Analysis of free fall and acceleration of the mass on the Earth shows that using abstract entities such as absolute space or inertial space to explain mass dynamics leads to the violation of the principle of action an...Analysis of free fall and acceleration of the mass on the Earth shows that using abstract entities such as absolute space or inertial space to explain mass dynamics leads to the violation of the principle of action and reaction. Many scientists including Newton, Mach, and Einstein recognized that inertial force has no reaction that originates on mass. Einstein calls the lack of reaction to the inertial force a serious criticism of the space-time continuum concept. Presented is the hypothesis that the inertial force develops in an interaction of two masses via the force field. The inertial force created by such a field has reaction force. The dynamic gravitational field predicted is strong enough to be detected in the laboratory. This article describes the laboratory experiment which can prove or disprove the hypothesis of the dynamic gravitational field. The inertial force, calculated using the equation for the dynamic gravitational field, agrees with the behavior of inertial force observed in the experiments on the Earth. The movement of the planets in our solar system calculated using that equation is the same as that calculated using Newton’s method. The space properties calculated by the candidate equation explain the aberration of light and the results of light propagation experiments. The dynamic gravitational field can explain the discrepancy between the observed velocity of stars in the galaxy and those predicted by Newton’s theory of gravitation without the need for the dark matter hypothesis.展开更多
This paper focuses on studying the Noether symmetry and the conserved quantity with non-standard Lagrangians, namely exponential Lagrangians and power-law Lagrangians on time scales. Firstly, for each case, the Hamilt...This paper focuses on studying the Noether symmetry and the conserved quantity with non-standard Lagrangians, namely exponential Lagrangians and power-law Lagrangians on time scales. Firstly, for each case, the Hamilton prin- ciple based on the action with non-standard Lagrangians on time scales is established, with which the corresponding Euler-Lagrange equation is given. Secondly, according to the invariance of the Hamilton action under the infinitesimal transformation, the Noether theorem for the dynamical system with non-standard Lagrangians on time scales is established. The proof of the theorem consists of two steps. First, it is proved under the infinitesimal transformations of a special one-parameter group without transforming time. Second, utilizing the technique of time-re-parameterization, the Noether theorem in a general form is obtained. The Noether-type conserved quantities with non-standard Lagrangians in both clas- sical and discrete cases are given. Finally, an example in Friedmann-Robertson-Walker spacetime and an example about second order Duffing equation are given to illustrate the application of the results.展开更多
Hydrothermal assembly of Co2＋ ion, a bis-imidazole ligand BIMB（BIMB = 1,4-bis（imidazol-1-yl）benzene） and a rigid bidentate linker 2,6-naphthalenedicarboxylic acid（H2ndc）, yields a novel three-dimensional（3D） ...Hydrothermal assembly of Co2＋ ion, a bis-imidazole ligand BIMB（BIMB = 1,4-bis（imidazol-1-yl）benzene） and a rigid bidentate linker 2,6-naphthalenedicarboxylic acid（H2ndc）, yields a novel three-dimensional（3D） self-penetrating coordination polymer {[Co（BIMB）（ndc）]·H2O}n（1）. Complex 1 exhibits {6~5.8} topology and contains a 2D → 3D parallel polycatenated substructure. In addition, solid-state UV-vis absorption spectra of 1 were also investigated.展开更多
A lot of technologies can be used in home control subnet, but the hardware and software resources available for the home control subnet are limited. There are security problems easily seen. The paper gives the system-...A lot of technologies can be used in home control subnet, but the hardware and software resources available for the home control subnet are limited. There are security problems easily seen. The paper gives the system-atic analysis of the structure and function of home control subnet based on the general model of home net-work. The paper has also analyzed two types of major equipment, namely sub-gateways and terminal equip-ment. The major networking technology used in home control subnet is summarized and concluded. In com-bination with relationship among home control subnet, home network, as well as the outside main network, the paper has systematically studied various safety problems related to home control gateways and the possi-ble solutions to those problems have been made.展开更多
Based on the features of the non-standard equipment executing work, a project management and decision support system oriented to the non-standard equipment is developed, and the information model, function model as we...Based on the features of the non-standard equipment executing work, a project management and decision support system oriented to the non-standard equipment is developed, and the information model, function model as well as the structure framework of the system are also introduced in this paper.展开更多
