We study abelian subcategories and torsion pairs in Abramovich–Polishchuk’s heart.And we apply the construction from Liu(J Reine Angew Math 770:135–157,2021)on a full triangulated subcategory D_(S)^(≤1)in D(X×...We study abelian subcategories and torsion pairs in Abramovich–Polishchuk’s heart.And we apply the construction from Liu(J Reine Angew Math 770:135–157,2021)on a full triangulated subcategory D_(S)^(≤1)in D(X×S),for an arbitrary smooth projective variety S.We also define a notion of l-th level stability,which is a generalization of the slope stability and the Gieseker stability.We show that for any object E in Abramovich–Polishchuk’s heart,there is a unique filtration whose factors are l-th level semistable,and the phase vectors are decreasing in a lexicographic order.展开更多
Let C be a set of modules. We argue that there is an ordinal d such that if a module has a filtration by modules in g, then it has a filtration of length k by direct sums of modules in C. As an application we give ano...Let C be a set of modules. We argue that there is an ordinal d such that if a module has a filtration by modules in g, then it has a filtration of length k by direct sums of modules in C. As an application we give another way to prove a result of Saorfn and Stovicek and of Stovicek.展开更多
Reuse of irrigation water after appropriate filtration has emerged as one of the most important strategies for addressing global water scarcity and improving the sustainability of agricultural systems.This study revie...Reuse of irrigation water after appropriate filtration has emerged as one of the most important strategies for addressing global water scarcity and improving the sustainability of agricultural systems.This study reviews the research progress on filtration technologies and the reuse of secondary water through a comprehensive visual and bibliometric analysis of the relevant scientific literature.Using tools such as R Studio,VOSviewer,and the Bibliometrix R‐package,a total of 374 publications published between 2003 and 2024 were retrieved from the Web of Science database and systematically analyzed.The collected literature was examined with respect to publication trends,disciplinary distributions,leading journals,contributing countries,institutions,and authors.Additionally,an in-depth keyword analysis was conducted to explore co-occurrence networks,thematic clustering,and emerging research frontiers.The results indicate three distinct developmental stages in this field:a slow and exploratory phase beginning in 2003,followed by a period of moderate growth around 2013,and a rapid expansion phase that has been evident since 2018.Research outputs primarily span environmental sciences,engineering,water resources management,and agricultural sciences.The findings highlight an increasing global interest in sustainable water reuse and the need for continued innovation in filtration methods to enhance water quality and agricultural productivity.Future scientific efforts should emphasize the development of advanced,cost-effective filtration technologies,the reduction of environmental risks,and the promotion of large-scale water reuse practices to alleviate water shortages and support resilient agricultural systems.展开更多
To develop an efficient filter for removing white blood cells from whole blood,hydrophilic large-pore blended membranes of poly(vinylidene fluoride)(PVDF),polyvinyl pyrrolidone and polyethylene glycol,with good biocom...To develop an efficient filter for removing white blood cells from whole blood,hydrophilic large-pore blended membranes of poly(vinylidene fluoride)(PVDF),polyvinyl pyrrolidone and polyethylene glycol,with good biocompatibility,were prepared using the process of vapor-induced phase separation at various PVDF concentrations.The results demonstrated that at a PVDF mass concentration of 14%,the membrane had increased surface roughness,significantly enhanced hydrophilicity and wettability,and a wetting time of 8 s.The surface roughness of the membrane was also reduced to 31.637 nm.Furthermore,hemolysis rate and protein adsorption tests indicated that the blended membranes possessed excellent biocompatibility.They were reduced to 2.48%and 34.44μg·cm^(−2),respectively.The pore size of the fabricated membrane was relatively large,which reached approximately 8μm respectively,satisfying the filtration requirements.Lastly,the effects of different temperatures and multi-layered filters on leukocyte removal and the retention of red blood cells and platelets from whole blood were evaluated.The results revealed that the leukocyte removal rate was highest at 4℃ and with three membrane layers,the leukocyte removal rate was highest,reaching 98.36%,while the RBC and platelet content remained nearly unchanged compared with the original blood.This study provides a new approach for blood cell separation that is expected to play a significant role in medical fields such as blood transfusion demonstrating great potential for application and innovation.展开更多
