The iron and steel industry in China has experienced vast changes over the past thirty years.To have a precise knowledge of the circumstances behind its evolution,it is essential to perform an iron flow analysis.Accor...The iron and steel industry in China has experienced vast changes over the past thirty years.To have a precise knowledge of the circumstances behind its evolution,it is essential to perform an iron flow analysis.Accordingly,iron flow analysis for the years 1990-2015 was conducted.Firstly,the iron natural resource efficiency,Chinese steel scrap index,and Chinese iron ore support ratio which can reflect the running status of China's iron and steel industry for these six years(1990,1995,2000,2005,2010,and 2015)were analyzed;thereafter,value chain and statistical entropy analyses were conducted based on the iron flow analysis,and some interesting results were obtained.Discussions and conclusions based on the results along with the recommendations for the China's iron and industry were proposed.展开更多
The total quantum statistical entropy of Reissner-Nordstrom black holes inDirac field case is evaluated in this article. The space-time of the black holes is divided intothree regions: region 1 (r 】 r_o), region 2 (r...The total quantum statistical entropy of Reissner-Nordstrom black holes inDirac field case is evaluated in this article. The space-time of the black holes is divided intothree regions: region 1 (r 】 r_o), region 2 (r_o 】 r 】 r_i), and region 3 (r_i 】 r 】 0), where r_ois the radius of the outer event horizon, and Ti is the radius of the inner event horizon. The totalquantum statistical entropy of Reissner-Nordstrom black holes is S = S_1 + S_2 + S_3, where S_i (i= 1,2,3) is the entropy, contributed by regions 1,2,3. The detailed calculation shows that S_2 isneglectfully small. S_1 = w_t(π~2/45)k_b(A_o/ε~2β~3), S_3 = -w_t(π~2/45)k_b(A_i/ε~2β~3), whereA_o and A_i are, respectively, the areas of the outer and inner event horizons, w_t = 2~s[1 -2~(-(s+1))], s = d/2, d is the space-time dimension, here d = 4, s = 2. As r_i approaches r_o in theextreme case the total quantum statistical entropy of Reissner-Nordstrom black holes approacheszero.展开更多
The generalized uncertainty relation is introduced to calculate the quantum statis-tical entropy corresponding to cosmic horizon.By using the new equation of state density motivated by the generalized uncertainty rela...The generalized uncertainty relation is introduced to calculate the quantum statis-tical entropy corresponding to cosmic horizon.By using the new equation of state density motivated by the generalized uncertainty relation,we discuss entropies of Bose field and Fermi field on the background of five-dimensional spacetime.In our calculation,we need not introduce cutoff.There is no divergent logarithmic term in the original brick-wall method.And it is obtained that the quantum statistical en-tropy corresponding to cosmic horizon is proportional to the area of the horizon.Further it is shown that the entropy corresponding to cosmic horizon is the entropy of quantum state on the surface of horizon.The black hole's entropy is the intrinsic property of the black hole.The entropy is a quantum effect.In our calculation,by using the quantum statistical method,we obtain the partition function of Bose field and Fermi field on the background of five-dimensional spacetime.We provide a way to study the quantum statistical entropy corresponding to cosmic horizon in the higher-dimensional spacetime.展开更多
The maximum entropy principle(MEP) is one of the first methods which have been used to predict droplet size and velocity distributions of liquid sprays. This method needs a mean droplets diameter as an input to predic...The maximum entropy principle(MEP) is one of the first methods which have been used to predict droplet size and velocity distributions of liquid sprays. This method needs a mean droplets diameter as an input to predict the droplet size distribution. This paper presents a new sub-model based on the deterministic aspects of liquid atomization process independent of the experimental data to provide the mean droplets diameter for using in the maximum entropy formulation(MEF). For this purpose, a theoretical model based on the approach of energy conservation law entitled energy-based model(EBM) is presented. Based on this approach, atomization occurs due to the kinetic energy loss. Prediction of the combined model(MEF/EBM) is in good agreement with the available experimental data. The energy-based model can be used as a fast and reliable enough model to obtain a good estimation of the mean droplets diameter of a spray and the combined model(MEF/EBM) can be used to well predict the droplet size distribution at the primary breakup.展开更多
The intensity of the micro-expression is weak,although the directional low frequency components in the image are preserved by many algorithms,the extracted micro-expression ft^ature information is not sufficient to ac...The intensity of the micro-expression is weak,although the directional low frequency components in the image are preserved by many algorithms,the extracted micro-expression ft^ature information is not sufficient to accurately represent its sequences.In order to improve the accuracy of micro-expression recognition,first,each frame image is extracted from,its sequences,and the image frame is pre-processed by using gray normalization,size normalization,and two-dimensional principal component analysis(2DPCA);then,the optical flow method is used to extract the motion characteristics of the reduced-dimensional image,the information entropy value of the optical flow characteristic image is calculated by the information entropy principle,and the information entropy value is analyzed to obtain the eigenvalue.Therefore,more micro-expression feature information is extracted,including more important information,which can further improve the accuracy of micro-expression classification and recognition;finally,the feature images are classified by using the support vector machine(SVM).The experimental results show that the micro-expression feature image obtained by the information entropy statistics can effectively improve the accuracy of micro-expression recognition.展开更多
