This paper deals with the Gevreg-hypoellipticity for a class of totally characteristic operators with the elliptic condition and the discrete boundary spectrum condition respectively.
In this paper, by initiative research on local spectral theory of total class wF（p, r, q） operators, we get some important results. Such as total class wF（p, r,q） operators is normaloid operator, the local spectra...In this paper, by initiative research on local spectral theory of total class wF（p, r, q） operators, we get some important results. Such as total class wF（p, r,q） operators is normaloid operator, the local spectral subspace of total class wF（p, r, q） operators is equal to the space EλH（Eλ the Reisz idempotent, with respect to λ1, of T）, total class wF（p, r, q） operators has finite ascent, and so on.展开更多
the widely discussed study of word class categorization has a long history of more than 2000 years,which is known as the study of the“God Particles”in language.As a typical analytic language,Modern Chinese,due to it...the widely discussed study of word class categorization has a long history of more than 2000 years,which is known as the study of the“God Particles”in language.As a typical analytic language,Modern Chinese,due to its lack of morphological changes,is challenged by a thorny problem of word classes especially when it comes to the criteria for word class identification and the treat⁃ment of multiple class membership.As such,all the controversies eventually give rise to some contradiction and confusion in word class labeling in Modern Chinese and Chinese-English dictionaries.As an important grammatical means in Chinese and the focus of lexicology and rhetorics,total reduplication lexemes serve as an essential part of Chinese-English dictionaries with complex and diverse word classes.Guided by the Two-level Word Class Categorization Theory,this thesis focuses on the word class labeling of total reduplication lexemes in New Century Chinese-English Dictionary(2nd edition)backed by large-scale balanced Modern Chi⁃nese corpora.With an innovative theoretical perspective,this study not only contributes to the word class labeling of total reduplica⁃tion lexemes and even sheds light on the compilation of Chinese-English dictionaries,but also drives the study of Modern Chinese word classes in the long term.展开更多
The author gives a definition of orbifold Stiefel-Whitney classes of real orbifold vector bundles over special q-CW complexes(i.e.,right-angled Coxeter complexes).Simi-larly to ordinary Stiefel-Whitney classes,orbifol...The author gives a definition of orbifold Stiefel-Whitney classes of real orbifold vector bundles over special q-CW complexes(i.e.,right-angled Coxeter complexes).Simi-larly to ordinary Stiefel-Whitney classes,orbifold Stiefel-Whitney classes here also satisfy the associated axiomatic properties.展开更多
基金Foundation item： the National Natural Science Foundation of China （No. 10371029） the Natural Science Foundation of Hebei Province （No. 103144） the Foundation of Hebei Normal University （No. L2005B03） and the Funds of Hebei Province for Doctorate （No. 201006）.
文摘The possible form of the total Stiefel-Whitney classes of vector bundles on CP(n)× CP(m) is determined in this paper.
文摘This paper deals with the Gevreg-hypoellipticity for a class of totally characteristic operators with the elliptic condition and the discrete boundary spectrum condition respectively.
文摘In this paper, by initiative research on local spectral theory of total class wF（p, r, q） operators, we get some important results. Such as total class wF（p, r,q） operators is normaloid operator, the local spectral subspace of total class wF（p, r, q） operators is equal to the space EλH（Eλ the Reisz idempotent, with respect to λ1, of T）, total class wF（p, r, q） operators has finite ascent, and so on.
文摘the widely discussed study of word class categorization has a long history of more than 2000 years,which is known as the study of the“God Particles”in language.As a typical analytic language,Modern Chinese,due to its lack of morphological changes,is challenged by a thorny problem of word classes especially when it comes to the criteria for word class identification and the treat⁃ment of multiple class membership.As such,all the controversies eventually give rise to some contradiction and confusion in word class labeling in Modern Chinese and Chinese-English dictionaries.As an important grammatical means in Chinese and the focus of lexicology and rhetorics,total reduplication lexemes serve as an essential part of Chinese-English dictionaries with complex and diverse word classes.Guided by the Two-level Word Class Categorization Theory,this thesis focuses on the word class labeling of total reduplication lexemes in New Century Chinese-English Dictionary(2nd edition)backed by large-scale balanced Modern Chi⁃nese corpora.With an innovative theoretical perspective,this study not only contributes to the word class labeling of total reduplica⁃tion lexemes and even sheds light on the compilation of Chinese-English dictionaries,but also drives the study of Modern Chinese word classes in the long term.
基金This work was supported by the National Natural Science Foundation of China(No.11971112).
文摘The author gives a definition of orbifold Stiefel-Whitney classes of real orbifold vector bundles over special q-CW complexes(i.e.,right-angled Coxeter complexes).Simi-larly to ordinary Stiefel-Whitney classes,orbifold Stiefel-Whitney classes here also satisfy the associated axiomatic properties.