Recently,the Standardization Administration of China issued Announcement No.1 of 2026,officially approving the establishment of the Subcommittee 1 on Nonwoven Material of National Technical Committee 606 on Technical ...Recently,the Standardization Administration of China issued Announcement No.1 of 2026,officially approving the establishment of the Subcommittee 1 on Nonwoven Material of National Technical Committee 606 on Technical Textiles of Standardization Administration of China(SAC/TC606/SC1)and the Subcommittee 2 on Filtration and Separation Textiles of National Technical Committee 606 on Technical Textiles of Standardization Administration of China(SAC/TC606/SC2).The formation of these two subcommittees marks a crucial step in the standardization development of China's industrial textiles sector in specialized fields.展开更多
Advanced healthcare monitors for air pollution applications pose a significant challenge in achieving a balance between high-performance filtration and multifunctional smart integration.Electrospinning triboelectric n...Advanced healthcare monitors for air pollution applications pose a significant challenge in achieving a balance between high-performance filtration and multifunctional smart integration.Electrospinning triboelectric nanogenerators(TENG)provide a significant potential for use under such difficult circumstances.We have successfully constructed a high-performance TENG utilizing a novel multi-scale nanofiber architecture.Nylon 66(PA66)and chitosan quaternary ammonium salt(HACC)composites were prepared by electrospinning,and PA66/H multiscale nanofiber membranes composed of nanofibers(≈73 nm)and submicron-fibers(≈123 nm)were formed.PA66/H multi-scale nanofiber membrane as the positive electrode and negative electrode-spun PVDF-HFP nanofiber membrane composed of respiration-driven PVDF-HFP@PA66/H TENG.The resulting PVDF-HFP@PA66/H TENG based air filter utilizes electrostatic adsorption and physical interception mechanisms,achieving PM_(0.3)filtration efficiency over 99%with a pressure drop of only 48 Pa.Besides,PVDF-HFP@PA66/H TENG exhibits excellent stability in high-humidity environments,with filtration efficiency reduced by less than 1%.At the same time,the TENG achieves periodic contact separation through breathing drive to achieve self-power,which can ensure the long-term stability of the filtration efficiency.In addition to the air filtration function,TENG can also monitor health in real time by capturing human breathing signals without external power supply.This integrated system combines high-efficiency air filtration,self-powered operation,and health monitoring,presenting an innovative solution for air purification,smart protective equipment,and portable health monitoring.These findings highlight the potential of this technology for diverse applications,offering a promising direction for advancing multifunctional air filtration systems.展开更多
Let F be an arbitrary field of characteristic p≠2, and L be an infinite Lie, algebra ofCartan type (graded or complete). When p>3 (or p is arbitrary), the set of ad-nilpotent(or quasi-nilpotent) elements of L is d...Let F be an arbitrary field of characteristic p≠2, and L be an infinite Lie, algebra ofCartan type (graded or complete). When p>3 (or p is arbitrary), the set of ad-nilpotent(or quasi-nilpotent) elements of L is determined. Consequently, it is proved that the naturalfiltration and the noncontractible filtration of L are invariant.展开更多
The purpose of this paper is twofold.We first solve the Dirichlet problem forτ-Hermitian-Einstein equations on holomorphic filtrations over compact Hermitian manifolds.Secondly,by using Uhlenbeck-Yau’s continuity me...The purpose of this paper is twofold.We first solve the Dirichlet problem forτ-Hermitian-Einstein equations on holomorphic filtrations over compact Hermitian manifolds.Secondly,by using Uhlenbeck-Yau’s continuity method,we prove the existence of approximateτ-Hermitian-Einstein structure on holomorphic filtrations over closed Gauduchon manifolds.展开更多
The work of the classification of the simple Lie algebras over algebraical closed fieldF of prime characteristc p began nearly 50 years ago and the problem has been solved just recentlyunder the condition p】7,and the...The work of the classification of the simple Lie algebras over algebraical closed fieldF of prime characteristc p began nearly 50 years ago and the problem has been solved just recentlyunder the condition p】7,and the generalized Kostrikin-Safarevic conjecture that these al-gebras are all of classical or Cartan type is verified.For the classification of simple Liealgebras over non-closed fields,it is necessary to consider the forms.A central simple展开更多
We obtain alternative explicit Specht filtrations for the induced and the restricted Specht modules in the Hecke algebra of the symmetric group (defined over the ring A = Z[g^1/2, q^-1/2], where q is an indeterminate)...We obtain alternative explicit Specht filtrations for the induced and the restricted Specht modules in the Hecke algebra of the symmetric group (defined over the ring A = Z[g^1/2, q^-1/2], where q is an indeterminate) using C-bases for these modules. Moreover, we provide a link bet ween a certain C-basis for the induced Specht module and the notion of pairs of partitions.展开更多
This paper interprets mixed multiplicities of good filtrations as Hilbert-Samuel multiplicities, and shows that (ε1,..., εm)-superficial sequences in [16] (2007) and superficial sequences in [15] (1973) are we...This paper interprets mixed multiplicities of good filtrations as Hilbert-Samuel multiplicities, and shows that (ε1,..., εm)-superficial sequences in [16] (2007) and superficial sequences in [15] (1973) are weak-(FC)-sequences in [19] (2000). As consequences, we not only obtain generalized results for mixed multiplicities of ideals in [15, 16, 19] but also get an improvement of [19, Theorem 3.4] that seems to account well for the essence of [16, Theorem 1.4].展开更多
