In this paper, we establish the following limiting weak-type behaviors of Littlewood-Paley g-function g_φ: for nonnegative function f∈ L^1(R^n),■and ■where f_t(x) =t^(-n)f(t^(-1) x) for t > 0. Meanwhile, the co...In this paper, we establish the following limiting weak-type behaviors of Littlewood-Paley g-function g_φ: for nonnegative function f∈ L^1(R^n),■and ■where f_t(x) =t^(-n)f(t^(-1) x) for t > 0. Meanwhile, the corresponding results for Marcinkiewicz integral and its fractional version with kernels satisfying L_α~q-Dini condition are also given.展开更多
Membrane technology has been used for H_2 purification. In this paper, the systematic density functional simulations are conducted to study the separation of H_2 from the impurity gases(H_2, N_2, H_2 O, CO, Cl_2, and ...Membrane technology has been used for H_2 purification. In this paper, the systematic density functional simulations are conducted to study the separation of H_2 from the impurity gases(H_2, N_2, H_2 O, CO, Cl_2, and CH_4) by the bilayer porous graphitic carbon nitride(g-C_3 N_4) membrane. Theoretically, the bilayer g-C3 N4 membrane with a diameter of about3.25 A? should be a perfect candidate for H_2 purification from these mixed gases, which is verified by the high selectivity(S) for H_2 over other kinds of gases(3.43 × 1028 for H_2/N2; 1.40 × 1028 for H_262/H_2 O; 1.60 × 10 for H_2/CO; 4.30 × 10^(14) for H_2/Cl_2; 2.50 × 10^(55) for H_2/CH_4), and the permeance(P) of H_2(13 mol/m^2·s·Pa) across the bilayer g-C_3 N_4 membrane at 300 K, which should be of great potential in energy and environmental research. Our studies highlight a new approach towards the final goal of high P and high S molecular-sieving membranes used in simple structural engineering.展开更多
Since the room-temperature detector CdZnTe(CZT) has advantages in terms of detection efficiency,energy resolution, and size, it has been extensively used to detect X-rays and gamma-rays. So far, nuclear radiation dete...Since the room-temperature detector CdZnTe(CZT) has advantages in terms of detection efficiency,energy resolution, and size, it has been extensively used to detect X-rays and gamma-rays. So far, nuclear radiation detectors such as cerium chloride doped with lanthanum bromide(LaBr_3(Ce)), thallium doped with cesium iodide(sI(Tl)), thallium doped with sodium iodide(NaI(Tl)),and high-purity germanium(HPGe) primarily use the spectroscopy-dose rate function(G(E)) to achieve the accurate measurement of air kerma rate(K_a) and ambient dose equivalent rate(H*(10)). However, the spectroscopy-dose rate function has been rarely measured for a CZT detector. In this study, we performed spectrum measurement using a hemispherical CZT detector in a radiation protection standards laboratory. The spectroscopy-dose rate function G(E) of the CZT detector was calculated using the least-squares method combined with the standard dose rate at the measurement position. The results showed that the hemispherical CZT detector could complete the measurement of air kerma rate(K_a) and ambient dose equivalent rate(H*(10)) by using the G(E) function at energies between 48 keV and 1.25 MeV, and the relative intrinsic errors were, respectively, controlled within ± 2. 3 and ± 2. 1%.展开更多
In this paper a generalized tanh-function type method is proposed by using the idea of the transformed rational function method. We show that the (G'/G)?-expansion method is a special case of the generalized tanh-...In this paper a generalized tanh-function type method is proposed by using the idea of the transformed rational function method. We show that the (G'/G)?-expansion method is a special case of the generalized tanh-function type method, so the (G'/G)?-expansion method is considered as a special deformation application of the transformed rational function method. We demonstrate that all solutions obtained by the (G'/G)?-expansion method were found by the generalized tanh-function type method. As applications, we consider mKdV equation. Compared with the (G'/G) -expansion method, the generalized tanh-function type method gives new and more abundant solutions.展开更多
