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1

Bostrom, Nick. "The simulation argument." Philosophers' Magazine, no. 50 (2010): 28–29. http://dx.doi.org/10.5840/tpm20105041.

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2

Lewis, Peter J. "The Doomsday Argument and the Simulation Argument." Synthese 190, no. 18 (2013): 4009–22. http://dx.doi.org/10.1007/s11229-013-0245-9.

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3

Green, David W., Ronit Applebaum, and Simon Tong. "Mental simulation and argument." Thinking & Reasoning 12, no. 1 (2006): 31–61. http://dx.doi.org/10.1080/13546780500145686.

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4

Brueckner, Anthony. "The Simulation Argument again." Analysis 68, no. 299 (2008): 224–26. http://dx.doi.org/10.1111/j.1467-8284.2008.00742.x.

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5

Brueckner, A. "The Simulation Argument again." Analysis 68, no. 3 (2008): 224–26. http://dx.doi.org/10.1093/analys/68.3.224.

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6

Kipping, David. "A Bayesian Approach to the Simulation Argument." Universe 6, no. 8 (2020): 109. http://dx.doi.org/10.3390/universe6080109.

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The Simulation Argument posed by Bostrom suggests that we may be living inside a sophisticated computer simulation. If posthuman civilizations eventually have both the capability and desire to generate such Bostrom-like simulations, then the number of simulated realities would greatly exceed the one base reality, ostensibly indicating a high probability that we do not live in said base reality. In this work, it is argued that since the hypothesis that such simulations are technically possible remains unproven, statistical calculations need to consider not just the number of state spaces, but the intrinsic model uncertainty. This is achievable through a Bayesian treatment of the problem, which is presented here. Using Bayesian model averaging, it is shown that the probability that we are sims is in fact less than 50%, tending towards that value in the limit of an infinite number of simulations. This result is broadly indifferent as to whether one conditions upon the fact that humanity has not yet birthed such simulations, or ignore it. As argued elsewhere, it is found that if humanity does start producing such simulations, then this would radically shift the odds and make it very probably we are in fact simulated.
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7

Bostrom, N. "The Simulation Argument: some explanations." Analysis 69, no. 3 (2009): 458–61. http://dx.doi.org/10.1093/analys/anp063.

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8

Thomopoulos, Rallou, Nicolas Salliou, Carolina Abreu, Vincent Cohen, and Timothée Fouqueray. "Reduced Meat Consumption: from Multicriteria Argument Modelling to Agent-Based Social Simulation." International Journal of Food Studies 10, no. 1 (2021): 133–49. http://dx.doi.org/10.7455/ijfs/10.1.2021.a1.

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A second nutrition transition seems to be emerging towards more plant-based diets, curbing meat consumption in developed countries at the beginning of the 21st century. This shift suggests that rational arguments tend to influence an increasing number of individuals to adopt vegetarian diets. This work aimed to understand and simulate the impact of different types of messages on the choice to change food diets at the individual level, and the impact of the diffusion of opinions at the collective level. It provided two results: (1) a network of arguments around vegetarian diets is modelled using an abstract argumentation approach. Each argument, formalized by a node, was connected with other arguments by arrows, thus formalizing relationships between arguments. This methodology made it possible to formalize an argument network about vegetarian diets and to identify the importance of health arguments compared to ethical or other types of arguments. This methodology also identified key arguments as a result of their high centrality in being challenged or challenging other arguments. The results of constructing this argument network suggested that any controversy surrounding vegetarian diets will be polarized around such high centrality arguments about health. Even though few ethical arguments appeared in our network, the health arguments concerning the necessity or not of animal products for humans were indirectly connected with ethical choices towards vegetarian diets; (2) an agent-based simulation of the social diffusion of opinions and practices concerning meat consumption is then introduced. The purpose of this simulation was to capture the balance of vegetarian vs. meat-based diets. It contributes to modelling consumer choices by exploring the balance between individual values and external influences such as social pressure, communication campaigns and sanitary, environmental or ethical crises.
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9

Steinhart, Eric. "Theological Implications of the Simulation Argument." Ars Disputandi 10, no. 1 (2010): 23–37. http://dx.doi.org/10.1080/15665399.2010.10820012.

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10

Crawford, Lyle. "Freak Observers and the Simulation Argument." Ratio 26, no. 3 (2013): 250–64. http://dx.doi.org/10.1111/rati.12009.

