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The Bonnesen isoperimetric inequality in a surface of constant curvature 被引量:18
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作者 ZENG ChunNa MA Lei +1 位作者 ZHOU JiaZu CHEN FangWeit 《Science China Mathematics》 SCIE 2012年第9期1913-1919,共7页
We first estimate the containment measure of a convex domain to contain in another in a surface X of constant curvature.Then we obtain the analogue of the known Bonnesen isoperimetric inequality for convex domain in X... We first estimate the containment measure of a convex domain to contain in another in a surface X of constant curvature.Then we obtain the analogue of the known Bonnesen isoperimetric inequality for convex domain in X.Finally we strengthen the known Bonnesen isoperimetric inequality. 展开更多
关键词 hyperbolic plane projective plane kinematic formula Bonnesen isoperimetric inequality isoperi-metric deficit convex domain
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Crosslinking Mechanism of Soy Protein-based Adhesives based on Glyoxal and a Compound of Protein Model
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作者 曹龙 LIANG Jiankun +3 位作者 ZHANG Qiaoyan XI Xuedong 吴志刚 雷洪 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS CSCD 2023年第4期942-950,共9页
The crosslinking mechanism of glyoxal and asparagine was analyzed,and the relationship between the mechanism and practical performances of soy protein-based adhesives was also discussed.It is shown that when pH=1 and ... The crosslinking mechanism of glyoxal and asparagine was analyzed,and the relationship between the mechanism and practical performances of soy protein-based adhesives was also discussed.It is shown that when pH=1 and 3,glyoxal reacted with asparagine in the form of major cyclic ether compounds.When pH=5,glyoxal reacted with asparagine in two structural forms of sodium glycollate and cyclic ether compounds.However,amidogens of asparagine were easy to develop protonation under acid conditions.Supplemented by the instability of cyclic ether compounds,the reaction activity and reaction degree between glyoxal and asparagine were relatively small.Under alkaline conditions,glyoxal mainly reacted with asparagine in the form of sodium glycollate.With the increase of pH,the polycondensation was more sufficient and the produced polycondensation products were more stable.The reaction mechanism between glyoxal and asparagine had strong correspondence to the practical performances of the adhesives.Glyoxal solution could develop crosslinking reactions with soy protein under both acid and alkaline conditions.Bonding strength and water resistance of the prepared soy protein-based adhesives were increased significantly.When pH>7,glyoxal had relatively high reaction activity and reaction intensity with soy protein,and the prepared adhesives had high crosslinking density and cohesion strength,showing relatively high bonding strength,water resistance and thermal stability. 展开更多
关键词 soy protein wood adhesives GLYOXAL model compounds CROSSLINKING
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Translative containment measure and symmetric mixed isohomothetic inequalities 被引量:4
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作者 LUO Miao XU WenXue ZHOU JiaZu 《Science China Mathematics》 SCIE CSCD 2015年第12期2593-2610,共18页
We first investigate the translative containment measure for convex domain K0 to contain, or to be contained in, the homothetic copy of another convex domain K1, i.e., given two convex domains K0, K1 of areas A0, A1, ... We first investigate the translative containment measure for convex domain K0 to contain, or to be contained in, the homothetic copy of another convex domain K1, i.e., given two convex domains K0, K1 of areas A0, A1, respectively, in the Euclidean plane R2, is there a translation T so that t(T K1) K0 or t(T K1) ? K0 for t > 0? Via the translative kinematic formulas of Poincar′e and Blaschke in integral geometry,we estimate the symmetric mixed isohomothetic deficit σ2(K0, K1) ≡ A201- A0A1, where A01 is the mixed area of K0 and K1. We obtain a sufficient condition for K0 to contain, or to be contained in, t(T K1). We obtain some Bonnesen-style symmetric mixed isohomothetic inequalities and reverse Bonnesen-style symmetric mixed isohomothetic inequalities. These symmetric mixed isohomothetic inequalities obtained are known as Bonnesen-style isopermetric inequalities and reverse Bonnesen-style isopermetric inequalities if one of domains is a disc. As direct consequences, we obtain some inequalities that strengthen the known Minkowski inequality for mixed areas and the Bonnesen-Blaschke-Flanders inequality. 展开更多
