retrieved 2016-11-14. v t e
Founders'_Pie_Calculator
Rule for balancing a game with an advantage when going first
half, then the other person chooses which half to eat. The person cutting the pie, knowing that the other person will choose the larger piece, will make
Pie_rule
Envy-free solution to the cake-cutting problem
adapted for chore division - dividing a cake with a negative value. The Fair pie-cutting procedure provides a simpler solution to the same problem, using only
Stromquist moving-knives procedure
Stromquist_moving-knives_procedure
must contain at least n − 1 {\displaystyle n-1} intervals. Fair cake-cutting Fair pie-cutting Exact division Stone–Tukey theorem Stromquist, Walter; Woodall
Stromquist–Woodall_theorem
Type of fair division
Equitable (EQ) cake-cutting is a kind of a fair cake-cutting problem, in which the fairness criterion is equitability. It is a cake-allocation in which
Equitable_cake-cutting
Model of computation used by algorithms
using O(n log ε−1) RW queries. When the cake is circular (i.e., in fair pie-cutting), it is possible to compute a value between the MMS and the MMS-ε using
Robertson–Webb_query_model
English actress (born 1965)
Michael Hastings' The Cutting of the Cloth. Thaw has also worked in television since 1990, including in The Bill, Casualty, Pie in the Sky, Peak Practice
Abigail_Thaw
In the fair cake-cutting problem, the partners often have different entitlements. For example, the resource may belong to two shareholders such that Alice
Proportional cake-cutting with different entitlements
Proportional_cake-cutting_with_different_entitlements
Chinese political metaphor
cake more fairly (fair cake-cutting)", while the other says development should be focused on "baking a bigger cake (growing the pie)". Thirty years of
Cake_theory
Scientific tests related to game theory
situation in Nigeria. Walsh developed several algorithms for online fair cake-cutting. He tested them using a computerized simulation: valuation functions
Fair_division_experiments
and at least as good for all individual agents. In the context of fair cake-cutting, the following results are known (where k is the number of groups
Fair_division_among_groups
American comedian and actor (1926–2009)
(1953–1966), a series of comedy sketches frequently ending with Sales receiving a pie in the face, which became his trademark. From 1968 to 1975 he was a regular
Soupy_Sales
Cartographical error
reported that "very often maps of the Commonwealth ... are not graced with the fair island of Tasmania depicted on them." During the 1982 Commonwealth Games
Omission of Tasmania from maps of Australia
Omission_of_Tasmania_from_maps_of_Australia
Season of television series
Restaurant Location Specialty(s) The Blue Barn @ Minnesota State Fair Falcon Heights, Minnesota "Cowboy Dave's Cluck & Moo" – chunks of chicken thighs
Food_Paradise_season_8
American pastry chef (born 1977)
his home bowling alley. His sons and other family members rescued him by cutting him out of the machine. He underwent two emergency surgeries and several
Buddy_Valastro
Categorically organized list of food items
pudding Pie Aloo pie Apple pie Bakewell tart Banoffee pie Blueberry pie Bumbleberry pie Butter tart Cherry pie Chicken and mushroom pie Cream pie Banana
Lists_of_foods
Proposed reconstructed word list for the Proto-Indo-European language
is a table of many of the most fundamental Proto-Indo-European language (PIE) words and roots, with their cognates in all of the major families of descendants
Indo-European_vocabulary
Type of fair division
But such divisions can be used as subroutines for fair cake-cutting. In the problem of cake-cutting among families, there are n agents grouped into k
Consensus_splitting
1959 American plane crash
singer-songwriter Don McLean referred to it as such in his 1971 song "American Pie". At the time, Holly and his band, consisting of Waylon Jennings, Tommy Allsup
