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Deep Transfers of p-Class Tower Groups
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作者 Daniel C. Mayer 《Journal of Applied Mathematics and Physics》 2018年第1期36-50,共15页
Let p be a prime. For any finite p-group G, the deep transfers T H,G ' : H / H ' → G ' / G " from the maximal subgroups H of index (G:H) = p in G to the derived subgroup G ' are introduced as an ... Let p be a prime. For any finite p-group G, the deep transfers T H,G ' : H / H ' → G ' / G " from the maximal subgroups H of index (G:H) = p in G to the derived subgroup G ' are introduced as an innovative tool for identifying G uniquely by means of the family of kernels ùd(G) =(ker(T H,G ')) (G: H) = p. For all finite 3-groups G of coclass cc(G) = 1, the family ùd(G) is determined explicitly. The results are applied to the Galois groups G =Gal(F3 (∞)/ F) of the Hilbert 3-class towers of all real quadratic fields F = Q(√d) with fundamental discriminants d > 1, 3-class group Cl3(F) □ C3 × C3, and total 3-principalization in each of their four unramified cyclic cubic extensions E/F. A systematic statistical evaluation is given for the complete range 1 d 7, and a few exceptional cases are pointed out for 1 d 8. 展开更多
关键词 Hilbert p-Class Field Towers p-Class groups p-Principalization Quadratic FIELDS Dihedral FIELDS of Degree 2p Finite p-groups Two-Step Centralizers Polarization PRINCIPLE Descendant Trees p-Group Generation Algorithm p-Multiplicator RANK Relation RANK Generator RANK Deep Transfers Shallow Transfers Partial Order and Monotony PRINCIPLE of Artin Patterns Parametrized Polycyclic pc-Presentations Commutator Calculus
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Co-Periodicity Isomorphisms between Forests of Finite <I>p</I>-Groups
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作者 Daniel C. Mayer 《Advances in Pure Mathematics》 2018年第1期77-140,共64页
Based on a general theory of descendant trees of finite p-groups and the virtual periodicity isomorphisms between the branches of a coclass subtree, the behavior of algebraic invariants of the tree vertices and their ... Based on a general theory of descendant trees of finite p-groups and the virtual periodicity isomorphisms between the branches of a coclass subtree, the behavior of algebraic invariants of the tree vertices and their automorphism groups under these isomorphisms is described with simple transformation laws. For the tree of finite 3-groups with elementary bicyclic commutator qu-otient, the information content of each coclass subtree with metabelian main-line is shown to be finite. As a striking novelty in this paper, evidence is provided of co-periodicity isomorphisms between coclass forests which reduce the information content of the entire metabelian skeleton and a significant part of non-metabelian vertices to a finite amount of data. 展开更多
关键词 FINITE p-groups Descendant Trees Pro-p groups Coclass FORESTS Generator RANK Relation RANK Nuclear RANK Parametrized Polycyclic Pc-Presentations Automorphism groups Central Series Two-Step Centralizers Commutator Calculus Transfer Kernels Abelian Quotient Invariants p-Group Generation Algorithm
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Torsion in Groups of Integral Triangles
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作者 Will Murray 《Advances in Pure Mathematics》 2013年第1期116-120,共5页
Let 0<γ<π be a fixed pythagorean angle. We study the abelian group Hr of primitive integral triangles (a,b,c) for which the angle opposite side c is γ. Addition in Hr is defined by adding the angles β opposi... Let 0<γ<π be a fixed pythagorean angle. We study the abelian group Hr of primitive integral triangles (a,b,c) for which the angle opposite side c is γ. Addition in Hr is defined by adding the angles β opposite side b and modding out by π-γ. The only Hr for which the structure is known is Hπ/2, which is free abelian. We prove that for generalγ, Hr has an element of order two iff 2(1- cosγ) is a rational square, and it has elements of order three iff the cubic (2cosγ)x3-3x2+1=0 has a rational solution 0<x<1. This shows that the set of values ofγ for which Hr has two-torsion is dense in [0, π], and similarly for three-torsion. We also show that there is at most one copy of either Z2 or Z3 in Hr. Finally, we give some examples of higher order torsion elements in Hr. 展开更多
关键词 ABELIAN groups Cubic Equations Examples Free ABELIAN Geometric Constructions Group Theory INTEGRAL TRIANGLES Law of Cosines Primitive PYTHAGOREAN Angles PYTHAGOREAN TRIANGLES PYTHAGOREAN Triples Rational Squares Three-Torsion TORSION Torsion-Free Two-Torsion Triangle Geometry
