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.

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.

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.

Comparative Analysis of Differences among Northern,Jiangnan,and Lingnan Classical Private Gardens Using Principal Component Cluster Method

This paper investigates the design essence of Chinese classical private gardens,integrating their design elements and fundamental principles.It systematically analyzes the unique characteristics and differences among classical private gardens in the Northern,Jiangnan,and Lingnan regions.The study examines nine classical private gardens from Northern China,Jiangnan,and Lingnan by utilizing the advanced tool of principal component cluster analysis.Based on literature analysis and field research,273 variables were selected for principal component analysis,from which four components with higher contribution rates were chosen for further study.Subsequently,we employed clustering analysis techniques to compare the differences among the three types of gardens.The results reveal that the first principal component effectively highlights the differences between Jiangnan and Lingnan private gardens.The second principal component serves as the key to defining the types of Northern private gardens and distinguishing them from the other two types,and the third principal component indicates that Lingnan private gardens can be categorized into two distinct types as well.

The Silent Curriculum:Classical Aesthetics as a Catalyst for Emotional and Social Skills in Higher Vocational Education

This study examines the integration of classical aesthetics into the silent curriculum of higher vocational education,emphasizing its potential to significantly enhance emotional and social skills.Incorporating aesthetic principles into education emphasizes the importance of nurturing emotional intelligence,creativity,and cultural awareness in students-skills that go beyond the classroom and are essential for their growth,adaptability,and future careers.It explores theoretical foundations and practical implementations and addresses challenges such as the need for specialized educator training,overcoming institutional resistance,and securing adequate resources.Advocating for empirical research and strategic cultural partnerships,the paper proposes a transformative approach to vocational education,aligning it with contemporary societal and labor market demands,and underscores the vital role of classical aesthetics in enriching vocational training and enhancing student outcomes.

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.

Reference-frame-independent quantum key distribution with two-way classical communication

The data post-processing scheme based on two-way classical communication(TWCC)can improve the tolerable bit error rate and extend the maximal transmission distance when used in a quantum key distribution(QKD)system.In this study,we apply the TWCC method to improve the performance of reference-frame-independent quantum key distribution(RFI-QKD),and analyze the influence of the TWCC method on the performance of decoy-state RFI-QKD in both asymptotic and non-asymptotic cases.Our numerical simulation results show that the TWCC method is able to extend the maximal transmission distance from 175 km to 198 km and improve the tolerable bit error rate from 10.48%to 16.75%.At the same time,the performance of RFI-QKD in terms of the secret key rate and maximum transmission distance are still greatly improved when statistical fluctuations are considered.We conclude that RFI-QKD with the TWCC method is of practical interest.

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.

Clinical research report on traditional Chinese patent medicines and traditional Chinese classic famous prescriptions(2022)

Objective:The paper is to comprehensively summarize and analyze the basic situation and methodological quality of clinical randomized controlled trials(RCTs)of traditional Chinese patent medicines and traditional Chinese classic famous prescriptions published in 2022,to provide evidence and reasonable suggestions for the advancement of clinical research and the formulation of policies and guidelines.Methods:The Evidence Database System of clinical evidence-based evaluation of traditional Chinese medicine was searched,and data from China National Knowledge Infrastructure(CNKI),PubMed,and other databases were supplemented.The search duration was from January 1,2022,to December 31,2022.RCTs of traditional Chinese patent medicines and traditional Chinese classic famous prescriptions were included as the source of clinical evidence,and published information,sample size,intervention,control measures,treatment course,methodological quality,and key link report were analyzed and evaluated.Results:A total of 1,464 RCTs of traditional Chinese patent medicines were included,which comprised 667 types of traditional Chinese patent medicines;“traditional Chinese patent medicines+Western medicine vs.Western medicine”was the most widely used intervention and control setting,involving 417 RCTs(28.48%).A total of 245 RCTs of traditional Chinese classic famous prescriptions were included,comprising 55 types of traditional Chinese classic famous prescriptions.“Decoction+conventional treatment vs.conventional treatment”was the most widely used intervention and control setting,with 87 RCTs(35.51%).Published RCTs on traditional Chinese patent medicines and traditional Chinese classic famous prescriptions were limited by the study design and implementation.Most“allocation concealment”and“blinding of patients and personnel”were rated as medium to high risk.There are insufficient reports on key research links such as experimental registration and ethical approval.Conclusions:The number of RCTs on traditional Chinese patent medicines has decreased in 2022,but there has been a slight improvement in the research quality and impact.There are relatively few studies on traditional Chinese classic famous prescriptions.Measures must be taken to improve clinical trial design,implementation,and reporting.Methodological experts should be invited to provide professional technical guidance on the trial design.In the research implementation process,attention should be paid to quality control,particularly the standardization of the randomized execution.