The canonical transformation and Poisson theory of dynamical systems with exponential,power-law,and logarithmic non-standard Lagrangians are studied,respectively.The criterion equations of canonical transformation are...The canonical transformation and Poisson theory of dynamical systems with exponential,power-law,and logarithmic non-standard Lagrangians are studied,respectively.The criterion equations of canonical transformation are established,and four basic forms of canonical transformations are given.The dynamic equations with non-standard Lagrangians admit Lie algebraic structure.From this,we es-tablish the Poisson theory,which makes it possible to find new conservation laws through known conserved quantities.Some examples are put forward to demonstrate the use of the theory and verify its effectiveness.展开更多
文摘Analysis of free fall and acceleration of the mass on the Earth shows that using abstract entities such as absolute space or inertial space to explain mass dynamics leads to the violation of the principle of action and reaction. Many scientists including Newton, Mach, and Einstein recognized that inertial force has no reaction that originates on mass. Einstein calls the lack of reaction to the inertial force a serious criticism of the space-time continuum concept. Presented is the hypothesis that the inertial force develops in an interaction of two masses via the force field. The inertial force created by such a field has reaction force. The dynamic gravitational field predicted is strong enough to be detected in the laboratory. This article describes the laboratory experiment which can prove or disprove the hypothesis of the dynamic gravitational field. The inertial force, calculated using the equation for the dynamic gravitational field, agrees with the behavior of inertial force observed in the experiments on the Earth. The movement of the planets in our solar system calculated using that equation is the same as that calculated using Newton’s method. The space properties calculated by the candidate equation explain the aberration of light and the results of light propagation experiments. The dynamic gravitational field can explain the discrepancy between the observed velocity of stars in the galaxy and those predicted by Newton’s theory of gravitation without the need for the dark matter hypothesis.
基金supported by the National Natural Science Foundation of China(Grant Nos.11572212 and 11272227)the Innovation Program of Suzhou University of Science and Technology,China(Grant No.SKYCX16 012)
文摘This paper focuses on studying the Noether symmetry and the conserved quantity with non-standard Lagrangians, namely exponential Lagrangians and power-law Lagrangians on time scales. Firstly, for each case, the Hamilton prin- ciple based on the action with non-standard Lagrangians on time scales is established, with which the corresponding Euler-Lagrange equation is given. Secondly, according to the invariance of the Hamilton action under the infinitesimal transformation, the Noether theorem for the dynamical system with non-standard Lagrangians on time scales is established. The proof of the theorem consists of two steps. First, it is proved under the infinitesimal transformations of a special one-parameter group without transforming time. Second, utilizing the technique of time-re-parameterization, the Noether theorem in a general form is obtained. The Noether-type conserved quantities with non-standard Lagrangians in both clas- sical and discrete cases are given. Finally, an example in Friedmann-Robertson-Walker spacetime and an example about second order Duffing equation are given to illustrate the application of the results.
基金Supported by the National Natural Science Foundation of China(Nos.21361023 and 21461023)
文摘Hydrothermal assembly of Co2＋ ion, a bis-imidazole ligand BIMB（BIMB = 1,4-bis（imidazol-1-yl）benzene） and a rigid bidentate linker 2,6-naphthalenedicarboxylic acid（H2ndc）, yields a novel three-dimensional（3D） self-penetrating coordination polymer {[Co（BIMB）（ndc）]·H2O}n（1）. Complex 1 exhibits {6~5.8} topology and contains a 2D → 3D parallel polycatenated substructure. In addition, solid-state UV-vis absorption spectra of 1 were also investigated.
文摘A lot of technologies can be used in home control subnet, but the hardware and software resources available for the home control subnet are limited. There are security problems easily seen. The paper gives the system-atic analysis of the structure and function of home control subnet based on the general model of home net-work. The paper has also analyzed two types of major equipment, namely sub-gateways and terminal equip-ment. The major networking technology used in home control subnet is summarized and concluded. In com-bination with relationship among home control subnet, home network, as well as the outside main network, the paper has systematically studied various safety problems related to home control gateways and the possi-ble solutions to those problems have been made.
文摘Based on the features of the non-standard equipment executing work, a project management and decision support system oriented to the non-standard equipment is developed, and the information model, function model as well as the structure framework of the system are also introduced in this paper.
基金Supported by the National Natural Science Foundation of China(12272248,11972241)。
文摘The canonical transformation and Poisson theory of dynamical systems with exponential,power-law,and logarithmic non-standard Lagrangians are studied,respectively.The criterion equations of canonical transformation are established,and four basic forms of canonical transformations are given.The dynamic equations with non-standard Lagrangians admit Lie algebraic structure.From this,we es-tablish the Poisson theory,which makes it possible to find new conservation laws through known conserved quantities.Some examples are put forward to demonstrate the use of the theory and verify its effectiveness.