In this article,we investigate the shift of Abbes and Saito’s ramification filtrations of the absolute Galois group of a complete discrete valuation field of positive characteristic under a purely inseparable extensi...In this article,we investigate the shift of Abbes and Saito’s ramification filtrations of the absolute Galois group of a complete discrete valuation field of positive characteristic under a purely inseparable extension.We also study a functoriality property for characteristic forms.展开更多
Machine learning(ML)is a type of artificial intelligence that assists computers in the acquisition of knowledge through data analysis,thus creating machines that can complete tasks otherwise requiring human intelligen...Machine learning(ML)is a type of artificial intelligence that assists computers in the acquisition of knowledge through data analysis,thus creating machines that can complete tasks otherwise requiring human intelligence.Among its various applications,it has proven groundbreaking in healthcare as well,both in clinical practice and research.In this editorial,we succinctly introduce ML applications and present a study,featured in the latest issue of the World Journal of Clinical Cases.The authors of this study conducted an analysis using both multiple linear regression(MLR)and ML methods to investigate the significant factors that may impact the estimated glomerular filtration rate in healthy women with and without non-alcoholic fatty liver disease(NAFLD).Their results implicated age as the most important determining factor in both groups,followed by lactic dehydrogenase,uric acid,forced expiratory volume in one second,and albumin.In addition,for the NAFLD-group,the 5th and 6th most important impact factors were thyroid-stimulating hormone and systolic blood pressure,as compared to plasma calcium and body fat for the NAFLD+group.However,the study's distinctive contribution lies in its adoption of ML methodologies,showcasing their superiority over traditional statistical approaches(herein MLR),thereby highlighting the potential of ML to represent an invaluable advanced adjunct tool in clinical practice and research.展开更多
In this study,synthetic wastewater containing 110μg/L arsenate(As(V)),0-20 mg/L fulvic acid(FA),and 0-12.3 mg/L phosphate was treated with 3 mg/L Fe3+.The mechanisms of FA and phosphate effects on As(V)removal by fer...In this study,synthetic wastewater containing 110μg/L arsenate(As(V)),0-20 mg/L fulvic acid(FA),and 0-12.3 mg/L phosphate was treated with 3 mg/L Fe3+.The mechanisms of FA and phosphate effects on As(V)removal by ferric chloride were determined using 0.22-10μm pore-size filtration,Zetasizer analysis,and in situ flow through cell ATR-FTIR.The results showed that up to 20mg/L FA had almost no effect on the solubility of ferric hydroxide precipitates and adsorption of As(V)by the precipitates.When FA concentration increased from 0 to 20 mg/L,the adsorption of FA led to higher negative zeta potential of the precipitates and the strong electrostatic repulsion between the precipitates decreased the particle size of ferric hydroxide flocs fromlarger than 10μmto smaller than 1μm.In the presence of 5-20 mg/L FA,46%-63%As(V)was adsorbed onto the flocs with particle size in the range of 0.45-1μm.On the other hand,phosphate did not affect the size of ferric hydroxide flocs and significantly increased the dissolved As(V)concentration because it competed with As(V)for adsorption sites on ferric hydroxide precipitates.The addition of 5mg/L cationic organic flocculant significantly reduced the effect of FA on As(V)removal,but did not reduce the effect of phosphate on As(V)removal.The findings of this study will help develop effective arsenic treatment techniques and predict the mobility of arsenic in the environment.展开更多
BACKGROUND With an increase in the elderly population,the frequency of hospitalizations in recent years has also risen at a rapid pace.This,in turn,has resulted in poor outcomes and costly treatments.Hospitalization r...BACKGROUND With an increase in the elderly population,the frequency of hospitalizations in recent years has also risen at a rapid pace.This,in turn,has resulted in poor outcomes and costly treatments.Hospitalization rates increase in elderly patients due to a decline in glomerular filtration rate(GFR).AIM To investigate the connection between GFR and comorbidity and reasons for hospitalization in elderly patients.METHODS We analyzed patients aged 75 years and over who were admitted to the internal medicine clinic of a tertiary hospital in Eskisehir.At admission,we calculated GFR values using the Modification of Diet in Renal Disease study formula and classified them into six categories:G1,G2,G3a,G3b,G4,and G5.We analyzed associations with hospitalization diagnoses and comorbidity factors.RESULTS The average age of the patients was 80.8 years(±4.5 years).GFR was 57.287±29.5 mL/kg/1.73 m2 in women and 61.3±31.5 mL/kg/1.73 m2 in men(P=0.106).Most patients were admitted to the hospital at G2 stage(32.8%).The main reasons for hospitalization were anemia(34.4%and 28.6%)and malnutrition(20.9%and 20.8%)in women and men,respectively(P=0.078).The most frequent comor-bidity leading to hospitalization was arterial hypertension(n=168,28%),fo-llowed by diabetes(n=166,27.7%)(P=0.001).CONCLUSION When evaluating geriatric patients,low GFR alone does not provide sufficient information.Patients’comorbid factors should also be taken into account.There is no association between low GFR during hospitalization and hospitalization-Hamarat H.Aging and GFR related diagnoses.Knowing the GFR value before hospitalization will be more informative in such studies.展开更多