Guidance and Application of Chinese Classical Gardens in Modern Gardens

As a representative of Eastern gardens,Chinese classical gardens have always held an extremely important position in world gardens.They not only carry the profound cultural and ideological connotations of China,but also have great aesthetic achievements that are worth exploring.In the process of urbanization,the construction of urban gardens is also progressing rapidly with the development of the city,and modern gardens are reflected more.Gradually,people began to realize that the aesthetics of Chinese classical gardens can collide with the design concepts of modern gardens,in order to conform to the current development trend of the new era.This paper compares and analyzes the differences and connections between Chinese classical gardens and modern gardens from three aspects:gardening concepts,gardening elements,and gardening techniques.Combined with relevant cases,it studies the practical application of Chinese classical garden design techniques in modern gardens,and explores and promotes the art of Chinese classical garden design.

Relation and Relationships Between Folk Literature and Classical Literature:Taking Autochthony as a Case Study

According to current discipline classification,folk literature is usually categorized as an individual research field,distinguished from classical literature or classical canon,which leads to the fact that in current research,the study of folk literature is often separated from the study of classical texts,or even opposed to it.This paper intends to review the relations and relationships between the two and argues that,at least,in ancient Greek world of culture,there is a considerable intersection between folk literature and classical literature.In many cases,a myth appeared both in the two literary fields,and thus these two fields were often intertwined and in conversation.Taking Athenian autochthony as a case study,this paper shows that this myth not only appeared as a folk story in daily occasions such as symposium,architecture,and vase painting,but also entered classic texts such as the tragic works of the three great tragedians and even Plato’s philosophical works,becoming one part of“classical literature”.By examining the application of the myth in folk literature and classical literature,it can be seen that in ancient Greece,folk and classical literature not only communicated and borrowed from each other,but also formed a dialogue between the two,thus constructing a lively and living literary world.

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.

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.

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.

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.

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.

Philosophy and Philology:Two Approaches of Commentating the Shen Nong Ben Cao Jing(Shen Nong's Classic of the Materia Medica)in the Ming and Qing Dynasties

This paper tests the hypothesis that the commentary trend of the Shen Nong Ben Cao Jing(Shen Nong’s Classic of the Materia Medica)arises alongside the fashionable philology of the time,or the aversion against the Jin-Yuan medical philosophy.After surveying 12 major commentaries,it is concluded that the situation is more complicated than a simple assertion.The seemingly opposite philosophy and philology approaches have been used eclectically to innovate the understanding of ancient traditional Chinese medicine texts.

A Study of the Impact of the Dissemination of Ancient Chinese Primer Classic in the United States

Carrying the roots of Chinese civilization to its origins,the Chinese Primer classic has received considerable attention in the international community’s cultural diffusion.The spread of the Chinese Primer class studies in the United States,aided by missionaries such as E.C.Bridgeman,Samuel Wells Williams,and William Alexander Parsons Martin,sinologists such as Witter Bynner and David Hinton,has been characterized by unidirectionality,permeability,and pluralism.

Deep Learning Applied to Computational Mechanics:A Comprehensive Review,State of the Art,and the Classics

Three recent breakthroughs due to AI in arts and science serve as motivation:An award winning digital image,protein folding,fast matrix multiplication.Many recent developments in artificial neural networks,particularly deep learning(DL),applied and relevant to computational mechanics(solid,fluids,finite-element technology)are reviewed in detail.Both hybrid and pure machine learning(ML)methods are discussed.Hybrid methods combine traditional PDE discretizations with ML methods either(1)to help model complex nonlinear constitutive relations,(2)to nonlinearly reduce the model order for efficient simulation(turbulence),or(3)to accelerate the simulation by predicting certain components in the traditional integration methods.Here,methods(1)and(2)relied on Long-Short-Term Memory(LSTM)architecture,with method(3)relying on convolutional neural networks.Pure ML methods to solve(nonlinear)PDEs are represented by Physics-Informed Neural network(PINN)methods,which could be combined with attention mechanism to address discontinuous solutions.Both LSTM and attention architectures,together with modern and generalized classic optimizers to include stochasticity for DL networks,are extensively reviewed.Kernel machines,including Gaussian processes,are provided to sufficient depth for more advanced works such as shallow networks with infinite width.Not only addressing experts,readers are assumed familiar with computational mechanics,but not with DL,whose concepts and applications are built up from the basics,aiming at bringing first-time learners quickly to the forefront of research.History and limitations of AI are recounted and discussed,with particular attention at pointing out misstatements or misconceptions of the classics,even in well-known references.Positioning and pointing control of a large-deformable beam is given as an example.