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
Understanding the effects of point liquid loading on transversely isotropic poroelastic media is crucial for advancing geomechanics and biomechanics, where precise modeling of fluid-structure interactions is essential...Understanding the effects of point liquid loading on transversely isotropic poroelastic media is crucial for advancing geomechanics and biomechanics, where precise modeling of fluid-structure interactions is essential. This paper presents a comprehensive analysis of infinite transversely isotropic poroelasticity under a fluid source, based on Biot's theory, aiming to uncover new and previously unexplored insights in the literature. We begin our study by deriving a general solution for fluid-saturated, transversely isotropic poroelastic materials in terms of harmonic functions that satisfy sixth-order homogeneous partial differential equations, using potential theory and Almansi's theorem. Based on these general solutions and potential functions, we construct a Green's function for a point fluid source, introducing three new harmonic functions with undetermined constants. These constants are determined by enforcing continuity and equilibrium conditions. Substituting these into the general solution yields fundamental solutions for poroelasticity that provide crucial support for a wide range of project problems. Numerical results and comparisons with existing literature are provided to illustrate physical mechanisms through contour plots. Our observations reveal that all components tend to zero in the far field and become singular at the concentrated source. Additionally, the contours exhibit rapid changes near the point fluid source but display gradual variations at a distance from it. These findings highlight the intricate behavior of the system under point liquid loading, offering valuable insights for further research and practical applications.展开更多
The search for mechanical properties of materials reached a highly acclaimed level, when indentations could be analysed on the basis of elastic theory for hardness and elastic modulus. The mathematical formulas proved...The search for mechanical properties of materials reached a highly acclaimed level, when indentations could be analysed on the basis of elastic theory for hardness and elastic modulus. The mathematical formulas proved to be very complicated, and various trials were published between the 1900s and 2000s. The development of indentation instruments and the wish to make the application in numerous steps easier, led in 1992 to trials with iterations by using relative values instead of absolute ones. Excessive iterations of computers with 3 + 8 free parameters of the loading and unloading curves became possible and were implemented into the instruments and worldwide standards. The physical formula for hardness was defined as force over area. For the conical, pyramidal, and spherical indenters, one simply took the projected area for the calculation of the indentation depth from the projected area, adjusted it later by the iterations with respect to fused quartz or aluminium as standard materials, and called it “contact height”. Continuously measured indentation loading curves were formulated as loading force over depth square. The unloading curves after release of the indenter used the initial steepness of the pressure relief for the calculation of what was (and is) incorrectly called “Young’s modulus”. But it is not unidirectional. And for the spherical indentations’ loading curve, they defined the indentation force over depth raised to 3/2 (but without R/h correction). They till now (2025) violate the energy law, because they use all applied force for the indenter depth and ignore the obvious sidewise force upon indentation (cf. e.g. the wood cleaving). The various refinements led to more and more complicated formulas that could not be reasonably calculated with them. One decided to use 3 + 8 free-parameter iterations for fitting to the (poor) standards of fused quartz or aluminium. The mechanical values of these were considered to be “true”. This is till now the worldwide standard of DIN-ISO-ASTM-14577, avoiding overcomplicated formulas with their complexity. Some of these are shown in the Introduction Section. By doing so, one avoided the understanding of indentation results on a physical basis. However, we open a simple way to obtain absolute values (though still on the blackbox instrument’s unsuitable force calibration). We do not iterate but calculate algebraically on the basis of the correct, physically deduced exponent of the loading force parabolas with h3/2 instead of false “h2” (for the spherical indentation, there is a calotte-radius over depth correction), and we reveal the physical errors taken up in the official worldwide “14577-Standard”. Importantly, we