Based on extensive literature search,the composition,pharmacology,clini cal applications of Passiflora foetida L,ecological characteristics were summarized with the aim to provide scientific data for further research ...Based on extensive literature search,the composition,pharmacology,clini cal applications of Passiflora foetida L,ecological characteristics were summarized with the aim to provide scientific data for further research and exploitation.展开更多
In this paper, by using the Nevanlinna Theory on angular domain, we establish a theorem which concerns the growth of entire function and his zero. As an application, we survey the location of zero of higher order diff...In this paper, by using the Nevanlinna Theory on angular domain, we establish a theorem which concerns the growth of entire function and his zero. As an application, we survey the location of zero of higher order differential equation, which can be regarded as an alternating but precise version of Wu and Yi.展开更多
Erosion agents and patterns profoundly affect hillslope soil loss characteristics. However, few attempts have been made to analyze the effects of rainfall and inflow on soil erosion for hillslopes dominated by sheet e...Erosion agents and patterns profoundly affect hillslope soil loss characteristics. However, few attempts have been made to analyze the effects of rainfall and inflow on soil erosion for hillslopes dominated by sheet erosion or rill erosion in the Chinese Mollisol region. The objective of this study was to discuss the erosive agent(rainfall or inflow), hillslope erosion pattern(sheet erosion or rill erosion) and slope gradient effects on runoff and soil losses. Two soil pans(2.0 m long, 0.5 m wide and 0.5 m deep) with 5° and 10° slopes were subjected to rainfall(0 and 70 mm h–1) and inflow(0 and 70 mm h–1) experiments. Three experimental combinations of rainfall intensity(RI) and inflow rate(IR) were tested using the same water supply of 70 mm by controllingthe run time. A flat soil surface and a soil bed with a straight initial rill were prepared manually, and represented hillslopes dominated by sheet erosion and rill erosion, respectively. The results showed that soil losses had greater differences among treatments than total runoff. Soil losses decreased in the order of RI70+IR70 > RI70+IR0 > RI0+IR70. Additionally, soil losses for hillslopes dominated by rill erosion were 1.7-2.2 times greater at 5° and 2.5-6.9 times greater at 10° than those for hillslopes dominated by sheet erosion. The loss of <0.25 mm soil particles and aggregates varying from 47.72%-99.60% of the total soil loss played a dominant role in the sediment. Compared with sheet erosion hillslopes, rill erosion hillslopes selectively transported more microaggregates under a relatively stable rill development stage, but rills transported increasinglymore macroaggregates under an active rill development stage. In conclusion, eliminating raindrop impact on relatively gentle hillslopes and preventing rill development on relatively steep hillslopes would be useful measures to decrease soil erosion and soil degradation in the Mollisol region of northeastern China.展开更多
Let(Ω , E, P) be a probability space, F a sub-σ-algebra of E, L^p(E)(1 p +∞) the classical function space and LF^p(E) the L^0(F)-module generated by L^p(E), which can be made into a random normed modul...Let(Ω , E, P) be a probability space, F a sub-σ-algebra of E, L^p(E)(1 p +∞) the classical function space and LF^p(E) the L^0(F)-module generated by L^p(E), which can be made into a random normed module in a natural way. Up to the present time, there are three kinds of conditional risk measures, whose model spaces are L^∞(E), L^p(E)(1 p +∞) and LF^p(E)(1 p +∞) respectively, and a conditional convex dual representation theorem has been established for each kind. The purpose of this paper is to study the relations among the three kinds of conditional risk measures together with their representation theorems. We first establish the relation between L^p(E) and LF^p(E), namely LF^p(E) = Hcc(L^p(E)), which shows that LF^p(E)is exactly the countable concatenation hull of L^p(E). Based on the precise relation, we then prove that every L^0(F)-convex L^p(E)-conditional risk measure(1 p +∞) can be uniquely extended to an L^0(F)-convex LF^p(E)-conditional risk measure and that the dual representation theorem of the former can also be regarded as a special case of that of the latter, which shows that the study of L^p-conditional risk measures can be incorporated into that of LF^p(E)-conditional risk measures. In particular, in the process we find that combining the countable concatenation hull of a set and the local property of conditional risk measures is a very useful analytic skill that may considerably simplify and improve the study of L^0-convex conditional risk measures.展开更多
A code is said to be a w-identifiable parent property code (or w-IPP code for short) if whenever d is a descendant of w (or fewer) codewords, and one can always identify at least one of the parents of d. Let C be an (...A code is said to be a w-identifiable parent property code (or w-IPP code for short) if whenever d is a descendant of w (or fewer) codewords, and one can always identify at least one of the parents of d. Let C be an (N,w + 1,q)-code and C* an (w + 1)-color graph for C. If a graph G is a subgraph of C* and consists of w +1 edges with different colors, then G is called a (w +1)-pattern of C*. In this paper, we proved that C is a w-IPP code if and only if there exists at most one vertex with color degree more than 1 in any (w + 1)-pattern of C*.展开更多
From September 22 to 27,a delegation of the Japan-China Association on Economy and Trade(JCAET),comprising more than 200 business people and the largest such delegation in history,visited China.When meet-ing with the ...From September 22 to 27,a delegation of the Japan-China Association on Economy and Trade(JCAET),comprising more than 200 business people and the largest such delegation in history,visited China.When meet-ing with the delegation,Chinese Vice Premier Wang Yang said that China hopes to restart the high-level economic dialogue between the two countries soon,but Japan should show sincerity on historical and territorial issues.展开更多