The mechanism of hydrate-based desalination is that water molecules would transfer to the hydrate phase during gas hydrate formation process,while the salt ions would be conversely concentrated in the unreacted saltwa...The mechanism of hydrate-based desalination is that water molecules would transfer to the hydrate phase during gas hydrate formation process,while the salt ions would be conversely concentrated in the unreacted saltwater.However,the salt concentration of hydrate decomposed water and the desalination degree of hydrate phase are still unclear.The biggest challenge is how to effectively separate the hydrate phase and the remaining unreacted salt water,and then decompose the hydrate phase to measure the salt concentration of hydrate melt water.This work developed an apparatus and pressure-driven filtration method to efficiently separate the hydrate phase and the remaining unreacted saltwater.On this basis,the single hydrate phase was obtained,then it was dissociated and the salt concentration of hydrate melt water was measured.The experimental results demonstrate that when the initial salt mass concentration is 0.3% to 8.0%,the salt removal efficiency for NaCl solution is 15.9% to 29.8%by forming CO_(2) hydrate,while for CaCl_(2) solution is 28.9%to 45.5%.The solute CaCl_(2) is easier to be removed than solute NaCl.In addition,the salt removal efficiency for forming CO_(2) hydrate is higher than that for forming methane hydrate.The multi-stage desalination can continuously decrease the salt concentration of hydrate dissociated water,and the salt removal efficiency per stage is around 20%.展开更多
Magnesium(Mg),as one of the most abundant elements in earth's crust,is the lightest structural metal with extensive applications across various industries.However,the performance of Mg-based products is highly dep...Magnesium(Mg),as one of the most abundant elements in earth's crust,is the lightest structural metal with extensive applications across various industries.However,the performance of Mg-based products is highly dependent on their impurity levels,and the lack of high-purity Mg,along with efficient purification method,has posed significant challenge to its widespread industrial adoption.This study investigates the impurity behavior in Mg ingots during the vacuum gasification purification process.Through the analysis of binary phase diagrams,iron(Fe)-based foam material was selected for the filtration and purification of Mg vapor in a vacuum tube furnace.A novel approach combining vacuum gasification,vapor purification,and directional condensation is proposed.The effect of filter pore sizes and filtration temperatures on the efficacy of impurity removal was evaluated.Experimental results demonstrate that Fe-based foam with a pore size of 60 ppi,at a filtration temperature of 773 K,effectively removes impurities such as calcium(Ca),potassium(K),sodium(Na),manganese(Mn),silicon(Si),aluminum(Al),and various oxides,sulfides,and chlorides from the vapor phase.Consequently,high-purity Mg with a purity level exceeding 5N3 was obtained in the condensation zone.展开更多
Granular bed filter is one of the most promising technologies for the dust removal from high temperature coal pyrolysis gas.In this work,three-dimensional numerical models were employed to investigate the influence of...Granular bed filter is one of the most promising technologies for the dust removal from high temperature coal pyrolysis gas.In this work,three-dimensional numerical models were employed to investigate the influence of operation parameters on collection efficiency,especially paying attention to particle deposition characteristics in the bed and outlet particle size distribution.The results show that the operation parameters have different effects on the collection efficiency of particles with the different properties.Under the same conditions,the collection efficiency of granular bed for circulating ash increases more rapidly compared to that of char particles.According to the effective Stokes number(N_(steff)),the collection efficiency of granular bed can be obviously divided into three regions:difficult separation region(N_(steff)≤0.25),transition region(0.25<N_(steff)<0.83)and easy separation region(N_(steff)≥0.83).Dust deposition within the bed exhibits axial attenuation along the gas flow direction,allowing classification of deposited particles into two characteristic types:dispersed particles and congregated particles.In addition,granular bed filtration induces a morphological transition of particle size distribution,transforming the original monomodal profile into a well-defined bimodal structure.A correlation formula of the collection efficiency was developed,providing critical insights for the engineering design of granular bed filters.展开更多