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The Ancient Tea-Horse Road:A Testamentto Interaction and Inteyration between Ethnic Groups
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作者 Zhou Anyong Huang Wenjuan(Translated) 《China's Tibet》 2025年第3期34-39,共6页
Along the ancient Tea-Horse Road of thousands of miles between Sichuan and Xizang in Southwest China lies a centuries old courtyard.Commonly called the"Jiang Family Compound"or"Yu Xing Tea Store",t... Along the ancient Tea-Horse Road of thousands of miles between Sichuan and Xizang in Southwest China lies a centuries old courtyard.Commonly called the"Jiang Family Compound"or"Yu Xing Tea Store",this architecture situated in the old downtown area of Yingjing County in Ya'an City,Sichuan Province,was once the residence of the local tea merchants-the Jiang family. 展开更多
关键词 Yu Xing tea store ancient tea horse road Sichuan Xizang Sichuan province Jiang family compound Yingjing county ethnic groups Yaan city
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Periodic Bifurcations in Descendant Trees of Finite <i>p</i>-Groups 被引量:2
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作者 Daniel C. Mayer 《Advances in Pure Mathematics》 2015年第4期162-195,共34页
Theoretical background and an implementation of the p-group generation algorithm by Newman and O’Brien are used to provide computational evidence of a new type of periodically repeating patterns in pruned descendant ... Theoretical background and an implementation of the p-group generation algorithm by Newman and O’Brien are used to provide computational evidence of a new type of periodically repeating patterns in pruned descendant trees of finite p-groups. 展开更多
关键词 FINITE p-Group Central Series DESCENDANT TREE Pro-p GROUP Coclass TREE p-Covering GROUP Nuclear Rank Multifurcation Coclass Graph Parametrized Presentation Commutator Calculus Schur -GROUP
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Toric Heaps, Cyclic Reducibility, and Conjugacy in Coxeter Groups
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作者 Shih-Wei Chao Matthew Macauley 《Open Journal of Discrete Mathematics》 2019年第4期110-143,共34页
In 1986, G.X. Viennot introduced the theory of heaps of pieces as a visualization of Cartier and Foata’s “partially commutative monoids”. These are essentially labeled posets satisfying a few additional properties,... In 1986, G.X. Viennot introduced the theory of heaps of pieces as a visualization of Cartier and Foata’s “partially commutative monoids”. These are essentially labeled posets satisfying a few additional properties, and one natural setting where they arise is as models of reduced words in Coxeter groups. In this paper, we introduce a cyclic version of a heap, which loosely speaking, can be thought of as taking a heap and wrapping it into a cylinder. We call this object a toric heap, because we formalize it as a labeled toric poset, which is a cyclic version of an ordinary poset. Defining the category of toric heaps leads to the notion of certain morphisms such as toric extensions. We study toric heaps in Coxeter theory, because a cyclic shift of a reduced word is simply a conjugate by an initial or terminal generator. As such, we formalize and study a framework that we call cyclic reducibility in Coxeter theory, which is closely related to conjugacy. We introduce what it means for elements to be torically reduced, which is a stronger condition than simply being cyclically reduced. Along the way, we encounter a new class of elements that we call torically fully commutative (TFC), which are those that have a unique cyclic commutativity class, and comprise a strictly bigger class than the cyclically fully commutative (CFC) elements. We prove several cyclic analogues of results on fully commutative (FC) elements due to Stembridge. We conclude with how this framework fits into recent work in Coxeter groups, and we correct a minor flaw in a few recently published theorems. 展开更多
关键词 CONJUGACY Coxeter Group CFC Cyclic REDUCIBILITY Faux CFC Cyclically Fully COMMUTATIVE HEAP Logarithmic Morphism TFC Torically Fully COMMUTATIVE TORIC HEAP TORIC Poset TORIC REDUCIBILITY Trace Monoid
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Association of Erectile Dysfunction and Hypogonadism with Metabolic Syndrome in Men with Lower Urinary Tract Symptoms of Younger and Older Age Groups
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作者 Elena Novikova Vera Selyatitskaya +2 位作者 Igor Mitrofanov Boris Pinkhasov Ani Karapetyan 《Advances in Sexual Medicine》 2014年第4期55-64,共10页