reveal the hitherto fully overlooked phase transitions under load that are not detectable with the false exponent. Phase-transition twinning is even present and falsifies the iteration standards. Instead of elasticity theory, we use the well-defined geometry of these indentations. By doing so, we reach simple algebraically calculable formulas and find the physical indentation hardness of materials with their onset depth, onset force and energy, as well as their phase-transition energy (temperature dependent also its activation energy). The most important phase transitions are our absolute algebraically calculated results. The now most easily obtained phase transitions under load are very dangerous because they produce polymorph interfaces between the changed and the unchanged material. It was found and published by high-enlargement microscopy (5000-fold) that these trouble spots are the sites for the development of stable, 1 to 2 µm long, micro-cracks (stable for months). If however, a force higher than the one of their formation occurs to them, these grow to catastrophic crash. That works equally with turbulences at the pickle fork of airliners. After the publication of these facts and after three fatal crashing had occurred in a short sequence, FAA (Federal Aviation Agency) reacted by rechecking all airplanes for such micro cracks. These were now found in a new fleet of airliners from where the three crashed ones came. These were previously overlooked. FAA became aware of that risk and grounded 290 (certainly all) of them, because the material of these did not have higher phase-transition onset and energy than other airplanes with better material. They did so despite the 14577-Standard that does not find (and thus formally forbids) phase transitions under indenter load with the false exponent on the indentation parabola. However, this “Standard” will, despite the present author’s well-founded petition, not be corrected for the next 5 years.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
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
We investigate the incidence algebras arising from one-branch extensions of“rectangles”.There are four different ways to form such extensions,and all four kinds of incidence algebras turn out to be derived equivalen...We investigate the incidence algebras arising from one-branch extensions of“rectangles”.There are four different ways to form such extensions,and all four kinds of incidence algebras turn out to be derived equivalent.We provide realizations for all of them as endomorphism algebra of tilting modules or tilting complexes over a Nakayama algebra.Meanwhile,an unexpected derived equivalence between Nakayama algebras N(2r-1,r)and N(2r-1,r+1)has been found.As an application,we obtain the explicit formulas of the Coxeter polynomials for a large family of Nakayama algebras,i.e.,the Nakayama algebras N(n,r)with n/2<r<n.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supported by the National Natural Science Foundation of China (Grant Nos. 12272269, 11972257,11832014 and 11472193)the Shanghai Pilot Program for Basic Researchthe Shanghai Gaofeng Project for University Academic Program Development。
文摘Understanding the effects of point liquid loading on transversely isotropic poroelastic media is crucial for advancing geomechanics and biomechanics, where precise modeling of fluid-structure interactions is essential. This paper presents a comprehensive analysis of infinite transversely isotropic poroelasticity under a fluid source, based on Biot's theory, aiming to uncover new and previously unexplored insights in the literature. We begin our study by deriving a general solution for fluid-saturated, transversely isotropic poroelastic materials in terms of harmonic functions that satisfy sixth-order homogeneous partial differential equations, using potential theory and Almansi's theorem. Based on these general solutions and potential functions, we construct a Green's function for a point fluid source, introducing three new harmonic functions with undetermined constants. These constants are determined by enforcing continuity and equilibrium conditions. Substituting these into the general solution yields fundamental solutions for poroelasticity that provide crucial support for a wide range of project problems. Numerical results and comparisons with existing literature are provided to illustrate physical mechanisms through contour plots. Our observations reveal that all components tend to zero in the far field and become singular at the concentrated source. Additionally, the contours exhibit rapid changes near the point fluid source but display gradual variations at a distance from it. These findings highlight the intricate behavior of the system under point liquid loading, offering valuable insights for further research and practical applications.