关键词 translative containment measure symmetric mixed isohomothetic deficit symmetric mixed isohomothetic inequality Bonnesen-style symmetric mixed isohomothetic inequality reverse Bonnesen-style symmetric mixed isohomothetic inequality
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New Research on the Building and Developing of Materialistic Dialectics
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作者 Gong Zaifeng Wu Ning 《学术界》 CSSCI 北大核心 2013年第10期262-266,共5页
This paper elaborates the generation of the whole system and the ideological contents of materialistic dialectics from the aspects of building,development by Lenin and Mao Tse Tung and exploration by western Marxists,... This paper elaborates the generation of the whole system and the ideological contents of materialistic dialectics from the aspects of building,development by Lenin and Mao Tse Tung and exploration by western Marxists,demonstrating that materialistic dialectics should have two developmental clues,promoting the development of materialistic dialectics together. 展开更多
关键词 唯物辩证法 西方马克思主义 建筑 毛泽东 系统
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A reduced-order extrapolation algorithm based on CNLSMFE formulation and POD technique for two-dimensional Sobolev equations 被引量:2
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作者 LIU Qun TENG Fei LUO Zhen-dong 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2014年第2期171-182,共12页
A reduced-order extrapolation algorithm based on Crank-Nicolson least-squares mixed finite element (CNLSMFE) formulation and proper orthogonal decomposition (POD) technique for two-dimensional (2D) Sobolev equat... A reduced-order extrapolation algorithm based on Crank-Nicolson least-squares mixed finite element (CNLSMFE) formulation and proper orthogonal decomposition (POD) technique for two-dimensional (2D) Sobolev equations is established. The error estimates of the reduced-order CNLSMFE solutions and the implementation for the reduced-order extrapolation algorithm are provided. A numerical example is used to show that the results of numerical computations are consistent with theoretical conclusions. Moreover, it is shown that the reduced-order extrapolation algorithm is feasible and efficient for seeking numerical solutions to 2D Sobolev equations. 展开更多
关键词 Reduced-order extrapolation aigorithm Crank-Nicolson least*squares mixed finite element for-mulation proper orthogonal decomposition technique Sobolev equations.
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THE NORMAL FAMILITY OF MERMORPHIC FUNCTIONS 被引量:2
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作者 韩明华 顾永兴 《Acta Mathematica Scientia》 SCIE CSCD 2008年第4期759-762,共4页
Let F be a family of mermorphic functions in a domain D, and let a, b, c be complex numbers, a ≠ b. If for each f ∈ F, the zeros of f-c are of multiplicity ≥ k + 1, and -↑Ef(k)(a) belong to -↑Ef (a), -↑Ef... Let F be a family of mermorphic functions in a domain D, and let a, b, c be complex numbers, a ≠ b. If for each f ∈ F, the zeros of f-c are of multiplicity ≥ k + 1, and -↑Ef(k)(a) belong to -↑Ef (a), -↑Ef(k)(b)belong to -↑Ef (b), then F is normal in D. 展开更多
关键词 Mermorphic functions normal family shared values
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Synthesis of Mesoporous Chromium Aluminophosphate (CrAlPO) via Solid State Reaction at Low Temperature 被引量:2
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作者 刘少友 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2012年第2期337-345,共9页
Mesoporous chromium aluminophosphate (CrAIPO) was successfully synthesized via solid state reaction (SSR) route at low temperature in the presence of a cationic surfactant cetyltrimethyl ammonium bromide (CTAB) ... Mesoporous chromium aluminophosphate (CrAIPO) was successfully synthesized via solid state reaction (SSR) route at low temperature in the presence of a cationic surfactant cetyltrimethyl ammonium bromide (CTAB) and inorganic sources such as A1C13 · 6H20, CrCI3 · 6H20 and NaH2PO4 · 2H20. Characterizations by means of powder X-ray diffraction (XRD), N2 adsorption- desorption, high resolution transmission electron microscopy (HR-TEM), scanning electron micrography (SEM), energy dispersion spectroscopy (EDS), thermo-gravimetry (TG), Fourier transform infrared spectroscopy (FT-IR), and ultraviolet visible light spectroscopy (UV-Vis) were carried out to understand both the pore characteristics and electron transition route of these obtained materials. The experimental results show that the meso-CrA1PO materials with various Cr/A1 molar ratios possess a mesostructure and a specific surface area of 193 to 310 m2/g corresponding to an average pore size of 5.5 to 2.2 rim, respectively. The maxium content of Cr in meso-CrA1PO materials synthesized via SSR route can achieve 16.7wt%, being significantly higher than that of the meso-CrA1PO prepared via a conventional sol-gel route. Meanwhile, the formation mechanism of the meso-CrA1PO was also proposed. 展开更多
