A new type of philosophy and mathematics from the pansytems view is introduced here,including the 7 philosophic theories(7PT)and related mathematic researches.Many second/third philosophies are developed within pansvs...A new type of philosophy and mathematics from the pansytems view is introduced here,including the 7 philosophic theories(7PT)and related mathematic researches.Many second/third philosophies are developed within pansvstems framework and related applications to APTMS.展开更多
A new type of philosophy and mathematics from the pansystems view is introduced here, including the 7 philosophy theories (7PT) and related mathematizing researches. Many second/third philosophies are developed within...A new type of philosophy and mathematics from the pansystems view is introduced here, including the 7 philosophy theories (7PT) and related mathematizing researches. Many second/third philosophies are developed within pansystems framework and related applications to APT MS.展开更多
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
From the pansystems view of prediction, the paper investigates the blow-up andpost blow-up of fluid in rotation and convergence.The results show that the motion includes certain characteristics of reverse transform...From the pansystems view of prediction, the paper investigates the blow-up andpost blow-up of fluid in rotation and convergence.The results show that the motion includes certain characteristics of reverse transformation the counter clockwiserotation can be developed into clockwise,and vice versa;the convergence can be changed into divergence through blow-up, and the divergence will die out continuously.The real forecasting must look this mechanism in the face. Generally speakinq, theforecasting of evolution for fluid can’t be considered only as traditional Cauchy pro-blem. The traditional forecast models should be rediscussed questioningly.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
Because of. the great needs both for the research of pansystem mathematics andfor the analysis of general things' mechanism, this paper discusses the binary relation,stransitivity confined to multirelation. The so...Because of. the great needs both for the research of pansystem mathematics andfor the analysis of general things' mechanism, this paper discusses the binary relation,stransitivity confined to multirelation. The so-called g-transitvity- a completelynew concept about transitivity- is introduced and its basic properties are investigated.The study shows that it is not only g-transitivity a generalization of traditionaltransitivity, quasi-transitivity, seml-order, quasi-order and other panorder, but alsoincludes many important concepts such as closeness, convexity, topology, duality as itsspecial cases.展开更多
In this paper, we apply fixed pansystems theorems to study when a fuzzy transformation has a nonzero eigen-fuzzy set. Many necessary conditions and sufficient conditions are obtained. Furthermore, the properties of no...In this paper, we apply fixed pansystems theorems to study when a fuzzy transformation has a nonzero eigen-fuzzy set. Many necessary conditions and sufficient conditions are obtained. Furthermore, the properties of nonzero eigen-fuzzy sets are investigated, and the results presented in Ref[4] are extended.展开更多
A new type of philosophy from the view of pansystems is introducedhere,including the 7 philosophy theories(7PT),fuzziness research andmany second/third philosophies are developed within pansystems frame-work.
文摘A new type of philosophy and mathematics from the pansytems view is introduced here,including the 7 philosophic theories(7PT)and related mathematic researches.Many second/third philosophies are developed within pansvstems framework and related applications to APTMS.
文摘A new type of philosophy and mathematics from the pansystems view is introduced here, including the 7 philosophy theories (7PT) and related mathematizing researches. Many second/third philosophies are developed within pansystems framework and related applications to APT MS.
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From the pansystems view of prediction, the paper investigates the blow-up andpost blow-up of fluid in rotation and convergence.The results show that the motion includes certain characteristics of reverse transformation the counter clockwiserotation can be developed into clockwise,and vice versa;the convergence can be changed into divergence through blow-up, and the divergence will die out continuously.The real forecasting must look this mechanism in the face. Generally speakinq, theforecasting of evolution for fluid can’t be considered only as traditional Cauchy pro-blem. The traditional forecast models should be rediscussed questioningly.
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Because of. the great needs both for the research of pansystem mathematics andfor the analysis of general things' mechanism, this paper discusses the binary relation,stransitivity confined to multirelation. The so-called g-transitvity- a completelynew concept about transitivity- is introduced and its basic properties are investigated.The study shows that it is not only g-transitivity a generalization of traditionaltransitivity, quasi-transitivity, seml-order, quasi-order and other panorder, but alsoincludes many important concepts such as closeness, convexity, topology, duality as itsspecial cases.
文摘In this paper, we apply fixed pansystems theorems to study when a fuzzy transformation has a nonzero eigen-fuzzy set. Many necessary conditions and sufficient conditions are obtained. Furthermore, the properties of nonzero eigen-fuzzy sets are investigated, and the results presented in Ref[4] are extended.
文摘A new type of philosophy from the view of pansystems is introducedhere,including the 7 philosophy theories(7PT),fuzziness research andmany second/third philosophies are developed within pansystems frame-work.
