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Optimal Penney Ante Strategy via Correlation Polynomial Identities

Daniel Felix
2006 Electronic Journal of Combinatorics  
We offer a new proof of this result when $q \geq 3$ using correlation polynomial identities, and we complete the description of the second player's best strategy by characterizing the optimal leading letter  ...  In the game of Penney Ante two players take turns publicly selecting two distinct words of length $n$ using letters from an alphabet $\Omega$ of size $q$.  ...  Our approach uses a set of correlation polynomial identities which we provide in the next section.  ... 
doi:10.37236/1061 fatcat:bbmdj5epwnhnfp7i3kdudjsecy

The Penney's Game with Group Action [article]

Tanya Khovanova, Sean Li
2020 arXiv   pre-print
Introduction The Penney ante game, or Penney's game, is a two-player game with a fair coin.  ...  Optimal strategy for Bob Recall from Section 2 that for the game on words, Bob has a winning strategy.  ... 
arXiv:2009.06080v2 fatcat:5qell7jyubarndztgu34qeqafq

Game Theory and Topological Phase Transition [article]

Tieyan Si
2008 arXiv   pre-print
If the strategy manifold has nontrivial topology, the topological relation would put a constrain on the surviving strategies, the transition occurred under this constrain may be called a topological one  ...  If the strategy manifold is open and noncompact, phase transition is simply a game process, there is no table for topology.  ...  The players have to play many rounds of negotiation to find the optimal strategy.  ... 
arXiv:cond-mat/0601014v4 fatcat:jr3kb2dcgrgijfpvs5hmx3leey

Papers Read at the 27th Annual Meeting of the Psychonomic Society

1986 Bulletin of the Psychonomic Society  
), and identical repetition.  ...  Issues concerning optimal conditions for learning are considered.  ...  Saturday morning, [10] [11] [12] Chaired by Wayne Shebilske, Texas A&M University 10:45-10:55 (382) Testing Differences Among Correlated Proportions via 1" on Dichotomized Scores. RICHARD I.  ... 
doi:10.3758/bf03330150 fatcat:xt4bm2oruzct7chu57njr3zs6e

Predicting room acoustical behavior with the ODEON computer model

Graham Naylor, Jens Holger Rindel
1992 Journal of the Acoustical Society of America  
A trial-and-error procedure has been carried out with a numerical analysis tool to optimize the main electromechanical parts.  ...  The correlation between responses under monaural and binaural conditions. R. H.  ...  R., Via Cassia 1216, 00189 Rome, Italy), and D.L.  ... 
doi:10.1121/1.404931 fatcat:z4hbezklfzgu7hyy7qvos3wyo4

Modeling and experiments with low‐frequency pressure wave propagation in liquid‐filled, flexible tubes

Cato Bjelland, Leif Bjo/rno/
1992 Journal of the Acoustical Society of America  
A trial-and-error procedure has been carried out with a numerical analysis tool to optimize the main electromechanical parts.  ...  The correlation between responses under monaural and binaural conditions. R. H.  ...  R., Via Cassia 1216, 00189 Rome, Italy), and D.L.  ... 
doi:10.1121/1.404777 fatcat:xhmwz65h5bbqxbt52khae2rq7q

Treatment of early and late reflections in a hybrid computer model for room acoustics

Graham Naylor
1992 Journal of the Acoustical Society of America  
A trial-and-error procedure has been carried out with a numerical analysis tool to optimize the main electromechanical parts.  ...  The correlation between responses under monaural and binaural conditions. R. H.  ...  R., Via Cassia 1216, 00189 Rome, Italy), and D.L.  ... 
doi:10.1121/1.404930 fatcat:xeehcxepjvhuzmnaeudpqxtnvu