The aim of this study was to evaluate the incidence and severity of erectile dysfunction (ED) and hypogonadism in 193 men presenting with lower urinary tract symptoms (LUTSs) in the younger (20 - 39 years old) and old... The aim of this study was to evaluate the incidence and severity of erectile dysfunction (ED) and hypogonadism in 193 men presenting with lower urinary tract symptoms (LUTSs) in the younger (20 - 39 years old) and older (40 - 60 years old) age groups depending on the presence of metabolic syndrome (MetS). Triglycerides, glucose and high-density lipoprotein cholesterol, serum total testosterone (TT), sex hormone-binding globulin, prostate-specific antigen, pituitary hormones levels were measured in serum. Standardized criteria (2009) were used to determine the prevalence of MetS. Patients were assessed based on the International Prostate Symptom Score (IPSS) and the IPSS-Quality of Life (IPSS-QoL) for LUTSs and the International Index of Erectile Function (IIEF) for ED. Hypogonadism was determined in accordance with the ISA, ISSAM, EAU, EAA and ASA recommendations. In men with MetS in the younger age group the incidence of ED was 2.4 times higher, and that of low TT level and hypogonadism was 8.4 times higher compared to men without the syndrome. In the older age group, an increased incidence of ED and low TT level in men with MetS compared to men without the syndrome was on the trend level, but the incidence of hypogonadism was for sure higher (by 1.6 times). In conclusion, the study showed that ED and hypogonadism are associated with MetS by a high degree of certainty in young men with LUTSs. In men of the older age group with LUTSs, the presence of MetS is not so clearly associated with ED and hypogonadism due to the fact that the incidence of these urogenital diseases is also high in men without MetS. 展开更多
关键词 Erectile Dysfunction TESTOSTERONE HYPOGONADISM Metabolic Syndrome MEN of YOUNGER and Older Age groups Lower URINARY TRACT Symptoms
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Periodic Sequences of p-Class Tower Groups
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作者 Daniel C. Mayer 《Journal of Applied Mathematics and Physics》 2015年第7期746-756,共11页
Recent examples of periodic bifurcations in descendant trees of finite p-groups with ?are used to show that the possible p-class tower groups G of certain multiquadratic fields K with p- class group of type (2,2,2) , ... Recent examples of periodic bifurcations in descendant trees of finite p-groups with ?are used to show that the possible p-class tower groups G of certain multiquadratic fields K with p- class group of type (2,2,2) , resp. (3,3), form periodic sequences in the descendant tree of the elementary Abelian root , resp. . The particular vertex of the periodic sequence which occurs as the p-class tower group G of an assigned field K is determined uniquely by the p-class number of a quadratic, resp. cubic, auxiliary field k, associated unambiguously to K. Consequently, the hard problem of identifying the p-class tower group G is reduced to an easy computation of low degree arithmetical invariants. 展开更多
关键词 p-Class Field Towers p-Principalization p-Class groups Quadratic FIELDS Multiquadratic FIELDS Cubic FIELDS Finite P-groups Parametrized Pc-Presentations P-GROUP Generation Algorithm
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Interannual succession of phytoplankton community in a canyon-shaped drinking water reservoir during the initial impoundment period:Taxonomic versus functional groups 被引量:1
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作者 Yi Hou Ya Cheng +6 位作者 Kai Li Meng Yang Kangzhe Huang Gang Ji Ruikang Xue Tinglin Huang Gang Wen 《Journal of Environmental Sciences》 2025年第5期454-468,共15页
During the initial impoundment period of a canyon-shaped reservoir,the water body fluctuated violently regarding water level,hydrological condition,and thermal stratification.These variations may alter the structure o... During the initial impoundment period of a canyon-shaped reservoir,the water body fluctuated violently regarding water level,hydrological condition,and thermal stratification.These variations may alter the structure of phytoplankton community,resulting in algal blooms and seriously threatening the ecological security of the reservoir.It is of great significance to understand the continuous changes of phytoplankton in the initial impoundment period for the protection of reservoir water quality.Therefore,a two-year in-situ monitoring study was