22,700 research outputs found

    On transcendental numbers: new results and a little history

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    Attempting to create a general framework for studying new results on transcendental numbers, this paper begins with a survey on transcendental numbers and transcendence, it then presents several properties of the transcendental numbers ee and π\pi, and then it gives the proofs of new inequalities and identities for transcendental numbers. Also, in relationship with these topics, we study some implications for the theory of the Yang-Baxter equations, and we propose some open problems.Comment: 8 page

    On transcendental numbers

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    Transcendental numbers play an important role in many areas of science. This paper contains a short survey on transcendental numbers and some relations among them. New inequalities for transcendental numbers are stated in Section 2 and proved in Section 4. Also, in relationship with these topics, we study the exponential function axioms related to the Yang-Baxter equation.Comment: 6 page

    How much Mathematics does Economy Need? ...Or... Some Brief Epistemological Excursions into the Mathematics located on the border with Social Sciences

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    In our paper we try to answer to the epistemological question how much mathematics does economy need.economics, economy, mathematics, epistemology

    Focal Spot, Spring/Summer 1983

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    https://digitalcommons.wustl.edu/focal_spot_archives/1034/thumbnail.jp

    EMDR therapy for PTSD after motor vehicle accidents: meta-analytic evidence for specific treatment

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    Motor vehicle accident (MVA) victims may suffer both acute and post-traumatic stress disorders (PTSD). With PTSD affecting social, interpersonal and occupational functioning, clinicians as well as the National Institute of Health are very interested in identifying the most effective psychological treatment to reduce PTSD. From research findings, eye movement desensitization and reprocessing (EMDR) therapy is considered as one of the effective treatment of PTSD. In this paper, we present the results of a meta-analysis of fMRI studies on PTSD after MVA through activation likelihood estimation. We found that PTSD following MVA is characterized by neural modifications in the anterior cingulate cortex (ACC), a cerebral structure involved in fear-conditioning mechanisms. Basing on previous findings in both humans and animals, which demonstrate that desensitization techniques and extinction protocols act on the limbic system, the effectiveness of EMDR and of cognitive behavioral therapies (CBT) may be related to the fact that during these therapies the ACC is stimulated by desensitization

    216 Jewish Hospital of St. Louis

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    https://digitalcommons.wustl.edu/bjc_216/1136/thumbnail.jp

    Workshop on Community Perspectives on Land and Agrarian Reform (CPLAR) in South Africa

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    Documents from the Community Perspectives on Land and Agrarian Reform (CPLAR) in South Africa Workshop, which took place in Johannesburg from March 11-13, 1994. Materials include workshop program, notes, and the workshop final project. Robert and Ann Seidman were contributors in this workshop and submitted an executive summary: Transfonning Agricultural Institutions: A Theory and Methodology for Drafting the Required Legislation. This research project was funded by the MacArthur Foundation

    An Uneven Playing Field: The Evolving Legal Landscape of Baseball Relations Between Cuba and the United States

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    216 Jewish Hospital of St. Louis

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    https://digitalcommons.wustl.edu/bjc_216/1046/thumbnail.jp
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