The_Day_the_Music_Died
research fields which were previously unrelated: fair cake-cutting and general equilibrium. Fair cake-cutting has been studied since the 1940s. There is a
Weller's_theorem
Artisanal restaurant in Manhattan, New York
mackerel in wasabi sauce, Creole-style stuffed tongue and anchovy onion pie. FOOD was considered to be an "active and dynamic site" which served nearly
FOOD (New York City restaurant)
FOOD_(New_York_City_restaurant)
Weakly optimal allocation of resources
scenario: there is a pie and three persons; the most equitable way would be to divide the pie into three equal portions. However, if the pie is divided in half
Pareto_efficiency
Scottish actor (born 1976)
Mastronardi e Ross McCall si sono lasciati (a un passo dalle nozze)?". Vanity Fair Italia (in Italian). 10 January 2022. Retrieved 30 December 2023. ItalianPostNews
Ross_McCall
Pizzeria in Brooklyn, New York
on March 17, 2022, at the age of 85. Prior to DeMarco's death, each pizza pie was handmade by him, and the pizzeria was closed whenever he was unavailable
Di_Fara_Pizza
Criterion of fair division
the same share of the pie, where the "pie" stands for the resources to be divided and a share is a homothetic reduction of the pie --- this is the same
Egalitarian_equivalence
Area of East London
Galmpton Gooseberry Pie Fair in Devon is still in existence, and other inns around the edge of Epping Forest were famed for pies (rabbit pie at The Reindeer
Wanstead
Game in economic experiments
player typically offers around 40% of the "pie," although the percentage tends to decrease with larger pie sizes and when the players lack experience
Ultimatum_game
Traditional song
Fair Mary of Wallington or Fair Lady of Wallington (Roud 59, Child 91) is a traditional English-language folk ballad. Francis James Child lists at least
Fair_Mary_of_Wallington
1960s American youth-oriented counter-cultural political party
December 20, 2017. Ghose, Dave. "An Oral History: The pieing of Gov. Jim Rhodes at the Ohio State Fair". Columbus Monthly. Archived from the original on September
Youth_International_Party
American musical comedy television series
Vulture, July 30, 2021 Armstrong, Vanessa. "Alan Cumming Might Bake You into a Pie in Next Season of Schmigadoon!" Archived March 8, 2023, at the Wayback Machine
Schmigadoon!
Cast of American crime drama TV series
which Ralph's involvement was key. Ralph purchases a prize racehorse named Pie-O-My from Hesh Rabkin. While Ralph only cares about the horse as a means
List of The Sopranos characters
List_of_The_Sopranos_characters
American business executive (born 1973)
business affairs within the company, with DoubleClick relying on him for cutting costs in the wake of the burst of the dot-com bubble. He became the vice
Neal_Mohan
of American cuisine, namely fast food. Along with fried chicken and apple pie, the hamburger has become a culinary icon in the United States. The hamburger's
History_of_the_hamburger
2001 film by Robert Luketic
script for Legally Blonde was edgy and raunchy in a similar vein to American Pie. The murder trial was not part of the plot and the film ended with Elle getting
Legally_Blonde
American multinational technology company
April 2020, due to the COVID-19 pandemic, Google announced several cost-cutting measures. These measures included slowing down hiring for the remainder
Banquet hall in Queens, New York
"Advertising: A Pop-Art Drive Is Bill of Fair". The New York Times. Retrieved September 9, 2024. "A Means of Creative Cost Cutting". The New York Times. July 16
Terrace_on_the_Park
2003 TV series
name, although she can get a little shy and sensitive at times. Huckleberry Pie (voiced by Daniel Canfield (season 1) and James Street (seasons 2-4): An
Strawberry Shortcake (TV series)
