Structure-preserving algorithms for guiding center dynamics based on the slow manifold of classical Pauli particle

The classical Pauli particle(CPP) serves as a slow manifold, substituting the conventional guiding center dynamics. Based on the CPP, we utilize the averaged vector field(AVF) method in the computations of drift orbits. Demonstrating significantly higher efficiency, this advanced method is capable of accomplishing the simulation in less than one-third of the time of directly computing the guiding center motion. In contrast to the CPP-based Boris algorithm, this approach inherits the advantages of the AVF method, yielding stable trajectories even achieved with a tenfold time step and reducing the energy error by two orders of magnitude. By comparing these two CPP algorithms with the traditional RK4 method, the numerical results indicate a remarkable performance in terms of both the computational efficiency and error elimination. Moreover, we verify the properties of slow manifold integrators and successfully observe the bounce on both sides of the limiting slow manifold with deliberately chosen perturbed initial conditions. To evaluate the practical value of the methods, we conduct simulations in non-axisymmetric perturbation magnetic fields as part of the experiments,demonstrating that our CPP-based AVF method can handle simulations under complex magnetic field configurations with high accuracy, which the CPP-based Boris algorithm lacks. Through numerical experiments, we demonstrate that the CPP can replace guiding center dynamics in using energy-preserving algorithms for computations, providing a new, efficient, as well as stable approach for applying structure-preserving algorithms in plasma simulations.

Tailoring Classical Conditioning Behavior in TiO_(2) Nanowires:ZnO QDs-Based Optoelectronic Memristors for Neuromorphic Hardware

Neuromorphic hardware equipped with associative learn-ing capabilities presents fascinating applications in the next generation of artificial intelligence.However,research into synaptic devices exhibiting complex associative learning behaviors is still nascent.Here,an optoelec-tronic memristor based on Ag/TiO_(2) Nanowires:ZnO Quantum dots/FTO was proposed and constructed to emulate the biological associative learning behaviors.Effective implementation of synaptic behaviors,including long and short-term plasticity,and learning-forgetting-relearning behaviors,were achieved in the device through the application of light and electrical stimuli.Leveraging the optoelectronic co-modulated characteristics,a simulation of neuromorphic computing was conducted,resulting in a handwriting digit recognition accuracy of 88.9%.Furthermore,a 3×7 memristor array was constructed,confirming its application in artificial visual memory.Most importantly,complex biological associative learning behaviors were emulated by mapping the light and electrical stimuli into conditioned and unconditioned stimuli,respectively.After training through associative pairs,reflexes could be triggered solely using light stimuli.Comprehen-sively,under specific optoelectronic signal applications,the four features of classical conditioning,namely acquisition,extinction,recovery,and generalization,were elegantly emulated.This work provides an optoelectronic memristor with associative behavior capabilities,offering a pathway for advancing brain-machine interfaces,autonomous robots,and machine self-learning in the future.

Classical Correlations vs Quantum Correlations—Similarities, Differences, Opportunities

Classical Correlations were founded in 1900 by Karl Pearson and have since been applied as a statistical tool in virtually all sciences. Quantum correlations go back to Albert Einstein et al. in 1935 and Erwin Schrödinger’s responses shortly after. In this paper, we contrast classical with quantum correlations. We find that classical correlations are weaker than quantum correlations in the CHSH framework. With respect to correlation matrices, the trace of classical correlation matrices is dissimilar to quantum density matrices. However, the off-diagonal terms have equivalent interpretations. We contrast classical dynamic (i.e., time evolving) stochastic correlation with dynamic quantum density matrices and find that the off-diagonal elements, while different in nature, have similar interpretations. So far, due to the laws of quantum physics, no classical correlations are applied to the quantum spectrum. However, conversely, quantum correlations are applied in classical environments such as quantum computing, cryptography, metrology, teleportation, medical imaging, laser technology, the quantum Internet and more.

Chinese Culture,Classical Philosophy,and the Cultivation of Life

This paper explores the intricate relationship between Chinese culture and the nation’s rise,emphasizing the indispensable role of cultural education in fostering a robust national spirit and civilization.Drawing from classical Chinese texts and contemporary philosophical insights,the study examines how cultural virtues and educational practices can lead to societal harmony,national rejuvenation,and global contributions.The analysis highlights the enduring relevance of Confucian principles and their potential to address modern challenges,advocating for a renewed focus on cultural education to achieve a prosperous and peaceful world.Additionally,it underscores the necessity of integrating traditional values with modern educational practices to create a holistic approach that fosters ethical leadership and global cooperation.