Discrimination of short speech‐like formant transitions

Astrid van Wieringen, Louis C. W. Pols
1992 Journal of the Acoustical Society of America  
A trial-and-error procedure has been carried out with a numerical analysis tool to optimize the main electromechanical parts.  ...  The correlation between responses under monaural and binaural conditions. R. H.  ...  When identical shells are excited by identical ring forces, the "full elastic" and "thin shell" models exhibit the same modes of wave propagation, with slightly different amplitudes of response.  ... 
doi:10.1121/1.405128 fatcat:dbtewzqvijhkta6op7ul3ribti

35th Meeting of the Canadian Congress of Neurological Sciences June 13- 17, 2000 Ottawa, Ontario Program and Abstracts

2000 Canadian Journal of Neurological Sciences  
cranial nerves via mass effect.  ...  Confocal microscopy for synaptic and dendritic markers on autopsy brain sections revealed that decreases in microtubule-associated protein 2 (MAP2) and synaptophysin immunoreactivity correlate with ante-mortem  ...  However, with this method spinal cord repair strategies have often produced disparate results in animals subjected to the same repair strategy.  ... 
doi:10.1017/s0317167100000809 fatcat:xtkru7yagvcblps2llbjp6fe2u

Applications of quantitative methods and chaos theory in Ichnology for analysis of invertebrate behavior and evolution

James Richard Woodson Lehane
2014
The hapless ant then is eaten by the ant-lion.  ...  Whatever trends the graphoglyptids may have shown through time, it is still difficult to state that they were optimizing their feeding strategies due to the vagueness of the basic concept of optimization  ... 
doi:10.26053/0h-a8as-jb00 fatcat:clqp2r3agrh43ahwymf44uezea

Proceedings of the 16. Minisymposium Verfahrenstechnik & 7. Partikelforum (TU Wien, Sept. 21/22, 2020) [article]

Christian Jordan
2021
via Monte Carlo Raytracing.  ...  The Stochastic Gradient Descent (SGD) optimizer is used as standard optimizer and the Adam optimizer as advanced option [5] .  ... 
doi:10.34726/541 fatcat:tubmxpne5rb6lhdlwx6tot2wwm

Exciton center-of-mass motion in quantum wells and quantum wires

Anastassios Siarkos, Humboldt-Universität Zu Berlin, Humboldt-Universität Zu Berlin
2017
The center-of-mass optimization leads also to an analytical expression for an estimate of the exciton groundstate center-of-mass mass.  ...  High-quality numerical calculations of the exciton center-of-mass dispersion are achieved by optimizing the center-of-mass transformation, making use of an Ansatz for the dependence of the groundstate  ...  The latter is an extension for the multi-band case of the usual one-band transfer-matrix method often employed, e.g., in solving the Kronig-Penney model.  ... 
doi:10.18452/14570 fatcat:z33a6e4c2nckbhoaufg2t4yyuq

InGaAs-AlAs and InGaAs-InGaP Strain-Compensated Heterostructures for Short-Wavelength Intersubband Transitions and Lasers [article]

Mykhaylo Semtsiv, Humboldt-Universität Zu Berlin, Humboldt-Universität Zu Berlin
2017
Such a design strategy was exploited in the very first QCL (2) .  ...  This JDOS is symmetric (55) around E 2 − E 1 , which is not the case for the Kronig-Penney model (54) .  ... 
doi:10.18452/15127 fatcat:ksqn4buxijebxh45sbzd3tdl3i

Studies in Health Economics Modelling and Data Analysis of Costs and Survival ~ STOCKHOLM SCHOOL OF ECONOMICS Studies in Health Economics Modelling and Data Analysis of Costs and Survival

Mattias Ekman, 't~ Efi, Profsven-Erik Sjostrand, Adj Prof, Hans De Geer, Carin Holmquist, Nils Brunsson, Jan Lowstedt, Christer Karlsson, Proflennart Sjoberg, Profguje Sev6n, Adj Thorngren (+13 others)
unpublished
produce the optimal policy.  ...  The expressions obtained from the first order conditions of the optimization are finally rearranged to find a condition for the optimal allocation of health care resources.  ... 
fatcat:u4ro3i4bynatlc4w4s7zvw7fcu