59,235 research outputs found

    The classical origin of modern mathematics

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    The aim of this paper is to study the historical evolution of mathematical thinking and its spatial spreading. To do so, we have collected and integrated data from different online academic datasets. In its final stage, the database includes a large number (N~200K) of advisor-student relationships, with affiliations and keywords on their research topic, over several centuries, from the 14th century until today. We focus on two different topics, the evolving importance of countries and of the research disciplines over time. Moreover we study the database at three levels, its global statistics, the mesoscale networks connecting countries and disciplines, and the genealogical level

    Some Relevant Econophysics’ Moments of History, Definitions, Methods, Models and New Trends

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    New models result from a new way of thinking or from the trans-disciplinary methods used in new domains. Econophysics improve the quality of the classical research of Economics through its original models and methods. As a new or very young science Econophysics means either a new domain for physicists or new methods and ways of thinking for economists in the modern world. Physicists have recently established careers in the banking, financial, life insurance and marketing more easily than we could imagine only because their appetite for data and new laws of economic realities. After a brief historical background of the last three decades, a new section is defining what Econophysics is, and others underline significant methods, models, results, and trends. A final remark is inspired by the needs of globalize economies.Econophysics, Statistical Physics, Econophysics model, Quantum Statistics, power law, diffusion.

    Research and Education in Computational Science and Engineering

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    Over the past two decades the field of computational science and engineering (CSE) has penetrated both basic and applied research in academia, industry, and laboratories to advance discovery, optimize systems, support decision-makers, and educate the scientific and engineering workforce. Informed by centuries of theory and experiment, CSE performs computational experiments to answer questions that neither theory nor experiment alone is equipped to answer. CSE provides scientists and engineers of all persuasions with algorithmic inventions and software systems that transcend disciplines and scales. Carried on a wave of digital technology, CSE brings the power of parallelism to bear on troves of data. Mathematics-based advanced computing has become a prevalent means of discovery and innovation in essentially all areas of science, engineering, technology, and society; and the CSE community is at the core of this transformation. However, a combination of disruptive developments---including the architectural complexity of extreme-scale computing, the data revolution that engulfs the planet, and the specialization required to follow the applications to new frontiers---is redefining the scope and reach of the CSE endeavor. This report describes the rapid expansion of CSE and the challenges to sustaining its bold advances. The report also presents strategies and directions for CSE research and education for the next decade.Comment: Major revision, to appear in SIAM Revie

    The Law of Exponential Growth: Evidence, Implications and Forecasts

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    published or submitted for publicatio

    A Bibliometrics Portrait of Chinese Research through the Lens of China Economic Review. A research proposal.

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    Notwithstanding, in the last two decades, there has been a noticeable increase in published work on the research field of Chinese economy. There are few studies, which analyze the evolution of Chinese economics research, and the weight of international economics within it, by resorting to objective methods, namely bibliometrics. Giving our focus on Chinese economics related research, we select to base our empirical analysis on the “seed journal” China Economic Review (CER), which is the most important economic journal especially concerned with the issues of Chinese economy. We classify and assess all the (522) articles that were published in CER from its genesis (1989) up to December 2010. We construct three main databases: the first database as bibliographic database that contains the more than 500 articles published in CER, where we classify articles by themes (such as Macroeconomics, Microeconomics and International Economics) and types(such as formal vs. empirical); the second database includes the references of those 500 articles, which we denominate ‘roots of Chinese economics research’; and the third database, the ‘influence of Chinese economics research’, where we have all the studies that cited (more than 3000 references) the 500 articles published in CER. By undertaking an exploratory statistical analysis on the three databases - bibliographic database, ‘roots’ database and ‘influence’ database, we are able to assess three main group of issues: 1) the importance, within Chinese economics of the topic ‘international economic’; the types of research that are pursued in the period of analysis (formal vs empirical); and the most prolific authors in the area; 2) the ‘roots’ of Chinese economics, that is, who and which outlets are influencing most Chinese economics research; 3) the scope of influence of Chinese economics literature.Evolution of research, Economics, Bibliometrics, China Economic Review

    Curriculum Guidelines for Undergraduate Programs in Data Science

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    The Park City Math Institute (PCMI) 2016 Summer Undergraduate Faculty Program met for the purpose of composing guidelines for undergraduate programs in Data Science. The group consisted of 25 undergraduate faculty from a variety of institutions in the U.S., primarily from the disciplines of mathematics, statistics and computer science. These guidelines are meant to provide some structure for institutions planning for or revising a major in Data Science

    ADVANCES IN DECISION ANALYSIS. EFFICIENT METHODS IN FINANCE

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    Decision analysis offer workable solutions in domain such as the environment, health and medicine, engineering and operations research and finance. In finance area we can observe a big variety of method and techniques for research fluctuates from economy and financial date. Most economic decisions are related to monetary variables. Since money has a capacity to connect the present and the future, conflicts among long�run and short�run economic goals and uncertainties of the future make economic decisions very complicated. In this paper we will introduce some models to show how monetary variables can be investigated real aspects of economic development. We discusses problems encountered in financial models, describes efficient method and show how to apply them to practical problems in financedecision analysis, mathematical modeling, dynamic models, money
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