广义模同构及其在高等代数中的应用

本文用代数上的模和广义模同构的观点,讨论“高等代数”中的若干问题

A n 型完备例外序列的个数

利用垂直范畴与倾斜理论, 给出计算A n 型完备例外序列个数的归纳公式国家自然科学基金、福建省自然科学基金和教育部优秀青年教

Linking Watershed Nutrient Loads and Riverine Export to Reservoir Eutrophication:The Case of Shanzai Reservoir, Fujian Province

建立流域氮磷输出、河流输送与入库通量的分析方法,以福建省山仔水库为例,基于gIS技术分析乡镇、子流域的氮磷污染分布和来源构成,识别关键源区并探讨库区水质与流域污染输出和河流输送之间的关联性。结果表明,2009年山仔流域单位面积总氮输出负荷为13.4 kg n·HM-2·A-1(生活污水和化肥流失占64%),总磷输出负荷为0.82 kg P·HM-2·A-1(畜禽养殖和生活污水占90%),入库氮、磷负荷分别为3248 T n·A-1和192 T P·A-1,其中河流输入占62%和89%,环库区面源污染贡献小于2%;不同乡镇单位面积氮输出负荷为3.54~20.0 kg n·HM-2,磷输出负荷为0.38~2.50 kg P·HM-2,其中日溪乡和霍口乡临近库区,化肥流失与畜禽养殖污染最重。上游乡镇污染较轻,但生活污水比重大(42%~84%)。皇帝洞溪子流域污染最重(19.4 kg n·HM-2;1.95 kg P·HM-2),其次是霍口溪中下游和日溪子流域。库区总氮高值出现在坝区和日溪湾汊,总磷高值在小沧至霍口溪七里入口之间,水质有明显分区,与流域污染分布、河流输送和库区沉积物的释放相关联,河流输入对库区富营养化起决定性作用。流域氮磷输出负荷比值平均为16,库区水中氮磷比值在15~20之间,意味着该生态系统处于磷的弱限制,水华爆发风险较大,建议采取“分区整治流域污染、氮磷联合削减、畜禽养殖和磷肥流失优先控制“的富营养化防控策略。A quantitative analysis of watershed nitrogen(N)and phosphorus(P)loads,riverine export and other inputs to reservoir was conducted for Shanzai reservoir in Fujian Province.Spatial variation of N and P pollution and major components were interpreted at town and sub-watershed scale using GIS techniques,and the critical source area(CSA)was indentified.The linkage between reservoir water quality and watershed nutrients loading and riverine export fluxes was examined.Results revealed that total N and P loads per unit area of the Shan zai watershed were 13.4 kg N·hm-2·a-1and 0.82 kg P·hm-2·a-1,respectively.Domestic sewage and fertilizer runoff accounted for 64% of total N load,and livestock waste and domestic sewage shared 90% of total P load.Total N and P loads to the Shanzai reservoir were 3248 t N·a-1 and 192 t P·a-1,62% and 89% of which were through riverine transport and the remainder mostly from sediment release.Less than 2% of in puts were from non-point sources in the surrounding area.Town-level N and P loads per unit area ranged from 3.54~20.0 kg N·hm-2and 0.38~2.50 kg P·hm-2,respectively.Two towns(Rixi and Huokou) adjacent to the reservoir were identified as CSA of fertilizer runoff and livestock waste,while human sewage dominated the nutrient load(42%~84% of total)in other towns in the upstream area.Huangdidong subwatershed was the most polluted catchment(19.4 kg N·hm-2;1.95 kg P·hm-2),followed by the lower reaches of Huokou River and Rixi subwatershed.The high value of total N concentration was observed near the dam head and Rixi inlet,whereas high total P concentration was found in channel from Huokuo inlet to Xiaocang.The spatial variation of the nutrients level in the reservoir was highly associated with watershed nutrient loads,riverine export and sediment-water exchange,indicating that riverine input is the decisive factor contributing to eutrophication of the reservoir.The average N∶P ratio of the nutrient load was calculated as 16 for the whole watershed,which combined with the TN∶ TP ratio of 15~20 observed in reservoir surface water suggested that the reservoir ecosystem was weakly limited by P and tended to stimulate algal bloom.To mitigate eutrophication,reduction of both N and P pollution should be considered in those CSAs,with a priority given to P pollution from livestock and phosphate fertilizer loss.公益类科研院所专项(2011R1004-2); 中央高校基本科研业务费专项(厦门大学基础创新科研基金项目)(2012121053

