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Intransitive Dice  [PDF]
Brian Conrey,James Gabbard,Katie Grant,Andrew Liu,Kent Morrison
Mathematics , 2013,
Abstract: We conjecture that the probability that a random triple of dice is intransitive is 1/4.
Zombie Dice: An Optimal Play Strategy  [PDF]
Heather L. Cook,David G. Taylor
Mathematics , 2014,
Abstract: We discuss the game of Zombie Dice, published by Steve Jackson Games. This game includes green, yellow, and red dice. Each die has brain, footprint, and shotgun symbols on it, with each color of dice having a different amount of each symbol. Out of the dice, three are randomly picked and rolled. The player plays as if he were the zombie, meaning that brains are wanted and shotguns are not. Footprints are rerolled if the player chooses to keep going and not score. One brain equals one point. If three shotguns are accumulated, then that player's turn is over and he loses all his brains for no points (busting). The objective of the game is to gain thirteen or more points. In this article, we investigate a model for deciding whether or not to continue rolling (if given the opportunity). With this model, we create a decision point given information about the current player's turn including the amount and color of dice left in the cup, color and number of footprints, and the current number of shotguns of the player. Examples will be shown to highlight the game and its strategy fashioned from the model.
Bifractality of the Devil's staircase appearing in the Burgers equation with Brownian initial velocity  [PDF]
E. Aurell,U. Frisch,A. Noullez,M. Blank
Physics , 1996, DOI: 10.1007/BF02732429
Abstract: It is shown that the inverse Lagrangian map for the solution of the Burgers equation (in the inviscid limit) with Brownian initial velocity presents a bifractality (phase transition) similar to that of the Devil's staircase for the standard triadic Cantor set. Both heuristic and rigorous derivations are given. It is explained why artifacts can easily mask this phenomenon in numerical simulations.
Quantum dice rolling  [PDF]
N. Aharon,J. Silman
Physics , 2009,
Abstract: A coin is just a two sided dice. Recently, Mochon proved that quantum weak coin flipping with an arbitrarily small bias is possible. However, the use of quantum resources to allow N remote distrustful parties to roll an N-sided dice has yet to be addressed. In this paper we show that contrary to the classical case, N-sided dice rolling with arbitrarily small bias is possible for any N. In addition, we present a six-round three-sided dice rolling protocol, achieving a bias of 0.181, which incorporates weak imbalanced coin flipping.
Sacks of dice with fair totals  [PDF]
Ian Morrison
Mathematics , 2014,
Abstract: A fair sack is a finite set of independent dice, not required to be fair and allowed to have any number of sides, for which all totals are equally likely. These have been studied for over 60 years. Most results restrict the possible orders of dice in such a sack and almost no examples were known. Building on a rather different approach due to Gasarch and Kruskal, we give an explicit construction of all such sacks.
RFIDice - Augmenting Tabletop Dice with RFID
Steve Hinske,Marc Langheinrich
Journal of Virtual Reality and Broadcasting , 2008,
Abstract: Augmented dice allow players of tabletop games to have the result of a roll be automatically recorded by a computer, e.g., for supporting strategy games. We have built a set of three augmented-dice-prototypes based on radio frequency identification (RFID) technology, which allows us to build robust, cheap, and small augmented dice. Using a corresponding readout infrastructure and a sample application, we have evaluated our approach and show its advantages over other dice augmentation methods discussed in the literature.
Radioactive Branching Using Dice  [PDF]
Sarmistha Sahu
Creative Education (CE) , 2012, DOI: 10.4236/ce.2012.35099
Abstract: Dice rolling (Emeric,1997) is a useful pedagogical tool (Arthur & Ian,2012; Todd, Clifton, Ingrid, Zdravko,2006)) to introduce students to the concepts and essential features of radioactivity. It can be extended to explain radioactive branching. In the process, the students learn about half life, decay constant and activity of a radioactive substance. Terms like stochastic processes, probability of decay, statistical fluctuations, and mutually exclusive processes; becomes clear in this process.
Cuboidal Dice and Gibbs Distributions  [PDF]
Wolfgang Riemer,Dietrich Stoyan,Danail Obreschkow
Statistics , 2013, DOI: 10.1007/s00184-013-0435-y
Abstract: What are the face-probabilities of a cuboidal die, i.e. a die with different side-lengths? This paper introduces a model for these probabilities based on a Gibbs distribution. Experimental data produced in this work and drawn from the literature support the Gibbs model. The experiments also reveal that the physical conditions, such as the quality of the surface onto which the dice are dropped, can affect the face-probabilities. In the Gibbs model, those variations are condensed in a single parameter, adjustable to the physical conditions.
Fragrance of Deliverance in the Slough of Agony in George Bernard Shaw’s The Devil’s Disciple
Noorbakhsh Hooti,Mojtaba Jeihouni
Studies in Sociology of Science , 2011, DOI: 10.3968/j.sss.1923018420110202.062
Abstract: The Irish dramatist George Bernard Shaw has been ranked by many as the greatest English playwright since Shakespeare and he is also the fine successor and the loyal disciple of Henrik Ibsen. The Devil’s Disciple, published in 1897, is one of Shaw’s three "Plays For Puritans" and his only full-length play with a purely American atmosphere which stabilized his career as a successful dramatist in English stage. The Devil’s Disciple shows the sense of resentment and fear that were felt during the American Revolution towards Britain’s imperialism. This study intends to search into the world of American colonists and manifests their sense of fear, meanwhile, focuses on the protagonist, Richard, who with the stability on his false identity jeopardizes his life in search of freedom for his nation in order to free them from the shackles of Britain. Key words: Nation; Self-sacrifice; Deliverance; The devil’s disciple; Britain; Imperialism
Rádice: passado e futuro
Santos, Alessandra Daflon dos;Jacó-Vilela, Ana Maria;
Psicologia & Sociedade , 2005, DOI: 10.1590/S0102-71822005000300004
Abstract: this paper presents "rádice" - a psychology magazine, published by psychologists from rio de janeiro between 1976 and 1981. this publication had a huge intellectual and emotional importance for a generation of psychology students graduated during the period of militar dictatorship in brazil. "rádice" offered to its readers papers on diverse and polemical themes, unusual to psychology publications of that epoch, such as political repression, nonhuman treatment in psychiatric hospitals, regulation of the psychologist profession, and corporal therapies. "rádice" was, like other small publications, part of the alternative press committee, and had an active participation on the political debates of that time. "rádice", thus, allows us to analyze the history of psychology in rio de janeiro, being one of the fews devices to present other ways of doing psychology.
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