Strong energy sharing is shown by numerically investigating coupled multi-component Bose–Einstein condensates（BECs） with a harmonic trap to simulate the Fermi–Pasta–Ulam model（FPU）. For two-component BECs, the ...Strong energy sharing is shown by numerically investigating coupled multi-component Bose–Einstein condensates（BECs） with a harmonic trap to simulate the Fermi–Pasta–Ulam model（FPU）. For two-component BECs, the energy exchanging between each part, from regular, quantum beating to complete energy sharing, is explored by simulating their Husimi distributions, the time evolution of energies and the statistical entropy. Meanwhile, in the three-component case, a more complex energy sharing behavior is reported and a strong energy sharing is found.展开更多
In 1907, aviation pioneer Santos-Dumont had the idea of building a very light airplane. He designed and built the SD 19, the Demoiselle, an aircraft with a 6 meter wing span and a 24 HP engine of his own design. The D...In 1907, aviation pioneer Santos-Dumont had the idea of building a very light airplane. He designed and built the SD 19, the Demoiselle, an aircraft with a 6 meter wing span and a 24 HP engine of his own design. The Demoiselle was very successful in flying and, became very popular and its development continued as SD20, SD21 and SD22 （his last airplane）. The influence of the Demoiselle on design principles of light aircraft and general aviation were studied in this work, using statistical entropy, The designs number 20 and 22 may be considered dominant and influenced the design principles of light aircraft and general aviation.展开更多
Inspired by the evolution equation of nonequilibrium statistical physics entropy and the concise statistical formula of the entropy production rate, we develop a theory of the dynamic information entropy and build a n...Inspired by the evolution equation of nonequilibrium statistical physics entropy and the concise statistical formula of the entropy production rate, we develop a theory of the dynamic information entropy and build a nonlinear evolution equation of the information entropy density changing in time and state variable space. Its mathematical form and physical meaning are similar to the evolution equation of the physical entropy: The time rate of change of information entropy density originates together from drift, diffusion and production. The concise statistical formula of information entropy production rate is similar to that of physical entropy also. Furthermore, we study the similarity and difference between physical entropy and information entropy and the possible unification of the two statistical entropies, and discuss the relationship among the principle of entropy increase, the principle of equilibrium maximum entropy and the principle of maximum information entropy as well as the connection between them and the entropy evolution equation.展开更多
基金supported by the National Key Research and Development Program of China(2019YFC1905204)the Soft Science Program Funded by Fujian Provincial Department of Science and Technology(2019R0067)+1 种基金the Project of Sichuan Mineral Resources Research Center(SCKCZY2020-YB01)the Fundamental Research Funds for the Central Universities of China(N182502045).
文摘The iron and steel industry in China has experienced vast changes over the past thirty years.To have a precise knowledge of the circumstances behind its evolution,it is essential to perform an iron flow analysis.Accordingly,iron flow analysis for the years 1990-2015 was conducted.Firstly,the iron natural resource efficiency,Chinese steel scrap index,and Chinese iron ore support ratio which can reflect the running status of China's iron and steel industry for these six years(1990,1995,2000,2005,2010,and 2015)were analyzed;thereafter,value chain and statistical entropy analyses were conducted based on the iron flow analysis,and some interesting results were obtained.Discussions and conclusions based on the results along with the recommendations for the China's iron and industry were proposed.
文摘The total quantum statistical entropy of Reissner-Nordstrom black holes inDirac field case is evaluated in this article. The space-time of the black holes is divided intothree regions: region 1 (r 】 r_o), region 2 (r_o 】 r 】 r_i), and region 3 (r_i 】 r 】 0), where r_ois the radius of the outer event horizon, and Ti is the radius of the inner event horizon. The totalquantum statistical entropy of Reissner-Nordstrom black holes is S = S_1 + S_2 + S_3, where S_i (i= 1,2,3) is the entropy, contributed by regions 1,2,3. The detailed calculation shows that S_2 isneglectfully small. S_1 = w_t(π~2/45)k_b(A_o/ε~2β~3), S_3 = -w_t(π~2/45)k_b(A_i/ε~2β~3), whereA_o and A_i are, respectively, the areas of the outer and inner event horizons, w_t = 2~s[1 -2~(-(s+1))], s = d/2, d is the space-time dimension, here d = 4, s = 2. As r_i approaches r_o in theextreme case the total quantum statistical entropy of Reissner-Nordstrom black holes approacheszero.