有限表示型路代数完备例外序列的个数

学位：暂缺院系专业：数学系_暂缺学号：que00005

The Number of Exceptional Sequences of Type of D n,E 6,E 7,E 8

利用垂直范畴和倾斜理论，给出了dn、E6、E7、E8型完备例外序列的个数的计算公式.Applying the perpendicular categories and tilting theory,the author presents the deduced Fomulae to compute the number of the complete exceptional sequences of type D n,E 6,E 7,E 8.国家自然科学基金;福建省自然科学基

General ized Isomorphism of Modules and the Appl ication to Higher Algebra

国家教委面向21 世纪数学专业课程设置与教学改革项目摘要　本文用代数上的模和广义模同构的观点,讨论“高等代数”中的若干问题. Abstract 　Here the concept of generalized isomorphism of modules over algebras is int ro2 duced. Applying this new view point ,the authors discuss some problems on higher algebras

The Number of the Complete Exceptional Sequences of Type An

利用垂直范畴与倾斜理论，给出计算An型完备例外序列个数的归纳公式.By using the perpendicular categories and tilting theory,an inductive Formula to compute the number of the complete exceptional sequences of type An was presented.国家自然科学基金;福建省自然科学基金;教育部优秀青年教师资

Physical health care monitoring for people with serious mental illness

Background Current guidance suggests that we should monitor the physical health of people with serious mental illness and there has been a significant financial investment over recent years to provide this. Objectives To assess the effectiveness of physical health monitoring as a means of reducing morbidity, mortality and reduction in quality of life in people with serious mental illness. Search methods We searched the Cochrane Schizophrenia Group Trials Register (October 2009) which is based on regular searches of CINAHL, EMBASE, MEDLINE and PsycINFO. Selection criteria All randomised or quasi-randomised clinical trials focusing on physical health monitoring versus standard care or comparing i) self monitoring vs monitoring by health care professional; ii) simple vs complex monitoring; iii) specific vs non-specific checks iv) once only vs regular checks or v) comparison of different guidance. Data collection and analysis The authors (GT, AC, SM) independently screened search results and identified three studies as possibly fulfilling the review's criteria. On examination, however, all three were subsequently excluded. Main results We did not identify any randomised trials which assessed the effectiveness of physical health monitoring in people with serious mental illness. Authors' conclusions There is no evidence from randomised trials to support current guidance and practice. Guidance and practice are based on expert consensus, clinical experience and good intentions rather than high quality evidenc

General physical health advice for people with serious mental illness

There is currently much focus on provision of general physical health advice to people with serious mental illness and there has been increasing pressure for services to take responsibility for providing this. For the comparison of physical healthcare advice versus standard care we identified five studies (total n = 884) of limited quality. For measures of quality of life one trial found no difference (n = 54, 1 RCT, MD Lehman scale 0.00 CI -0.67 to 0.67) but another did (n = 407, 1 RCT, MD Quality of Life Medical Outcomes Scale - mental component 3.7 CI 1.7 to 5.6). There was no difference between groups for the outcome of death (n = 407, 1 RCT, RR 1.3 CI 0.3 to 6.0), for the outcome of uptake of ill-health prevention services, one study found percentages significantly greater in the advice group (n = 363, 1 RCT, MD 36.9 CI 33.1 to 40.7). Economic data were equivocal. Attrition was large (> 30%) but similar for both groups (n = 884, 5 RCTs, RR 1.18 CI 0.97 to 1.43). Comparisons of one type of physical healthcare advice with another were grossly underpowered and equivocal