Glaucoma filtration surgery(GFS)stands as the most effective intervention for reducing intraocular pressure,a critical component in glaucoma management.Despite its pivotal role,the scarring of the filtration bleb rema...Glaucoma filtration surgery(GFS)stands as the most effective intervention for reducing intraocular pressure,a critical component in glaucoma management.Despite its pivotal role,the scarring of the filtration bleb remains the primary impediment to successful GFS outcomes.Perioperative utilization of antimitotics,while frontline in combating fibrosis and modulating the wound healing process,carries the risk of vision-threatening complications.Given the complexity of the wound healing cascade and the potential insufficiency of targeting a single molecule,there is an imperative to expand therapeutic modalities through combination therapies.This review offers a comprehensive elucidation of the fibrogenesis post-GFS,a synthesis unprecedented in the available literature,and aims to inform the broadening of therapeutic strategies for GFS.展开更多
文摘We study abelian subcategories and torsion pairs in Abramovich–Polishchuk’s heart.And we apply the construction from Liu(J Reine Angew Math 770:135–157,2021)on a full triangulated subcategory D_(S)^(≤1)in D(X×S),for an arbitrary smooth projective variety S.We also define a notion of l-th level stability,which is a generalization of the slope stability and the Gieseker stability.We show that for any object E in Abramovich–Polishchuk’s heart,there is a unique filtration whose factors are l-th level semistable,and the phase vectors are decreasing in a lexicographic order.
文摘Let C be a set of modules. We argue that there is an ordinal d such that if a module has a filtration by modules in g, then it has a filtration of length k by direct sums of modules in C. As an application we give another way to prove a result of Saorfn and Stovicek and of Stovicek.
文摘Reuse of irrigation water after appropriate filtration has emerged as one of the most important strategies for addressing global water scarcity and improving the sustainability of agricultural systems.This study reviews the research progress on filtration technologies and the reuse of secondary water through a comprehensive visual and bibliometric analysis of the relevant scientific literature.Using tools such as R Studio,VOSviewer,and the Bibliometrix R‐package,a total of 374 publications published between 2003 and 2024 were retrieved from the Web of Science database and systematically analyzed.The collected literature was examined with respect to publication trends,disciplinary distributions,leading journals,contributing countries,institutions,and authors.Additionally,an in-depth keyword analysis was conducted to explore co-occurrence networks,thematic clustering,and emerging research frontiers.The results indicate three distinct developmental stages in this field:a slow and exploratory phase beginning in 2003,followed by a period of moderate growth around 2013,and a rapid expansion phase that has been evident since 2018.Research outputs primarily span environmental sciences,engineering,water resources management,and agricultural sciences.The findings highlight an increasing global interest in sustainable water reuse and the need for continued innovation in filtration methods to enhance water quality and agricultural productivity.Future scientific efforts should emphasize the development of advanced,cost-effective filtration technologies,the reduction of environmental risks,and the promotion of large-scale water reuse practices to alleviate water shortages and support resilient agricultural systems.
基金The National Key Research and Development Program of China(2020YFC0862903)Supported by Jiangsu Future Membrane Technology Innovation Center(BM2021804)National Foreign Expert Program(H20240294).
文摘To develop an efficient filter for removing white blood cells from whole blood,hydrophilic large-pore blended membranes of poly(vinylidene fluoride)(PVDF),polyvinyl pyrrolidone and polyethylene glycol,with good biocompatibility,were prepared using the process of vapor-induced phase separation at various PVDF concentrations.The results demonstrated that at a PVDF mass concentration of 14%,the membrane had increased surface roughness,significantly enhanced hydrophilicity and wettability,and a wetting time of 8 s.The surface roughness of the membrane was also reduced to 31.637 nm.Furthermore,hemolysis rate and protein adsorption tests indicated that the blended membranes possessed excellent biocompatibility.They were reduced to 2.48%and 34.44μg·cm^(−2),respectively.The pore size of the fabricated membrane was relatively large,which reached approximately 8μm respectively,satisfying the filtration requirements.Lastly,the effects of different temperatures and multi-layered filters on leukocyte removal and the retention of red blood cells and platelets from whole blood were evaluated.The results revealed that the leukocyte removal rate was highest at 4℃ and with three membrane layers,the leukocyte removal rate was highest,reaching 98.36%,while the RBC and platelet content remained nearly unchanged compared with the original blood.This study provides a new approach for blood cell separation that is expected to play a significant role in medical fields such as blood transfusion demonstrating great potential for application and innovation.
