Green's function and stability of a linear partial difference scheme

AbstractThis paper is concerned with a linear partial difference equation which arises from discretizing a heat and a first order wave equations. A Green's function for this equation is derived. Various representation theorems, monotonicity, and oscillatory properties of the Green's functions are obtained. Then by means of the representation theorems, we derive several stability criteria for arbitrary solutions of this equation

Permeability and seepage stability of coal-reject and clay mix

AbstractThis paper presents an experimental investigation into the permeability and seepage stability of the granular coal-reject mixed with clay, which is affected by clay content, axial pressure, and the use of geotextile. Laboratory seepage tests were performed to determine the coefficients of permeability under both Darcy’s and non-Darcy’s flow conditions. The critical hydraulic gradients of coal-reject with different percentages of clay, axial pressures and geotextile were also tested. The results indicate that the coefficients of permeability, k, and global permeability, K, decrease while the critical hydraulic gradient increases with increasing clay content and axial pressure. The permeability and the critical hydraulic gradient start their radical changes when the clay content exceeds 10% of the total dry weight of the sample. The placing of a layer of geotextile on the bottom of specimen can decrease the permeability and significantly improve the seepage stability of the coal-reject and clay mixture

THE GLOBAL VALUE CHAIN AND CHINA AUTOMOTIVE INDUSTRY UPGRADING STRATEGY

The automotive industry is often thought of as one of the most global of all industries. In the globalization era, cost competitiveness alone will not be sufficient to guarantee further success. The China’s Local Industrial Clusters（LICs）faced a serious challenge between the top-down (global) and bottom-up (local) governance pressures. This paper uses the Global Value Chain(GVC) framework analysis to explain China Automotive Industry industry’s development stage, position of the GVC, demonstrate that the relationships with these global actors and upgrading opportunities of China Automotive Industry. Key words: Global Value Chain, Automotive Industry, Upgrading Strateg

{6,6′-Dimeth­oxy-2,2′-[ethane-1,2-diylbis(nitrilo­methyl­idyne)]diphenolato-1κ4 O 1,O 1′,O 6,O 6′:2κ4 O 1,N,N′,O 1′}(ethanol-1κO)-μ-nitrato-1:2κ2 O:O′-dinitrato-1κ4 O,O′-samarium(III)zinc(II)

In the title heteronuclear ZnII–SmIII complex, [SmZn(C18H18N2O4)(NO3)3(CH3CH2OH)], with the hexa­dentate Schiff base compartmental ligand N,N′-bis­(3-methoxy­salicyl­idene)ethyl­enediamine (H2 L), the SmIII and ZnII ions are triply bridged by two phenolate O atoms from the Schiff base ligand and one nitrate anion. The five-coordinate ZnII ion is in a square-pyramidal geometry formed by the donor centers of two imine N atoms, two phenolate O atoms and one of the bridging nitrate O atoms. The SmIII center is in a ten-fold coordination of O atoms, involving the phenolate O atoms, two meth­oxy O atoms, one ethanol O atom, and two O atoms from two nitrate anions and one from the bridging nitrate anion. In the crystal, inter­molecular O—H⋯O and C—H⋯O inter­actions generate a layer structure extending parallel to (101)

Numerical simulation of high-speed water-entry for hemispherical-nosed projectile

Aiming at the lack research of high-speed water-entry for large projectile, this paper studied the high-speed water-entry for hemispherical-nosed projectile in the method of fluid-solid coupling. Good agreements were obtained compared with the theoretical results. The modalities of water were calculated such as cavity, uplift and pressure. The velocity and deceleration curves of water-entry were gained. Numerical research shows that there is heavy shock pressure on the projectile and pressure waves in water by a projectile impacting into water at high speed, the pressure at the apex and the vicinity is much higher than the rest of area. The projectile’s peak acceleration is in linear correlation with the square of impact velocity. The simulation affords bases for impact-resistant design of the airdropped projectile, and of certain value to investigation of other correlative bodies’ high-speed water-entry

