In the present, the authors investigate a new type of separation axioms, which they call it w s-regular. The authors obtained some of its basic properties and its characterizations. Also, the authors notice that the a...In the present, the authors investigate a new type of separation axioms, which they call it w s-regular. The authors obtained some of its basic properties and its characterizations. Also, the authors notice that the axiom of tO s-regularity is weaker than the regularity, stronger than s-regularity and it is independent of w -regularity. However, the authors showed that the w s-regularity and regularity are identical on the class of all locally countable spaces, while the concepts ofw s-regularity and s-regularity are same on the class of anti-locally countable spaces：; furthermore, they proved that the three concepts w s-regularity, s-regularity and w s-regularity are same on the class of extremally disconnected spaces. The authors characterized w s-regular Trspaces by g-open sets, and they proved that the w s-regularity is an open hereditary property and it is also a topologizal property. The w s-closure of subsets of topological spaces are investigated and characterized. The authors used the concepts w s-closure to obtain some characterizations of the w s-regular spaces. Behind those, the authors obtained some properties and characterizations of w -semi open sets.展开更多
The authors reviewed the influence of various factors--inductive, mesomeric and steric effects, and magnetic fields and time correlation ratio. The authors offered the new correlation ratio in Chemistry and Biology wi...The authors reviewed the influence of various factors--inductive, mesomeric and steric effects, and magnetic fields and time correlation ratio. The authors offered the new correlation ratio in Chemistry and Biology with respect to time and magnetic field. The proposed formula takes into account the influence of the magnetic field on the correlation ratio.展开更多
The objective of this paper is to demonstrate that the processual aspect of literary works of art deserves much more attention than it normally receives by readers, critics, and theorists. The most important reason fo...The objective of this paper is to demonstrate that the processual aspect of literary works of art deserves much more attention than it normally receives by readers, critics, and theorists. The most important reason for this is seen in the fact that texts since the advent of print culture have been disseminated and passed on in written form and that in the medium of writing the processual character of language is only insufficiently taken care of by a cultural convention of arranging and approaching the presented signs in an particular sequence. Whereas in an oral culture the dynamic processuality of a speech or recitation was directly experienced by the listeners, the spatial arrangement of signs in writing enables and even entices readers and critics to read this or that part of a written text in a sequence of their own making. What remains out of focus is that in doing so they miss the particular semantic profile and aesthetic character of the work as created by the author--a procedure particularly hurtful in the case of literary works of art. There is hope, however, that this will somewhat change by our moving towards a performance culture展开更多
This is a survey article for the mathematical theory of Witten's Gauged Linear Sigma Model, as developed recently by the authors. Instead of developing the theory in the most general setting, in this paper the aut...This is a survey article for the mathematical theory of Witten's Gauged Linear Sigma Model, as developed recently by the authors. Instead of developing the theory in the most general setting, in this paper the authors focus on the description of the moduli.展开更多
The author studies the properties and applications of quasi-Killing spinors and quasi-twistor spinors and obtains some vanishing theorems. In particular, the author classifies all the types of quasi-twistor spinors on...The author studies the properties and applications of quasi-Killing spinors and quasi-twistor spinors and obtains some vanishing theorems. In particular, the author classifies all the types of quasi-twistor spinors on closed Riemannian spin manifolds. As a consequence, it is known that on a locally decomposable closed spin manifold with nonzero Ricci curvature, the space of twistor spinors is trivial. Some integrability condition for twistor spinors is also obtained.展开更多
文摘In the present, the authors investigate a new type of separation axioms, which they call it w s-regular. The authors obtained some of its basic properties and its characterizations. Also, the authors notice that the axiom of tO s-regularity is weaker than the regularity, stronger than s-regularity and it is independent of w -regularity. However, the authors showed that the w s-regularity and regularity are identical on the class of all locally countable spaces, while the concepts ofw s-regularity and s-regularity are same on the class of anti-locally countable spaces：; furthermore, they proved that the three concepts w s-regularity, s-regularity and w s-regularity are same on the class of extremally disconnected spaces. The authors characterized w s-regular Trspaces by g-open sets, and they proved that the w s-regularity is an open hereditary property and it is also a topologizal property. The w s-closure of subsets of topological spaces are investigated and characterized. The authors used the concepts w s-closure to obtain some characterizations of the w s-regular spaces. Behind those, the authors obtained some properties and characterizations of w -semi open sets.
文摘The authors reviewed the influence of various factors--inductive, mesomeric and steric effects, and magnetic fields and time correlation ratio. The authors offered the new correlation ratio in Chemistry and Biology with respect to time and magnetic field. The proposed formula takes into account the influence of the magnetic field on the correlation ratio.
文摘The objective of this paper is to demonstrate that the processual aspect of literary works of art deserves much more attention than it normally receives by readers, critics, and theorists. The most important reason for this is seen in the fact that texts since the advent of print culture have been disseminated and passed on in written form and that in the medium of writing the processual character of language is only insufficiently taken care of by a cultural convention of arranging and approaching the presented signs in an particular sequence. Whereas in an oral culture the dynamic processuality of a speech or recitation was directly experienced by the listeners, the spatial arrangement of signs in writing enables and even entices readers and critics to read this or that part of a written text in a sequence of their own making. What remains out of focus is that in doing so they miss the particular semantic profile and aesthetic character of the work as created by the author--a procedure particularly hurtful in the case of literary works of art. There is hope, however, that this will somewhat change by our moving towards a performance culture
基金supported by the Natural Science Foundation(Nos.DMS-1564502,DMS-1405245,DMS-1564457)the National Natural Science Foundation of China(Nos.11325101,11271028)the Ph.D.Programs Foundation of Ministry of Education of China(No.20120001110060)
文摘This is a survey article for the mathematical theory of Witten's Gauged Linear Sigma Model, as developed recently by the authors. Instead of developing the theory in the most general setting, in this paper the authors focus on the description of the moduli.
基金supported by the National Natural Science Foundation of China(Nos.11301202,11571131)
文摘The author studies the properties and applications of quasi-Killing spinors and quasi-twistor spinors and obtains some vanishing theorems. In particular, the author classifies all the types of quasi-twistor spinors on closed Riemannian spin manifolds. As a consequence, it is known that on a locally decomposable closed spin manifold with nonzero Ricci curvature, the space of twistor spinors is trivial. Some integrability condition for twistor spinors is also obtained.
