IntroductionGastric cancer is one of the most common cancers and one of the most frequent causes of cancer deaths worldwide. Early detection and accurate preoperative staging of gastric cancer is essential for plannin...IntroductionGastric cancer is one of the most common cancers and one of the most frequent causes of cancer deaths worldwide. Early detection and accurate preoperative staging of gastric cancer is essential for planning optimal therapy such as endoscopic mucosal resection or gastric resection and offers the best prognosis. With advanced technology in diagnostic instruments and the mass screening, early gastric cancer has been detected easier. One-point cancer of gastric is a special type of early gastric cancer. Diagnosis of one-point cancer of gastric is important for both the immediate treatment and the prognosis. There is still no consensus on the operation extent and postoperative treatment for patients with one-point cancer of gastric. Learned from previous reports, we know that existed in the superficial layer of the gastric mucosa and the superficial ulcer is one of the important characteristics of one point cancer of gastric. Herein, we report a case of one point cancer of gastric with the appearance of a deep infiltrating ulcer. To the best of our knowledge, no such type of one point cancer of gastric has been reported.展开更多
Carcinoma of the stomach is the most common malignant tumor in China. Due to advanced endoscopic techniques and equipment, the detection of early gastric carcinoma (EGC) has increased worldwide. Yet gastric one-poin...Carcinoma of the stomach is the most common malignant tumor in China. Due to advanced endoscopic techniques and equipment, the detection of early gastric carcinoma (EGC) has increased worldwide. Yet gastric one-point cancer is rarely detected.展开更多
The Sichuan-Yunnan-Guizhou(SYG)metallogenic province of southwest China is one of the most important Zn-Pb ore zones in China,with^200 Mt ZnPb ores at mean grades of 10 wt.%Zn and 5 wt.%Pb.The source and mechanism of ...The Sichuan-Yunnan-Guizhou(SYG)metallogenic province of southwest China is one of the most important Zn-Pb ore zones in China,with^200 Mt ZnPb ores at mean grades of 10 wt.%Zn and 5 wt.%Pb.The source and mechanism of the regional Zn-Pb mineralization remain controversial despite many investigations that have been conducted.The Wusihe Zn-Pb deposit is a representative large-scale Zn-Pb deposit in the northern SYG,which mainly occurs in the Dengying Formation and yields Zn-Pb resources of^3.7 Mt.In this paper,Zn and S isotopes,and Fe and Cd contents of sphalerite from the Wusihe deposit were investigated in an attempt to constrain the controls on Zn and S isotopic variations,the potential sources of ore-forming components,and the possible mineralization mechanisms.Both theδ66Zn andδ34S values in sphalerite from the Wusihe deposit increase systematically from the bottom to the top of the strata-bound orebodies.Such spatial evolution inδ66Zn andδ34S values of sphalerite can be attributed to isotopic Rayleigh fractionation during sphalerite precipitation with temperature variations.The strong correlations between the Zn-S isotopic compositions and Fe-Cd concentrations in sphalerite suggest that their variations were dominated by a similar mechanism.However,the Rayleigh fractionation mechanism cannot explain the spatial variations of Fe and Cd concentrations of sphalerite in this deposit.It is noted that the bottom and top sphalerites from the strata-bound orebodies document contrasting Zn and S isotopic compositions which correspond to the Zn and S isotopic characteristics of basement rocks and host rocks,respectively.Therefore,the mixing of two-source fluids with distinct Zn-S isotopic signatures was responsible for the spatial variations of Zn-S isotopic compositions of sphalerite from the Wusihe deposit.The fluids from basement rocks are characterized by relatively lighter Zn(~0.2‰)and S(~5‰)isotopic compositions while the fluids from host rocks are marked by relatively heavier Zn(~0.6‰)and S(~15‰)isotopic compositions.展开更多
To predict the soil-water characteristic curve(i.e.SWCC)of natural and remoulded Malan loess from soil physical properties,one-point methods for determining the SWCC that are much simpler than experimental methods are...To predict the soil-water characteristic curve(i.e.SWCC)of natural and remoulded Malan loess from soil physical properties,one-point methods for determining the SWCC that are much simpler than experimental methods are proposed.The predicted SWCC is presented in the form of the BRUTSAERT equation,in which the four model parameters can be estimated from soil physical properties using the best correlations obtained in the present study along with one measured data point.The proposed one-point methods are validated using the measured SWCC data reported in the literature.The results of validation studies suggest that the proposed one-point methods can provide reasonable prediction of the SWCC for natural and remoulded Malan loess.The measured data point should be within the transition zone;the measured suction is suggested between25to100kPa for natural loess,while between100to500kPa for remoulded loess.展开更多
