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Pizza Race Problem  [PDF]
Keyue Gao
Mathematics , 2012,
Abstract: This paper deals with a problem in which two players share a previously sliced pizza and try to eat as much amount of pizza as they can. It takes time to eat each piece of pizza and both players eat pizza at the same rate. One is allowed to take a next piece only after the person has finished eating the piece on hand. Also, after the first piece is taken, one can only take a piece which is adjacent to already-taken piece. This paper shows that, in this real time setting, the starting player can always eat at least two-fifth of the total size of the pizza. However, this may not be the best possible amount the starting player can eat. It is a modified problem from an original one where two players takes piece alternatively instead.
Graph games and the pizza problem  [PDF]
Daniel E. Brown,Lawrence G. Brown
Mathematics , 2015,
Abstract: We propose a class of two person perfect information games based on weighted graphs. One of these games can be described in terms of a round pizza which is cut radially into pieces of varying size. The two players alternately take pieces subject to the following rule: Once the first piece has been chosen, all subsequent selections must be adjacent to the hole left by the previously taken pieces. Each player tries to get as much pizza as possible. The original pizza problem was to settle the conjecture that Player One can always get at least half of the pizza. The conjecture turned out to be false. Our main result is a complete solution of a somewhat simpler class of games, concatenations of stacks and two-ended stacks, and we provide a linear time algorithm for this. The algorithm and its output can be described without reference to games. It produces a certain kind of partition of a given finite sequence of real numbers. The conditions on the partition involve alternating sums of various segments of the given sequence. We do not know whether these partitions have applications outside of game theory. The algorithm leads to a quadratic time algorithm which gives the value and an optimal initial move for pizza games. We also provide some general theory concerning the semigroup of equivalence classes of graph games.
The fair and random maximal division of "pizza"  [PDF]
Floyd E. Brown,Anant P. Godbole
Mathematics , 2005,
Abstract: Consider n straight line cuts of a circular pizza made so as to maximize the number of pieces. We investigate how fair such a maximal division may be and how many slices are obtained if the cuts are successfully made with a certain probability.
Colonialidad y género  [cached]
MARíA LUGONES
Tabula Rasa , 2008,
Abstract: Este artículo investiga la interseccionalidad entre raza, clase, género y sexualidad con el objetivo de entender la preocupante indiferencia que los hombres muestran hacia las violencias que sistemáticamente se infringen sobre las mujeres de color, es decir, mujeres no blancas víctimas de la colonialidad del poder e, inseparablemente, de la colonialidad del género. El artículo se inserta dentro de la tradición de pensamiento de mujeres de color que han creado análisis críticos del feminismo hegemónico precisamente por ignorar la interseccionalidad de raza/clase/sexualidad/género. Busca entender la forma en que se construye esta indiferencia de los hombres para, así convertirla en algo cuyo reconocimiento sea ineludible para quienes están involucrados en luchas liberadoras. Se discute en detalle una manera otra, muy distinta de los feminismos occidentales, de entender el patriarcado desde la colonialidad del género. La autora nos invita a pensar en la cartografía del poder global desde lo que llama el Sistema Moderno/Colonial de Género.
Solution of Peter Winkler's Pizza Problem  [PDF]
Josef Cibulka,Jan Kyn?l,Viola Mészáros,Rudolf Stola?,Pavel Valtr
Computer Science , 2008, DOI: 10.1007/978-3-642-13580-4_4
Abstract: Bob cuts a pizza into slices of not necessarily equal size and shares it with Alice by alternately taking turns. One slice is taken in each turn. The first turn is Alice's. She may choose any of the slices. In all other turns only those slices can be chosen that have a neighbor slice already eaten. We prove a conjecture of Peter Winkler by showing that Alice has a strategy for obtaining 4/9 of the pizza. This is best possible, that is, there is a cutting and a strategy for Bob to get 5/9 of the pizza. We also give a characterization of Alice's best possible gain depending on the number of slices. For a given cutting of the pizza, we describe a linear time algorithm that computes Alice's strategy gaining at least 4/9 of the pizza and another algorithm that computes the optimal strategy for both players in any possible position of the game in quadratic time. We distinguish two types of turns, shifts and jumps. We prove that Alice can gain 4/9, 7/16 and 1/3 of the pizza if she is allowed to make at most two jumps, at most one jump and no jump, respectively, and the three constants are the best possible.