conducted on water quality and phytoplankton in a representative canyonshaped reservoir named Sanhekou and the interannual changes of phytoplankton community and its response to environmental changes during the initial impoundment period were discussed at taxonomic versus functional classification levels.The results showed that the total nitrogen and permanganate index levels were relatively high in the first year due to rapid water storage and heavy rainfall input,and the more stable hydrological conditions in the second year promoted the increase of algae density and the transformation of community,and the proportion of cyanobacteria increased significantly.The succession order of phytoplankton in the first year of the initial impoundment periodwas Chlorophyta-Bacillariophyta-Chlorophyta,or J/F/X1-P/MP/W1-A/X1/MP,respectively.And the succession order in the second year was Cyanobacteria/Chlorophyta-Bacillariophyta-Chlorophyta,or L_(M)/G/P-P/A/X1-X1/J/G.Water temperature,relativewater column stability,mixing depth,and pHwere crucial factors affecting phytoplankton community succession.This study revealed the interannual succession law and driving factors of phytoplankton in the initial impoundment period and provided an important reference for the operation management and ecological protection of canyon-shaped reservoirs. 展开更多
关键词 Canyon-shaped reservoir Functional groups Initial impoundment Interannual succession Water quality
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REPRESENTATION OF STATISTICAL PROPERTIES OF WAVE GROUPS FOR SEA PROCESSES WITH DOUBLE-PEAKED SPECTRA
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作者 林维琪 黄培基 《Chinese Journal of Oceanology and Limnology》 SCIE CAS CSCD 1994年第1期22-29,共8页
A method using group-induced second-order long waves(GSLW) to represent statistical properties of wave groups with double-peaked spectra is put forward in this paper on the basis of the GSLW theory. The GSLW is regard... A method using group-induced second-order long waves(GSLW) to represent statistical properties of wave groups with double-peaked spectra is put forward in this paper on the basis of the GSLW theory. The GSLW is regarded as a weighted linear superimposition of the second-order long Wave induced by the low peak frequency section and that induced by the high peak frequency section. There is a parabolic relationship between the GSLW and the wave envelope. Then the probability density function and the distribution function of the GSLW amplitude are derived. Thus the formulas for the average time duration and the mean length of runs can be derived. Good agreement between theoretical results and measured values was achieved. as verified with the measured double-peaked spectra in different regions. 展开更多
关键词 wave groups group induced SECOND-ORDER long waves double-peaked SPECTRA average time DURATION mean length of RUNS
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Carbon nitride quantum dots decorated with cyano groups for boosting photocatalytic hydrogen peroxide production
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作者 Ke Kong Hong Zhong +3 位作者 Dejian Chen Fushuai Zhang Xiaoju Li Ruihu Wang 《Green Energy & Environment》 2025年第7期1551-1558,共8页
The photocatalytic hydrogen peroxide(H_(2)O_(2))production by graphitic carbon nitride is a sustainable and environment-benign alternative approach of conventional anthraquinone autoxidation technology,but it is great... The photocatalytic hydrogen peroxide(H_(2)O_(2))production by graphitic carbon nitride is a sustainable and environment-benign alternative approach of conventional anthraquinone autoxidation technology,but it is great challenges to promote two-electron O_(2)reduction and water oxidation.Herein,we present the well-dispersed graphitic carbon nitride quantum dots decorated with cyano groups(Na-CNQD and K-CNQD)by thermal polymerization of melamine in the presence of metal fluoride.The quantum confinement and edge effect have endowed the photocatalysts with rich active sites,wide light absorption range and the inhibited charge recombination.The cyano moieties function as O_(2)reduction centers to accept the photogenerated electrons and facilitate their rapid transfer to O_(2)molecules.This process enables the selective two-electron reduction of O_(2),leading to the production of H_(2)O_(2).Concurrently,the valence band holes on the heptazine moiety oxidize water into H_(2)O_(2).These synergistic effects promote photocatalytic H_(2)O_(2)production from O_(2)and H_(2)O without the need for additional photosensitizers,organic scavengers and co-catalysts.In contrast,pristine carbon nitride nanosheets remain inactive under the same conditions.This study offers new strategies for rational design of carbon-based materials for solar-to-chemical energy conversion. 展开更多
