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Journal of Applied Mathematics and Physics 2024年第6期12卷 2302-2319页

作者： ralph w. lai Melisa w. lai-Becker Grace Cheng-Dodge 28 Cornerstone Ct. Doylestown PA USA Harvard Medical School Cambridge MA USA Independent Education Consultants West Hartford CT USA

In this study, w. explore the application of ACP (asymptotic curve based and proportionality oriented) Alpha Beta (αβ) Nonlinear Math to analyze arithmetic and radiation transmission data. Specifically, w. investigate the relationship betw.en tw. variables. The novel approach involves collecting elementary “y” data and subsequently analyzing the asymptotic cumulative or demulative (opposite of cumulative) Y data. In part I, w. examine the connection betw.en the common linear numbers and ideal nonlinear numbers. In part II, w. delve into the relationship betw.en X-ray energy and the radiation transmission for various thin film materials. The fundamental physical law.asserts that the nonlinear change in continuous variable Y is negatively proportional to the nonlinear change in continuous variable X, expressed mathematically as dα = −Kdβ. Here: dα {Y, Yu, Yb} represents the change in Y, w.th Yu and Yb denoting the upper and baseline asymptote of Y. dβ {X, Xu, Xb} represents the change in X, w.th Xu and Xb denoting the upper and baseline asymptote of X. K represents the proportionality constant or rate constant, w.ich varies based on equation arrangement. K is the key inferential factor for describing physical phenomena.

关键词： Asymptotic Concave and Convex Curve Upper and Baseline Asymptote Demulative vs. Cumulative Coefficient of Determination Proportionalityand Position Constant Skew.d Bell and Sigmoid Curve

Zeno’s Paradoxes and Lie Tzu’s Dichotomic w.sdom Explained w.th Alpha Beta (αβ) Asymptotic Nonlinear Math (Including One Example on Second Order Nonlinear Phenomena)

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Journal of Applied Mathematics and Physics 2023年第5期11卷 1209-1249页

作者： ralph w. lai Melisa w. lai-Becker Evgenios Agathokleous 28 Cornerstone Ct. Doylestown PA USA Harvard Medical School Cambridge MA USA Department of Ecology School of Applied Meteorology Nanjing University of Information Science and Technology Nanjing China

Zeno’s paradoxes are a set of philosophical problems that w.re first introduced by the ancient Greek philosopher Zeno of Elea. Here is the first attempt to use asymptotic approach and nonlinear concepts to address the paradoxes. Among the paradoxes, tw. of the most famous ones are Zeno’s Room w.lk and Zeno’s Achilles. Lie Tsu’s pole halving dichotomy is also discussed in relation to these paradoxes. These paradoxes are first-order nonlinear phenomena, and w. expressed them w.th the concepts of linear and nonlinear variables. In the new.nonlinear concepts, variables are classified as either linear or nonlinear. Changes in linear variables are simple changes, w.ile changes in nonlinear variables are nonlinear changes relative to their asymptotes. Continuous asymptotic curves are used to describe and derive the equations for expressing the relationship betw.en tw. variables. For example, in Zeno’s Room w.lk, the equations and curves for a person to w.lk from the initial w.ll tow.rds the other w.ll are different from the equations and curves for a person to w.lk from the other w.ll tow.rds the initial w.ll. One w.lk has a convex asymptotic curve w.th a nonlinear equation having tw. asymptotes, w.ile the other w.lk has a concave asymptotic curve w.th a nonlinear equation having a finite starting number and a bottom asymptote. Interestingly, they have the same straight-line expression in a proportionality graph. The Appendix of this discussion includes an example of a second-order nonlinear phenomenon. .

关键词： Dichotomy Asymptotic Concave and Convex Curve Upper and Bottom As-ymptote Cumulative and Demulative Numbers (Opposite to Cumulative Numbers) Coefficient of Determination Skew.d Bell Sigmoid Curve

Pow.r Flow.Analytical Solutions and Multi-dimensional Voltage Stability Boundaries Based on Multivariate Quotient-difference Method

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CSEE Journal of Pow.r and Energy Systems 2024年第3期10卷 1168-1178页

作者： Chengxi Liu Qiupin lai School of Electrical Engineering and Automation Wuhan UniversityWuhan 430072China Hubei Engineering and Technology Research Center for AC/DC Intelligent Distribution Netw.rk Wuhan 430072China IEEE

This paper proposes a novel Multivariate Quotient-Difference(MQD)method to obtain the approximate analytical solution for AC pow.r flow.***,in the online environment,the pow.r flow.solutions covering different operating conditions can be directly obtained by plugging values into multiple symbolic variables,such that the pow.r injections and consumptions of selected buses or areas can be independently *** method first derives a pow.r flow.solution through a Multivariate Pow.r Series(MPS).Next,the MQD method is applied to transform the obtained MPS to a Multivariate Pad´e Approximants(MPA)to expand the Radius of Convergence(ROC),so that the accuracy of the derived analytical solution can be significantly *** addition,the hypersurface of the voltage stability boundary can be identified by an analytical formula obtained from the coefficients of *** direct method for pow.r flow.solutions and voltage stability boundaries is fast for many online applications,since such analytical solutions can be derived offline and evaluated online by only plugging values into the symbolic variables according to the actual operating *** proposed method is validated in detail on New.England 39-bus and IEEE 118-bus systems w.th independent load variations in multi-regions.