Strawberry_Shortcake_(TV_series)
American consumer electronics company
exemplified by negative responses to a 2019 announcement that Android 9.0 "Pie" updates to the Moto Z2 Force in the United States would only be available
Motorola_Mobility
gravesite along with Dwight (which culminates with the two singing "American Pie" together throughout the night and unintentionally dancing on her grave)
List of The Office (American TV series) characters
List_of_The_Office_(American_TV_series)_characters
2021 American drama television series
DWL's successful South Georgia State Fair show has been getting around and other people want a piece of the pie. Willie and the DWL owe a lot of people
Heels_(TV_series)
Flowering plant and fruit
The strong flavour means they can be added in small quantities to apple pies and jam. Adding a diced quince to apple sauce enhances the taste of the apple
Quince
Fictional character list
into Debbie's hands. Her drunken antics result in her being fired from the pie shop and being arrested for assaulting a neighbor. Eventually, Lip kicks
List of Shameless (American TV series) characters
List_of_Shameless_(American_TV_series)_characters
Crime, unlawful taking of personal property
doughnut a larceny, but not the rotating of a pie, as all of the doughnut is moved through rotation while the pie's exact center remains in the same place when
Larceny
Feast day of Saint Martin of Tours
including a procession led by the statue of Saint Martin. There is also a fair, and a show for local animals. Cooking chestnuts on the open fire was one
St._Martin's_Day
Season of television series
her own away from home than she did about Axl being on his own. 146 2 "Cutting the Cord" Danny Salles Rich Dahm September 30, 2015 (2015-09-30) 4X7102
The_Middle_season_7
Irish actress (1924–2017)
Feet. In Ireland, she became an original cast member of RTÉ's soap opera Fair City, playing Mary O'Hanlon from 1989 until 1995. Keogh also made a one-off
Doreen_Keogh
candidates of the Jamaat-e-Islami's primary nomination list are new, who have no pior experience of contesting a general election. The party sources say that it
2026 Bangladeshi general election
2026_Bangladeshi_general_election
English steeplejack, mechanic and television personality (1938–2004)
repairing the engine. The two sourced a replacement boiler from a local pork pie factory and re-installed the engine in Wales. Dibnah later won a prize for
Fred_Dibnah
American artist (1960–1988)
ALTERNATIVE TO GOD." In June 1978, Basquiat was expelled from City-As-School for pieing the principal. At 17, his father kicked him out of the house when he decided
Jean-Michel_Basquiat
1964 children's novel by Roald Dahl
an experimental stick of three-course dinner gum ending with a blueberry pie flavour, Veruca and her parents fall down a rubbish chute after she tries
Charlie and the Chocolate Factory
Charlie_and_the_Chocolate_Factory
Personifications of fate in Greek mythology
"righteousness", "order". Aša and its Vedic equivalent, Rta, are both derived from a PIE root meaning "properly joined, right, true". The word is the proper name
Moirai
American stew with chili peppers and meat
varieties of Meal, Ready-to-Eat (MRE). A Frito pie or walking taco, as it is called at festivals and county fairs in the midwest, typically consists of a small
Chili_con_carne
2001 film by Joe Johnston
2001). "American Pie 2 comes out on top". Entertainment Weekly. Retrieved November 25, 2022. "Box Office: Audiences Eat Up American Pie 2". ABC News. "Jurassic
Jurassic_Park_III
doll, peach, attractive girl cutie-pie Typically a young woman who is charming or attractive; also Cutesie pie cutting yourself a piece of cake Making yourself
Glossary of early twentieth century slang in the United States
Glossary_of_early_twentieth_century_slang_in_the_United_States