文摘Recently,the Standardization Administration of China issued Announcement No.1 of 2026,officially approving the establishment of the Subcommittee 1 on Nonwoven Material of National Technical Committee 606 on Technical Textiles of Standardization Administration of China(SAC/TC606/SC1)and the Subcommittee 2 on Filtration and Separation Textiles of National Technical Committee 606 on Technical Textiles of Standardization Administration of China(SAC/TC606/SC2).The formation of these two subcommittees marks a crucial step in the standardization development of China's industrial textiles sector in specialized fields.
基金financial support from the National Key Research and Development Program of China(2022YFB3804905)National Natural Science Foundation of China(22375047,22378068,and 22378071)+1 种基金Natural Science Foundation of Fujian Province(2022J01568)111 Project(No.D17005).
文摘Advanced healthcare monitors for air pollution applications pose a significant challenge in achieving a balance between high-performance filtration and multifunctional smart integration.Electrospinning triboelectric nanogenerators(TENG)provide a significant potential for use under such difficult circumstances.We have successfully constructed a high-performance TENG utilizing a novel multi-scale nanofiber architecture.Nylon 66(PA66)and chitosan quaternary ammonium salt(HACC)composites were prepared by electrospinning,and PA66/H multiscale nanofiber membranes composed of nanofibers(≈73 nm)and submicron-fibers(≈123 nm)were formed.PA66/H multi-scale nanofiber membrane as the positive electrode and negative electrode-spun PVDF-HFP nanofiber membrane composed of respiration-driven PVDF-HFP@PA66/H TENG.The resulting PVDF-HFP@PA66/H TENG based air filter utilizes electrostatic adsorption and physical interception mechanisms,achieving PM_(0.3)filtration efficiency over 99%with a pressure drop of only 48 Pa.Besides,PVDF-HFP@PA66/H TENG exhibits excellent stability in high-humidity environments,with filtration efficiency reduced by less than 1%.At the same time,the TENG achieves periodic contact separation through breathing drive to achieve self-power,which can ensure the long-term stability of the filtration efficiency.In addition to the air filtration function,TENG can also monitor health in real time by capturing human breathing signals without external power supply.This integrated system combines high-efficiency air filtration,self-powered operation,and health monitoring,presenting an innovative solution for air purification,smart protective equipment,and portable health monitoring.These findings highlight the potential of this technology for diverse applications,offering a promising direction for advancing multifunctional air filtration systems.
文摘Let F be an arbitrary field of characteristic p≠2, and L be an infinite Lie, algebra ofCartan type (graded or complete). When p>3 (or p is arbitrary), the set of ad-nilpotent(or quasi-nilpotent) elements of L is determined. Consequently, it is proved that the naturalfiltration and the noncontractible filtration of L are invariant.
基金Pan Zhang is supported by the Fundamental Research Funds for the Central Universities(No.19lgpy239).
文摘The purpose of this paper is twofold.We first solve the Dirichlet problem forτ-Hermitian-Einstein equations on holomorphic filtrations over compact Hermitian manifolds.Secondly,by using Uhlenbeck-Yau’s continuity method,we prove the existence of approximateτ-Hermitian-Einstein structure on holomorphic filtrations over closed Gauduchon manifolds.
基金Project supported by the National Natural Science Foundation of China.
文摘The work of the classification of the simple Lie algebras over algebraical closed fieldF of prime characteristc p began nearly 50 years ago and the problem has been solved just recentlyunder the condition p】7,and the generalized Kostrikin-Safarevic conjecture that these al-gebras are all of classical or Cartan type is verified.For the classification of simple Liealgebras over non-closed fields,it is necessary to consider the forms.A central simple
文摘We obtain alternative explicit Specht filtrations for the induced and the restricted Specht modules in the Hecke algebra of the symmetric group (defined over the ring A = Z[g^1/2, q^-1/2], where q is an indeterminate) using C-bases for these modules. Moreover, we provide a link bet ween a certain C-basis for the induced Specht module and the notion of pairs of partitions.
文摘This paper interprets mixed multiplicities of good filtrations as Hilbert-Samuel multiplicities, and shows that (ε1,..., εm)-superficial sequences in [16] (2007) and superficial sequences in [15] (1973) are weak-(FC)-sequences in [19] (2000). As consequences, we not only obtain generalized results for mixed multiplicities of ideals in [15, 16, 19] but also get an improvement of [19, Theorem 3.4] that seems to account well for the essence of [16, Theorem 1.4].