A multiplex real-time PCR assay for simultaneous detection of classical swine fever virus,African swine fever virus,and atypical porcine pestivirus

With the implementation of the C-strain vaccine,classical swine fever(CSF) has been under control in China,which is currently in a chronic atypical epidemic situation.African swine fever(ASF) emerged in China in 2018 and spread quickly across the country.It is presently occurring sporadically due to the lack of commercial vaccines and farmers’ increased awareness of biosafety.Atypical porcine pestivirus(APPV) was first detected in Guangdong Province,China,in 2016,which mainly harms piglets and has a local epidemic situation in southern China.These three diseases have similar clinical symptoms in pig herds,which cause considerable losses to the pig industry.They are difficult to be distinguished only by clinical diagnosis.Therefore,developing an early and accurate simultaneous detection and differential diagnosis of the diseases induced by these viruses is essential.In this study,three pairs of specific primers and Taq-man probes were designed from highly conserved genomic regions of CSFV(5’ UTR),African swine fever virus(ASFV)(B646L),and APPV(5’ UTR),followed by the optimization of reaction conditions to establish a multiplex real-time PCR detection assay.The results showed that the method did not cross-react with other swine pathogens(porcine circovirus type 2(PCV2),porcine reproductive and respiratory syndrome virus(PRRSV),foot-and-mouth disease virus(FMDV),pseudorabies virus(PRV),porcine parvovirus(PPV),and bovine viral diarrhea virus BVDV).The sensitivity results showed that CSFV,ASFV,and APPV could be detected as low as 1 copy μL–1;the repeatability results showed that the intra-assay and interassay coefficient of variation of ASFV,CSFV,and APPV was less than 1%.Twenty-two virus samples were detected by the multiplex real-time PCR,compared with national standard diagnostic and patented method assay for CSF(GB/T 27540–2011),ASF(GB/T 18648–2020),and APPV(CN108611442A),respectively.The sensitivity of this triple real-time PCR for CSFV,ASFV,and APPV was almost the same,and the compliance results were the same(100%).A total of 451 clinical samples were detected,and the results showed that the positive rates of CSFV,ASFV,and APPV were 0.22% (1/451),1.3%(6/451),and 0%(0/451),respectively.This assay provides a valuale tool for rapid detection and accurate diagnosis of CSFV,ASFV,and APPV.

GLOBAL CLASSICAL SOLUTIONS AND THE CLASSICAL LIMIT OF THE NON-RELATIVISTIC VLASOV-DARWIN SYSTEM WITH SMALL INITIAL DATA

We investigate the global classical solutions of the non-relativistic Vlasov-D arwin system with generalized variables(VDG)in three dimensions.We first prove the global existence and uniqueness for small initial data and derive the decay estimates of the Darwin potentials.Then,we show in this framework that the solutions converge in a pointwise sense to solutions of the classical Vlasov-Poisson system(VP)at the asymptotic rate of 1/c2 as the speed of light c tends to infinity for all time.Moreover,we obtain rigorously an asymptotic estimate of the difference between the two systems.

POSITIVE CLASSICAL SOLUTIONS OF DIRICHLET PROBLEM FOR THE STEADY RELATIVISTIC HEAT EQUATION

In this paper,for a bounded C2 domain,we prove the existence and uniqueness of positive classical solutions to the Dirichlet problem for the steady relativistic heat equation with a class of restricted positive C2 boundary data.We have a non-existence result,which is the justification for taking into account the restricted boundary data.There is a smooth positive boundary datum that precludes the existence of the positive classical solution.

Toward a sustainable growth path in Arab economies:an extension of classical growth model

Background/Objectives:Many economies are on the trajectory of alternative growth drivers other than conventional capital and labor.Access to credit facilities is a pertinent indicator of economic growth.In line with the United Nations Sustainable Development Goals(UNSDGs-8)agenda,the national goal for sustainable development for most economies and Arab economies is no exception.Therefore,the current study adopts a traditional growth model by exploring the relationship between gross domestic product(GDP)per capita,credit for private sectors,ratio of exports,real GDP,and per labor force participants for selected Arab economies annually from 2001 to 2020.Research design:This study leverages the Fourier Kwiatkowski–Phillips–Schmidt–Shin(KPSS)unit root test and second-generation panel econometrics as estimation techniques,such as Westerlund and Edgerton panel cointegration test,and the use of two estimators,namely the augmented mean group(AMG)and common correlated error mean group(CCEMG),to obtain robust results.Findings:Empirical findings from Westerlund and Edgerton panel cointegration tests validate the long-run equilibrium relationship among the outlined variables.Further empirical results indicate that the share of exports is negatively significant with economic growth in countries such as Kuwait,Lebanon,Tunisia,and Jordan.Additionally,savings and labor force participation have a positive relationship with economic growth in individual countries such as Algeria and Bahrain.As per the panel,there is no significant relationship between labor force participation and economic growth.This indicates that the skilled labor force enhanced economic growth.Conclusions:These findings come with inherent far-reaching policy suggestions for economies and panels.Further details on country-specific policy actions are presented in the concluding section.

