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Mathematical Methods in Data Science covers a broad range of mathematical tools used in data science, including calculus, linear algebra, optimization, network analysis, probability and differential equations. Based on the authors' recently published and previously unpublished results, this book introduces a new approach based on network analysis to integrate big data into the framework of ordinary and partial differential equations for data analysis and prediction. With data science being used in virtually every aspect of our society, the book includes examples and problems arising in data science and the clear explanation of advanced mathematical concepts, especially data-driven differential equations, making it accessible to researchers and graduate students in mathematics and data science.
The book lies at the interface of mathematics, social media analysis, and data science. The new approach advocates a paradigm shift for modeling information diffusion in online social networks and lays the theoretical groundwork for many spatio-temporal modeling problems in the big-data era.
Investigative journalism emerged in China in the 1980s following Deng Xiaoping's media reforms. Over the past few decades, Chinese investigative journalists have produced an increasing number of reports in print or on air and covered a surprisingly wide range of topics which had been thought impossible by the standards of the Communist era. In the 2010s, however, investigative journalism has been replaced by activist journalism. This book examines how, with the aid of new media technologies and in response to new calls for social responsibility, these new-era journalists vigorously seek to expand the scope of their journalism and their capacity as journalists. They tend to perceive themselves as more than professional journalists, and their activities are not limited to the physical boundaries of newsrooms. They are not only detached observers of society but also engaged organizers of social movementsthey are social activists as well as responsible journalists who challenge state power and the party line and point to the limitations of the more traditional conceptions of journalism in China. This book analyzes how journalism in China has been gradually transformed from a tool of the state to a means of broadening calls for democratic reform.
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