Two forms of basic equations and 5 basic matrices in the matrix analysis of networks from nonlinear networks to linear networks are obtained and their origins in physics are correctly explained. Furthermore, the whole...Two forms of basic equations and 5 basic matrices in the matrix analysis of networks from nonlinear networks to linear networks are obtained and their origins in physics are correctly explained. Furthermore, the whole 12 general characteristic formulae of the 4 fundamental network elements as well as some important new results, which were not in the conventional theory, have also been obtained during inference for both nonlinear and linear networks.展开更多
A field theory has been proposed. The laws of conservation of charge and energy can be obtained from the Maxwell’s equations, which are placed in nonlinear network for simultaneous solution, and therefore the Kirchh...A field theory has been proposed. The laws of conservation of charge and energy can be obtained from the Maxwell’s equations, which are placed in nonlinear network for simultaneous solution, and therefore the Kirchhoff’s law with its most fundamental integral formulae in nonlinear network can be obtained. Thus, it will strictly push forward the total basic equations from non-linear network to linear network as well as other important new relationships to provide the theoretical grounds for the field theory.展开更多
文摘Two forms of basic equations and 5 basic matrices in the matrix analysis of networks from nonlinear networks to linear networks are obtained and their origins in physics are correctly explained. Furthermore, the whole 12 general characteristic formulae of the 4 fundamental network elements as well as some important new results, which were not in the conventional theory, have also been obtained during inference for both nonlinear and linear networks.
文摘A field theory has been proposed. The laws of conservation of charge and energy can be obtained from the Maxwell’s equations, which are placed in nonlinear network for simultaneous solution, and therefore the Kirchhoff’s law with its most fundamental integral formulae in nonlinear network can be obtained. Thus, it will strictly push forward the total basic equations from non-linear network to linear network as well as other important new relationships to provide the theoretical grounds for the field theory.