PointHuman: Reconstructing Clothed Human from Point Cloud of Parametric Model

It is very difficult to accomplish the 3D reconstruction of the clothed human body from a single RGB image, because the 2D image lacks the representation information of the 3D human body, especially for the clothed human body. In order to solve this problem, we introduced a priority scheme of different body parts spatial information and proposed PointHuman network. PointHuman combines the spatial feature of the parametric model of the human body with the implicit functions without expressive restrictions. In PointHuman reconstruction framework, we use Point Transformer to extract the semantic spatial feature of the parametric model of the human body to regularize the implicit function of the neural network, which extends the generalization ability of the neural network to complex human poses and various styles of clothing. Moreover, considering the ambiguity of depth information, we estimate the depth of the parameterized model after point cloudization, and obtain an offset depth value. The offset depth value improves the consistency between the parameterized model and the neural implicit function, and accuracy of human reconstruction models. Finally, we optimize the restoration of the parametric model from a single image, and propose a depth perception method. This method further improves the estimation accuracy of the parametric model and finally improves the effectiveness of human reconstruction. Our method achieves competitive performance on the THuman dataset

Domain-adapted driving scene understanding with uncertainty-aware and diversified generative adversarial networks

Funding Information: This work was supported by Fisheries Innovation & Sustainability (FIS) and the U.K. Department for Environment, Food & Rural Affairs (DEFRA) under grant number FIS039 and FIS045A.Peer reviewedPublisher PD

{μ-6,6′-Dimeth­oxy-2,2′-[ethane-1,2-diylbis(nitrilo­methyl­idyne)]diphenolato}-μ-nitrato-dinitratoeuropium(III)zinc(II)

In the title heteronuclear ZnII–EuIII complex [systematic name: {6,6′-dimeth­oxy-2,2′-[ethane-1,2-diylbis(nitrilo­methyl­idyne)]diphenolato-κ4 O 1,O 1′,O 6,O 6′:2κ4 O 1,N,N′,O 1′}-μ-nitrato-1:2κ2 O:O′-dini­trato-1κ4 O,O′-europium(III)zinc(II)], [EuZn(C18H18N2O4)(NO3)3], with the hexa­dentate Schiff base compartmental ligand N,N′-bis­(3-methoxy­salicyl­idene)ethyl­enediamine (H2 L), the Eu and Zn atoms are triply bridged by two phenolate O atoms of the Schiff base ligand and one nitrate ion. The five-coordinate Zn atom is in a square-pyramidal geometry with the donor centers of two imine N atoms, two phenolate O atoms and one of the bridging nitrate O atoms. The EuIII center has a ninefold coordination environment of O atoms, involving the phenol­ate O atoms, two meth­oxy O atoms, two O atoms from two nitrate ions and one from the bridging nitrate ion. Weak inter­molecular C—H⋯O inter­actions generate a two-dimensional double-layer structure

Investigating Neural Substrates of Individual Independence and Interdependence Orientations via Efficiency-based Dynamic Functional Connectivity : A Machine Learning Approach

Fundings: Beihang University and Capital Medical University Advanced Innovation Center for Big DataBased Precision Medicine Plan; 10.13039/501100001809-National Natural Science Foundation of China; 10.13039/501100000275-Leverhulme Trust;Peer reviewedPostprin

Study on the high-speed water impact load of hemispherical-nosed heavy projectiles

Aiming at the characteristics of high speed water entry of heavy projectiles, this article studied the high-speed water impact load of heavy projectiles by the multi-material ALE method, good agreements were obtained compared with the empirical formula, then analyzed the two parameters of impact velocity and the projectile’s mass which will affect the impact load when changed. Numerical simulation results are as follows: under vertical water entry condition, the acceleration of the projectile is roughly proportional to the square of the impact velocity and inversely proportional to the projectile’s mass during water impact