In this paper, the Schr?dinger equation is solved by Modified separation of variables (MSV) method suggested by Pishkoo and Darus. Using this method, Meijer’s G-function solutions are derived in cylindrical coordinat...In this paper, the Schr?dinger equation is solved by Modified separation of variables (MSV) method suggested by Pishkoo and Darus. Using this method, Meijer’s G-function solutions are derived in cylindrical coordinate system for quantum particle in cylindrical can. All elementary functions and most of the special functions which are the solution of extensive problems in physics and engineering are special cases of Meijer’s G-functions.展开更多
A precise diagnosis of the complex post-fracturing characteristics and parameter variations in tight gas reservoirs is essential for optimizing fracturing technology,enhancing treatment effectiveness,and assessing pos...A precise diagnosis of the complex post-fracturing characteristics and parameter variations in tight gas reservoirs is essential for optimizing fracturing technology,enhancing treatment effectiveness,and assessing post-fracturing production capacity.Tight gas reservoirs face challenges due to the interaction between natural fractures and induced fractures.To address these issues,a theoretical model for diagnosing fractures under varying leak-off mechanisms has been developed,incorporating the closure behavior of natural fractures.This model,grounded in material balance theory,also accounts for shut-in pressure.The study derived and plotted typical G-function charts,which capture fracture behavior during closure.By superimposing the G-function in the closure phase of natural fractures with pressure derivative curves,the study explored how fracture parameters—including leak-off coefficient,fracture area,closure pressure,and closure time—impact these diagnostic charts.Findings show that variations in natural fracture flexibility,fracture area,and controlling factors influence the superimposed G-function pressure derivative curve,resulting in distinctive“concave”or“convex”patterns.Field data from Well Y in a specific tight gas reservoir were used to validate the model,confirming both its reliability and practicality.展开更多
We consider the g-function related to a class of radial functions which gives a characterization of the L^p-norm of a function on the Heisenberg group.
GPR126也称ADGRG6,是研究较为深入的黏附类G蛋白偶联受体(adhesion G protein-coupled receptors,aGPCRs)成员之一。最初,GPR126被认为是一种与肌肉发育相关的受体,主要在肌肉和骨骼系统中表达;随着研究的深入,人们发现GPR126在哺乳动...GPR126也称ADGRG6,是研究较为深入的黏附类G蛋白偶联受体(adhesion G protein-coupled receptors,aGPCRs)成员之一。最初,GPR126被认为是一种与肌肉发育相关的受体,主要在肌肉和骨骼系统中表达;随着研究的深入,人们发现GPR126在哺乳动物多个组织和器官中表达,并参与胚胎发育、神经系统发育和细胞外基质相互作用等多种生物学过程。GPR126具有典型的aGPCRs的七次跨膜螺旋结构,可介导跨膜信号转导,参与调控细胞增殖、分化和迁移等多种细胞过程。近年来,GPR126新配体的发现为探索其生理功能提供了有价值的工具。然而,目前GPR126在各类疾病中的生物学功能及其作为治疗靶点的潜力仍待进一步研究。该文重点描述GPR126的结构、物种间差异性与保守性、信号转导及其生物学功能,为未来GPR126的研究提供思路和参考。展开更多
Let （x, d,u） be a metric measure the upper doubling conditions. Under the weak space satisfying both the geometrically doubling and reverse doubling condition, the authors prove that the generalized homogeneous Litt...Let （x, d,u） be a metric measure the upper doubling conditions. Under the weak space satisfying both the geometrically doubling and reverse doubling condition, the authors prove that the generalized homogeneous Littlewood-Paley g-function gr （r ∈ [2, ∞）） is bounded from Hardy space H1（u） into L1（u）. Moreover, the authors show that, if f ∈ RBMO（u）, then [gr（f）]r is either infinite everywhere or finite almost everywhere, and in the latter case, [gr（f）]r belongs to RBLO（u） with the norm no more than ｜｜f｜｜ RBMO（u） multiplied by a positive constant which is independent of f. As a corollary, the authors obtain the boundedness of gr from RBMO（u） into RBLO（u）. The vector valued Calderon-Zygmund theory over （X, d, u） is also established with details in this paper.展开更多
Let Ω be a smoothly bounded convex domain of finite type in Cn,Ω be the boundary of Ω, S α(f) and g(f) be the area integral and Littlewood-Paley g-function on Ω,respectively. If f ∈ BMOA,then S α(f) < ∞ a.e...Let Ω be a smoothly bounded convex domain of finite type in Cn,Ω be the boundary of Ω, S α(f) and g(f) be the area integral and Littlewood-Paley g-function on Ω,respectively. If f ∈ BMOA,then S α(f) < ∞ a.e. on Ω,and there exists a constant C such that Sα(f) ‖*≤ C ‖f‖*. The same result also holds for g(f).展开更多
1 .Introduotion Int 5 PaPer,we 8hall obtain omo lower estima er linear formg andPolynomial,in the values offunoion at algebraio Points.As usualdenotesan algebraio number field of
We obtain effective lower bounds for certain linear combinations of the valuesat algebraic points of a class of p-adic G-functions defined over a completion of analgebraic closure of a p-adio field.