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11

Saxe, Rebecca. "Against simulation: the argument from error." Trends in Cognitive Sciences 9, no. 4 (2005): 174–79. http://dx.doi.org/10.1016/j.tics.2005.01.012.

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12

Bostrom, Nick. "THE SIMULATION ARGUMENT: REPLY TO WEATHERSON." Philosophical Quarterly 55, no. 218 (2005): 90–97. http://dx.doi.org/10.1111/j.0031-8094.2005.00387.x.

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13

Bostrom, N., and M. Kulczycki. "A patch for the Simulation Argument." Analysis 71, no. 1 (2010): 54–61. http://dx.doi.org/10.1093/analys/anq107.

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14

Birch, Jonathan. "On the ‘Simulation Argument’ and Selective Scepticism." Erkenntnis 78, no. 1 (2012): 95–107. http://dx.doi.org/10.1007/s10670-012-9400-9.

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15

Ćirković, Milan M. "Linking simulation argument to the AI risk." Futures 72 (September 2015): 27–31. http://dx.doi.org/10.1016/j.futures.2015.05.003.

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16

Mizrahi, Moti. "THE FINE-TUNING ARGUMENT AND THE SIMULATION HYPOTHESIS." Think 16, no. 46 (2017): 93–102. http://dx.doi.org/10.1017/s1477175617000094.

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In this article, I propose that, in addition to the multiverse hypothesis, which is commonly taken to be an alternative explanation for fine-tuning, other than the design hypothesis, the simulation hypothesis is another explanation for fine-tuning. I then argue that the simulation hypothesis undercuts the alleged evidential connection between ‘designer’ and ‘supernatural designer of immense power and knowledge’ in much the same way that the multiverse hypothesis undercuts the alleged evidential connection between ‘fine-tuning’ and ‘fine-tuner’ (or ‘designer’). If this is correct, then the fine-tuning argument is a weak argument for the existence of God.
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17

GOLDMAN, A., and N. SEBANZ. "Simulation, mirroring, and a different argument from error." Trends in Cognitive Sciences 9, no. 7 (2005): 320. http://dx.doi.org/10.1016/j.tics.2005.05.008.

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18

Short, Timothy L., and Kevin J. Riggs. "Defending Simulation Theory Against the Argument from Error." Mind & Language 31, no. 2 (2016): 248–62. http://dx.doi.org/10.1111/mila.12103.

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19

Gustafsson, Johan E., and Martin Peterson. "A computer simulation of the argument from disagreement." Synthese 184, no. 3 (2010): 387–405. http://dx.doi.org/10.1007/s11229-010-9822-3.

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20

CAUSSIGNAC, PH, J. DESCLOUX, and A. YAMNAHAKKI. "SIMULATION OF SOME QUANTUM MODELS FOR SEMICONDUCTORS." Mathematical Models and Methods in Applied Sciences 12, no. 08 (2002): 1049–74. http://dx.doi.org/10.1142/s0218202502002033.

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Three different existing steady-state models with quantum correction for simulating the resonant tunnelling diode are summarized. Numerical methods and a theoretical argument for one of the models are briefly described. Results of simulation are focused on the capability of reproducing the negative differential resistivity.
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21

Noureldin, Yasser A., Jason Y. Lee, Elspeth M. McDougall, and Robert M. Sweet. "Competency-Based Training and Simulation: Making a “Valid” Argument." Journal of Endourology 32, no. 2 (2018): 84–93. http://dx.doi.org/10.1089/end.2017.0650.

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22

Mižáková, Jana, Stella Hrehová, and Alexander Hošovský. "Simulation model of Heat Transfer through the Wall." International Journal of Applied Mathematics and Informatics 15 (March 19, 2021): 1–6. http://dx.doi.org/10.46300/91014.2021.15.1.

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This paper deals with describing of mathematical model of heat transfer through the wall and simulations, which were obtained by MATLAB Simulink. Model is a part of complex model of heating system. During our model design research we solve partial differential equation system and problem with inverse Laplace transform occurs, because of function of real argument from image function of complex argument is not define.
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23

Berezin, Alexander A. "Simulation Argument in the Context of Ultimate Reality and Meaning." Ultimate Reality and Meaning 29, no. 4 (2006): 244–61. http://dx.doi.org/10.3138/uram.29.4.244.