XueBiJing is an intravenous five-herb injection used to treat sepsis in China.The study aimed to develop a liquid chromatography-tandem mass spectrometry(LC-MS/MS)-or liquid chromatography-ultraviolet(LC-UV)-based ass...XueBiJing is an intravenous five-herb injection used to treat sepsis in China.The study aimed to develop a liquid chromatography-tandem mass spectrometry(LC-MS/MS)-or liquid chromatography-ultraviolet(LC-UV)-based assay for quality evaluation of XueBiJing.Assay development involved identifying marker constituents to make the assay therapeutically relevant and building a reliable one-point calibrator for monitoring the various analytes in parallel.Nine marker constituents from the five herbs were selected based on XueBiJing's chemical composition,pharmacokinetics,and pharmacodynamics.A selectivity test(for“similarity of response”)was developed to identify and minimize interference by nontarget constituents.Then,an intercept test was developed to fulfill“linearity through zero”for each analyte(absolute ratio of intercept to C response,<2%).Using the newly developed assays,we analyzed samples from 33 batches of XueBiJing,manufactured over three years,and found small batch-to-batch variability in contents of the marker constituents(4.1%-14.8%),except for senkyunolide I(26.5%).展开更多
Based on monthly mean sea level pressure and 500 hPa height data for a 20-year period simulated by IAP 2L AGCM, teleconnection patterns in the Northern Hemisphere appearing in the model are identified and compared wit...Based on monthly mean sea level pressure and 500 hPa height data for a 20-year period simulated by IAP 2L AGCM, teleconnection patterns in the Northern Hemisphere appearing in the model are identified and compared with observations. The results show that almost all of the observed teleconnection patterns in the Northern winter can be reproduced by the model, thus these patterns exist in the atmosphere without any external anomalies. On the other hand, the simulated teleconnection patterns are more dependent on each other than the observed, i.e., they are lack of spatial orthogonality among them, therefore, it is possible that more complex patterns will appear under the action of anomalous external factors. Besides, the simulated teleconnection patterns in summer are greatly different from those in winter, in particular, its scale in summer is much less than that in winter.展开更多
Seasonal interaction between sea-surface temperature (SST) in the tropical eastern Pacific and ozone layer in Northern Hemisphere, ahd the layer,s teleconnection spatial structure caused by SST effeets, for January a...Seasonal interaction between sea-surface temperature (SST) in the tropical eastern Pacific and ozone layer in Northern Hemisphere, ahd the layer,s teleconnection spatial structure caused by SST effeets, for January and July, are statistically analysed. The result indicates that the areas spacially correlated between SST and ozone layer in January greatly differ from the ones in July and they show opposite tendency in the signs of correlation, so do the teleconnection pattern for the ozone lay6r due to effects of SST in different seasons. In addition, persistent' influence of SST on the ozone layer results insuperposition of seasonal SST effects on the layer and makes it characteristic of well-defined wavetrainsin responses to SST. It is concluded that SST in the tropical eastern Pacific is of great importance to thenorthern ozone layer distribution and its seasonal evolution.展开更多
Both mathematics and art consistently reflect the spirit of the age in which they arise. Consequently, the mathematics in China and in Korea during the Joseon Dynasty, in contrast to the deductive western mathematics,...Both mathematics and art consistently reflect the spirit of the age in which they arise. Consequently, the mathematics in China and in Korea during the Joseon Dynasty, in contrast to the deductive western mathematics, does not function on the basis of proving something deductively. Rather, the Chinese mathematics from this period was based upon making observations about problems by combining patterns with specific examples. In this paper, this author attempts to compare the differences in mathematics between the East and the West, and also to study the different perspectives in art between the East and the West, in order to identify the relationship between civilization, culture and the spirit of the age. This will explain the reason why the Western 'One Point Perspective' had spread in China and the Chosen Dynasty, yet could not be permanently established in these countries.展开更多