文摘The search for mechanical properties of materials reached a highly acclaimed level, when indentations could be analysed on the basis of elastic theory for hardness and elastic modulus. The mathematical formulas proved to be very complicated, and various trials were published between the 1900s and 2000s. The development of indentation instruments and the wish to make the application in numerous steps easier, led in 1992 to trials with iterations by using relative values instead of absolute ones. Excessive iterations of computers with 3 + 8 free parameters of the loading and unloading curves became possible and were implemented into the instruments and worldwide standards. The physical formula for hardness was defined as force over area. For the conical, pyramidal, and spherical indenters, one simply took the projected area for the calculation of the indentation depth from the projected area, adjusted it later by the iterations with respect to fused quartz or aluminium as standard materials, and called it “contact height”. Continuously measured indentation loading curves were formulated as loading force over depth square. The unloading curves after release of the indenter used the initial steepness of the pressure relief for the calculation of what was (and is) incorrectly called “Young’s modulus”. But it is not unidirectional. And for the spherical indentations’ loading curve, they defined the indentation force over depth raised to 3/2 (but without R/h correction). They till now (2025) violate the energy law, because they use all applied force for the indenter depth and ignore the obvious sidewise force upon indentation (cf. e.g. the wood cleaving). The various refinements led to more and more complicated formulas that could not be reasonably calculated with them. One decided to use 3 + 8 free-parameter iterations for fitting to the (poor) standards of fused quartz or aluminium. The mechanical values of these were considered to be “true”. This is till now the worldwide standard of DIN-ISO-ASTM-14577, avoiding overcomplicated formulas with their complexity. Some of these are shown in the Introduction Section. By doing so, one avoided the understanding of indentation results on a physical basis. However, we open a simple way to obtain absolute values (though still on the blackbox instrument’s unsuitable force calibration). We do not iterate but calculate algebraically on the basis of the correct, physically deduced exponent of the loading force parabolas with h3/2 instead of false “h2” (for the spherical indentation, there is a calotte-radius over depth correction), and we reveal the physical errors taken up in the official worldwide “14577-Standard”. Importantly, we reveal the hitherto fully overlooked phase transitions under load that are not detectable with the false exponent. Phase-transition twinning is even present and falsifies the iteration standards. Instead of elasticity theory, we use the well-defined geometry of these indentations. By doing so, we reach simple algebraically calculable formulas and find the physical indentation hardness of materials with their onset depth, onset force and energy, as well as their phase-transition energy (temperature dependent also its activation energy). The most important phase transitions are our absolute algebraically calculated results. The now most easily obtained phase transitions under load are very dangerous because they produce polymorph interfaces between the changed and the unchanged material. It was found and published by high-enlargement microscopy (5000-fold) that these trouble spots are the sites for the development of stable, 1 to 2 µm long, micro-cracks (stable for months). If however, a force higher than the one of their formation occurs to them, these grow to catastrophic crash. That works equally with turbulences at the pickle fork of airliners. After the publication of these facts and after three fatal crashing had occurred in a short sequence, FAA (Federal Aviation Agency) reacted by rechecking all airplanes for such micro cracks. These were now found in a new fleet of airliners from where the three crashed ones came. These were previously overlooked. FAA became aware of that risk and grounded 290 (certainly all) of them, because the material of these did not have higher phase-transition onset and energy than other airplanes with better material. They did so despite the 14577-Standard that does not find (and thus formally forbids) phase transitions under indenter load with the false exponent on the indentation parabola. However, this “Standard” will, despite the present author’s well-founded petition, not be corrected for the next 5 years.
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Supported by the Natural Science Foundation of Xiamen(Grant No.3502Z20227184)the Natural Science Foundation of Fujian Province(Grant No.2022J01034)+2 种基金the Natural Science Foundation of Shanghai(Grant No.23ZR1435100)the National Natural Science Foundation of China(Grant Nos.12271448 and 12301054)the Fundamental Research Funds for Central Universities of China(Grant No.20720220043)。
文摘We investigate the incidence algebras arising from one-branch extensions of“rectangles”.There are four different ways to form such extensions,and all four kinds of incidence algebras turn out to be derived equivalent.We provide realizations for all of them as endomorphism algebra of tilting modules or tilting complexes over a Nakayama algebra.Meanwhile,an unexpected derived equivalence between Nakayama algebras N(2r-1,r)and N(2r-1,r+1)has been found.As an application,we obtain the explicit formulas of the Coxeter polynomials for a large family of Nakayama algebras,i.e.,the Nakayama algebras N(n,r)with n/2<r<n.
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.
