We consider the following (1 + 3)-dimensional P(1,4)-invariant partial differential equations (PDEs): the Eikonal equation, the Euler-Lagrange-Born-Infeld equation, the homogeneous Monge-Ampère equation, the inho...We consider the following (1 + 3)-dimensional P(1,4)-invariant partial differential equations (PDEs): the Eikonal equation, the Euler-Lagrange-Born-Infeld equation, the homogeneous Monge-Ampère equation, the inhomogeneous Monge-Ampère equation. The purpose of this paper is to construct and classify the common invariant solutions for those equations. For this aim, we have used the results concerning construction and classification of invariant solutions for the (1 + 3)-dimensional P(1,4)-invariant Eikonal equation, since this equation is the simplest among the equations under investigation. The direct checked allowed us to conclude that the majority of invariant solutions of the (1 + 3)-dimensional Eikonal equation, obtained on the base of low-dimensional (dimL ≤ 3) nonconjugate subalgebras of the Lie algebra of the Poincaré group P(1,4), satisfy all the equations under investigation. In this paper, we present obtained common invariant solutions of the equations under study as well as the classification of those invariant solutions.展开更多
In this paper we study the convergence nf a class of means on H^p(G)(0<p<1),the means take the Bochner-Riesz means in[1],the generalized Bochner-Riesz means in[2],and the operators T^(Φ_r)in[3]as special cases....In this paper we study the convergence nf a class of means on H^p(G)(0<p<1),the means take the Bochner-Riesz means in[1],the generalized Bochner-Riesz means in[2],and the operators T^(Φ_r)in[3]as special cases.We obtain weak-type estimates for the associated maximal operators and the maximal mean boundedness for the means.展开更多
This study investigated the antifungal activity and possible mode of action of Bacillus pumilus HN-10 antifungal peptide P-1 against Trichothecium roseum.The results showed that the antifungal peptide P-1 at a concent...This study investigated the antifungal activity and possible mode of action of Bacillus pumilus HN-10 antifungal peptide P-1 against Trichothecium roseum.The results showed that the antifungal peptide P-1 at a concentration of 1.0μg mL^(-1)had strong antifungal activity against T.roseum.P-1 inhibited the tricarboxylic acid cycle(TCA)pathway and the transporter pathway of NADH to coenzyme Q on the electron transport chain.P-1 significantly reduced succinate dehydrogenase(SDH),malate dehydrogenase(MDH),ATPase,mitochondrial complex enzymes I,II and IV enzyme activities on the electron transport chain,and 5'-triphosphate(ATP),5'-diphosphate(ADP),5'-monophosphate(AMP)content,and energy charge(EC);significantly increased 6-phosphofructokinase(PFK)enzyme activity.The release of Ca^(2+)(OD_(680))from the inner mitochondrial membrane and the openness of the mitochondrial permeability transition pore(MPTP)were analysed,and microscopy was performed following staining of mitochondria with JC-1.The results indicated that P-1 significantly increased the release of Ca^(2+) and the openness of MPTP,decreased the mitochondrial membrane potential,and produced green fluorescence;transcriptomics data analysis showed that there were 39 differentially expressed genes(DEGs)related to energy metabolism enzymes.The results verified by qRT-PCR were basically consistent with the transcriptome sequencing results.Thus,P-1 achieved its inhibitory effect mainly by regulating genes related to energy metabolism.展开更多
We investigate Besov spaces and their connection with trigonometric polynomial approximation in L_p[－π,π], algebraic polynomial approximation in L_p[-1,1], algebraic polynomial approximation in L_p(S), and entir...We investigate Besov spaces and their connection with trigonometric polynomial approximation in L_p[－π,π], algebraic polynomial approximation in L_p[-1,1], algebraic polynomial approximation in L_p(S), and entire function of exponential type approximation in Lp(R), and characterize K-functionals for certain pairs of function spaces including (Lp [-π,π], B_s~α (Lp[-π，π])), (L_p(R),B_s~α (Lp(R))), (Lp[-1,1],B_s~α (Lp[-1,1])), and (Lp(S),B_s~α (Lp(S))), where 0<s<, 0<p<1, S is a simple polytope and 0<α<r.展开更多
Let D={z∈: |z|【1} and φ be a normal function on [0, 1). For p∈(0, 1) such a function φ is used to define a Bergman space A^p(φ) on D with weight φ~p(|·|)/(1-|·|~2). In this paper, the dual space of A...Let D={z∈: |z|【1} and φ be a normal function on [0, 1). For p∈(0, 1) such a function φ is used to define a Bergman space A^p(φ) on D with weight φ~p(|·|)/(1-|·|~2). In this paper, the dual space of A^p(φ) is given, four characteristics of Carleson measure on A^p(φ) are obtained. Moreover, as an application, three sequence interpolation theorems in A^p(φ) are derived.展开更多
Given a simple undirected graph G. We denote the sets of its vertices and edges by V（G） and E（G） respectively. G is called a （P, P—K） graph （or G=（P, P—K）） if |V（G）|=P and |E（G）|=|V（G）|—K. Let {G1, ...Given a simple undirected graph G. We denote the sets of its vertices and edges by V（G） and E（G） respectively. G is called a （P, P—K） graph （or G=（P, P—K）） if |V（G）|=P and |E（G）|=|V（G）|—K. Let {G1, G2} be a pair of graphs of the same order. If G1 is isomorphic to a subgraph of （?）2, where （?）2 is the com-展开更多
The purpose of the present paper is to evaluate the error of the approximation of the func- tion fL_1[0,1]by Kantorovich-Bernstein polynomials in L_p-metric(0<p<1).