"Night Surfing" (ep. 3 and 4), "D.D.D.D." (ep. 5 and 6), "Strange Meat Pie" (ep. 8 and 9), "Seconds Fly" (ep. 10 and 11), and "404" (ep. 12); all themes
List_of_Dorohedoro_episodes
that appeared in "The Parkie Awards". The Promise Pie (voiced by J. G. Quintel) is the villain in "Pie Contest". He first appears inside a garbage can and
List of Regular Show characters
List_of_Regular_Show_characters
Species of plant
records of rosemary being properly naturalized in Britain until 1338, when cuttings were sent to Queen Philippa by her mother, Countess Joan of Hainault. It
Rosemary
industries. Various meat pies are consumed such as steak and kidney pie, shepherd's pie, cottage pie, Cornish pasty and pork pie. A quintessential British
Culture_of_the_United_Kingdom
American musician (1936–1959)
referred to by Don McLean as "The Day the Music Died" in his song "American Pie". During his short career, Holly wrote and recorded many songs. He is often
Buddy_Holly
American actress (1905–1965)
"[Wings is]...a man's picture and I'm just the whipped cream on top of the pie." The film went on to win the first Academy Award for Best Picture. In 1928
Clara_Bow
American influencer and professional boxer (born 1997)
3, 2018). "Highest-Paid YouTube Stars 2018: Markiplier, Jake Paul, PewDiePie And More". Forbes. * "The Worlds Highest-Paid YouTube Stars 2017 - 2017-12-07
Jake_Paul
Economic conflict since 2018
We also need to understand that we are not the only player vying for the pie...Of the 56 companies that relocated their production bases from China in
China–United_States_trade_war
Proof all ranked voting rules have spoilers
can choose between blueberry or apple pie. He orders apple. Soon the waitress comes back and explains cherry pie is also an option. Morgenbesser replies
Arrow's_impossibility_theorem
Species of plant
the soil is not well drained. But they are easily propagated from summer cuttings, and some cultivars are produced from seeds. Named cultivars include: 'Alba'
Salvia_officinalis
Fictional characters created by Kevin Smith
room of James Van Der Beek (of Dawson's Creek) and Jason Biggs (of American Pie), who happen to be playing Jay and Silent Bob in The Bluntman and Chronic
Jay_and_Silent_Bob
Food from the state of Ohio, US
least four regional pizza styles. Annual festivals include the Ohio State Fair, Oktoberfest Zinzinnati, and the Circleville Pumpkin Show. In addition to
Cuisine_of_Ohio
American crime drama television series by David Chase
on Ralph, averting bloodshed. Tony and Ralph invest in a racehorse named Pie-O-My, who wins several races and makes them both a great deal of money until
The_Sopranos
Marvel Studios film
Up Anger, featuring Malia J, which was suggested by Perception. "American Pie" by Don McLean and "Cheap Thrills" by Sia are also featured in the film.
Black_Widow_(2021_film)
American food and beverage manufacturer
dropping in 1970. Between 1973 and 1980, J.M. Smucker implemented cost-cutting measures to increase profit margins, acquiring manufacturing operations
The_J.M._Smucker_Company
the energy use is still going up as the rest of the family is led into cutting back as well. Eventually, Ronnie Anne discovers an unlikely source as to
List of The Loud House episodes
List_of_The_Loud_House_episodes
City in the West Bank, Palestine
statues, boxes, and crosses. Other industries include stone and marble-cutting, textiles, furniture and furnishings. Bethlehem factories also produce
Bethlehem
American artist and filmmaker (1928–1987)
priced between $1 and $5.75, ranged from comfort foods like shepherd's pie to desserts and mini omelets. While the project aimed to blend everyday dining
Andy_Warhol
U.S Armed conflict in South Asia
6 May 2012. Emma Graham-Harrison (6 July 2012). "'Bye-bye, Miss American Pie' – then US helicopter appears to fire on Afghans". The Guardian. London.
