The anomalous dimensions of the quantum fields are the Hausdorff dimensiongrad. The present candidate of the renormalization constant is the generalized Cantor discontinuum. The Hausdorff dimensiongrad of the Minkowsk...The anomalous dimensions of the quantum fields are the Hausdorff dimensiongrad. The present candidate of the renormalization constant is the generalized Cantor discontinuum. The Hausdorff dimensiongrad of the Minkowski space time is based upon the point set with σ-length on light cone.展开更多
Based on the data of resources,environment and foundation of productio n,applying principal compo-nents-clustering quantitative analysis,this article divides the maritime space of Changshan Islands into three regions ...Based on the data of resources,environment and foundation of productio n,applying principal compo-nents-clustering quantitative analysis,this article divides the maritime space of Changshan Islands into three regions of agricultural-pasturalization,pr oviding a scientific basis for the ra tional distribution of marine culti vation.The three re-gions are as follows:1)The region of an agricultural-pastu ralization in the northern part of ma ritime space.It includes Da Wangjia and Shicheng islands.The ma in production is cultivation of praw n and molluscs in sea beach,float raft culture of mussel in shallow sea and scallop,and breeding of sea cucumber in subma rine.2)The region of agricultur-al-pasturalization in the middle we stern part of maritime space.It includes Da Changshan and Guanglu island s,and west-ern part of Xiao Chengshan Island.The main production is float raft cultu re of mussel and scallop in shallow se a,and breed-ing of sea cucumber in submarine.3)The region of agricultural-pastura lization of the southeastern part of maritime space.It includes the eastern part of Xiao ChangShan Island,Haiyang and Zhangzi islands.The main production is bre eding of abalone,sea cucumber,algaes and fish.展开更多
Suppose f is a spirallike function of type β and order α on the unit disk D. Let Ωn,p1,p2,···,pn = {z = (z1,z2,··· ,zn) ∈ Cn : n: n j=1 |zj|pj < 1}, where 1 ≤ p1 ≤ 2,pj ≥1,j = 2...Suppose f is a spirallike function of type β and order α on the unit disk D. Let Ωn,p1,p2,···,pn = {z = (z1,z2,··· ,zn) ∈ Cn : n: n j=1 |zj|pj < 1}, where 1 ≤ p1 ≤ 2,pj ≥1,j = 2,··· ,n, are real numbers. In this paper, we will prove that Φn,β2,γ2,···,βn,γn(f)(z) =(f(z1),(f(zz11 ))β2(f (z1))γ2z2,··· ,(f(zz11 ))βn(f (z1))γnzn) preserves spirallikeness of type βand order α on Ωn,p1,p2,···,pn.展开更多
A Fourier spectral method for the generalized Korteweg-de Vries equation with periodic boundary conditions is analyzed, and a corresponding optimal error estimate in L^2-norm is obtained. It improves the result presen...A Fourier spectral method for the generalized Korteweg-de Vries equation with periodic boundary conditions is analyzed, and a corresponding optimal error estimate in L^2-norm is obtained. It improves the result presented by Maday and Quarteroni. A modified Fourier pseudospectral method is also presented, with the same convergence properties as the Fourier spectral method.展开更多
This document presents a study of the behaviour of a pavement structure on compressible soil and the evaluation of its durability. The objective of this study is to highlight the impact of taking into account the non-...This document presents a study of the behaviour of a pavement structure on compressible soil and the evaluation of its durability. The objective of this study is to highlight the impact of taking into account the non-linear elastic behaviour of soils and granular materials in the design process. To this end, a numerical modelling of the pavement of the beau-rivage-Djassin crossroads section in Porto-Novo was carried out, based on a compressible soil whose behaviour will be considered elastoplastic. The subgrade soil on the section is made up of several sub-layers. The layer of soft, highly plastic clay was modelled according to a modified Cam Clay behaviour, a model of swelling clay soils. The fine sand layer and the granular layers of the structure are modelled according to Mohr-Coulomb behaviour. The loading is considered to be uniformly distributed according to the assumptions of the Burmister model in the French standard. A first verification with ALIZE allowed to validate the structure on the basis of the rutting deformation at the head of the platform ε<sub>z</sub> = 359.6*10<sup>-6</sup> which remains lower than the admissible deformation ε<sub>z</sub><sub>,adm</sub> = 360*10<sup>-6</sup>. The numerical calculation was carried out using the finite element method, the code of which is implemented under the PLAXIS v21 software. A comparative study with the results of the ALIZE design revealed that the numerically calculated strains ε<sub>z</sub> = 585*10<sup>-6</sup> are higher than those of ALIZE. These numerical strains, which are higher than the elastic strains, do not meet the validation criteria that the strains under loading must remain below the allowable strains. An evaluation of the pavement durability was carried out and it was found that the pavement would only last under traffic for 3 years before the first fatigue deformations appeared.展开更多
文摘The anomalous dimensions of the quantum fields are the Hausdorff dimensiongrad. The present candidate of the renormalization constant is the generalized Cantor discontinuum. The Hausdorff dimensiongrad of the Minkowski space time is based upon the point set with σ-length on light cone.
