In the article, the author presents some arguments concerning the ＂mathematical method issue＂ in modem economics. The author shows why some reasons, according to which we should use mathematics in （economic） theor...In the article, the author presents some arguments concerning the ＂mathematical method issue＂ in modem economics. The author shows why some reasons, according to which we should use mathematics in （economic） theory, are not convincing （they are even tautological）, and what does mathematization have to do with arbitrariness of the orthodox economic theory. The author also shows why using game theory （a mathematical discipline） in modem microeconomics does not yield knowledge and correct explanation of economic situations and phenomena. At the end, the author presents fundamental questions that form the basis of economic science and its qualitative research methods, and shows what their practical relevance is. The purpose of this article is to argue, contrary to common opinion, that there can be an exact and objective science of economic phenomena that does not necessarily use modem mathematical theories or methods to explain these phenomena.展开更多
Based on the orthodox theory,a model of a single electron transistor （SET） of metallic tunneling junctions is built using the master equation method. Several parameters of the device, such as capacitance, resistance...Based on the orthodox theory,a model of a single electron transistor （SET） of metallic tunneling junctions is built using the master equation method. Several parameters of the device, such as capacitance, resistance and temperature,are input into the model and thus the I-V curves are attained. These curves are consistent with those from other experiments; therefore, the model is verified. However, there still exists a difference between simulated results and experimental results,mainly comes from the stationary case of the master equation. In other words, precision of simulated results would be increased if the transient case of the master equation is considered. Moreover, the current increases exponentially at higher drain voltages, which is due to the fact that the barrier suppression is caused by the image charge potential.展开更多
文摘In the article, the author presents some arguments concerning the ＂mathematical method issue＂ in modem economics. The author shows why some reasons, according to which we should use mathematics in （economic） theory, are not convincing （they are even tautological）, and what does mathematization have to do with arbitrariness of the orthodox economic theory. The author also shows why using game theory （a mathematical discipline） in modem microeconomics does not yield knowledge and correct explanation of economic situations and phenomena. At the end, the author presents fundamental questions that form the basis of economic science and its qualitative research methods, and shows what their practical relevance is. The purpose of this article is to argue, contrary to common opinion, that there can be an exact and objective science of economic phenomena that does not necessarily use modem mathematical theories or methods to explain these phenomena.
文摘Based on the orthodox theory,a model of a single electron transistor （SET） of metallic tunneling junctions is built using the master equation method. Several parameters of the device, such as capacitance, resistance and temperature,are input into the model and thus the I-V curves are attained. These curves are consistent with those from other experiments; therefore, the model is verified. However, there still exists a difference between simulated results and experimental results,mainly comes from the stationary case of the master equation. In other words, precision of simulated results would be increased if the transient case of the master equation is considered. Moreover, the current increases exponentially at higher drain voltages, which is due to the fact that the barrier suppression is caused by the image charge potential.