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24

Beisbart, Claus. "Are We Sims? How Computer Simulations Represent and What this Means for the Simulation Argument." Monist 97, no. 3 (2014): 399–417. http://dx.doi.org/10.5840/monist201497325.

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25

Yang, Ding-Gong, and Jin-Lin Liu. "Argument inequalities for certain analytic functions." Mathematical and Computer Modelling 52, no. 9-10 (2010): 1812–21. http://dx.doi.org/10.1016/j.mcm.2010.07.008.

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26

Zhang, Jia Xian, Yan Na Wang, and Rui Min Liu. "Numerical Simulation on Aerodynamics of Ramjet Projectiles." Advanced Materials Research 201-203 (February 2011): 89–92. http://dx.doi.org/10.4028/www.scientific.net/amr.201-203.89.

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Three-dimensional Reynolds-averaged Navier-Stokes simulations have been performed to explore the aerodynamic characteristics of ramjet projectiles. The turbulence model used is the RNG k-ε model. The numerical algorithms termed total variational diminishing (TVD) was adopted. The complex wave structures of ramjet projectiles with different architecture at different inflow Mach number were achieved by numerical simulation. The influence of inflow Mach number on aerodynamic characteristics and pressure center of ramjet projectiles were analyzed. Results show that lift coefficient and pressure center increase with the argument of inflow Mach number. Ramjet projectiles with different architecture have different drag coefficient trend.
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27

HATANO, NAOMICHI. "MONTE CARLO SIMULATION OF RANDOM BOSON HUBBARD MODEL." International Journal of Modern Physics C 07, no. 03 (1996): 449–56. http://dx.doi.org/10.1142/s0129183196000405.

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A Monte Carlo algorithm for the random Boson Hubbard model is reported. The analytic expression of the matrix elements is presented, and the ergodicity of the Monte Carlo flips is discussed. The results in one dimension supports a previously proposed perturbational scaling argument.
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28

Bishop, Ryan, and John W.P. Phillips. "Baudrillard and the Evil Genius." Theory, Culture & Society 24, no. 5 (2007): 135–45. http://dx.doi.org/10.1177/0263276407081287.

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This article commemorates Jean Baudrillard’s career with an account of the consistency of his interventionist logic, the subtlety of his styles of argument and the prescience of his observations. It provides an account of Baudrillard’s sustained engagement with the intensification of simulation that has increasingly codified trends in communications, technology politics, the social, the psychological and economics in the name of functionality. The consistency of Baudrillard’s arguments belies the many superficial judgements made about them, which were anyway often knowingly encouraged by Baudrillard’s rhetorical strategies.
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29

Anderson, David, and B. Jack Copeland. "Artificial Life and the Chinese Room Argument." Artificial Life 8, no. 4 (2002): 371–78. http://dx.doi.org/10.1162/106454602321202435.

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“Strong artificial life” refers to the thesis that a sufficiently sophisticated computer simulation of a life form is a life form in its own right. Can John Searle's Chinese room argument [12]—originally intended by him to show that the thesis he dubs “strong AI” is false—be deployed against strong ALife? We have often encountered the suggestion that it can be (even in print; see Harnad [8]). We do our best to transfer the argument from the domain of AI to that of ALife. We do so in order to show once and for all that the Chinese room argument proves nothing about ALife. There may indeed be powerful philosophical objections to the thesis of strong ALife, but the Chinese room argument is not among them.
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30

Clyde, Jerremie, and Glenn Wilkinson. "The Siren Song of Digital Simulation." International Journal of Virtual and Personal Learning Environments 2, no. 2 (2011): 46–58. http://dx.doi.org/10.4018/jvple.2011040105.

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This paper contrasts the importance of procedural rhetoric for the use of games in university and college level historical education with the use of history themed digital simulations. This paper starts by examining how history functions as a form of disciplinary knowledge and how this disciplinary way of knowing things is taught in the post secondary history course. The manner in which history is taught is contrasted with its evaluation to better define what students are actually expected to learn. The simulation is then examined in light of learning goals and evaluation. This demonstrates that simulations are a poor fit for most post secondary history courses. The more appropriate and effective choice is to construct the past via procedural rhetoric as a way to use digital video games to make the historical argument.
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31

Yamano, Takuya. "Gaussian solitary waves for argument-Schrödinger equation." Communications in Nonlinear Science and Numerical Simulation 91 (December 2020): 105449. http://dx.doi.org/10.1016/j.cnsns.2020.105449.