Changes in the functional activity and levels of Gsa and Gia in heart failure have been studied predominantly in the end-stage failing heart.The objective of this study was to determine if levels and function of Gsa a...Changes in the functional activity and levels of Gsa and Gia in heart failure have been studied predominantly in the end-stage failing heart.The objective of this study was to determine if levels and function of Gsa and Gia2 in rat hearts change over time following acute myocar(lial infarction (MI) and if so,whether the changes in G proteins are associated with changes in heart function.As compared with sham-operated controls, Giα2, level of MI rats did not change at day l,increased by 64% at day 3 (P<0.01) and 55% at day 9 (P< 0.05)accompanied by reduced adenylyl cyclase activity,and returned to control by day 21. By contrast,Gsa level did not change at any time. Cardiac function in MI animals was markedly impaired at days 1,3 and 9 as evidenced by substantial elevation in LVEDP and reduction in +and -dp/dtmax,and partially restored at day 21. The increased Gia2level in MI rats at days 3 and 9 correlated positively to LVEDP(P< 0.05), and negatively to +and -dp/dtmax (p < 0. 01).The results show a three phase dynamic pattern in Gia2 level following acute MI:a lag phase, an increased expression phase associated with marked impairment of heart function,and a late phase in which the expression retums to control level accompanied by partially restored cardlac function.The results suggest that ② in G protein-mediated pathways,cardiac myocytes respond to MI Via regulating the gene expression of the inhibitory pathway, and ② up-regulation of Gia2 levels is related to the severity of impairment in cardiac function.展开更多
The explicit expression of the G3 basis function is presented in this paper. It is derived by constructing the conversion matrix between G3 basis function and Brzier representation. After the matrix decomposition, equ...The explicit expression of the G3 basis function is presented in this paper. It is derived by constructing the conversion matrix between G3 basis function and Brzier representation. After the matrix decomposition, equations for constructing G3 splines can be presented independently of geometric shape parameters＇ values. It makes the equation＇s solving easier. It is also known that the general form of the G3spline basis function is given in the first time. Its geometric construction method is presented.展开更多
文摘In this paper, we establish the following limiting weak-type behaviors of Littlewood-Paley g-function g_φ: for nonnegative function f∈ L^1(R^n),■and ■where f_t(x) =t^(-n)f(t^(-1) x) for t > 0. Meanwhile, the corresponding results for Marcinkiewicz integral and its fractional version with kernels satisfying L_α~q-Dini condition are also given.
基金Project supported by the Fundamental Research Funds for the Central Universities,China(Grant No.2018B19414)the Natural Science Foundation of Jiangsu Province,China(Grant No.BK20161501)+5 种基金the Six Talent Peaks Project in Jiangsu Province,China(Grant No.2015-XCL-010)the National Natural Science Foundation of China(Grant Nos.51776094 and 51406075)the Program of Henan Provincial Department of Education,China(Grant No.16A330004)the Special Fund of Nanyang Normal University,China(Grant No.ZX2016003)the Science and Technology Program of Henan Department of Science and Technology,China(Grant No.182102310609)the Scientific Research and Service Platform Fund of Henan Province,China(Grant No.2016151)
文摘Membrane technology has been used for H_2 purification. In this paper, the systematic density functional simulations are conducted to study the separation of H_2 from the impurity gases(H_2, N_2, H_2 O, CO, Cl_2, and CH_4) by the bilayer porous graphitic carbon nitride(g-C_3 N_4) membrane. Theoretically, the bilayer g-C3 N4 membrane with a diameter of about3.25 A? should be a perfect candidate for H_2 purification from these mixed gases, which is verified by the high selectivity(S) for H_2 over other kinds of gases(3.43 × 1028 for H_2/N2; 1.40 × 1028 for H_262/H_2 O; 1.60 × 10 for H_2/CO; 4.30 × 10^(14) for H_2/Cl_2; 2.50 × 10^(55) for H_2/CH_4), and the permeance(P) of H_2(13 mol/m^2·s·Pa) across the bilayer g-C_3 N_4 membrane at 300 K, which should be of great potential in energy and environmental research. Our studies highlight a new approach towards the final goal of high P and high S molecular-sieving membranes used in simple structural engineering.