关键词 PHOTOCATALYSIS Carbon nitride Hydrogen peroxide Quantum dots Cyano groups
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Groups 3 and 4 single-site catalysts for olefin-polar monomer copolymerization
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作者 Chengkai Li Guoqiang Fan +2 位作者 Gang Zheng Rong Gao Li Liu 《Chinese Chemical Letters》 2025年第9期34-45,共12页
Introducing functional polar groups into polyolefins can significantly improve the material properties,but there are still challenges in achieving this goal,with the core difficulty being that polar groups are prone t... Introducing functional polar groups into polyolefins can significantly improve the material properties,but there are still challenges in achieving this goal,with the core difficulty being that polar groups are prone to interact with metal active species,affecting the efficiency of the copolymerization.With the rapid advancement in catalyst,a variety of copolymerization strategies are developed aimed at producing more versatile polyolefin materials.Although early transition metal catalysts play an indispensable role in the traditional polyolefin industry,their inherent strong oxophilicity becomes a significant constraint in copolymerization involving polar olefins,limiting their application scope.This review summarizes the progress made in recent years in the efficient copolymerization of non-polar olefins with polar comonomers catalyzed by groups 3 and 4 single-site catalysts.We classify the catalysts into four categories,Sc-,Ti-,Zr-,Hf-,based on the type of metal centers,and provide insights into the influence of catalyst structures and the type of comonomers on the copolymerization behavior.The introduction of polar monomers fundamentally improves the comprehensive performance of the products,greatly broadens the application scope of polyolefin materials,and meets the growing market demand for multifunctional and high-performance materials. 展开更多
关键词 Single-site catalysts groups 3 and 4 metal Polar monomers COPOLYMERIZATION Physical properties
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Research Progress of Abrasive Groups Ordered Grinding Wheels
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作者 Ye Guo Bing Chen +3 位作者 Zihao Liu Shiwei Sun Guoyue Liu Bing Guo 《Chinese Journal of Mechanical Engineering》 2025年第3期177-208,共32页
Because the grinding temperature is high when grinding using conventional disordered grinding wheels,the grinding quality improvement is limited when using single abrasive ordered grinding wheels,and the wheel prepara... Because the grinding temperature is high when grinding using conventional disordered grinding wheels,the grinding quality improvement is limited when using single abrasive ordered grinding wheels,and the wheel preparation process is complex and costly when using microstructured grinding wheels,abrasive groups ordered grinding wheels are widely investigated.However,there is a paucity of systematic analyses and comprehensive reviews focused on abrasive groups ordered grinding wheels.Therefore,this paper defines abrasive groups ordered grinding wheels and classifies them,based on their unique characteristics,into groups such as abrasive blocks ordered grinding wheel,fine grain structured grinding wheel,abrasive clusters ordered grinding wheel,and abrasive fibers ordered grinding wheel.We provide an overview of the latest advances in wheel structures,preparation methods,and abrasive selection for various types of abrasive groups ordered grinding wheels.Furthermore,we conduct a comparative analysis of the existing types,significant advantages,and challenges associated with the four types of abrasive groups ordered grinding wheels.Looking ahead,given the potential of abrasive groups ordered grinding wheels in reducing grinding force and temperature,we recommend further exploration of their application in combination with special processing techniques.This could pave the way for the development of machining processes that are more environmentally friendly,energy-efficient,and precise. 展开更多
关键词 Abrasive groups ordered grinding wheels Abrasive blocks Fine grain structured Abrasive clusters Abrasive fibers
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Methyl Groups Pendant on Triphenylmethane Toward Modulating Thermal Stability and Dielectric Properties of the Crosslinkable Fluorinated Polyimide Films with High Transparency