文摘In this paper, the Schr?dinger equation is solved by Modified separation of variables (MSV) method suggested by Pishkoo and Darus. Using this method, Meijer’s G-function solutions are derived in cylindrical coordinate system for quantum particle in cylindrical can. All elementary functions and most of the special functions which are the solution of extensive problems in physics and engineering are special cases of Meijer’s G-functions.
文摘A precise diagnosis of the complex post-fracturing characteristics and parameter variations in tight gas reservoirs is essential for optimizing fracturing technology,enhancing treatment effectiveness,and assessing post-fracturing production capacity.Tight gas reservoirs face challenges due to the interaction between natural fractures and induced fractures.To address these issues,a theoretical model for diagnosing fractures under varying leak-off mechanisms has been developed,incorporating the closure behavior of natural fractures.This model,grounded in material balance theory,also accounts for shut-in pressure.The study derived and plotted typical G-function charts,which capture fracture behavior during closure.By superimposing the G-function in the closure phase of natural fractures with pressure derivative curves,the study explored how fracture parameters—including leak-off coefficient,fracture area,closure pressure,and closure time—impact these diagnostic charts.Findings show that variations in natural fracture flexibility,fracture area,and controlling factors influence the superimposed G-function pressure derivative curve,resulting in distinctive“concave”or“convex”patterns.Field data from Well Y in a specific tight gas reservoir were used to validate the model,confirming both its reliability and practicality.
基金Supported by the National Natural Science Foundation of China （No. 10371004） and the Specialized Research Fund for the Doctoral Program Higher Education of China （No. 20030001107）
文摘We consider the g-function related to a class of radial functions which gives a characterization of the L^p-norm of a function on the Heisenberg group.
文摘GPR126也称ADGRG6,是研究较为深入的黏附类G蛋白偶联受体(adhesion G protein-coupled receptors,aGPCRs)成员之一。最初,GPR126被认为是一种与肌肉发育相关的受体,主要在肌肉和骨骼系统中表达;随着研究的深入,人们发现GPR126在哺乳动物多个组织和器官中表达,并参与胚胎发育、神经系统发育和细胞外基质相互作用等多种生物学过程。GPR126具有典型的aGPCRs的七次跨膜螺旋结构,可介导跨膜信号转导,参与调控细胞增殖、分化和迁移等多种细胞过程。近年来,GPR126新配体的发现为探索其生理功能提供了有价值的工具。然而,目前GPR126在各类疾病中的生物学功能及其作为治疗靶点的潜力仍待进一步研究。该文重点描述GPR126的结构、物种间差异性与保守性、信号转导及其生物学功能,为未来GPR126的研究提供思路和参考。
基金Supported by National Natural Science Foundation of China(Grant No.11471040)the Fundamental Research Funds for the Central Universities(Grant No.2014KJJCA10)
文摘Let （x, d,u） be a metric measure the upper doubling conditions. Under the weak space satisfying both the geometrically doubling and reverse doubling condition, the authors prove that the generalized homogeneous Littlewood-Paley g-function gr （r ∈ [2, ∞）） is bounded from Hardy space H1（u） into L1（u）. Moreover, the authors show that, if f ∈ RBMO（u）, then [gr（f）]r is either infinite everywhere or finite almost everywhere, and in the latter case, [gr（f）]r belongs to RBLO（u） with the norm no more than ｜｜f｜｜ RBMO（u） multiplied by a positive constant which is independent of f. As a corollary, the authors obtain the boundedness of gr from RBMO（u） into RBLO（u）. The vector valued Calderon-Zygmund theory over （X, d, u） is also established with details in this paper.
基金supported by Natural Science Foundation of Fujian Province (Grant No. 2009J01004)
文摘Let Ω be a smoothly bounded convex domain of finite type in Cn,Ω be the boundary of Ω, S α(f) and g(f) be the area integral and Littlewood-Paley g-function on Ω,respectively. If f ∈ BMOA,then S α(f) < ∞ a.e. on Ω,and there exists a constant C such that Sα(f) ‖*≤ C ‖f‖*. The same result also holds for g(f).
文摘1 .Introduotion Int 5 PaPer,we 8hall obtain omo lower estima er linear formg andPolynomial,in the values offunoion at algebraio Points.As usualdenotesan algebraio number field of
文摘We obtain effective lower bounds for certain linear combinations of the valuesat algebraic points of a class of p-adic G-functions defined over a completion of analgebraic closure of a p-adio field.
