General solutions of plane problem in one-dimensional quasicrystal piezoelectric materials and its application on fracture mechanics

Based on the fundamental equations of piezoelasticity of quasicrystals （QCs）, with the symmetry operations of point groups, the plane piezoelasticity theory of one- dimensional （1D） QCs with all point groups is investigated systematically. The gov- erning equations of the piezoelasticity problem for 1D QCs including monoclinic QCs, orthorhombic QCs, tetragonal QCs, and hexagonal QCs are deduced rigorously. The general solutions of the piezoelasticity problem for these QCs are derived by the opera- tor method and the complex variable function method. As an application, an antiplane crack problem is further considered by the semi-inverse method, and the closed-form so- lutions of the phonon, phason, and electric fields near the crack tip are obtained. The path-independent integral derived from the conservation integral equals the energy release rate.

Defensive Role of Plant Hormones in Advancing Abiotic Stress-Resistant Rice Plants

Consistent climatic perturbations have increased global environmental concerns, especially the impacts of abiotic stresses on crop productivity. Rice is a staple food crop for the majority of the world’s population. Abiotic stresses, including salt, drought, heat, cold and heavy metals, are potential inhibitors of rice growth and yield. Abiotic stresses elicit various acclimation responses that facilitate in stress mitigation. Plant hormones play an important role in mediating the growth and development of rice plants under optimal and stressful environments by activating a multitude of signalling cascades to elicit the rice plant’s adaptive responses. The current review describes the role of plant hormone-mediated abiotic stress tolerance in rice, potential crosstalk between plant hormones involved in rice abiotic stress tolerance and significant advancements in biotechnological initiatives including genetic engineering approach to provide a step forward in making rice resistance to abiotic stress.

Impacts of optimization strategies on performance,power/energy consumption of a GPU based parallel reduction

In the era of modern high performance computing, GPUs have been considered an excellent accelerator for general purpose data-intensive parallel applications. To achieve application speedup from GPUs, many of performance-oriented optimization techniques have been proposed. However, in order to satisfy the recent trend of power and energy consumptions, power/energy-aware optimization of GPUs needs to be investigated with detailed analysis in addition to the performance-oriented optimization. In this work, in order to explore the impact of various optimization strategies on GPU performance, power and energy consumptions, we evaluate performance and power/energy consumption of a well-known application running on different commercial GPU devices with the different optimization strategies. In particular, in order to see the more generalized performance and power consumption patterns of GPU based accelerations, our evaluations are performed with three different Nvdia GPU generations(Fermi, Kepler and Maxwell architectures), various core clock frequencies and memory clock frequencies. We analyze how a GPU kernel execution is affected by optimization and what GPU architectural factors have much impact on its performance and power/energy consumption. This paper also categorizes which optimization technique primarily improves which metric(i.e., performance, power or energy efficiency). Furthermore, voltage frequency scaling(VFS) is also applied to examine the effect of changing a clock frequency on these metrics. In general, our work shows that effective GPU optimization strategies can improve the application performance significantly without increasing power and energy consumption.

A Study on the Improvement of Mental Health Status of Teachers’ Occupational Stress and Chronic Anxiety under Aerobic Exercise Alternative Activities

The purpose of this study is to observe the occupational stress and chronic anxiety of college teachers and to carry out alternate activities of aerobic exercise to improve their mental health,the participants are 214 teachers from three universities in Yunnan Province,China.The results show that before the experiment,the overall situation of college teachers’occupational stress and chronic anxiety is at a high level,while after the experiment,the occupational stress and chronic anxiety of college teachers are significantly relieved.In terms of gender,male teachers have higher occupational stress and chronic anxiety than female teachers before the experiment,and both have a good alleviating effect after the experiment.In terms of length of teaching,teachers with teaching experience of 1–5 years before the experiment have the highest levels of occupational stress and chronic anxiety,followed by teachers with 6–10 years,and finally teachers with more than 10 years.After the experiment,the occupational stress and chronic anxiety of teachers in the three length of teaching groups are significantly reduced to the medium level.In terms of professional titles,the teachers with the titles of teaching assistant and lecturer before the experiment have higher occupational stress and chronic anxiety than those with the titles of associate professor and professor.After the experiment,both of them are significantly reduced to the medium level.Therefore,the impact of aerobic exercise alternate activities on college teachers has a positive improvement effect,which can effectively promote the mental health of college teachers and alleviate the negative situation at work.