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作者 Wen Yang Liang Yuan +3 位作者 Kai Gong Ruo-Han Zhang Lan Lei Hui Li 《Chinese Journal of Polymer Science》 2025年第2期316-327,共12页
It is urgent to develop high-performance polyimide(PI)films that simultaneously exhibit high transparency,exceptional thermal stability,mechanical robustness,and low dielectric to fulfil the requirements of flexible d... It is urgent to develop high-performance polyimide(PI)films that simultaneously exhibit high transparency,exceptional thermal stability,mechanical robustness,and low dielectric to fulfil the requirements of flexible display technologies.Herein,a series of fluorinated polyimide films(FPIs)were fabricated by the condensation of 5,5′-(perfluoropropane-2,2-diyl)bis(isobenzofuran-1,3-dione)(6FDA)and the fluorinated triphenylmethane diamine monomer(EDA,MEDA and DMEDA)with heat-crosslinkable tetrafluorostyrene side groups,which was incorporated by different numbers of methyl groups pendant in the ortho position of amino groups.Subsequently,the FPI films underwent heating to produce crosslinking FPIs(C-FPIs)through the self-crosslinking of double bonds in the tetrafluorostyrene.The transparency,solvent resistance,thermal stability,mechanical robustness and dielectric properties of FPI and C-FPI films can be tuned by the number of methyl groups and crosslinking,which were deeply investigated by virtue of molecular dynamics(MD)simulations and density functional theory(DFT).As a result,all the films exhibited exceptional optically colorless and transparent,with transmittance in the visible region of 450-700 nm exceeding 79.9%,and the cut-off wavelengths(λ_(off))were nearly 350 nm.The thermal decomposition temperatures at 5% weight loss(T_(d5%))for all samples exceeded 504℃.These films exhibited a wide range of tunable tensile strength(46.5-75.1 MPa).Significantly,they showed exceptional dielectric properties with the dielectric constant of 2.3-2.5 at full frequency(10^(7)-20 Hz).This study not only highlights the relationship between the polymer molecular structure and properties,but offer insights for balancing optical transparency,heat resistance and low dielectric constant in PI films. 展开更多
关键词 Crosslinkable fluorinated polyimide Methyl group Triphenylmethane TRANSPARENCY Thermal stability Low dielectric constant
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Value Evaluation for Urban Medical Groups in China:A Case From Dapeng New District in Shenzhen
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作者 Yan Cui Leiyu Shi +2 位作者 Shilan Tang Yansui Yang Lijie Ren 《Health Care Science》 2025年第3期206-214,共9页
Background:An urban medical group in Dapeng New District was established in 2017 with the objective of enhancing outcomes for common diseases and reinforcing primary care by integrating high‐level hospitals with prim... Background:An urban medical group in Dapeng New District was established in 2017 with the objective of enhancing outcomes for common diseases and reinforcing primary care by integrating high‐level hospitals with primary health services.This study aimed to evaluate the performance of the urban medical group using the triangular value chain framework.Methods:The evaluation was conducted using the Donabedian model,focusing on three key dimensions:safety and quality,accessibility,and affordability.Longitudinal data were collected from 2016 to 2022 through government annual reports,the medical insurance bureau,and hospital information systems.Preprogram and postprogram outcome measurements were compared to assess differences and trends,providing a clear picture of the program's effectiveness.Results:Accessibility improved significantly,with the number of hospital beds per 1000 residents increasing from 2.62 in 2017 to 3.76 in 2022.The availability of general practitioners(GPs)also rose markedly,from 0 per 10,000 residents in 2017 to 6.27 in 2022.Regarding safety and quality,the proportion of complex medical procedures conducted within the New District expanded substantially,from 7.35%in 2017 to 38.11%in 2021.Additionally,there was an enhancement in the standardized management rate of chronic diseases.Affordability assessments showed that the proportion of medical income derived from the medical insurance fund increased by nearly 22.81 percentage points between 2012 and 2021.By 2021,75.02%of medical patients were covered by medical insurance,representing an increase of approximately 44 percentage points from 31.19%in 2012.Conclusions:The implementation of the urban medical group in Dapeng New District has led to substantial improvements in healthcare accessibility,safety and quality,and affordability.Future initiatives will focus on advancing the“Dapeng Mode”to generate exemplary healthcare outcomes and minimize disparities in basic health services and health status between urban and rural populations.The reform agenda includes piloting payment reforms and innovative payment models within the Dapeng group,complemented by a health assessment and performance incentive system aimed at encouraging healthcare institutions to prioritize health management. 展开更多