This paper is devoted to studying the recollement of the categories of finitely generated modules over finite dimensional algebras. We prove that for algebras A, B and C, if A-mod admits a recollement relative to B-mo...This paper is devoted to studying the recollement of the categories of finitely generated modules over finite dimensional algebras. We prove that for algebras A, B and C, if A-mod admits a recollement relative to B-mod and C-mod, then A[R]-mod admits a recollement relative to B[S]-mod and C-mod, where A[R]and B[S]are the one-point extensions of A by R and of B by S.展开更多
This paper considers the distributed online optimization(DOO) problem over time-varying unbalanced networks, where gradient information is explicitly unknown. To address this issue, a privacy-preserving distributed on...This paper considers the distributed online optimization(DOO) problem over time-varying unbalanced networks, where gradient information is explicitly unknown. To address this issue, a privacy-preserving distributed online one-point residual feedback(OPRF) optimization algorithm is proposed. This algorithm updates decision variables by leveraging one-point residual feedback to estimate the true gradient information. It can achieve the same performance as the two-point feedback scheme while only requiring a single function value query per iteration. Additionally, it effectively eliminates the effect of time-varying unbalanced graphs by dynamically constructing row stochastic matrices. Furthermore, compared to other distributed optimization algorithms that only consider explicitly unknown cost functions, this paper also addresses the issue of privacy information leakage of nodes. Theoretical analysis demonstrate that the method attains sublinear regret while protecting the privacy information of agents. Finally, numerical experiments on distributed collaborative localization problem and federated learning confirm the effectiveness of the algorithm.展开更多
Understanding the controls on seasonal variation of energy partitioning and separation between canopy and soil surface are important for qualifying the vegetation feedback to climate system.Using observed day-to-day v...Understanding the controls on seasonal variation of energy partitioning and separation between canopy and soil surface are important for qualifying the vegetation feedback to climate system.Using observed day-to-day variations of energy balance components including net radiation,sensible heat flux,latent heat flux ground heat flux,and meteorological variables combined with an energy-balanced two-source model,energy partitioning were investigated at six sites in Heihe River Basin from 2014 to 2016.Bowen ratio(β) among the six sites exhibited significant seasonal variations while showed smaller inter-annual fluctuations.All ecosystems exhibit a "U-shaped" pattern,characterized by smaller value of β in growing season,with a minimum value in July,and fluctuating day to day.During the growing season,average Bowen ratio was the highest for the alpine swamp meadow(0.60 ± 0.30),followed by the desert riparian forest Populus euphratica(0.47 ± 0.72),the alpine desert(0.46 ± 0.10),the Tamarix ramosissima desert riparian shrub ecosystem(0.33 ± 0.57),alpine meadow ecosystem(0.32 ± 0.17),and cropland ecosystem(0.27 ± 0.46).The agreement of Bowen ratio between simulated and observed values demonstrated that the two-source model is a promising tool for energy partitioning and separation between canopy and soil surface.The importance of biophysical control explains the convergence of seasonal and annual patterns of Bowen ratio for all ecosystems,and the changes in Bowen ratio showed divergence among varied ecosystems because of different physiological responses to energy flow pathways between canopy and soil surface.展开更多
Let A be a basic, connected and finite-dimensional algebra over an algebraically closed field k. A tilting module A^T is called separating if the torsion theory (F(A^T), G(A^T)) induced by A^T is splitting in A-mod, i...Let A be a basic, connected and finite-dimensional algebra over an algebraically closed field k. A tilting module A^T is called separating if the torsion theory (F(A^T), G(A^T)) induced by A^T is splitting in A-mod, i. e. any indecomposable module A^M belongs either to F(A^T) or to G(A^T). In this note we prove the following main result by using the representation theory of representation-infinite hereditary algebra.展开更多
An element decomposition method with variance strain stabilization(EDM-VSS) is proposed. In the present EDM-VSS, the quadrilateral element is first divided into four sub-triangular cells, and the local strains in sub-...An element decomposition method with variance strain stabilization(EDM-VSS) is proposed. In the present EDM-VSS, the quadrilateral element is first divided into four sub-triangular cells, and the local strains in sub-triangular cells are obtained using linear interpolation function. For each quadrilateral element, the strain of the whole quadrilateral is the weighted average value of the local strains, which means only one integration point is adopted to construct the stiffness matrix. The stabilization item of the stiffness matrix is constructed by variance of the local strains, which can eliminate the instability of the one-point integration formulation and largely increase the accuracy of the element. Compared with conventional full integration quadrilateral element, the EDM-VSS achieves more accurate results and expends much lower computational cost. More importantly, as no mapping or coordinate transformation is involved in the present EDM-VSS, the restriction on the conventional quadrilateral elements can be removed and problem domain can be discretized in more flexible ways. To verify the accuracy and stability of the present formulation, a number of numerical examples are studied to demonstrate the efficiency of the present EDM-VSS.展开更多