基金supported by the National Key Scientific Instruments to Develop Dedicated(Nos.2013YQ090811 and 2016YFF0103800)
文摘Since the room-temperature detector CdZnTe(CZT) has advantages in terms of detection efficiency,energy resolution, and size, it has been extensively used to detect X-rays and gamma-rays. So far, nuclear radiation detectors such as cerium chloride doped with lanthanum bromide(LaBr_3(Ce)), thallium doped with cesium iodide(sI(Tl)), thallium doped with sodium iodide(NaI(Tl)),and high-purity germanium(HPGe) primarily use the spectroscopy-dose rate function(G(E)) to achieve the accurate measurement of air kerma rate(K_a) and ambient dose equivalent rate(H*(10)). However, the spectroscopy-dose rate function has been rarely measured for a CZT detector. In this study, we performed spectrum measurement using a hemispherical CZT detector in a radiation protection standards laboratory. The spectroscopy-dose rate function G(E) of the CZT detector was calculated using the least-squares method combined with the standard dose rate at the measurement position. The results showed that the hemispherical CZT detector could complete the measurement of air kerma rate(K_a) and ambient dose equivalent rate(H*(10)) by using the G(E) function at energies between 48 keV and 1.25 MeV, and the relative intrinsic errors were, respectively, controlled within ± 2. 3 and ± 2. 1%.
文摘In this paper a generalized tanh-function type method is proposed by using the idea of the transformed rational function method. We show that the (G'/G)?-expansion method is a special case of the generalized tanh-function type method, so the (G'/G)?-expansion method is considered as a special deformation application of the transformed rational function method. We demonstrate that all solutions obtained by the (G'/G)?-expansion method were found by the generalized tanh-function type method. As applications, we consider mKdV equation. Compared with the (G'/G) -expansion method, the generalized tanh-function type method gives new and more abundant solutions.
文摘Changes in the functional activity and levels of Gsa and Gia in heart failure have been studied predominantly in the end-stage failing heart.The objective of this study was to determine if levels and function of Gsa and Gia2 in rat hearts change over time following acute myocar(lial infarction (MI) and if so,whether the changes in G proteins are associated with changes in heart function.As compared with sham-operated controls, Giα2, level of MI rats did not change at day l,increased by 64% at day 3 (P<0.01) and 55% at day 9 (P< 0.05)accompanied by reduced adenylyl cyclase activity,and returned to control by day 21. By contrast,Gsa level did not change at any time. Cardiac function in MI animals was markedly impaired at days 1,3 and 9 as evidenced by substantial elevation in LVEDP and reduction in +and -dp/dtmax,and partially restored at day 21. The increased Gia2level in MI rats at days 3 and 9 correlated positively to LVEDP(P< 0.05), and negatively to +and -dp/dtmax (p < 0. 01).The results show a three phase dynamic pattern in Gia2 level following acute MI:a lag phase, an increased expression phase associated with marked impairment of heart function,and a late phase in which the expression retums to control level accompanied by partially restored cardlac function.The results suggest that ② in G protein-mediated pathways,cardiac myocytes respond to MI Via regulating the gene expression of the inhibitory pathway, and ② up-regulation of Gia2 levels is related to the severity of impairment in cardiac function.
基金Supported by National Natural Science Foundation of China(Grants 61100129)Open Program of Key Laboratory of Intelligent Information Processing,Institute of Computing Technology,Chinese Academy of Sciences(IIP2014-7)
文摘The explicit expression of the G3 basis function is presented in this paper. It is derived by constructing the conversion matrix between G3 basis function and Brzier representation. After the matrix decomposition, equations for constructing G3 splines can be presented independently of geometric shape parameters＇ values. It makes the equation＇s solving easier. It is also known that the general form of the G3spline basis function is given in the first time. Its geometric construction method is presented.