文摘In this article,we investigate the shift of Abbes and Saito’s ramification filtrations of the absolute Galois group of a complete discrete valuation field of positive characteristic under a purely inseparable extension.We also study a functoriality property for characteristic forms.
文摘Machine learning(ML)is a type of artificial intelligence that assists computers in the acquisition of knowledge through data analysis,thus creating machines that can complete tasks otherwise requiring human intelligence.Among its various applications,it has proven groundbreaking in healthcare as well,both in clinical practice and research.In this editorial,we succinctly introduce ML applications and present a study,featured in the latest issue of the World Journal of Clinical Cases.The authors of this study conducted an analysis using both multiple linear regression(MLR)and ML methods to investigate the significant factors that may impact the estimated glomerular filtration rate in healthy women with and without non-alcoholic fatty liver disease(NAFLD).Their results implicated age as the most important determining factor in both groups,followed by lactic dehydrogenase,uric acid,forced expiratory volume in one second,and albumin.In addition,for the NAFLD-group,the 5th and 6th most important impact factors were thyroid-stimulating hormone and systolic blood pressure,as compared to plasma calcium and body fat for the NAFLD+group.However,the study's distinctive contribution lies in its adoption of ML methodologies,showcasing their superiority over traditional statistical approaches(herein MLR),thereby highlighting the potential of ML to represent an invaluable advanced adjunct tool in clinical practice and research.
基金financially supported by the New Jersey Department of Environmental ProtectionUS EPA。
文摘In this study,synthetic wastewater containing 110μg/L arsenate(As(V)),0-20 mg/L fulvic acid(FA),and 0-12.3 mg/L phosphate was treated with 3 mg/L Fe3+.The mechanisms of FA and phosphate effects on As(V)removal by ferric chloride were determined using 0.22-10μm pore-size filtration,Zetasizer analysis,and in situ flow through cell ATR-FTIR.The results showed that up to 20mg/L FA had almost no effect on the solubility of ferric hydroxide precipitates and adsorption of As(V)by the precipitates.When FA concentration increased from 0 to 20 mg/L,the adsorption of FA led to higher negative zeta potential of the precipitates and the strong electrostatic repulsion between the precipitates decreased the particle size of ferric hydroxide flocs fromlarger than 10μmto smaller than 1μm.In the presence of 5-20 mg/L FA,46%-63%As(V)was adsorbed onto the flocs with particle size in the range of 0.45-1μm.On the other hand,phosphate did not affect the size of ferric hydroxide flocs and significantly increased the dissolved As(V)concentration because it competed with As(V)for adsorption sites on ferric hydroxide precipitates.The addition of 5mg/L cationic organic flocculant significantly reduced the effect of FA on As(V)removal,but did not reduce the effect of phosphate on As(V)removal.The findings of this study will help develop effective arsenic treatment techniques and predict the mobility of arsenic in the environment.
文摘BACKGROUND With an increase in the elderly population,the frequency of hospitalizations in recent years has also risen at a rapid pace.This,in turn,has resulted in poor outcomes and costly treatments.Hospitalization rates increase in elderly patients due to a decline in glomerular filtration rate(GFR).AIM To investigate the connection between GFR and comorbidity and reasons for hospitalization in elderly patients.METHODS We analyzed patients aged 75 years and over who were admitted to the internal medicine clinic of a tertiary hospital in Eskisehir.At admission,we calculated GFR values using the Modification of Diet in Renal Disease study formula and classified them into six categories:G1,G2,G3a,G3b,G4,and G5.We analyzed associations with hospitalization diagnoses and comorbidity factors.RESULTS The average age of the patients was 80.8 years(±4.5 years).GFR was 57.287±29.5 mL/kg/1.73 m2 in women and 61.3±31.5 mL/kg/1.73 m2 in men(P=0.106).Most patients were admitted to the hospital at G2 stage(32.8%).The main reasons for hospitalization were anemia(34.4%and 28.6%)and malnutrition(20.9%and 20.8%)in women and men,respectively(P=0.078).The most frequent comor-bidity leading to hospitalization was arterial hypertension(n=168,28%),fo-llowed by diabetes(n=166,27.7%)(P=0.001).CONCLUSION When evaluating geriatric patients,low GFR alone does not provide sufficient information.Patients’comorbid factors should also be taken into account.There is no association between low GFR during hospitalization and hospitalization-Hamarat H.Aging and GFR related diagnoses.Knowing the GFR value before hospitalization will be more informative in such studies.