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32

Johnson, Joshua. "The Private Language Argument and a Second-Person Approach to Mindreading." European Journal for Philosophy of Religion 5, no. 4 (2013): 75–86. http://dx.doi.org/10.24204/ejpr.v5i4.206.

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I argue that if Wittgenstein’s Private language Argument is correct, then both Theory-Theory and Simulation Theory are inadequate accounts of how we come to know other minds since both theories assume the reality of a private language. Further, following the work of a number of philosophers and psychologists, I defend a ‘Second-Person Approach’ to mindreading according to which it is possible for us to be directly aware of at least some of the mental states of others. because it is not necessary to assume a private language within the Second-Person Approach, I argue that this account of social cognition is superior to Theory-Theory and Simulation Theory since it avoids the objections of the PlA.
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33

Richmond, Alasdair. "Apocalypse Now Does The Matrix: Anthropic adventures from doomsday to simulation." Think 6, no. 17-18 (2008): 29–40. http://dx.doi.org/10.1017/s1477175600002955.

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Following on from Nick Bostrom's discussion of the Doomsday argument, Alasdair Richmond considers how anthropic reasoning can lead from Doomsday to some odd conclusions about computation and our place in reality.
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34

Hartl, Odelia V., and Louis E. Strigari. "Local Group timing argument and virial theorem mass estimators from cosmological simulations." Monthly Notices of the Royal Astronomical Society 511, no. 4 (2022): 6193–204. http://dx.doi.org/10.1093/mnras/stac413.

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ABSTRACT We identify Local Group (LG) analogues in the IllustrisTNG cosmological simulation, and use these to study two-mass estimators for the LG: One based on the timing argument (TA) and one based on the virial theorem (VT). Including updated measurements of the Milky Way-M31 tangential velocity and the cosmological constant, we show that the TA mass estimator slightly overestimates the true median LG-mass, though the ratio of the TA to the true mass is consistent at the approximate 90 per cent c.l.. These are in broad agreement with previous results using dark matter-only simulations. We show that the VT estimator better estimates the true LG-mass, though there is a larger scatter in the virial mass to true mass ratio relative to the corresponding ratio for the TA. We attribute the broader scatter in the VT estimator to several factors, including the predominantly radial orbits for LG satellite galaxies, which differs from the VT assumption of isotropic orbits. With the systematic uncertainties we derive, the updated measurements of the LG mass at 90 per cent c.l. are $4.75_{-2.41}^{+2.22} \times 10^{12}$ M⊙ from the TA and $2.0_{-1.5}^{+2.1} \times 10^{12}$ M⊙ from the VT. We consider the LMC’s effect on the TA and VT LG mass estimates, and do not find exact LMC–MW–M31 analogues in the Illustris simulations. However, in LG simulations with satellite companions as massive as the LMC, we find that the effect on the TA and VT estimators is small, though we need further studies on a larger sample of LMC–MW–M31 systems to confirm these results.
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35

Till, Hettie, Jean Ker, Carol Myford, Kevin Stirling, and Gary Mires. "Constructing and evaluating a validity argument for the final-year ward simulation exercise." Advances in Health Sciences Education 20, no. 5 (2015): 1263–89. http://dx.doi.org/10.1007/s10459-015-9601-5.

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36

SCHMIDT, JAN CORNELIUS. "FROM SYMMETRY TO COMPLEXITY: ON INSTABILITIES AND THE UNITY IN DIVERSITY IN NONLINEAR SCIENCE." International Journal of Bifurcation and Chaos 18, no. 04 (2008): 897–910. http://dx.doi.org/10.1142/s0218127408020768.

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Throughout this paper I will argue that dynamical and structural instabilities are the sources of complexity and pattern formation. The argument can be accomplished by defending two theses. First, a demarcation thesis: two different approaches are predominant in mathematical sciences today — the symmetry-approach and the complexity-approach. Second, a synthesis thesis: although the two approaches differ, they can be connected and, further, to some degree integrated: instabilities are core concepts connecting the two approaches. However, in a specific sense we can say: evolution leads from symmetry to complexity by transitions across borders of instabilities. This paper will provide further arguments in favor of a structural unity in phenomenological diversity [Mainzer, 2005].
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37

Klotz, Jerome. "An incomplete beta series with argument x(l-x)." Communications in Statistics - Simulation and Computation 17, no. 4 (1988): 1333–37. http://dx.doi.org/10.1080/03610918808812727.