In this expository paper,we describe the study of certain non-self-adjoint operator algebras,the Hardy algebras,and their representation theory.We view these algebras as algebras of (operator valued) functions on thei...In this expository paper,we describe the study of certain non-self-adjoint operator algebras,the Hardy algebras,and their representation theory.We view these algebras as algebras of (operator valued) functions on their spaces of representations.We will show that these spaces of representations can be parameterized as unit balls of certain W*-correspondences and the functions can be viewed as Schur class operator functions on these balls.We will provide evidence to show that the elements in these (non commutative) Hardy algebras behave very much like bounded analytic functions and the study of these algebras should be viewed as noncommutative function theory.展开更多
The logical sequence of China's state governance is "governing party--consultative conferences--people's congresses--the people." The "governing party--consultative conferences" link in the chain involves politi...The logical sequence of China's state governance is "governing party--consultative conferences--people's congresses--the people." The "governing party--consultative conferences" link in the chain involves political consultation through people's consultative conferences. The "governing party--consultative conferences--people's congresses" link involves a process of obtaining legitimacy for the Party's views based on political consultations which are then translated into the national will by the system of people's congresses. The "people's congresses--the people" link involves the two-pronged logic of elections and governing the country according to law. The "governing party--the people" link is an illustration of the party's mass line, which essentially involves social consultation. Consultative democracy usually includes the political consultation in the "governing party---consultative conferences" link and the social consultation in the "governing party-- the people" link in the chain, both of which are connected through the system of people's congresses. This logically determines the inner relations between the Party's leadership, consultative democracy and the people's congress form of representative democracy and shapes the institutionalization of consultative democracy. That is, in the process of democratic decision-making, a circular system consisting of "political consultation-- legislative consultation--social consultation" is created to guide development of the actual system.展开更多
This paper aims at developing a "local-global" approach for various types of finite dimensional algebras, especially those related to Hecke algebras. The eventual intention is to apply the methods and applic...This paper aims at developing a "local-global" approach for various types of finite dimensional algebras, especially those related to Hecke algebras. The eventual intention is to apply the methods and applications developed here to the cross-characteristic representation theory of finite groups of Lie type. We first review the notions of quasi-hereditary and stratified algebras over a Noetherian commutative ring. We prove that many global properties of these algebras hold if and only if they hold locally at every prime ideal. When the commutative ring is sufficiently good, it is often sufficient to check just the prime ideals of height at most one. These methods are applied to construct certain generalized q-Schur algebras, proving they are often quasi-hereditary(the "good" prime case) but always stratified. Finally, these results are used to prove a triangular decomposition matrix theorem for the modular representations of Hecke algebras at good primes. In the bad prime case, the generalized q-Schur algebras are at least stratified, and a block triangular analogue of the good prime case is proved, where the blocks correspond to Kazhdan-Lusztig cells.展开更多
This special issue of SCIENCE CHINA Mathematics commemorates the 7th International Conference on Representation Theory(ICRT VII)held at Huaqiao University,Xiamen,China from July 18 to July 23,2016.This 5-day conferenc...This special issue of SCIENCE CHINA Mathematics commemorates the 7th International Conference on Representation Theory(ICRT VII)held at Huaqiao University,Xiamen,China from July 18 to July 23,2016.This 5-day conference is devoted to the representation theory of algebraic groups,quantum groups and related finite groups and algebras.More than 80 experts and students from over 8 countries and regions attended this international conference.展开更多
Motivated by Sasaki's work on the extended Hensel construction for solving multivariate algebraic equations, we present a generalized Hensel lifting, which takes advantage of sparsity, for factoring bivariate polynom...Motivated by Sasaki's work on the extended Hensel construction for solving multivariate algebraic equations, we present a generalized Hensel lifting, which takes advantage of sparsity, for factoring bivariate polynomial over the rational number field. Another feature of the factorization algorithm presented in this article is a new recombination method, which can solve the extraneous factor problem before lifting based on numerical linear algebra. Both theoretical analysis and experimental data show that the algorithm is etIicient, especially for sparse bivariate polynomials.展开更多
基金Supported by the Key Laboratory of Resource Biology and Biotechnology in Western China of Ministry of Education (KH09030)the Special Fund for the Science and Technology of Science and Technology Department of Tibet Autonomous Region (20091012)the Scientific Research Program Funded by Shaanxi Provincial Education Department (2010JK862)~~
文摘Based on extensive literature search,the composition,pharmacology,clini cal applications of Passiflora foetida L,ecological characteristics were summarized with the aim to provide scientific data for further research and exploitation.