Hints of the Photonic Nature of the Electromagnetic Fields in Classical Electrodynamics

Several recent publications show that the electromagnetic radiation generated by transmitting antennas satisfy the following universal conditions: The time domain radiation fields satisfy the condition A ≥ h/4π ⇒q ≥ e where A is the action of the radiation field, which is defined as the product of the radiated energy and the duration of the radiation, h is the Planck constant, e is the electronic charge and q is the charge associated with the radiating system. The frequency domain radiation fields satisfy the condition U ≥ hv ⇒q ≥ e where U is the energy radiated in a single burst of radiation of duration T/2 and v is the frequency of oscillation. The goal of this paper is to show that these conditions, which indeed are expressions of the photonic nature of the electromagnetic fields, are satisfied not only by the radiation fields generated by physical antennas but also by the radiation fields generated by accelerating or decelerating electric charges. The results presented here together with the results obtained in previous studies show that hints of the photonic nature of the electromagnetic radiation remain hidden in the field equations of classical electrodynamics, and they become apparent when the dimension of the radiating system is pushed to the extreme limits as allowed by nature.

Flavor Amidst Plainness:An Examination of the Subjectivity of the“People’s Films”From the Perspective of Classical Aesthetics

The“People’s Films,”when examined from the perspective of classical aesthetics,present a unique visual style that creates artistic conceptions through sparse filming and deliver a scenery-based ideology through background shots,contributing to the overall aesthetic taste dominated by plainness.Chinese national aesthetic tastes,distinguished by implicitness,symbolism,and ethereality,have the magical power to present charming conceptions via plain and simple scenes,thus endowing the“People’s Films”with natural,plain,and harmonious frames that are unique to China.Behind the silent and plain scenes are representations of personal cultivation and essential values cherished by the Chinese people,which are achieved via the momentary presence and entirety of scenes photographed in the films,delivering an internal transcendence of people’s consciousness.

Evaluation of the famous classic formula Sanhua decoction based on network pharmacology and multi-component quantitative analysis

Background:Sanhua decoction has significant effects in the treatment of stroke.The study of the Sanhua decoction material benchmark was carried out to analyze the value transfer relationship between the Chinese herbal pieces and the substance benchmark.Methods:Network pharmacology was employed to investigate the potential active components and molecular mechanisms of Sanhua decoction in the treatment of stroke.15 batches of Sanhua decoction lyophilized powder were prepared using traditional formulas and subjected to high-performance liquid chromatography analysis to generate fingerprints of the Sanhua decoction substance benchmarks.Then,a multi-component quantitative analysis method was established,allowing for the simultaneous determination of ten components,to study the transfer of quantity values between pieces and substance benchmarks.Results:60 active ingredients were screened from Sanhua decoction by network pharmacology,of which gallic acid,magnolol honokiol,physcion,and aloe-emodin may have a greater effect than other active components.63 key targets and 134 pathways were predicted as the potential mechanism of Sanhua decoction in treating stroke.The fingerprint similarity of the Sanhua decoction substance benchmarks was found to be good among the 15 batches,confirming the 19 common peaks.The content of the 10 components was basically consistent.The components’transfer rates were within 30%of their respective means.Conclusions:This study provided a comprehensive and reliable strategy for the quality evaluation of Sanhua decoction substance benchmarks and held significant importance in improving its application value.

A Study on Extracurricular Literary Classics Reading in High School English Based on Core Literacy

Reading teaching is the core content of high school English teaching,and extracurricular literary classics reading is a supplement to in-class reading,which can deepen students’understanding and memorization of English-related knowledge,and cultivate students’core literacy.This paper outlines the problems in high school English reading teaching,analyzes the significance of extracurricular literary classics reading in high school English,and explores the teaching strategies of extracurricular literary classics reading in high school English based on core literacy,with a view to providing valuable reference information for teachers.

Research on the Progress of Treating Gastroesophageal Reflux Disease with Modified Classic Traditional Chinese Medicine Prescription

Gastroesophageal reflux disease (GERD) is a high-incidence digestive system disease. Western medicine mainly uses drugs such as proton pump inhibitors to inhibit gastric acid secretion, but some patients are accompanied by symptoms such as non-acid reflux and gas reflux, which cannot effectively treat the disease. It is necessary to actively explore other treatment schemes. Traditional Chinese medicine (TCM) has a long history of research on gastroesophageal reflux disease, which emphasizes the treatment based on syndrome differentiation as a whole. Through the treatment of various and multi-component TCM prescriptions, the patient’s body condition can be adjusted, and the treatment effect on gastroesophageal reflux disease is reliable, which has obvious therapeutic advantages. To further clarify the treatment of gastroesophageal reflux disease, this study reviewed and analyzed the research progress of the treatment of liver disease with modified prescriptions, and the report is as follows.