关键词 Donabedian model integrated care medical consortium triangular value chain triple aims urban medical group value evaluation
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STATISTICAL PROPERTIES OF WAVE GROUPS DESCRIBED BY GROUP-INDUCED LONG WAVES
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作者 林维琪 黄培基 《Chinese Journal of Oceanology and Limnology》 SCIE CAS CSCD 1992年第1期57-67,共11页
A new method using group-induced second-order long waves (GSLW) to describe wave groups is presented in this paper on the basis of the GSLW theory by Longuet- Higgins and Steward (1964) . In the method , the parabolic... A new method using group-induced second-order long waves (GSLW) to describe wave groups is presented in this paper on the basis of the GSLW theory by Longuet- Higgins and Steward (1964) . In the method , the parabolic relationship between GSLW and the wave envelope is first deduced , and then the distribution function of GSLW amplitude is derived . Thus, the formulae in terms of the moments of GSLW and short wave spectra for the average time duration and the mean length of runs of wave heights exceeding a certain level can be derived . A new groupiness factor equivalent to half the mean wave number in wave groups is defined by taking into account the widths of spectra of GSLW and short waves . Compared with theoretical results of others , ours are closer to measured wave data . 展开更多
关键词 WAVE group group- INDUCED second- order long WAVE average time DURATION mean length of RUNS groupiness factor
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Synthesis and Properties of Novel A-D-A Type Molecules with Non-Fused Azacyclic End Groups
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作者 Liu Wenrui Yin Zhengchun +3 位作者 Ye Shiqi Xu Zhiwei Chen Long Wang Guanwu 《有机化学》 北大核心 2025年第4期1325-1333,共9页
Acceptor-donor-acceptor(A-D-A)type molecules,of which the novel non-fused azacyclic end-group pyrazoli-nones were modified with chlorine substitution on the phenyl ring,were synthesized.The non-fused azacyclic end-gro... Acceptor-donor-acceptor(A-D-A)type molecules,of which the novel non-fused azacyclic end-group pyrazoli-nones were modified with chlorine substitution on the phenyl ring,were synthesized.The non-fused azacyclic end-group py-razolinones have the advantages of simple synthesis steps,low cost and environmental friendliness,compared to the classical end-group dicyanomethyleneindianone.The properties of the synthesized A-D-A type molecules with non-fused azacyclic end groups were characterized by theoretical calculation,UV-vis absorption,cyclic voltammetry,X-ray diffraction and space charge limited current.It is shown that the strong UV-vis absorptions of the synthesized A-D-A type molecules are located in the wavelength range of 500~700 nm,with a moderate band gap of nearly 1.7 eV.At the same time,the influence of end-group chlorination on the properties of A-D-A type molecules was compared and explored.It is proven that this kind of A-D-A type molecule with non-fused azacyclic end groups has the potential to be applied as interfacial modified layer of the active layer in perovskite solar cell devices. 展开更多
关键词 A-D-A type molecule n-type semiconductor Non-fused end groups Medium bandgap
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Research on the Protection of Vulnerable Groups in Water Pollution Conflicts Based on Binomial Tree Pricing Model
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作者 Yanping Chen Tiejun Cheng Fengping Wu 《Journal of Water Resource and Protection》 2015年第8期659-664,共6页