文摘In this paper, by using the Nevanlinna Theory on angular domain, we establish a theorem which concerns the growth of entire function and his zero. As an application, we survey the location of zero of higher order differential equation, which can be regarded as an alternating but precise version of Wu and Yi.
基金funded by the National Natural Science Foundation of China(Grant Nos.41601281,41701313)the National Key R&D Program of China(Grant No.2016YFE0202900)
文摘Erosion agents and patterns profoundly affect hillslope soil loss characteristics. However, few attempts have been made to analyze the effects of rainfall and inflow on soil erosion for hillslopes dominated by sheet erosion or rill erosion in the Chinese Mollisol region. The objective of this study was to discuss the erosive agent(rainfall or inflow), hillslope erosion pattern(sheet erosion or rill erosion) and slope gradient effects on runoff and soil losses. Two soil pans(2.0 m long, 0.5 m wide and 0.5 m deep) with 5° and 10° slopes were subjected to rainfall(0 and 70 mm h–1) and inflow(0 and 70 mm h–1) experiments. Three experimental combinations of rainfall intensity(RI) and inflow rate(IR) were tested using the same water supply of 70 mm by controllingthe run time. A flat soil surface and a soil bed with a straight initial rill were prepared manually, and represented hillslopes dominated by sheet erosion and rill erosion, respectively. The results showed that soil losses had greater differences among treatments than total runoff. Soil losses decreased in the order of RI70+IR70 > RI70+IR0 > RI0+IR70. Additionally, soil losses for hillslopes dominated by rill erosion were 1.7-2.2 times greater at 5° and 2.5-6.9 times greater at 10° than those for hillslopes dominated by sheet erosion. The loss of <0.25 mm soil particles and aggregates varying from 47.72%-99.60% of the total soil loss played a dominant role in the sediment. Compared with sheet erosion hillslopes, rill erosion hillslopes selectively transported more microaggregates under a relatively stable rill development stage, but rills transported increasinglymore macroaggregates under an active rill development stage. In conclusion, eliminating raindrop impact on relatively gentle hillslopes and preventing rill development on relatively steep hillslopes would be useful measures to decrease soil erosion and soil degradation in the Mollisol region of northeastern China.
基金supported by National Natural Science Foundation of China(Grant Nos.11171015 and 11301568)
文摘Let(Ω , E, P) be a probability space, F a sub-σ-algebra of E, L^p(E)(1 p +∞) the classical function space and LF^p(E) the L^0(F)-module generated by L^p(E), which can be made into a random normed module in a natural way. Up to the present time, there are three kinds of conditional risk measures, whose model spaces are L^∞(E), L^p(E)(1 p +∞) and LF^p(E)(1 p +∞) respectively, and a conditional convex dual representation theorem has been established for each kind. The purpose of this paper is to study the relations among the three kinds of conditional risk measures together with their representation theorems. We first establish the relation between L^p(E) and LF^p(E), namely LF^p(E) = Hcc(L^p(E)), which shows that LF^p(E)is exactly the countable concatenation hull of L^p(E). Based on the precise relation, we then prove that every L^0(F)-convex L^p(E)-conditional risk measure(1 p +∞) can be uniquely extended to an L^0(F)-convex LF^p(E)-conditional risk measure and that the dual representation theorem of the former can also be regarded as a special case of that of the latter, which shows that the study of L^p-conditional risk measures can be incorporated into that of LF^p(E)-conditional risk measures. In particular, in the process we find that combining the countable concatenation hull of a set and the local property of conditional risk measures is a very useful analytic skill that may considerably simplify and improve the study of L^0-convex conditional risk measures.
基金the National Natural Science Foundation of China (No. 10471093)
文摘A code is said to be a w-identifiable parent property code (or w-IPP code for short) if whenever d is a descendant of w (or fewer) codewords, and one can always identify at least one of the parents of d. Let C be an (N,w + 1,q)-code and C* an (w + 1)-color graph for C. If a graph G is a subgraph of C* and consists of w +1 edges with different colors, then G is called a (w +1)-pattern of C*. In this paper, we proved that C is a w-IPP code if and only if there exists at most one vertex with color degree more than 1 in any (w + 1)-pattern of C*.