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38

Plociniczak, Lukasz. "ON ASYMPTOTICS OF SOME FRACTIONAL DIFFERENTIAL EQUATIONS." Mathematical Modelling and Analysis 18, no. 3 (2013): 358–73. http://dx.doi.org/10.3846/13926292.2013.804888.

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In this paper we study the large-argument asymptotic behaviour of certain fractional differential equations with Caputo derivatives. We obtain exponential and algebraic asymptotic solutions. The latter, decaying asymptotics differ significantly from the integer-order derivative equations. We verify our theorems numerically and find that our formulas are accurate even for small values of the argument. We analyze the zeros of fractional oscillations and find the approximate formulas for their distribution. Our methods can be used in studying many other fractional equations.
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39

Stear, Nils-Hennes. "Sadomasochism as Make-Believe." Hypatia 24, no. 2 (2009): 21–38. http://dx.doi.org/10.1111/j.1527-2001.2009.01030.x.

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In “Rethinking Sadomasochism,” Patrick Hopkins challenges the “radical” feminist claim that sadomasochism is incompatible with feminism. He does so by appeal to the notion of “simulation.” I argue that Hopkins's conclusions are generally right, but they cannot be inferred from his “simulation” argument. I replace Hopkins's “simulation” with Kendall Walton's more sophisticated theory of “make-believe.” I use this theory to better argue that privately conducted sadomasochism is compatible with feminism.
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40

Chrysafinos, Konstantinos. "Stability analysis and best approximation error estimates of discontinuous time-stepping schemes for the Allen–Cahn equation." ESAIM: Mathematical Modelling and Numerical Analysis 53, no. 2 (2019): 551–83. http://dx.doi.org/10.1051/m2an/2018071.

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Fully-discrete approximations of the Allen–Cahn equation are considered. In particular, we consider schemes of arbitrary order based on a discontinuous Galerkin (in time) approach combined with standard conforming finite elements (in space). We prove that these schemes are unconditionally stable under minimal regularity assumptions on the given data. We also prove best approximation a-priori error estimates, with constants depending polynomially upon (1/ε) by circumventing Gronwall Lemma arguments. The key feature of our approach is a carefully constructed duality argument, combined with a boot-strap technique.
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41

Aickin, Mikel. "Invalid Permutation Tests." International Journal of Mathematics and Mathematical Sciences 2010 (2010): 1–10. http://dx.doi.org/10.1155/2010/769780.

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Permutation tests are often presented in a rather casual manner, in both introductory and advanced statistics textbooks. The appeal of the cleverness of the procedure seems to replace the need for a rigorous argument that it produces valid hypothesis tests. The consequence of this educational failing has been a widespread belief in a “permutation principle”, which is supposed invariably to give tests that are valid by construction, under an absolute minimum of statistical assumptions. Several lines of argument are presented here to show that the permutation principle itself can be invalid, concentrating on the Fisher-Pitman permutation test for two means. A simple counterfactual example illustrates the general problem, and a slightly more elaborate counterfactual argument is used to explain why the main mathematical proof of the validity of permutation tests is mistaken. Two modifications of the permutation test are suggested to be valid in a very modest simulation. In instances where simulation software is readily available, investigating the validity of a specific permutation test can be done easily, requiring only a minimum understanding of statistical technicalities.
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42

BO, LIJUN, YIMING JIANG, and YONGJIN WANG. "STOCHASTIC CAHN–HILLIARD EQUATION WITH FRACTIONAL NOISE." Stochastics and Dynamics 08, no. 04 (2008): 643–65. http://dx.doi.org/10.1142/s0219493708002500.

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We study the existence and uniqueness of global mild solutions to a class of stochastic Cahn–Hilliard equations driven by fractional noises (fractional in time and white in space), through a weak convergence argument.
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43

Banaś, J., and I. J. Cabrera. "On solutions of a neutral differential equation with deviating argument." Mathematical and Computer Modelling 44, no. 11-12 (2006): 1080–88. http://dx.doi.org/10.1016/j.mcm.2006.03.012.