文摘Based on the data of resources,environment and foundation of productio n,applying principal compo-nents-clustering quantitative analysis,this article divides the maritime space of Changshan Islands into three regions of agricultural-pasturalization,pr oviding a scientific basis for the ra tional distribution of marine culti vation.The three re-gions are as follows:1)The region of an agricultural-pastu ralization in the northern part of ma ritime space.It includes Da Wangjia and Shicheng islands.The ma in production is cultivation of praw n and molluscs in sea beach,float raft culture of mussel in shallow sea and scallop,and breeding of sea cucumber in subma rine.2)The region of agricultur-al-pasturalization in the middle we stern part of maritime space.It includes Da Changshan and Guanglu island s,and west-ern part of Xiao Chengshan Island.The main production is float raft cultu re of mussel and scallop in shallow se a,and breed-ing of sea cucumber in submarine.3)The region of agricultural-pastura lization of the southeastern part of maritime space.It includes the eastern part of Xiao ChangShan Island,Haiyang and Zhangzi islands.The main production is bre eding of abalone,sea cucumber,algaes and fish.
基金Supported by the National Natural Science Foundation of China（10626015, 10571044） Supported by Guangdong Natural Science Foundation（06301315） Supported by the doctoral foundation of Zhanjiang Normal University（Z0420）
文摘Suppose f is a spirallike function of type β and order α on the unit disk D. Let Ωn,p1,p2,···,pn = {z = (z1,z2,··· ,zn) ∈ Cn : n: n j=1 |zj|pj < 1}, where 1 ≤ p1 ≤ 2,pj ≥1,j = 2,··· ,n, are real numbers. In this paper, we will prove that Φn,β2,γ2,···,βn,γn(f)(z) =(f(z1),(f(zz11 ))β2(f (z1))γ2z2,··· ,(f(zz11 ))βn(f (z1))γnzn) preserves spirallikeness of type βand order α on Ωn,p1,p2,···,pn.
基金Project supported by the National Natural Science Foundation of China (No. 60874039)Shanghai Leading Academic Discipline Project (No. J50101)
文摘A Fourier spectral method for the generalized Korteweg-de Vries equation with periodic boundary conditions is analyzed, and a corresponding optimal error estimate in L^2-norm is obtained. It improves the result presented by Maday and Quarteroni. A modified Fourier pseudospectral method is also presented, with the same convergence properties as the Fourier spectral method.
文摘This document presents a study of the behaviour of a pavement structure on compressible soil and the evaluation of its durability. The objective of this study is to highlight the impact of taking into account the non-linear elastic behaviour of soils and granular materials in the design process. To this end, a numerical modelling of the pavement of the beau-rivage-Djassin crossroads section in Porto-Novo was carried out, based on a compressible soil whose behaviour will be considered elastoplastic. The subgrade soil on the section is made up of several sub-layers. The layer of soft, highly plastic clay was modelled according to a modified Cam Clay behaviour, a model of swelling clay soils. The fine sand layer and the granular layers of the structure are modelled according to Mohr-Coulomb behaviour. The loading is considered to be uniformly distributed according to the assumptions of the Burmister model in the French standard. A first verification with ALIZE allowed to validate the structure on the basis of the rutting deformation at the head of the platform ε<sub>z</sub> = 359.6*10<sup>-6</sup> which remains lower than the admissible deformation ε<sub>z</sub><sub>,adm</sub> = 360*10<sup>-6</sup>. The numerical calculation was carried out using the finite element method, the code of which is implemented under the PLAXIS v21 software. A comparative study with the results of the ALIZE design revealed that the numerically calculated strains ε<sub>z</sub> = 585*10<sup>-6</sup> are higher than those of ALIZE. These numerical strains, which are higher than the elastic strains, do not meet the validation criteria that the strains under loading must remain below the allowable strains. An evaluation of the pavement durability was carried out and it was found that the pavement would only last under traffic for 3 years before the first fatigue deformations appeared.