Analysis of an Eco-Epidemiological Model Considering Effect of Harvesting and Prey Refuge

In this work, we analyze an eco-epidemiological model with the disease in the prey, considering a constant proportion of harvesting of either species or a prey refuge. The positive invariant set, the conditions of existence, and locally asymptotically stability of the equilibria are studied using the stability theory of ordinary differential equation. The global stability of border equilibria by constructing Lyapunov functions and permanence of the system by comparison theoremare proved. The numerical simulation further proved the correctness of the theoretical analysis. The result indicates that overfishing would lead to population extinction and a reasonable fishing strategy should keep the coexistence of populations.

Block-transitive 3-designs Associated with Alternating Groups

A t-(v,k,λ)design is said to be G-point-primitive or G-block-transitive,if its automorphism group G acts primitively on the point set or transitively on the block set,respectively.In this paper we begin by extending some results on block-transitive Steiner 2-designs to block-transitive 3-designs,and then based on these results,investigate the G-point-primitive block-transitive 3-(v,k,λ)designs for alternating or symmetric groups G.We prove that when n≥min{λ^(2),30}the point stabilizer in G must be of intransitive type,and specifically,when n≥30 there exists no nontrivial G-point-primitive block-transitive 3-(v,k,2)design.

光激发半导体的光谱学研究

在高强度光激发的Ge、GaAs和ZnSe中观察到电子-空穴等离子体.采用远红外磁光吸收和光致发光两种手段研究了等离子体的空间膨胀.将Ge的远红外磁光吸收谱中的一个低磁场峰指认为快速扩展的电子-空穴-等离子体中的空穴在价带间的跃迁,用磁场限制扩散模式解释了时间和空间分辨测量结果.半绝缘GaAs中电子-空穴-等离子体的膨胀与扩散常数有关,而扩散常数取决于激发强度,这就提示了膨胀是由于“声子风”(phonon wind)而引起的.在用MOVPE方法生长的ZnSe外延层中也观察到均匀的等离子体.用非-k选择定则能很好地拟合光致发光谱线型,多体效应引起的带隙收缩与在其它Ⅱ-Ⅵ族化合物中观察到的类似,并首次观察到ZnSe外延层中的电子回旋共振.

Brief Analysis on Jean Eyre's Characters

Charlotte Bronte creates a new woman image— Jean Eyre in Jean Eyre. Analyzing briefly Jean's characters makes us know why the characer has eternal vitality. The character of Jean Eyre is still of great practical significance.

Unilateral Global Bifurcation and One-Sign Solutions for Kirchhoff Type Problem inR^(N)

In this paper,we study the following Kirchhoff type problem:{-M(∫_(R^(N))|▽u|^(2)dx)△u=λa(x)f(u),x∈R^(N),u=0 as|x|→+∞.Unilateral global bifurcation result is established for this problem.As applications of the bifurcation result,we determine the intervals ofλfor the existence,nonexistence,and exact multiplicity of one-sign solutions for this problem.

A Class of Smoothing-regularization Methods to Mathematical Programs with Vanishing Constraints

this paper,we propose a class of smoothing-regularization methods for solving the mathematical programming with vanishing constraints.These methods include the smoothing-regularization method proposed by Kanzow et al.in[Comput.Optim.Appl.,2013,55(3):733-767]as a special case.Under the weaker conditions than the ones that have been used by Kanzow et al.in 2013,we prove that the Mangasarian-Fromovitz constraint qualification holds at the feasible points of smoothing-regularization problem.We also analyze that the convergence behavior of the proposed smoothing-regularization method under mild conditions,i.e.,any accumulation point of the stationary point sequence for the smoothing-regularization problem is a strong stationary point.Finally,numerical experiments are given to show the efficiency of the proposed methods.

