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Whole Perfect Vectors and Fermat’s Last Theorem
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作者 Ramon Carbó-Dorca 《Journal of Applied Mathematics and Physics》 2024年第1期34-42,共9页
A naïve discussion of Fermat’s last theorem conundrum is described. The present theorem’s proof is grounded on the well-known properties of sums of powers of the sine and cosine functions, the Minkowski norm de... A naïve discussion of Fermat’s last theorem conundrum is described. The present theorem’s proof is grounded on the well-known properties of sums of powers of the sine and cosine functions, the Minkowski norm definition, and some vector-specific structures. 展开更多
关键词 Fermat’s Last Theorem Whole Perfect Vectors Sine and Cosine Functions Natural and Rational Vectors Fermat Vectors
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The Concept of Information Support for Bi-oresource and Ecosystem Research in the North-West Pacific: Theory and Practical Implementation
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作者 Igor V. Volvenko 《Natural Resources》 2016年第1期40-50,共11页
The first part of the article provides an overview of the theoretical evidence, the main provisions, and the implementation strategy of information support for bioresource and ecosystem research in the north-west Paci... The first part of the article provides an overview of the theoretical evidence, the main provisions, and the implementation strategy of information support for bioresource and ecosystem research in the north-west Pacific, which has been conducted over the past 20 years in the Russian Far East Research Institute TINRO-Center. In short, the concept consists of a combination of the following four assertions: 1) For the steady and sustainable development of the Russian Far East, the entire Russian Federation and the Asia-Pacific Region in general, environmental, food, economic, and other security is required, which cannot be achieved without the rational use of bioresources based on the ecosystem approach to the management of aquatic bioresources. 2) For the inventory, appraisal, monitoring, forecasting of the state of and management the natural water resources when applying this approach, statistically relevant quantitative information is required on the greatest possible number of constituents of marine biocenosis of the north-western Pacific for the longest possible period of time, which is only available at the TINRO-Center. 3) This valuable data should be organized into databases, based on which geo-information and other electronic information systems are prepared, and based on these map atlases and reference books on natural water resources, using automated workplaces created especially for this. 4) The resulting unique information support will be of great value not only for practical purposes, but also for science, both applied and fundamental. Next comes a summary of the many years of work on the practical implementation of this concept and the key achievements in this field obtained by the TINRO-Center by the end of 2015 are reviewed. At the end, some plans for the near future are outlined. 展开更多
关键词 Aquatic Bioresources Rational Use of Natural Resources Ecosystem Approach Information Support DATABASES Knowledge Bases GIS MAPS Reference Books The North-Western Pacific
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The Origin and Differentiation of the Theories of Human Nature in Pre-Qin China
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作者 GUO Yi 《Frontiers of Philosophy in China》 2015年第2期212-238,共27页
In early China, views concerning human nature underwent significant development, with philosophers moving from seeing it as desire or instinct to seeing it as virtue or essence. Before Confucius's time, human beings... In early China, views concerning human nature underwent significant development, with philosophers moving from seeing it as desire or instinct to seeing it as virtue or essence. Before Confucius's time, human beings' xing, or nature, was construed as desire and instinct, i.e., as a physical nature. The key problem faced by theorists of human nature at that time was how to manage nature with virtue, i.e., how to use virtue to both control and enrich nature. A later, wide-reaching development was the use of qi to explain human nature. Laozi began, taking de or virtue to be the internal essence of the human being; Confucius took de or virtue to be xing or nature. Following this development, the main current of the theory of human nature in the pre-Qin period divided into two branches. One, created by the later Confucius, inherited in part by Zisi, and developed by Mencius, took virtue as nature and insisted on the a priority of internal morality. The other branch, inherited in part by Zisi and developed by the author of Xing Zi Ming Chu and Xunzi, featured the development of the old tradition which took yu, or desire, as nature. 展开更多
关键词 human nature physical nature rational nature Pre-Qin China Laozi CONFUCIUS
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