How to eat 4/9 of a pizza  [PDF]
Kolja Knauer,Piotr Micek,Torsten Ueckerdt
Computer Science , 2008,
Abstract: Given two players alternately picking pieces of a pizza sliced by radial cuts, in such a way that after the first piece is taken every subsequent chosen piece is adjacent to some previously taken piece, we provide a strategy for the starting player to get 4/9 of the pizza. This is best possible and settles a conjecture of Peter Winkler.
Memorias impuestas  [cached]
Silvia Pinchanski Fachler,Eugenia M Víquez Hidalgo,Carmen M Zeledón Grande
Medicina Legal de Costa Rica , 2004,
Abstract: Este artículo se basa en una recolección bibliográfica que explora el tema de "Implantación de Memorias ó Memorias Falsas" Los cuestionamientos constantes a las víctimas de traumas, especialmente aquellos que conllevan una agresión sexual, ha sido uno de los temas que más trae polémicas en las cortes. Los ataques a los recuerdos y la credibilidad de los relatos de las víctimas es el tema central de tales cuestionamientos. Estos ataques incluyen no solo a la misma víctima, sino también a terapeutas, maestros, entrevistadores y hasta sus propias madres o abuelos, entre otros; convirtiéndose en una necesidad medular actualizarse en el tema. This article is based on a recollection of literature that explores the theme "Implantation of Memories or False Memories". The constant questioning to trauma victims, especially to those that have been victims of sexual aggression, has been one of the themes that causes most controversy in courts. The attacks to the memories and the credibility of the stories of the victims are the central theme to those questionings. These attacks include not only the victim itself, but also the therapists, teachers, interviewers, and even their own mothers and grandparents, among others; being a transcendental issue to be updated in the subject.
The impact of beer type, pizza spiciness and gender on match perceptions  [PDF]
Harrington, Robert J.,Miszczak, Daniel C.,Ottenbacher, Michael C.
PASOS : Revista de Turismo y Patrimonio Cultural , 2008,
Abstract: This exploratory study surveys preferences of participants towards pairing three categories of beer (lager, ale and stout) with a non-spicy and spicy pizza. The goals of this study are to determine the level of a ‘just right’ match of pizza style with each beer type, determine any differences by gender, and to explore if spice has an impact on participants’ beer selection and beer preference. Implications of this research apply to restaurateurs’ ability to appropriately cater their beer and pizza offerings in terms of menu design and pro-duct delivery.
Michel foucault y la colonialidad del poder  [cached]
Santiago Castro-Gómez
Tabula Rasa , 2007,
Abstract: Al contrario de gran parte de los planteamientos asociadas a corrientes de los estudios postcoloniales y a algunas vertientes del enfoque de la modernidad/colonialidad, en este artículo se argumenta la relevancia una teoría heterárquica del poder inspirada en las Lecciones del College de France menos conocidas de Foucault para comprender las articulaciones en diferentes planos del sistema mundo moderno colonial.
Anti-staphylococcal effectiveness of nisaplin in refrigerated pizza doughs
Freitas, Wilma Carla de;Souza, Evandro Leite de;Sousa, Cristina Paiva de;Travassos, Ant?nio Eustáquio Resende;
Brazilian Archives of Biology and Technology , 2008, DOI: 10.1590/S1516-89132008000300021
Abstract: this study evaluated the effectiveness of nisaplin, commercial product having nisin as active component, in decreasing the staphylococcal population in refrigerated pizza doughs. the refrigerated pizza dough pieces randomly chosen were dipped in the solutions with nisaplin concentrations of 1.0 x 10-3 g and 1.0 x 10-2 g nisaplin/ml named for the treatment a and b and kept under refrigeration (7 °c ± 1 °c). on times 0, 15 and 30 days post treatment the staphylococcus spp. count was carried out. the results showed that both nisaplin treatments were able to reduce the staphylococcus spp. count (cfu/g) in the refrigerated pizza doughs. however, only treatment b showed statistically significant reducer effect (p < 0.05) on the count providing a decrease of 1.0 and 0.98 log cycles, respectively, after 15 and 30 days post treatment. these data suggest that nisin could appear as promising alternative to control the survival of the pathogen microorganisms in the foods, particularly, staphylococcus in the refrigerated pizza doughs.
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