关键词 MESOPOROUS chromium aluminophosphate solid state reaction low temperature
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Competitive polycondensation of model compound melamine-urea-formaldehyed(MUF)resin system by^(13)C NMR 被引量:2
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作者 Jiankun Liang Quan Li +4 位作者 Zhigang Wu Guanben Du Taohong Li Hong Lei Lifen Li 《Journal of Bioresources and Bioproducts》 EI 2020年第1期60-66,共7页
Melamine-urea-formaldehyde(MUF)resin is an excellent adhesive in the field of wood adhe-sives,however the competition mechanism is questionable which affects the structure control and performance optimization of the r... Melamine-urea-formaldehyde(MUF)resin is an excellent adhesive in the field of wood adhe-sives,however the competition mechanism is questionable which affects the structure control and performance optimization of the resin.In this study,the competitive resin synthesis poly-condensation reaction of MUF system under alkaline condition was studied based on the model compound 1,3-dihydroxymethyl urea(UF_(2))and melamine(M)system,and the competitive reac-tion mechanism in the system was deduced by^(13)C NMR quantitative analysis.The results show that the energy barrier of hydroxymethylation of melamine is lower than that of urea,and the priority of hydroxymethylation is lower;the addition of melamine results in a large amount of hy-drolysis of UF_(2),and the formed free formaldehyde,resulting in hydroxymethylation of melamine;there is obvious polycondensation reaction in UF_(2)+M system,mainly from the relationship be-tween hydroxymethylurea and melamine or hydroxymethylmelamine.The type I bridge bond structure of polycondensation mainly comes from the reaction of UF_(2) and M,which is difficult to form the type II bridge bond.At low molar ratio,the formation of bridge bond is superior to that of ether bond.With the increase of molar ratio,the formation of ether bond shows advantages,but there is obvious competition between them.There may be competitive presence of the UF self-condensation products,melamine-formaldehyde(MF)self-condensation products and MUF co-condensed products after the polycondensation reaction. 展开更多
关键词 Model compound Melamine-urea-formaldehyde(MUF) COPOLYCONDENSATION COMPETITIVENESS
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A Kinematic Formula for Integral Invariant of Degree 4 in Real Space Form 被引量:1
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作者 De Shuo JIANG Jia Zu ZHOU Fang Wei CHEN 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2014年第8期1465-1476,共12页
In this paper,kinematic formulae in a real space form are investigated.A kinematic formula for homogeneous polynomial of degree 4 on the second fundamental forms in a real space form is obtained.The formula obtained i... In this paper,kinematic formulae in a real space form are investigated.A kinematic formula for homogeneous polynomial of degree 4 on the second fundamental forms in a real space form is obtained.The formula obtained is a concrete form of the result of Howard and the analogue of the known formula of Chen and Zhou. 展开更多
关键词 Kinematic formula homogeneous polynomial integral invariant real space form
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The Integration of Dual-domain Method for Estimating the Drift Function of Financial Assets
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作者 YE Xu-guo DU Xue-qiao 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第2期190-195,共6页
Time-domain state-domain methods are common approaches in modern financial analysis.Economic conditions vary time,drift function depends on time and price level for a given state variable.In this paper,to consistently... Time-domain state-domain methods are common approaches in modern financial analysis.Economic conditions vary time,drift function depends on time and price level for a given state variable.In this paper,to consistently estimate the bivariate drift function,our purpose a new dynamic integrated estimator by combing time-and state-domain methods for estimating drift function.And we establish its asymptotic properties and illustrates it outperforms some old ones by simulations. 展开更多
关键词 TIME-DOMAIN state-domain integrated estimator drift function
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Intra-breed Genetic Variation of Fragrance Pigs Detected by Microsatellite Markers
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作者 Shen Xuelin Duan Yongbang +2 位作者 Yao Shaokuan Zhang Qin Liu Peiqiong 《Animal Husbandry and Feed Science》 CAS 2015年第1期7-8,11,共3页