War in Afghanistan (2001–2021)
War_in_Afghanistan_(2001–2021)
Season of television series
The songs for the groups were the Four Tops' "I Can't Help Myself (Sugar Pie Honey Bunch)," The Temptations' "Get Ready," Barry Manilow's "Jump Shout
American_Idol_season_4
American animated television series
thinks he understands when Billy and Mandy say they "want" pie, meaning they "do not want" pie. However, Mandy then says that when she said it was Opposite
Grim_&_Evil
theme of this episode was pie, with some form of pie in every basket. Each round, the chefs were required to make a type of pie. 654 2 "Pickled Tricks"
List of Chopped episodes (season 41–present)
List_of_Chopped_episodes_(season_41–present)
Season of television series
Georgia Aussie meat pies. "Ned Kelly Pie" (hand-ground steak meat, egg, cheese, and bacon in a mini pie crust), "The Croc Hunter Pie" (filled with crocodile
Food_Paradise_season_4
American singer and actress (1963–2012)
Top40Weekly.com. July 24, 2024. Smith, Patricia (April 1, 1991). "Mom, apple pie and Whitney Houston in concert for troops". The Boston Globe. Vol. 239, no
Whitney_Houston
caused conflict on deck when the rest of the crew became concerned that cutting corners was compromising crew safety. Captain Keith Colburn of the Wizard
List of Deadliest Catch episodes
List_of_Deadliest_Catch_episodes
Meat dish
Foundation. November 2011. Retrieved 4 May 2017. "Cutting edge robots at Germany's first doner kebab fair". The Independent. Agence France-Presse. 28 March
Doner_kebab
1900 children's novel by L. Frank Baum
man who was able to give a decent reason as to why black birds cooked in a pie could afterwards get out and sing. Many of the characters, props, and ideas
The_Wonderful_Wizard_of_Oz
that T-Series would surpass PewDiePie in terms of subscriber count. The song was one of the first events in the PewDiePie vs T-Series competition, in which
List of notable YouTube videos
List_of_notable_YouTube_videos
American puppeteer (1936–1990)
with a cannon, struck in the head with a hammer or baseball bat, or have a pie thrown in his face. The Jim Henson Company has posted a short selection of
Jim_Henson
American comedian, actor and filmmaker (1926–2017)
neighborhood, including sneaking into kitchens to steal fried chicken and pies. He was expelled from Weequahic High School in the ninth grade and dropped
Jerry_Lewis
1998 single by Madonna
the fact that "[Madonna] brilliantly nestles a dewy love ballad within a cutting-edge electronic pop framework." He noted that "[one] can listen to this
The_Power_of_Good-Bye
Game in experimental economics
"responder"). The second choice is a more even division, giving a "fair" proportion of the initial pie to the responder, and keeping the rest for themself. The
Impunity_game
Machine capable of carrying out a complex series of actions automatically
rabota (работа) 'servitude,' from rabu 'slave'. From Old Slavic *orbu-, from PIE *orbh- 'pass from one status to another'. There is no consensus on which
Robot
"Spider-Man: Into the Spider-Verse: The End of Credits Scene, Explained". Vanity Fair. Condé Nast. Retrieved 20 September 2019. "Confirmed: Akshay Kumar will romance
List of films with post-credits scenes (2010s)
List_of_films_with_post-credits_scenes_(2010s)
8mm film loops (3m each) 1969 titles: Chromatography Using a Pie Plate / Planaria: Cutting for Regeneration Experiments / Neurospora Techniques Biology
List of Encyclopædia Britannica Films titles
List_of_Encyclopædia_Britannica_Films_titles
American politician and activist (born 1941)
Peter (May 5, 2015). "Bernie Sanders' Socialism Is as American as Apple Pie". HuffPost. Retrieved May 5, 2015. because the 73‑year[‑]old U.S. senator
Bernie_Sanders
Decorated tree associated with Christmas
"Yule-tree". The Vikings and Saxons worshiped trees. The story of Saint Boniface cutting down Donar's Oak illustrates the pagan practices in 8th century among the
Christmas_tree
Legume cultivated as a grain and oil crop
Cracker nuts Ground nut soup List of peanut dishes List of edible seeds Peanut pie Power snack Tanganyika groundnut scheme, a failure started in 1951 Universal
Peanut
and Are Gone" 2025 98th 0 1 Come See Me in the Good Light 2025 98th 0 1 Cutting Through Rocks 2025 98th 0 1 Butcher's Stain 2025 98th 0 1 Butterfly 2025
List of Academy Award–nominated films
List_of_Academy_Award–nominated_films
President of Mexico from 2018 to 2024
Retrieved 4 August 2006. "El PRD dice que López encabeza los sondeos a pie de urna y convoca a la población al Zócalo a las 23:00". Actualidad.terra
Andrés_Manuel_López_Obrador
People who are known for going barefoot
to have been the inspiration for Rubén Darío's poem, La bailarina de los pies desnudos ("The Barefoot Dancer"). Thamara de Swirsky (1888–1961) – Russian-born
List_of_barefooters
American political campaign
saying "Kamala should have been in a diner having a cup of coffee, an apple pie with a couple of the guys instead of Oprah and Beyoncé." Harris framed her
Kamala Harris 2024 presidential campaign
Kamala_Harris_2024_presidential_campaign
FAIR PIE-CUTTING
FAIR PIE-CUTTING
Male
Italian
Italian and Portuguese form of Latin Pius, PIO means "pious."