基金The financial support from the National Natural Science Foundation of China(22127812,22278433,22178379)the National Key Research and Development Program of China(2021YFC2800902)are gratefully acknowledged。
文摘The mechanism of hydrate-based desalination is that water molecules would transfer to the hydrate phase during gas hydrate formation process,while the salt ions would be conversely concentrated in the unreacted saltwater.However,the salt concentration of hydrate decomposed water and the desalination degree of hydrate phase are still unclear.The biggest challenge is how to effectively separate the hydrate phase and the remaining unreacted salt water,and then decompose the hydrate phase to measure the salt concentration of hydrate melt water.This work developed an apparatus and pressure-driven filtration method to efficiently separate the hydrate phase and the remaining unreacted saltwater.On this basis,the single hydrate phase was obtained,then it was dissociated and the salt concentration of hydrate melt water was measured.The experimental results demonstrate that when the initial salt mass concentration is 0.3% to 8.0%,the salt removal efficiency for NaCl solution is 15.9% to 29.8%by forming CO_(2) hydrate,while for CaCl_(2) solution is 28.9%to 45.5%.The solute CaCl_(2) is easier to be removed than solute NaCl.In addition,the salt removal efficiency for forming CO_(2) hydrate is higher than that for forming methane hydrate.The multi-stage desalination can continuously decrease the salt concentration of hydrate dissociated water,and the salt removal efficiency per stage is around 20%.
基金supported by the Yunnan Province Nonferrous Metal Vacuum Metallurgy Top Team[No.202305AS350012]。
文摘Magnesium(Mg),as one of the most abundant elements in earth's crust,is the lightest structural metal with extensive applications across various industries.However,the performance of Mg-based products is highly dependent on their impurity levels,and the lack of high-purity Mg,along with efficient purification method,has posed significant challenge to its widespread industrial adoption.This study investigates the impurity behavior in Mg ingots during the vacuum gasification purification process.Through the analysis of binary phase diagrams,iron(Fe)-based foam material was selected for the filtration and purification of Mg vapor in a vacuum tube furnace.A novel approach combining vacuum gasification,vapor purification,and directional condensation is proposed.The effect of filter pore sizes and filtration temperatures on the efficacy of impurity removal was evaluated.Experimental results demonstrate that Fe-based foam with a pore size of 60 ppi,at a filtration temperature of 773 K,effectively removes impurities such as calcium(Ca),potassium(K),sodium(Na),manganese(Mn),silicon(Si),aluminum(Al),and various oxides,sulfides,and chlorides from the vapor phase.Consequently,high-purity Mg with a purity level exceeding 5N3 was obtained in the condensation zone.
基金supported by the Strategic Priority Research Program of the Chinese Academy of Sciences(XDA29020400)the National Key Research and Development Program of China(2018YFB0605003)financial support from the Science and Technology Program of Yan'an(2023SLGYGG-001)。
文摘Granular bed filter is one of the most promising technologies for the dust removal from high temperature coal pyrolysis gas.In this work,three-dimensional numerical models were employed to investigate the influence of operation parameters on collection efficiency,especially paying attention to particle deposition characteristics in the bed and outlet particle size distribution.The results show that the operation parameters have different effects on the collection efficiency of particles with the different properties.Under the same conditions,the collection efficiency of granular bed for circulating ash increases more rapidly compared to that of char particles.According to the effective Stokes number(N_(steff)),the collection efficiency of granular bed can be obviously divided into three regions:difficult separation region(N_(steff)≤0.25),transition region(0.25<N_(steff)<0.83)and easy separation region(N_(steff)≥0.83).Dust deposition within the bed exhibits axial attenuation along the gas flow direction,allowing classification of deposited particles into two characteristic types:dispersed particles and congregated particles.In addition,granular bed filtration induces a morphological transition of particle size distribution,transforming the original monomodal profile into a well-defined bimodal structure.A correlation formula of the collection efficiency was developed,providing critical insights for the engineering design of granular bed filters.
基金Supported by Hospital Level Project of the Eye Hospital of China Academy of Chinese Medical Sciences(No.GSP5-40)Internal Project of the Eye Hospital of China Academy of Chinese Medical Sciences(No.1011632).
文摘Glaucoma filtration surgery(GFS)stands as the most effective intervention for reducing intraocular pressure,a critical component in glaucoma management.Despite its pivotal role,the scarring of the filtration bleb remains the primary impediment to successful GFS outcomes.Perioperative utilization of antimitotics,while frontline in combating fibrosis and modulating the wound healing process,carries the risk of vision-threatening complications.Given the complexity of the wound healing cascade and the potential insufficiency of targeting a single molecule,there is an imperative to expand therapeutic modalities through combination therapies.This review offers a comprehensive elucidation of the fibrogenesis post-GFS,a synthesis unprecedented in the available literature,and aims to inform the broadening of therapeutic strategies for GFS.