Integration of Architecture and Rockery in Classical Gardens of Suzhou

With the pilings of rockeries,bridge trails,doors and windows,pavilions,towers,walls,halls and studios,corridors and courtyards as the research subject,illustrated with a large number of pictures,the relationship between architecture and rockery in classical gardens was elaborated.In classical gardens,their harmonious,complementary and positive aspect was emphasized,and their opposite,repulsive and passive aspect was restricted,and even the passiveness could be transferred into positivity,so as to make the beauty of architecture and the beauty of nature coexist,coming to the state that the artificiality and the nature blend into one whole.The research was to provide reference for the design and construction of modern gardens.

Analysis of Vertical Greening Landscaping in Suzhou Classical Gardens of China

Based on the survey of vertical greening plants in Suzhou classical gardens, the paper had introduced plants varieties for vertical greening in the gardens, and pointed out that it was one of the common techniques for vertical greening landscaping to make use of vine plants. It had also introduced 23 species of plants having been applied in vertical greening landscaping in Suzhou classical gardens, which belonged to 19 genera and 13 families. In terms of application form, it emphasized that white walls should be treated as papers and plants as paintings, shelves as pavilions and plants as shade, fences as supports and plants as decorations, rockeries as bones and plants as coats, banks as bases and plants as edges, columns as axes and plants as ornaments, bridges as surfaces and plants as points, and sloping fields as groves and plants as auxiliaries by taking vertical greening in Nets Garden, the Humble Administrator's Garden, Lingering Garden, the Garden of Pleasant, the Lion Forest Garden and Coupling Garden for example.

变色牙与Vitapan Classical比色板色标的色差分析

目的研究Vitapan Classical比色板是否能够有效地评价牙齿漂白的疗效。方法收集2009年2月—2014年7月接受Beyond冷光美白病例67例,用Vitapan Classical比色板评价疗效,计算不能在该比色板中找到对应色标的病例比例及能找到对应色标的变色牙与对应色标间的色差值。结果 64%(16/25)的四环素牙和28%(17/61)的氟斑牙不能找到对应色标,而全部黄牙均有对应色标,3组间差异均有统计学意义(P=0.000)。有色标对应的四环素牙与氟斑牙、四环素牙与黄牙间ΔL*、Δb*及ΔE的差异有统计学意义,氟斑牙与黄牙间这3项色度值的差异无统计学意义,3类变色牙间Δa*的差异无统计学意义。结论 Vitapan Classical比色板不能够有效地评价牙齿漂白的疗效,尤其不适用于四环素牙及氟斑牙,应对该评价方法加以改进。

Style Comparison between Chinese Classical Garden and Modern Landscape

Styles between Chinese classical gardens and modern landscapes were compared in this paper from the perspective of thought,functions,garden buildings,plant scenery and small garden ornaments.

Restorative Environmental Design in Light of Chinese Classical Gardens

This paper explored the embodiment of restorative environmental design in Chinese classical gardens,aiming to enhance the emphasis on traditional garden art and provide some reference for creation of modern garden landscape.

Summary of the Studies on Classical Chinese Folk Houses

Research fruits in classical Chinese folk houses since 1980s were summarized in this study from various perspectives,such as architectural structure,spatial layout,decoration,aesthetic value,regional features and historical attributes,meanwhile,the future study orientation in this field was also discussed.

Expression Forms of Spiritual Cultures in Classical Chinese Gardens

By studying close links between classical Chinese gardens and traditional Chinese cultures,it was stressed that spiritual characteristics pursued by classical Chinese gardens were inevitable components of their expression forms,which were also closely related to classical Chinese philosophy,social system and other cultural phenomena.Characteristics of classical Chinese gardens in terms of psychology were analyzed,and it was proposed that they had particular cultural connotations in the spiritual expression and appeal,that is,natural view of "human-nature oneness",etiquette culture of "coordinating with the nature by etiquette",seclusion view of "living in seclusion and pursuing a peaceful life".Concrete expressions of spiritual cultures in classical Chinese gardens were discussed,specifically,the expression of natural views was demonstrated as "respecting the nature,all creatures having its own course(Tao,way of evolution),adopting measures suiting local conditions,skillfully borrowing from other landscapes,simulating natural landscapes";as for the expression of seclusion view,it was demonstrated as the expression of seclusion cultures by inscriptions and steles,the expression of "seclusion" by implicit garden settings;etiquette and hierarchy of classical Chinese gardens were discussed from the perspective of private garden layout and residence construction.On this basis,spiritual world of ancient Chinese were further stu-died,mental patterns of Chinese were believed as the source of classical gardens,and what those hills,water,plants,architecture as well as their combinations expressed were spiritual pursuits of Chinese people.