基金the National Natural Science Foundation of China(Grant No.10374075)the Natural Science Foundation of Shanxi Province,China(Grant No.2006011012)
文摘The generalized uncertainty relation is introduced to calculate the quantum statis-tical entropy corresponding to cosmic horizon.By using the new equation of state density motivated by the generalized uncertainty relation,we discuss entropies of Bose field and Fermi field on the background of five-dimensional spacetime.In our calculation,we need not introduce cutoff.There is no divergent logarithmic term in the original brick-wall method.And it is obtained that the quantum statistical en-tropy corresponding to cosmic horizon is proportional to the area of the horizon.Further it is shown that the entropy corresponding to cosmic horizon is the entropy of quantum state on the surface of horizon.The black hole's entropy is the intrinsic property of the black hole.The entropy is a quantum effect.In our calculation,by using the quantum statistical method,we obtain the partition function of Bose field and Fermi field on the background of five-dimensional spacetime.We provide a way to study the quantum statistical entropy corresponding to cosmic horizon in the higher-dimensional spacetime.
文摘The maximum entropy principle(MEP) is one of the first methods which have been used to predict droplet size and velocity distributions of liquid sprays. This method needs a mean droplets diameter as an input to predict the droplet size distribution. This paper presents a new sub-model based on the deterministic aspects of liquid atomization process independent of the experimental data to provide the mean droplets diameter for using in the maximum entropy formulation(MEF). For this purpose, a theoretical model based on the approach of energy conservation law entitled energy-based model(EBM) is presented. Based on this approach, atomization occurs due to the kinetic energy loss. Prediction of the combined model(MEF/EBM) is in good agreement with the available experimental data. The energy-based model can be used as a fast and reliable enough model to obtain a good estimation of the mean droplets diameter of a spray and the combined model(MEF/EBM) can be used to well predict the droplet size distribution at the primary breakup.
基金the National Natural Science Foundation of China(Nos.61772417,61634004,and 61602377)the Key R&D Progrm Projects in Shaanxi Province(No.2017GY-060)the Shaanxi Natural Science Basic Research Project(No.018JM4018)。
文摘The intensity of the micro-expression is weak,although the directional low frequency components in the image are preserved by many algorithms,the extracted micro-expression ft^ature information is not sufficient to accurately represent its sequences.In order to improve the accuracy of micro-expression recognition,first,each frame image is extracted from,its sequences,and the image frame is pre-processed by using gray normalization,size normalization,and two-dimensional principal component analysis(2DPCA);then,the optical flow method is used to extract the motion characteristics of the reduced-dimensional image,the information entropy value of the optical flow characteristic image is calculated by the information entropy principle,and the information entropy value is analyzed to obtain the eigenvalue.Therefore,more micro-expression feature information is extracted,including more important information,which can further improve the accuracy of micro-expression classification and recognition;finally,the feature images are classified by using the support vector machine(SVM).The experimental results show that the micro-expression feature image obtained by the information entropy statistics can effectively improve the accuracy of micro-expression recognition.
基金supported by the National Natural Science Foundation of China(Grant No.11374197)the Research Fund for the Doctoral Program of TYUST,China(Grant No.20122041)the Program for Changjiang Scholars and Innovative Research Team in University,China(Grant No.IRT13076)
文摘Strong energy sharing is shown by numerically investigating coupled multi-component Bose–Einstein condensates（BECs） with a harmonic trap to simulate the Fermi–Pasta–Ulam model（FPU）. For two-component BECs, the energy exchanging between each part, from regular, quantum beating to complete energy sharing, is explored by simulating their Husimi distributions, the time evolution of energies and the statistical entropy. Meanwhile, in the three-component case, a more complex energy sharing behavior is reported and a strong energy sharing is found.
文摘In 1907, aviation pioneer Santos-Dumont had the idea of building a very light airplane. He designed and built the SD 19, the Demoiselle, an aircraft with a 6 meter wing span and a 24 HP engine of his own design. The Demoiselle was very successful in flying and, became very popular and its development continued as SD20, SD21 and SD22 （his last airplane）. The influence of the Demoiselle on design principles of light aircraft and general aviation were studied in this work, using statistical entropy, The designs number 20 and 22 may be considered dominant and influenced the design principles of light aircraft and general aviation.
文摘Inspired by the evolution equation of nonequilibrium statistical physics entropy and the concise statistical formula of the entropy production rate, we develop a theory of the dynamic information entropy and build a nonlinear evolution equation of the information entropy density changing in time and state variable space. Its mathematical form and physical meaning are similar to the evolution equation of the physical entropy: The time rate of change of information entropy density originates together from drift, diffusion and production. The concise statistical formula of information entropy production rate is similar to that of physical entropy also. Furthermore, we study the similarity and difference between physical entropy and information entropy and the possible unification of the two statistical entropies, and discuss the relationship among the principle of entropy increase, the principle of equilibrium maximum entropy and the principle of maximum information entropy as well as the connection between them and the entropy evolution equation.
