Based on new analysis modes and new definitions with relative mathematization and simplification or strengthening forms for concepts of. generalized systems, panderivatives, pansymmetry, panbox principle, pansystems r...Based on new analysis modes and new definitions with relative mathematization and simplification or strengthening forms for concepts of. generalized systems, panderivatives, pansymmetry, panbox principle, pansystems relativity, etc., the framework and related principles of pansystems methodology and pansystems relativity are developed. Related contents include: pansystems with relatively universal mathematizing forms, 200 types of dualities, duality transformation, pansymmetry transformation, pansystems dialectics, the 8-domain method, pansystems mathematical methods, generalized quantification, the principles of approximation-transforming, pan-equivalence theorems, supply-demand analysis, thinking experiment, generalized gray systems, etc.展开更多
Some patterns of refined epitomes of pansystems methodology were revealed roles and the related of them in problem-solving, modeling, algorithm-generating and theory-constructing were introduced. An important applicat...Some patterns of refined epitomes of pansystems methodology were revealed roles and the related of them in problem-solving, modeling, algorithm-generating and theory-constructing were introduced. An important application of pansystems methodology is to give some methods of constructing the typical pansymmetric-magic squares: 1. a method of recursively constructing magic squares of order n ( n greater than or equal to 5) ; 2. when magic squares of order m( m greater than or equal to 3) and magic squares of order n ( n greater than or equal to 3) are given of formula of obtaining magic squares of order nm; 3. when magic squares of order m ( m greater than or equal to 3) are given, a method of obtaining magic squares of order 2m.展开更多
In this paper, several definitions of composing panweighted networks and panweighted fields are given, a group of theorems about the logic conservation of compositions between panweighted networks and panweighted fiel...In this paper, several definitions of composing panweighted networks and panweighted fields are given, a group of theorems about the logic conservation of compositions between panweighted networks and panweighted fields are proved. By combining the average field model, the future application of panweighted networks and panweighted fields in ANN is discussed.展开更多
文摘Based on new analysis modes and new definitions with relative mathematization and simplification or strengthening forms for concepts of. generalized systems, panderivatives, pansymmetry, panbox principle, pansystems relativity, etc., the framework and related principles of pansystems methodology and pansystems relativity are developed. Related contents include: pansystems with relatively universal mathematizing forms, 200 types of dualities, duality transformation, pansymmetry transformation, pansystems dialectics, the 8-domain method, pansystems mathematical methods, generalized quantification, the principles of approximation-transforming, pan-equivalence theorems, supply-demand analysis, thinking experiment, generalized gray systems, etc.
文摘Some patterns of refined epitomes of pansystems methodology were revealed roles and the related of them in problem-solving, modeling, algorithm-generating and theory-constructing were introduced. An important application of pansystems methodology is to give some methods of constructing the typical pansymmetric-magic squares: 1. a method of recursively constructing magic squares of order n ( n greater than or equal to 5) ; 2. when magic squares of order m( m greater than or equal to 3) and magic squares of order n ( n greater than or equal to 3) are given of formula of obtaining magic squares of order nm; 3. when magic squares of order m ( m greater than or equal to 3) are given, a method of obtaining magic squares of order 2m.
文摘In this paper, several definitions of composing panweighted networks and panweighted fields are given, a group of theorems about the logic conservation of compositions between panweighted networks and panweighted fields are proved. By combining the average field model, the future application of panweighted networks and panweighted fields in ANN is discussed.