The representations of the Dynkin quivers and the corresponding Euclidean quivers are treated in many books. These notes provide three building blocks for dealing with representations of Dynkin (and Euclidean) quive...The representations of the Dynkin quivers and the corresponding Euclidean quivers are treated in many books. These notes provide three building blocks for dealing with representations of Dynkin (and Euclidean) quivers. They should be helpful as part of a direct approach to study representations of quivers, and they shed some new light on properties of Dynkin and Euclidean quivers.展开更多
文摘IntroductionGastric cancer is one of the most common cancers and one of the most frequent causes of cancer deaths worldwide. Early detection and accurate preoperative staging of gastric cancer is essential for planning optimal therapy such as endoscopic mucosal resection or gastric resection and offers the best prognosis. With advanced technology in diagnostic instruments and the mass screening, early gastric cancer has been detected easier. One-point cancer of gastric is a special type of early gastric cancer. Diagnosis of one-point cancer of gastric is important for both the immediate treatment and the prognosis. There is still no consensus on the operation extent and postoperative treatment for patients with one-point cancer of gastric. Learned from previous reports, we know that existed in the superficial layer of the gastric mucosa and the superficial ulcer is one of the important characteristics of one point cancer of gastric. Herein, we report a case of one point cancer of gastric with the appearance of a deep infiltrating ulcer. To the best of our knowledge, no such type of one point cancer of gastric has been reported.
文摘Carcinoma of the stomach is the most common malignant tumor in China. Due to advanced endoscopic techniques and equipment, the detection of early gastric carcinoma (EGC) has increased worldwide. Yet gastric one-point cancer is rarely detected.
基金funded by the Strategic Priority Research Program (B) of the Chinese Academy of Sciences (XDB18030302)the National Key R&D Program of China (2017YFC0602503)the National Natural Science Foundation of China (U1812402, 41430315, 41573011, 41625006)
文摘The Sichuan-Yunnan-Guizhou(SYG)metallogenic province of southwest China is one of the most important Zn-Pb ore zones in China,with^200 Mt ZnPb ores at mean grades of 10 wt.%Zn and 5 wt.%Pb.The source and mechanism of the regional Zn-Pb mineralization remain controversial despite many investigations that have been conducted.The Wusihe Zn-Pb deposit is a representative large-scale Zn-Pb deposit in the northern SYG,which mainly occurs in the Dengying Formation and yields Zn-Pb resources of^3.7 Mt.In this paper,Zn and S isotopes,and Fe and Cd contents of sphalerite from the Wusihe deposit were investigated in an attempt to constrain the controls on Zn and S isotopic variations,the potential sources of ore-forming components,and the possible mineralization mechanisms.Both theδ66Zn andδ34S values in sphalerite from the Wusihe deposit increase systematically from the bottom to the top of the strata-bound orebodies.Such spatial evolution inδ66Zn andδ34S values of sphalerite can be attributed to isotopic Rayleigh fractionation during sphalerite precipitation with temperature variations.The strong correlations between the Zn-S isotopic compositions and Fe-Cd concentrations in sphalerite suggest that their variations were dominated by a similar mechanism.However,the Rayleigh fractionation mechanism cannot explain the spatial variations of Fe and Cd concentrations of sphalerite in this deposit.It is noted that the bottom and top sphalerites from the strata-bound orebodies document contrasting Zn and S isotopic compositions which correspond to the Zn and S isotopic characteristics of basement rocks and host rocks,respectively.Therefore,the mixing of two-source fluids with distinct Zn-S isotopic signatures was responsible for the spatial variations of Zn-S isotopic compositions of sphalerite from the Wusihe deposit.The fluids from basement rocks are characterized by relatively lighter Zn(~0.2‰)and S(~5‰)isotopic compositions while the fluids from host rocks are marked by relatively heavier Zn(~0.6‰)and S(~15‰)isotopic compositions.