Girl/Female
Muslim
Pine tree. Fir.
Female
French
Feminine form of French Corneille, CORNÉLIE means "of a horn."
Female
French
Elaborated form of French Adèle, ADÉLIE means "noble sort."
Female
French
Feminine form of French Aurèle, AURÉLIE means "golden."
Female
Welsh
Welsh form of Greek Maria, MAIR means "obstinacy, rebelliousness" or "their rebellion."
Surname or Lastname
English and French
English and French : from Middle English pine, Old French pin, a topographic name for someone who lived by a conspicuous pine tree or in a pine forest. It may also be a Norman habitational name from any of various places named with this word, such as Le Pin in Calvados; in other cases it may originally have been a nickname for a tall man, one thought to resemble a pine tree.German : variant spelling of Peine.
Male
Hebrew
(×™Ö¸×ִיר) Variant spelling of Hebrew Yaiyr, YAIR means "whom God enlightens."Â
Female
French
French form of Latin Euphemia, EUPHÉMIE means "Well I speak."
Surname or Lastname
English
English : nickname meaning ‘handsome’, ‘beautiful’, ‘fair’, Middle English fair, fayr, Old English fæger. The word was also occasionally used as a personal name in Middle English, applied to both men and women.Irish : translation of Gaelic fionn ‘fair’, which Woulfe describes as ‘a descriptive epithet that supplanted the real surname’, or a reduced Anglicized form of Gaelic Mac F(h)inn, a variant of Mag Fhinn (see McGinn).
Boy/Male
British, Dutch, English, Greek
From the Pit
Female
French
French form of German Amalia, AMÉLIE means "work."
Male
English
Variant spelling of English Gare, GAIR means "spear."
Surname or Lastname
Dutch
Dutch : from a short form of the personal name Piet, Dutch form of Peter.English (West Midlands) : variant of Pea.
Female
Japanese
(ç†æµ) Japanese name RIE means "valued blessing."
Surname or Lastname
English (East Anglia)
English (East Anglia) : metonymic occupational name for a piper, from Middle English pipe ‘pipe’ (Old English pīpe). In some cases it may have been a topographic name from the same word in the sense ‘waterpipe’, ‘conduit’, ‘water channel’, or a habitational name from Pipe in Herefordshire or Pipehill in Staffordshire, near Lichfield (earlier Pipa), both named from this word.English (East Anglia) : occasionally from a personal name, Pipe, which is recorded in Domesday Book.
Boy/Male
Hindu, Indian
Cake; Pie
Surname or Lastname
English
English : from Middle English, Old French pie, pye ‘magpie’ (Latin pica), applied as a nickname for a talkative or thievish person. The modern English name of the bird, not found before the 17th century, is from the earlier dialect term maggot-pie, formed by the addition of Mag, Maggot, pet forms of the female personal name Margaret.Welsh : variant of Pugh.
Male
English
Pet form of English Philip, PIP means "lover of horses."
Surname or Lastname
Scottish spelling of Irish Hare.English
Scottish spelling of Irish Hare.English : nickname for someone with some peculiarity of the hair, from Middle English here ‘hair’.
FAIR PIE-CUTTING
FAIR PIE-CUTTING
FAIR PIE-CUTTING
FAIR PIE-CUTTING
FAIR PIE-CUTTING
FAIR PIE-CUTTING
FAIR PIE-CUTTING