scholarly journals Monte Carlo and analytical model predictions of leakage neutron exposures from passively scattered proton therapy

2013 ◽  
Vol 40 (12) ◽  
pp. 121714 ◽  
Author(s):  
Angélica Pérez-Andújar ◽  
Rui Zhang ◽  
Wayne Newhauser
2017 ◽  
Vol 18 (6) ◽  
pp. 200-205 ◽  
Author(s):  
Allison Toltz ◽  
Michaela Hoesl ◽  
Jan Schuemann ◽  
Jan Seuntjens ◽  
Hsiao-Ming Lu ◽  
...  

2021 ◽  
Vol 48 (4) ◽  
pp. 53-61
Author(s):  
Andrea Marin ◽  
Carey Williamson

Craps is a simple dice game that is popular in casinos around the world. While the rules for Craps, and its mathematical analysis, are reasonably straightforward, this paper instead focuses on the best ways to cheat at Craps, by using loaded (biased) dice. We use both analytical modeling and simulation modeling to study this intriguing dice game. Our modeling results show that biasing a die away from the value 1 or towards the value 5 lead to the best (and least detectable) cheating strategies, and that modest bias on two loaded dice can increase the winning probability above 50%. Our Monte Carlo simulation results provide validation for our analytical model, and also facilitate the quantitative evaluation of other scenarios, such as heterogeneous or correlated dice.


2015 ◽  
Vol 115 ◽  
pp. S271-S272
Author(s):  
E. Sterpin ◽  
G. Janssens ◽  
J. Smeets ◽  
F. Vander Stappen ◽  
D. Prieels ◽  
...  

2020 ◽  
Vol 152 ◽  
pp. S752-S753
Author(s):  
J. Gajewski ◽  
A. Schiavi ◽  
N. Krah ◽  
V. Patera ◽  
G. Vilches-Freixas ◽  
...  

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