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44

Tao, J., and B. C. Qian. "A Simulation of Shell Structures of Comet Hale-Bopp in February 1997." International Astronomical Union Colloquium 183 (2001): 271–73. http://dx.doi.org/10.1017/s0252921100079045.

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AbstractWe present a simulation based on the morphology of the inner coma of comet Hale-Bopp(C/1995 O1) in February 1997. The synthetic images can fit the observations well, suggesting a simple spin mode. The rotation parameters, obliquity of orbital plane to equator and argument of subsolar meridian at perihelion, are 71 and 81 degrees respectively.
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45

Fritsch, G., and M. B. Giles. "An Asymptotic Analysis of Mixing Loss." Journal of Turbomachinery 117, no. 3 (1995): 367–74. http://dx.doi.org/10.1115/1.2835670.

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The objective of this paper is to establish, in a rigorous mathematical manner, a link between the dissipation of unsteadiness in a two-dimensional compressible flow and the resulting mixing loss. A novel asymptotic approach and a control-volume argument are central to the analysis. It represents the first work clearly identifying the separate contributions to the mixing loss from simultaneous linear disturbances, i.e., from unsteady entropy, vorticity, and pressure waves. The results of the analysis have important implications for numerical simulations of turbomachinery flows; the mixing loss at the stator/rotor interface in steady simulations and numerical smoothing are discussed in depth. For a transonic turbine, the entropy rise through the stage is compared for a steady and an unsteady viscous simulation. The larger interface mixing loss in the steady simulation is pointed out and its physical significance is discussed. The asymptotic approach is then applied to the first detailed analysis of interface mixing loss. Contributions from different wave types and wavelengths are quantified and discussed.
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46

Keating, R. F., and G. B. Sinclair. "On the fundamental energy argument of elastic fracture mechanics." International Journal of Fracture 74, no. 1 (1996): 43–61. http://dx.doi.org/10.1007/bf00018574.

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47

Sirazetdinov, T. K., and Sh Sh Khuzyatov. "Stability of distributed-parameter systems with retarded argument." Journal of Applied Mathematics and Mechanics 57, no. 6 (1993): 965–72. http://dx.doi.org/10.1016/0021-8928(93)90074-v.

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48

Guhathakurta, Subhrajit. "Urban Modeling as Storytelling: Using Simulation Models as a Narrative." Environment and Planning B: Planning and Design 29, no. 6 (2002): 895–911. http://dx.doi.org/10.1068/b12857.

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This paper examines the distinctions between empirical and simulation models using the metaphors of argument and narrative. It argues that all argumentation is contextualized within a narrative that is either inferred or communicated. It provides another semantic structure for urban models that applies elements of systems-dynamic method to construct ‘stories' of the past and possible futures of communities in a watershed in southern Arizona. By constructing such narratives this paper demonstrates how computer-based urban models can ‘tell a story’.
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49

Garbaliauskienė, Virginija, and Antanas Laurinčikas. "LIMIT THEOREMS FOR TWISTS OF L-FUNCTIONS OF ELLIPTIC CURVES. II." Mathematical Modelling and Analysis 17, no. 1 (2012): 90–99. http://dx.doi.org/10.3846/13926292.2012.645170.

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50

Andrejczuk, Miroslaw, Wojciech W. Grabowski, Szymon P. Malinowski, and Piotr K. Smolarkiewicz. "Numerical Simulation of Cloud–Clear Air Interfacial Mixing: Homogeneous versus Inhomogeneous Mixing." Journal of the Atmospheric Sciences 66, no. 8 (2009): 2493–500. http://dx.doi.org/10.1175/2009jas2956.1.

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Abstract This note presents an analysis of several dozens of direct numerical simulations of the cloud–clear air mixing in a setup of decaying moist turbulence with bin microphysics. The goal is to assess the instantaneous relationship between the homogeneity of mixing and the ratio of the time scales of droplet evaporation and turbulent homogenization. Such a relationship is important for developing improved microphysical parameterizations for large-eddy simulation of clouds. The analysis suggests a robust relationship for the range of time scale ratios between 0.5 and 10. Outside this range, the scatter of numerical data is significant, with smaller and larger time scale ratios corresponding to mixing scenarios that approach the extremely inhomogeneous and homogeneous limits, respectively. This is consistent with the heuristic argument relating the homogeneity of mixing to the time scale ratio.
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