The interests of vulnerable groups can’t be guaranteed due to their weaker capacity and the limited interests demand channels during the water pollution conflicts. The interest protection for the vulnerable people in... The interests of vulnerable groups can’t be guaranteed due to their weaker capacity and the limited interests demand channels during the water pollution conflicts. The interest protection for the vulnerable people in the water pollution conflicts has attracted attentions of the international scholars. The paper tries to construct the market mechanism which can make the vulnerable people to involve in the emission trading. The vulnerable people can buy American put option in the emission trading market. When the price of the emission runs below the contract price, the vulnerable people can get the benefit through executing the option. When the price of the emission runs above the contract price, the vulnerable people can give up the right. The binomial tree option pricing model can help the vulnerable people to make a decision through the analysis of the worth of the American put option. 展开更多
关键词 VULNERABLE groups Water Pollution Conflicts Emission TRADING American PUT OPTION BINOMIAL Tree OPTION PRICING Model
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Charged functional groups modified porous spherical hollow carbon material as CDI electrode for salty water desalination
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作者 Yushan Ni Yunlong Pu +3 位作者 Jie Zhang Weiyan Cui Mingjun Gao Dongjiang You 《Journal of Environmental Sciences》 2025年第3期254-267,共14页
As a new electrochemical technology,capacitive deionization(CDI)has been increasingly applied in environmental water treatment and seawater desalination.In this study,functional groups modified porous hollow carbon(HC... As a new electrochemical technology,capacitive deionization(CDI)has been increasingly applied in environmental water treatment and seawater desalination.In this study,functional groups modified porous hollow carbon(HC)were synthesized as CDI electrode material for removing Na^(+)and Cl^(−)in salty water.Results showed that the average diameter of HC was approximately 180 nm,and the infrared spectrum showed that its surface was successfully modified with sulfonic and amino groups,respectively.The sulfonic acid functionalized HC(HC-S)showed better electrochemical and desalting performance than the amino-functionalized HC(HC–N),with a maximum Faradic capacity of 287.4 F/g and an adsorptive capacity of 112.97 mg/g for NaCl.Additionally,92.63%capacity retention after 100 adsorption/desorption cycles demonstrates the excellent stability of HC-S.The main findings prove that HC-S is viable as an electrodematerial for desalination by high-performance CDI applications. 展开更多
关键词 Hollow carbon Functional groups DESALINATION Capacitive deionization
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An S-scheme heterojunction engineered with spatially separated dual active groups for simultaneously photocatalytic CO_(2)reduction and ciprofloxacin oxidation
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作者 Xinyue Li Haili Lin +2 位作者 Xuemei Jia Shifu Chen Jing Cao 《Chinese Journal of Catalysis》 2025年第6期205-221,共17页
Solar-driven CO_(2)conversion and pollutant removal with an S-scheme heterojunction provides promising approach to alleviate energy shortage and environmental crisis,yet the comprehensive regulation of the charge sepa... Solar-driven CO_(2)conversion and pollutant removal with an S-scheme heterojunction provides promising approach to alleviate energy shortage and environmental crisis,yet the comprehensive regulation of the charge separation and the activation sites of reactant molecules remains challenging.Herein,a dual-active groups regulated S-scheme heterojunction for hydroxy-regulated BiOBr modified amino-functionalized g-C_(3)N_(4)(labeled as HBOB/ACN)was designed by spatially separated dual sites with hydroxyl group(OH)and amino group(NH_(2))toward simultaneously photocatalytic CO_(2)reduction and ciprofloxacin(CIP)oxidation.The optimized HBOB/ACN delivers around 2.74-fold CO yield rate and 1.61-times CIP removal rate in comparison to BiOBr/g-C_(3)N_(4)(BOB/CN)without surface groups,which chiefly ascribed the synergistic effect of OH and NH_(2)group.A series of experiments and theoretical calculation unveiled that the OH and NH_(2)group trapped holes and electrons to participate in CIP oxidation and CO_(2)reduction,respectively.Besides,dual-functional coupled reaction system realized the complete utilization of carriers.This work affords deep insights for dual-group modified S-scheme heterojunctions with redox active sites toward dual-functional coupled reaction system for environment purification and solar fuel production. 展开更多
关键词 Coupled reaction system S-scheme heterojunction Hydroxyl group Amino group Dual active sites
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