文摘From September 22 to 27,a delegation of the Japan-China Association on Economy and Trade(JCAET),comprising more than 200 business people and the largest such delegation in history,visited China.When meet-ing with the delegation,Chinese Vice Premier Wang Yang said that China hopes to restart the high-level economic dialogue between the two countries soon,but Japan should show sincerity on historical and territorial issues.
基金supported by a grant from the U.S.-Israel Binational Science Foundation (Grant No. 200641)supported by the Technion V.P.R. Fund
文摘In this expository paper,we describe the study of certain non-self-adjoint operator algebras,the Hardy algebras,and their representation theory.We view these algebras as algebras of (operator valued) functions on their spaces of representations.We will show that these spaces of representations can be parameterized as unit balls of certain W*-correspondences and the functions can be viewed as Schur class operator functions on these balls.We will provide evidence to show that the elements in these (non commutative) Hardy algebras behave very much like bounded analytic functions and the study of these algebras should be viewed as noncommutative function theory.
基金This paper is the result of a major project of the Central Marxist Theoretical Research and Development Project and the National Social Science Foundation, "Comprehensively Promote Governance of the Country in Accordance with the Law" (2015MZD042) and a major project of the National Social Science Foundation (14DC027). Thanks to Prof. Zhang Hong, Prof. Qin Xiaojian and Prof.Li Dong for their help revising this paper as well as to the anonymous reviewers for their valuable suggestions.
文摘The logical sequence of China's state governance is "governing party--consultative conferences--people's congresses--the people." The "governing party--consultative conferences" link in the chain involves political consultation through people's consultative conferences. The "governing party--consultative conferences--people's congresses" link involves a process of obtaining legitimacy for the Party's views based on political consultations which are then translated into the national will by the system of people's congresses. The "people's congresses--the people" link involves the two-pronged logic of elections and governing the country according to law. The "governing party--the people" link is an illustration of the party's mass line, which essentially involves social consultation. Consultative democracy usually includes the political consultation in the "governing party---consultative conferences" link and the social consultation in the "governing party-- the people" link in the chain, both of which are connected through the system of people's congresses. This logically determines the inner relations between the Party's leadership, consultative democracy and the people's congress form of representative democracy and shapes the institutionalization of consultative democracy. That is, in the process of democratic decision-making, a circular system consisting of "political consultation-- legislative consultation--social consultation" is created to guide development of the actual system.
基金supported by a 2017 University of New South Wales Science Goldstar Grant(Jie Du)the Simons Foundation(Grant Nos. #359360(Brian Parshall) and #359363 (Leonard Scott))
文摘This paper aims at developing a "local-global" approach for various types of finite dimensional algebras, especially those related to Hecke algebras. The eventual intention is to apply the methods and applications developed here to the cross-characteristic representation theory of finite groups of Lie type. We first review the notions of quasi-hereditary and stratified algebras over a Noetherian commutative ring. We prove that many global properties of these algebras hold if and only if they hold locally at every prime ideal. When the commutative ring is sufficiently good, it is often sufficient to check just the prime ideals of height at most one. These methods are applied to construct certain generalized q-Schur algebras, proving they are often quasi-hereditary(the "good" prime case) but always stratified. Finally, these results are used to prove a triangular decomposition matrix theorem for the modular representations of Hecke algebras at good primes. In the bad prime case, the generalized q-Schur algebras are at least stratified, and a block triangular analogue of the good prime case is proved, where the blocks correspond to Kazhdan-Lusztig cells.
文摘This special issue of SCIENCE CHINA Mathematics commemorates the 7th International Conference on Representation Theory(ICRT VII)held at Huaqiao University,Xiamen,China from July 18 to July 23,2016.This 5-day conference is devoted to the representation theory of algebraic groups,quantum groups and related finite groups and algebras.More than 80 experts and students from over 8 countries and regions attended this international conference.
基金supported by National Natural Science Foundation of China(GrantNos.91118001 and 11170153)National Key Basic Research Project of China(Grant No.2011CB302400)Chongqing Science and Technology Commission Project(Grant No.cstc2013jjys40001)
文摘Motivated by Sasaki's work on the extended Hensel construction for solving multivariate algebraic equations, we present a generalized Hensel lifting, which takes advantage of sparsity, for factoring bivariate polynomial over the rational number field. Another feature of the factorization algorithm presented in this article is a new recombination method, which can solve the extraneous factor problem before lifting based on numerical linear algebra. Both theoretical analysis and experimental data show that the algorithm is etIicient, especially for sparse bivariate polynomials.