The space groups of 244 crystal structures originally reported as P-1 are revised to space groups of higher symmetry. The largest number involves revisions to P2/c and C2/c.
通过数值模拟的方法,利用C F D软件FLUENT6.0,建立实体计算模型并采用六面体结构与非结构混合网格对模型进行网格划分;采用标准K-ε湍流模型和P-1辐射模型对辊道窑烧成带内气体流场与温度场进行了数值模拟研究。得出了窑内气体流场和温...通过数值模拟的方法,利用C F D软件FLUENT6.0,建立实体计算模型并采用六面体结构与非结构混合网格对模型进行网格划分;采用标准K-ε湍流模型和P-1辐射模型对辊道窑烧成带内气体流场与温度场进行了数值模拟研究。得出了窑内气体流场和温度场的分布,分析了流场对窑内气体温度场和对流换热的影响。展开更多
文摘We consider the following (1 + 3)-dimensional P(1,4)-invariant partial differential equations (PDEs): the Eikonal equation, the Euler-Lagrange-Born-Infeld equation, the homogeneous Monge-Ampère equation, the inhomogeneous Monge-Ampère equation. The purpose of this paper is to construct and classify the common invariant solutions for those equations. For this aim, we have used the results concerning construction and classification of invariant solutions for the (1 + 3)-dimensional P(1,4)-invariant Eikonal equation, since this equation is the simplest among the equations under investigation. The direct checked allowed us to conclude that the majority of invariant solutions of the (1 + 3)-dimensional Eikonal equation, obtained on the base of low-dimensional (dimL ≤ 3) nonconjugate subalgebras of the Lie algebra of the Poincaré group P(1,4), satisfy all the equations under investigation. In this paper, we present obtained common invariant solutions of the equations under study as well as the classification of those invariant solutions.
文摘In this paper we study the convergence nf a class of means on H^p(G)(0<p<1),the means take the Bochner-Riesz means in[1],the generalized Bochner-Riesz means in[2],and the operators T^(Φ_r)in[3]as special cases.We obtain weak-type estimates for the associated maximal operators and the maximal mean boundedness for the means.
基金financially supported by National Key R&D Program of China(2018YFD0400205).
文摘This study investigated the antifungal activity and possible mode of action of Bacillus pumilus HN-10 antifungal peptide P-1 against Trichothecium roseum.The results showed that the antifungal peptide P-1 at a concentration of 1.0μg mL^(-1)had strong antifungal activity against T.roseum.P-1 inhibited the tricarboxylic acid cycle(TCA)pathway and the transporter pathway of NADH to coenzyme Q on the electron transport chain.P-1 significantly reduced succinate dehydrogenase(SDH),malate dehydrogenase(MDH),ATPase,mitochondrial complex enzymes I,II and IV enzyme activities on the electron transport chain,and 5'-triphosphate(ATP),5'-diphosphate(ADP),5'-monophosphate(AMP)content,and energy charge(EC);significantly increased 6-phosphofructokinase(PFK)enzyme activity.The release of Ca^(2+)(OD_(680))from the inner mitochondrial membrane and the openness of the mitochondrial permeability transition pore(MPTP)were analysed,and microscopy was performed following staining of mitochondria with JC-1.The results indicated that P-1 significantly increased the release of Ca^(2+) and the openness of MPTP,decreased the mitochondrial membrane potential,and produced green fluorescence;transcriptomics data analysis showed that there were 39 differentially expressed genes(DEGs)related to energy metabolism enzymes.The results verified by qRT-PCR were basically consistent with the transcriptome sequencing results.Thus,P-1 achieved its inhibitory effect mainly by regulating genes related to energy metabolism.
基金This project is supported by the National Natural Science Foundation of China.
文摘We investigate Besov spaces and their connection with trigonometric polynomial approximation in L_p[－π,π], algebraic polynomial approximation in L_p[-1,1], algebraic polynomial approximation in L_p(S), and entire function of exponential type approximation in Lp(R), and characterize K-functionals for certain pairs of function spaces including (Lp [-π,π], B_s~α (Lp[-π，π])), (L_p(R),B_s~α (Lp(R))), (Lp[-1,1],B_s~α (Lp[-1,1])), and (Lp(S),B_s~α (Lp(S))), where 0<s<, 0<p<1, S is a simple polytope and 0<α<r.
基金Supported by the Doctoral Program Foundation of Institute of Higher Education, P.R. China.
文摘Let D={z∈: |z|【1} and φ be a normal function on [0, 1). For p∈(0, 1) such a function φ is used to define a Bergman space A^p(φ) on D with weight φ~p(|·|)/(1-|·|~2). In this paper, the dual space of A^p(φ) is given, four characteristics of Carleson measure on A^p(φ) are obtained. Moreover, as an application, three sequence interpolation theorems in A^p(φ) are derived.
文摘Given a simple undirected graph G. We denote the sets of its vertices and edges by V（G） and E（G） respectively. G is called a （P, P—K） graph （or G=（P, P—K）） if |V（G）|=P and |E（G）|=|V（G）|—K. Let {G1, G2} be a pair of graphs of the same order. If G1 is isomorphic to a subgraph of （?）2, where （?）2 is the com-
文摘The purpose of the present paper is to evaluate the error of the approximation of the func- tion fL_1[0,1]by Kantorovich-Bernstein polynomials in L_p-metric(0<p<1).
文摘The space groups of 244 crystal structures originally reported as P-1 are revised to space groups of higher symmetry. The largest number involves revisions to P2/c and C2/c.
