Titlebook: Quantum versus Classical Mechanics and Integrability Problems; towards a unificatio Maciej B?aszak Book 2019 Springer Nature Switzerland AG

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Basic Mathematical Tools,portant formulas of these formalisms are collected in this chapter. The reader who is less familiar with these mathematical tools will find here necessary knowledge presented in a compact form. For a more comprehensive treatment of the subject we refer the reader to the literature.

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ort of study has usually been performed over small social networks, and the limitation of size has conditioned the visibility of complexity [4, 5]. However, the situation has changed significantly in recent times due to basically two reasons. First, there is an increasing availability of larger soci

PAC

Maciej B?aszakave a large number of practical implications ranging from detecting spam emails, to predicting which item is selected by which user in a recommendation system. However, considering the highly dynamical aspect of complex networks, there is a rising interest not only for knowing who will interact with

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Maciej B?aszake to the limitations of data collection techniques and the implicit bias during modeling the network. In both cases, they lead to changes in the network in the form of additional or missing edges, collectively termed as noise. Given that network analysis is used in many critical applications from cr

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Maciej B?aszakh hashtag may go viral against others; also in an e-commerce site like Amazon, reviews of a product over the time can help to identify which product will be preferred over others in future. The information dynamics follow a complex diffusion process and many factors reinforce each other. There are c

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Maciej B?aszakdistribution is a complex system that can be seen as a network of trade flows connecting supply chain actors. Identifying the source of an outbreak of foodborne disease distributed across this network can be solved by considering this network structure and the dimensions of information it contains.