[Objective] The genetic background of four types of fragrance pigs was studied using microsatellite molecular markers,in order to fully understand the genetic resources of miniature pigs in China.[Method] Using 27 pai... [Objective] The genetic background of four types of fragrance pigs was studied using microsatellite molecular markers,in order to fully understand the genetic resources of miniature pigs in China.[Method] Using 27 pairs of microsatellite loci jointly recommended by Food and Agricultural Organization(FAO)and International Society for Animal Genetics(ISAG),we detected the genotypes of 200 fragrance individuals belonging to four types(Jiuyang fragrance pig,Jianbai fragrance pig,Congjiang fragrance pig and Huanjiang fragrance pig),and analyzed their Inter-and intra-breed genetic variations.[Result]The 23 loci detected in the test were high polymorphic;the mean heterozygosity(H) of Jiuyang fragrance pig,Jianbai fragrance pig,Congjiang fragrance pig and Huanjiang fragrance pig were 0.683 6,0.667 9,0.697 3 and 0.702 2,and their mean polymorphism information contents(PIC) were 0.6263,0.6063,0.6420 and 0.6415,respectively.[Conclusion]Four types of fragrance pigs detected in the test all had high intra-breed genetic variability. 展开更多
关键词 Fragrance pig Microsatellite markers Genetic diversity
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Genetic Relationship of Fragrance Pigs
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作者 Shen Xuelin Duan Yongbang +3 位作者 Yao Shaokuan Zhang Qin Liu Peiqiong Zhang Yun 《Animal Husbandry and Feed Science》 CAS 2014年第6期316-318,共3页
[ Objective] The paper was to study the genetic background of four unique types of fragrance pigs in China. [ Method ] Using 27 pairs of micmsatellite loci jointly recommended by Food and Agricultural Organization (... [ Objective] The paper was to study the genetic background of four unique types of fragrance pigs in China. [ Method ] Using 27 pairs of micmsatellite loci jointly recommended by Food and Agricultural Organization (FAO) and International Society for Animal Genetics (ISAG), we detected the genotypes of 200 fragrance individuals belonging to four types (Jiuyang fragrance pig, Jianbai fragrance pig, Cangjiang fragrance pig and Huangjiang fragrance pig), and analyzed their inter-and intra-breed genetic variations. Clustering analysis was also conducted using neighbor-joining (NJ) method and unweighted pair-group method with arithmetic mean (UPGMA). [ Result] The genetic relationship between Congiiang fragrance pig and Huangjiang fragrance pig was the closest, followed by the ge- netic relationship between Jiuyang fragrance pig and Jianbai fragrance pig; the genetic distance between Jianbai fragrance pig and Huangjiang fragrance pig was the farthest, which was consistent with their geographic distribution, ecological environment and body physical characteristics. Clustering resuhs showed that Jiuyang fragrance pig and Jianbai fragrance pig clustered into one class, while Congjiang fragrance pig and Huangjiang fragrance pig clustered into another class. [ Conclu- sion] The study laid the foundation for quantitative trait loci positioning of good genes of these breeds and implementation of genetic marker-assisted selection. 展开更多
关键词 Fragrance pig Microsatellite markers Genetic relationship Clustering analysis
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Relationship between Ham Quality and Body Weight of Fragrance Pig
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作者 Shen Xuelin Duan Yongbang +3 位作者 Zhu Qiujin He Chengyuan Yang Yuanpiao Pan Shihua 《Animal Husbandry and Feed Science》 CAS 2014年第3期131-132,共2页
[ Objective ] The paper was to determine the weight range of fragrance pigs suitable for processing small ham. [ Method ] In terms of differences in sensory state and physical and chemical indicators of hams produced ... [ Objective ] The paper was to determine the weight range of fragrance pigs suitable for processing small ham. [ Method ] In terms of differences in sensory state and physical and chemical indicators of hams produced by fragrance pigs with different weights, 29 fragrance pigs at five weight grades were chosen and processed in accordance with Chinese ham processing methods. The products were evaluated by sense, and their salt and moisture contents were also measured. [Result] The fragTance pigs less than 30 kg were not suitable for making Chinese ham, while the fragrance pigs weighed 32 -45 kg could be made into the ham with prominent flavor, beautiful appearance, good color, moderate taste, and suitable moisture content, of which the pigs weighed 40 -45 kg were the best materials for processing small ham. [ Conclusion] The study provided scientific basis for industrial development of fragrance pig. 展开更多
关键词 Fragrance pig Chinese ham Raw material SCREENING Food processing
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