Complex variable method for an anti-plane elliptical cavity of one-dimensional hexagonal piezoelectric quasicrystals

Based on the fundamental equations of piezoelasticity of quasicrystal media, using the symmetry operations of point groups, the linear piezoelasticity behavior of one-dimensional（1D）hexagonal quasicrystals is investigated and the piezoelasticity problem of 1D hexagonal quasicrystals is decomposed into two uncoupled problems, i.e., the classical plane elasticity problem of conventional hexagonal crystals and the phonon–phason-electric coupling elasticity problem of1 D hexagonal quasicrystals.The final governing equations are derived for the phonon–phasonelectric coupling anti-plane elasticity of 1D hexagonal quasicrystals.The complex variable method for an anti-plane elliptical cavity in 1D hexagonal piezoelectric quasicrystals is proposed and the exact solutions of complex potential functions, the stresses and displacements of the phonon and the phason fields, the electric displacements and the electric potential are obtained explicitly.Reducing the cavity into a crack, the explicit solutions in closed forms of electro–elastic fields,the field intensity factors and the energy release rate near the crack tip are derived.

Anti-plane problem of four edge cracks emanating from a square hole in piezoelectric solids

By constructing a new numerical conformal mapping and using the Stroh-type formulism, an anti-plane problem of four edge cracks emanating from a square hole in piezoelectric solids is investigated. The explicit expressions of the complex potential function, field intensity factors, energy release rates and mechanical strain energy release rate near the crack tip are obtained under the assumptions that the surfaces of the cracks and hole are electrically permeable and electrically impermeable. Numerical examples are presented to show the influences of the geometrical parameters of defects and applied mechanical/electrical loads on the energy release rate and mechanical strain energy release rate under two electrical boundary conditions.

Optimizing Human Capital for ESG Success: A Social Cognitive Theory Perspective on Multinational Corporations in China

Multinational corporations(MNCs)play a pivotal role in driving sustainable development by effectively implementing Environmental,Social,and Governance(ESG)strategies.This study adopts the lens of Social Cognitive Theory to analyze how MNCs operating in China can optimize human capital to enhance ESG outcomes.By exploring the interplay between individual cognition,organizational culture,and incentive mechanisms,the research establishes a human capital-driven framework for ESG implementation.Key findings emphasize the importance of cultivating ESG awareness among employees,fostering an ESG-centric organizational culture,and designing robust incentive structures to align individual behaviors with corporate sustainability goals.This comprehensive approach offers practical insights for MNCs striving to balance profitability with social responsibility and environmental stewardship in a rapidly evolving global landscape.

Some Simple Groups Which are Determined by Their Orders and Degree-Patterns

Let G be a finite group and Irr(G)the set of all irreducible complex characters of G.Let cd(G)be the set of all irreducible complex character degrees of G and denote byρ(G)the set of all primes which divide some character degree of G.The character-prime graphΓ(G)associated to G is a simple undirected graph whose vertex set isρ(G)and there is an edge between two distinct primes p and q if and only if the product p q divides some character degree of G.We show that the finite nonabelian simple groups A_(7),J_(1),J_(3),J_(4),L_(3)(3)and U_(3)(4)are uniquely determined by their degree-patterns and orders.

Methyl-salicylate:A surveillance system fortriggering immunity in neighboring plants

Plant behavioral actions have been one of the major topicsof research in plant biology and agriculture.These actionsfrom plants are determined by their instant structural andphysical reactions to the circumstances(Bouwmeester et al.,2019).Upon sensing abiotic factors such as salinity,flooding,high temperature,drought,plants make suitable changes intheir physiology and behavior to survive such harsh conditions.