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Introduction to Monte Carlo Methods
In this introductory chapter, we relate a short history of the Monte Carlo method and mention some of its uses. We illustrate the method by working...
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Hypothesis tests
Have you heard? Eating chocolate helps you live longer! Listening to Mozart makes you smarter! Walking in the park makes you happy! Well, at least...
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Probability
The study of probability arose out of the desire to understand (and perhaps gain an upper hand in) games of chance and gambling. Today, probability...
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Regularities of Pareto sets in low-dimensional practical multi-criteria optimisation problems: analysis, explanation, and exploitation
Many practical optimisation problems have conflicting objectives, which should be addressed by multi-criteria optimisation (MCO), i.e. by determining...
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Taming Spatial Complexity
Buffon’s needleBuffon’s needle", Varignon’s theorem, Jung’s theorem, Sylvester's problem, are all hints that random allocations of spatial objects...
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Swaziland
At the end of 1975 some of the family moved to Swaziland for our father to take up a position at the University of Botswana and Swaziland. The role...
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Surface Patterns in Architecture Driven by Image Sampling and Robotic Fabrication
Design and artwork driven by image sampling processing has a half-century tradition in contemporary art and computer graphics. In the past two...
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Randomness, Emergence and Causation: A Historical Perspective of Simulation in the Social Sciences
This chapter is a review of a selection of simulation models, with special reference to the social sciences. Three critical aspects are...
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Daniele Barbaro and Mathematical Instruments
Part IX of La practica della perspectiva was planned as an attentive examination of the instruments for perspective drawing, a topic which comprised...
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Soergel Calculus with Patches
We adapt the diagrammatic presentation of the Hecke category to the dg category formed by the standard representatives for the Rouquier complexes. We...
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Simulation of Propagation of Dynamic Perturbations in Porous Media by the Grid-Characteristic Method with Explicit Description of Heterogeneities
AbstractWave perturbations propagating through heterogeneous media with porous inclusions are numerically simulated, and an explicit description of...
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From Linear System of Equations to Artificial Intelligence—The Evolution Journey of Computer Tomographic Image Reconstruction Algorithms
In 1970, the use of a linear system of equations in the form of algebraic reconstruction technique (ART) was an initial step to be used as an...
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Necessary Optimality Conditions for Singular Controls in Stochastic Goursat–Darboux Systems
AbstractWe consider an optimal control problem for a stochastic system whose dynamics is described by a second-order hyperbolic stochastic partial...
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A Mathematical Model of Thermography with Application to Tungiasis Inflammation of the Skin
Clinical application of thermography is emerging in the diagnosis of several diseases including tungiasis, a neglected tropical disease that...
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Enhanced entropy generation and heat transfer characteristics of magnetic nano-encapsulated phase change materials in latent heat thermal energy storage systems
The objective of the current study is to investigate the importance of entropy generation and thermal radiation on the patterns of velocity,...
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Applying Grover’s algorithm to implement various numerical and comparison operations
Quantum search algorithm is used to perform fast data searching that finds data with high probability for any unstructured data. The quantum search...
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Work, Searchings, and a Change of Decor
In recollecting the first decade and a half of my professional life in Moscow, I find myself unable to single out any especially vivid impressions;...
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Numerical Analysis of Ethanol and 2-Butanone Direct Injection in an Internal Combustion Engine
The mixture formation of air and the gasoline surrogates Ethanol and 2-Butanone is numerically investigated using large-eddy simulations of the...