基金Project(41372329) supported by the National Natural Science Foundation of ChinaProject(2014CB744701) supported by the National Basic Research Program of China
文摘To predict the soil-water characteristic curve(i.e.SWCC)of natural and remoulded Malan loess from soil physical properties,one-point methods for determining the SWCC that are much simpler than experimental methods are proposed.The predicted SWCC is presented in the form of the BRUTSAERT equation,in which the four model parameters can be estimated from soil physical properties using the best correlations obtained in the present study along with one measured data point.The proposed one-point methods are validated using the measured SWCC data reported in the literature.The results of validation studies suggest that the proposed one-point methods can provide reasonable prediction of the SWCC for natural and remoulded Malan loess.The measured data point should be within the transition zone;the measured suction is suggested between25to100kPa for natural loess,while between100to500kPa for remoulded loess.
基金funded by grants from the National Natural Science Foundation of China(Grant Nos.:82074176 and 81503345)Innovation Team and Talents Cultivation Program of National Administration of Traditional Chinese Medicine(Grant No.:ZYYCXTD-C-202009)the National Key R&D Program of China(Grant No.:2018YFC1704500).
文摘XueBiJing is an intravenous five-herb injection used to treat sepsis in China.The study aimed to develop a liquid chromatography-tandem mass spectrometry(LC-MS/MS)-or liquid chromatography-ultraviolet(LC-UV)-based assay for quality evaluation of XueBiJing.Assay development involved identifying marker constituents to make the assay therapeutically relevant and building a reliable one-point calibrator for monitoring the various analytes in parallel.Nine marker constituents from the five herbs were selected based on XueBiJing's chemical composition,pharmacokinetics,and pharmacodynamics.A selectivity test(for“similarity of response”)was developed to identify and minimize interference by nontarget constituents.Then,an intercept test was developed to fulfill“linearity through zero”for each analyte(absolute ratio of intercept to C response,<2%).Using the newly developed assays,we analyzed samples from 33 batches of XueBiJing,manufactured over three years,and found small batch-to-batch variability in contents of the marker constituents(4.1%-14.8%),except for senkyunolide I(26.5%).
文摘Based on monthly mean sea level pressure and 500 hPa height data for a 20-year period simulated by IAP 2L AGCM, teleconnection patterns in the Northern Hemisphere appearing in the model are identified and compared with observations. The results show that almost all of the observed teleconnection patterns in the Northern winter can be reproduced by the model, thus these patterns exist in the atmosphere without any external anomalies. On the other hand, the simulated teleconnection patterns are more dependent on each other than the observed, i.e., they are lack of spatial orthogonality among them, therefore, it is possible that more complex patterns will appear under the action of anomalous external factors. Besides, the simulated teleconnection patterns in summer are greatly different from those in winter, in particular, its scale in summer is much less than that in winter.
文摘Seasonal interaction between sea-surface temperature (SST) in the tropical eastern Pacific and ozone layer in Northern Hemisphere, ahd the layer,s teleconnection spatial structure caused by SST effeets, for January and July, are statistically analysed. The result indicates that the areas spacially correlated between SST and ozone layer in January greatly differ from the ones in July and they show opposite tendency in the signs of correlation, so do the teleconnection pattern for the ozone lay6r due to effects of SST in different seasons. In addition, persistent' influence of SST on the ozone layer results insuperposition of seasonal SST effects on the layer and makes it characteristic of well-defined wavetrainsin responses to SST. It is concluded that SST in the tropical eastern Pacific is of great importance to thenorthern ozone layer distribution and its seasonal evolution.
文摘Both mathematics and art consistently reflect the spirit of the age in which they arise. Consequently, the mathematics in China and in Korea during the Joseon Dynasty, in contrast to the deductive western mathematics, does not function on the basis of proving something deductively. Rather, the Chinese mathematics from this period was based upon making observations about problems by combining patterns with specific examples. In this paper, this author attempts to compare the differences in mathematics between the East and the West, and also to study the different perspectives in art between the East and the West, in order to identify the relationship between civilization, culture and the spirit of the age. This will explain the reason why the Western 'One Point Perspective' had spread in China and the Chosen Dynasty, yet could not be permanently established in these countries.
基金the National Natural Science Foundation of China (Grant No. 10671161)
文摘This paper is devoted to studying the recollement of the categories of finitely generated modules over finite dimensional algebras. We prove that for algebras A, B and C, if A-mod admits a recollement relative to B-mod and C-mod, then A[R]-mod admits a recollement relative to B[S]-mod and C-mod, where A[R]and B[S]are the one-point extensions of A by R and of B by S.
