Number Of Decks Research Articles

A Game-Theoretic Analysis of Baccara Chemin de Fer, II

In a previous paper, we considered several models of the parlor game baccara chemin de fer, including Model B2 (a 2×2484 matrix game) and Model B3 (a 25×2484 matrix game), both of which depend on a positive-integer parameter d, the number of decks. The key to solving the game under Model B2 was what we called Foster’s algorithm, which applies to additive 2×2n matrix games. Here “additive” means that the payoffs are additive in the n binary choices that comprise a player II pure strategy. In the present paper, we consider analogous models of the casino game baccara chemin de fer that take into account the 100α percent commission on Banker (player II) wins, where 0≤α≤1/10. Thus, the game now depends not just on the discrete parameter d but also on a continuous parameter α. Moreover, the game is no longer zero sum. To find all Nash equilibria under Model B2, we generalize Foster’s algorithm to additive 2×2n bimatrix games. We find that, with rare exceptions, the Nash equilibrium is unique. We also obtain a Nash equilibrium under Model B3, based on Model B2 results, but here we are unable to prove uniqueness.

Cruise Ship Travel and the Spread of COVID-19 – Australia as a Case Study

Introduction: Cruise ship linked COVID-19 outbreaks have been identified as a potential source of community transmission of COVID-19 in Australia and worldwide. The risk factors and potential mitigation around COVID-19 infections on cruise ships and communities is a research gap. Methods: A correlation and regression analyses for risk factors for COVID-19 attack rates oncruise ships worldwide with reported COVID-19 from January 1, 2020 to May 11, 2020 were performed, with a more detailed analysis done for Australia. Geospatial emerging hot spot analysis during key time periods was used to assess temporal trends in spatial clustering of COVID-19 cases related to two cruise ship events in NSW, Australia. Results: For 36 cruise ships with global COVID-19 cases, available cabins had a moderate inverse correlation with the attack rate (-0.4154; 95% CI [-0.0002, -0.00003], P < 0.0118). The number of cabins, the number of decks with cabins, and passenger-to-space ratio were significantly associated with attack rate, however, the duration at sea was not. By May 2020, cruise ship passengers made up 14.9% of COVID-19 cases in Australia and 27% of the COVID-19 related deaths. Emerging hot spots of community transmission in Sydney occurred during 1-2 incubation periods of two cruise ship events. Conclusion: Mitigation of risk on cruise ships should focus on spatial design and reducing crowding, including rapid surveillance and on-board testing. To mitigate this risk during the era of COVID-19, all passengers disembarking an infected ship should be quarantined for at least the 14-day window period and tested for COVID-19, regardless of symptoms. Vaccination should be a pre-requisite for travel of any kind once available.

Blast vibration dependence on total explosives weight in open-pit blasting

It is well established that the blast design parameters, namely explosives weight per delay, distance between the blast site and monitoring location, delay interval, total explosives detonated in a blasting round, velocity of detonation (VOD) of explosives, burden, spacing, explosive column length, top stemming length, number of decks and their length, transmitting media and its geology, and scattering in the delay time of detonators, influence blast-induced vibrations. A study was conducted to assess the effect of total weight of explosive detonated in the blasting round on the magnitude of blast vibrations at four big coal open-cast mines in India keeping all the parameters constant as stated above. Accordingly, experimental as well as production blasts were conducted at dragline and shovel benches. The results revealed that the magnitude of blast vibrations was influenced by the total amount of explosive detonated in a blasting round at shorter distances regardless of maximum explosives weight per delay. This paper describes the result of a study carried out to investigate these effects at open-cast projects in India. The study involved 60 blasts with varying blast designs and 498 vibration data were recorded.

A Matlab-Based Program for the Design And Simulation of Wet Cooling Towers

Computer based programs for education in chemical engineering has become an essential component to complete the program educational objectives and reach the student outcomes. There is a long list of chemical process simulators used as complement to traditional courses on process modeling, however, the field of chemical engineering cover a broad range of areas that make difficult the creation of a robust program that involve all the courses mainly the unit operations which is the heart of this discipline. The experience with these courses shows that there is still need for enhancement when trying to transfer the theoretic knowledge to computational trainings. In order to follow this line of transferring knowledge it is presented a registered application of a GUI in Matlab called CTw-UA v1.0 focused in humidification for the design of cooling towers, using the mass transfer fundamental equations for the design of cooling towers presented in highly relevant documents and popular academic books with some empirical information of different packings used in the industry. The operating conditions set by the user are the inlet and outlet temperatures of the liquid, the liquid flow, the dry and wet bulb temperatures of the inlet air, the type of packing and the relation (L/Gmin), and the outputs in the program are the number of decks of the packings, the efficiency of the tower, the air flow, the temperature profile of the air along the tower plotting the Mickley diagram, and the column dimensions, height and diameter. It was obtained the effect of the packing and inlet air conditions in the dimension of the tower, the variation of the height of the tower as a function of the outlet and inlet liquid temperatures for different packings and the variation of the efficiency and height of the tower as a function of the outlet liquid temperature. The software, which was accepted very well by a population of 90 students, was evaluated statistically in terms of clarity, precision and relevance with the application of a t test with a significance level of 5%.

HOW LONG CAN YOU ENJOY BLACKJACK WITH 100 CHIPS?

Gambling-related research has implications in financial area understandings and applications. Researches in this area usually focus on pathology, risk-taking, decision-making and addiction. Few works have been done to demonstrate the distribution of the playing time before players go bankrupt. One problem is that it is difficult to get statistics in real world gambling. In this paper, we do simulations in a Blackjack game with a selected strategy. We find the distribution of playing time before players lose a certain amount of money as a power law distribution, indicating the existence of very long playing time players. We also find that double is the most important factor that causes the fat tail. Comparison shows that when removing double, split and three to two payoff, Blackjack goes back to a random walk. The increase of the number of decks somewhat decreases the average playing time. Our results may have pathologic gambling intervention implications.

Knowledge base for the systematic design of wet cooling towers. Part II: Fill and other design parameters

This paper describes the final part of the detailed methodology for the thermal design of wet, counterflow and crossflow types of mechanical and natural draught cooling towers. This part includes the following design steps: the fill or packing, total packed height and the number of decks, water and air loading, pressure drop across the packing, natural draught tower, fan design for a mechanical draught cooling tower, blowdown and make-up water rate, water distribution systems and drift eliminators. Different empirical relations and assumptions are used in this part of the design procedure.