基金supported by the National Natural Science Foundation of China (62033010, U23B2061)Qing Lan Project of Jiangsu Province(R2023Q07)。
文摘This paper considers the distributed online optimization(DOO) problem over time-varying unbalanced networks, where gradient information is explicitly unknown. To address this issue, a privacy-preserving distributed online one-point residual feedback(OPRF) optimization algorithm is proposed. This algorithm updates decision variables by leveraging one-point residual feedback to estimate the true gradient information. It can achieve the same performance as the two-point feedback scheme while only requiring a single function value query per iteration. Additionally, it effectively eliminates the effect of time-varying unbalanced graphs by dynamically constructing row stochastic matrices. Furthermore, compared to other distributed optimization algorithms that only consider explicitly unknown cost functions, this paper also addresses the issue of privacy information leakage of nodes. Theoretical analysis demonstrate that the method attains sublinear regret while protecting the privacy information of agents. Finally, numerical experiments on distributed collaborative localization problem and federated learning confirm the effectiveness of the algorithm.
基金The Strategic Priority Research Program of Chinese Academy of Sciences,No.XDA20100102National Natural Science Foundation of China,No.41730854,No.41671019Projects by the State Key Laboratory of Earth Surface Processes and Resource Ecology
文摘Understanding the controls on seasonal variation of energy partitioning and separation between canopy and soil surface are important for qualifying the vegetation feedback to climate system.Using observed day-to-day variations of energy balance components including net radiation,sensible heat flux,latent heat flux ground heat flux,and meteorological variables combined with an energy-balanced two-source model,energy partitioning were investigated at six sites in Heihe River Basin from 2014 to 2016.Bowen ratio(β) among the six sites exhibited significant seasonal variations while showed smaller inter-annual fluctuations.All ecosystems exhibit a "U-shaped" pattern,characterized by smaller value of β in growing season,with a minimum value in July,and fluctuating day to day.During the growing season,average Bowen ratio was the highest for the alpine swamp meadow(0.60 ± 0.30),followed by the desert riparian forest Populus euphratica(0.47 ± 0.72),the alpine desert(0.46 ± 0.10),the Tamarix ramosissima desert riparian shrub ecosystem(0.33 ± 0.57),alpine meadow ecosystem(0.32 ± 0.17),and cropland ecosystem(0.27 ± 0.46).The agreement of Bowen ratio between simulated and observed values demonstrated that the two-source model is a promising tool for energy partitioning and separation between canopy and soil surface.The importance of biophysical control explains the convergence of seasonal and annual patterns of Bowen ratio for all ecosystems,and the changes in Bowen ratio showed divergence among varied ecosystems because of different physiological responses to energy flow pathways between canopy and soil surface.
基金Proiect supported by the National Natural Science Foundation of China
文摘Let A be a basic, connected and finite-dimensional algebra over an algebraically closed field k. A tilting module A^T is called separating if the torsion theory (F(A^T), G(A^T)) induced by A^T is splitting in A-mod, i. e. any indecomposable module A^M belongs either to F(A^T) or to G(A^T). In this note we prove the following main result by using the representation theory of representation-infinite hereditary algebra.
基金supported by the National Natural Science Foundation of China(Grant Nos.11472101 and 61232014)Postdoctoral Science Foundation of China(Grant No.2013M531780)the National Laboratory for Electric Vehicles Foundations
文摘An element decomposition method with variance strain stabilization(EDM-VSS) is proposed. In the present EDM-VSS, the quadrilateral element is first divided into four sub-triangular cells, and the local strains in sub-triangular cells are obtained using linear interpolation function. For each quadrilateral element, the strain of the whole quadrilateral is the weighted average value of the local strains, which means only one integration point is adopted to construct the stiffness matrix. The stabilization item of the stiffness matrix is constructed by variance of the local strains, which can eliminate the instability of the one-point integration formulation and largely increase the accuracy of the element. Compared with conventional full integration quadrilateral element, the EDM-VSS achieves more accurate results and expends much lower computational cost. More importantly, as no mapping or coordinate transformation is involved in the present EDM-VSS, the restriction on the conventional quadrilateral elements can be removed and problem domain can be discretized in more flexible ways. To verify the accuracy and stability of the present formulation, a number of numerical examples are studied to demonstrate the efficiency of the present EDM-VSS.
文摘The representations of the Dynkin quivers and the corresponding Euclidean quivers are treated in many books. These notes provide three building blocks for dealing with representations of Dynkin (and Euclidean) quivers. They should be helpful as part of a direct approach to study representations of quivers, and they shed some new light on properties of Dynkin and Euclidean quivers.