关键词： Analytical pow.r flow.solution multivariate pow.r series multivariate Padéapproximants multivariate quotient-difference multi-dimensional voltage stability boundary

Preface to the Special Issue:Additive Manufacturing—Expanding Production Horizon

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Acta Metallurgica Sinica(English Letters) 2024年第1期37卷 1-2页

作者： lai-Chang Zhang Centre for Advanced Materials and Manufacturing School of EngineeringEdith Cowan University270 Joondalup DriveJoondalupPerthWA6027Australia

Additive manufacturing(AM),commonly know. as 3D printing,has become a transformative technology that has a profound impact on various industrial *** encompasses a set of techniques for building objects layer by layer from digital *** conventional subtractive manufacturing methods that involve removing material from large blocks,AM adds material incrementally,providing unprecedented design flexibility and efficiency.

关键词： removing printing Expanding

Remote sensing image encryption algorithm utilizing 2D Logistic memristive hyperchaotic map and SHA-512

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Science China(Technological Sciences) 2024年第5期67卷 1553-1566页

作者： lai Qiang LIU Yuan YANG Liang School of Electrical and Automation Engineering East China Jiaotong UniversityNanchang330013China

The tw.-dimensional Logistic memristive hyperchaotic map(2D-LMHM)and the secure hash SHA-512 are the foundations of the unique remote sensing image encryption algorithm(RS-IEA)suggested in this *** proposed map is formed from the improved Logistic map and the memristor,w.ich has w.de phase space and hyperchaotic range and is exceptionally excellent to be utilized in specific *** proposed image algorithm uses the permutation-assignment-diffusion *** generates tw. position matrices in a progressive manner to achieve an efficient random exchange of pixel positions,assignment is carried through on the image pixels of the permutated image to entirely remove the original image information,strengthening the relationship betw.en permutation and diffusion,and loop diffusion in tw. different directions can use subtle changes of pixels to affect the w.ole *** random key and plain-image SHA-512 hash values are used to produce an additional key,w.ich is then utilized to figure out the permutation parameters and the initial value of a chaotic *** experimental results w.th the average NPCR=99.6094%(NPCR:number of pixels change rate),average UACI=33.4638%(UACI:unified average changing intensity),100%pass rate of the targets in the test set,the average correlation coefficient is 0.00075,and the local information entropy is 7.9025,w.ich show. that the algorithm is able to defend against a variety of illegal attacks and provide more trustw.rthy protection than some of the existing state-of-the-art algorithms.

关键词： chaos memristive hyperchaotic map remote sensing SHA-512 image encryption RS-IEA

Mechanical Performance of Bio-inspired Bidirectional Corrugated Sandw.ch Pressure Shell Under External Hydrostatic Pressure

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China Ocean Engineering 2024年第2期38卷 297-312页

作者： ZHANG Yi CHEN Yue YUN lai LIANG Xu Ocean College Zhejiang UniversityZhoushan 316000China Hainan Institute Zhejiang UniversitySanya 572000China

This paper aims to enhance the compression capacity of underw.ter cylindrical shells by adopting the corrugated sandw.ch structure of *** cuttlebone suffers uniaxial external compression,w.ile underw.ter cylindrical shells are in a biaxial compressive stress *** suit the biaxial compressive stress state,a novel bidirectional corrugated sandw.ch structure is proposed to improve the bearing capacity of cylindrical *** static and buckling analysis for the sandw.ch shell and the unstiffened cylindrical shell w.th the same volume-w.ight ratio are studied by numerical *** is indicated that the proposed sandw.ch shell can effectively reduce the ratio betw.en circumferential and axial stress from 2 to 1.25 and improve the critical buckling load by about 1.63 *** simulation show. that optimizing and adjusting the structural parameters could significantly improve the advantage of the sandw.ch ***,the hydrostatic pressure tests for shell models fabricated by 3D printing are carried *** to the experimental results,the overall failure position of the sandw.ch shell is at the center part of the sandw.ch *** has been found the average critical load of the proposed sandw.ch shell models exceeds tw. times that of the unstiffened shell ***,the proposed bio-inspired bidirectional corrugated sandw.ch structure can significantly enhance the pressure resistance capability of cylindrical shells.

关键词： bio-inspiration bidirectional corrugation sandw.ch shell external pressure buckling

Recorded recurrent deep reinforcement learning guidance law. for intercepting endoatmospheric maneuvering missiles

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Defence Technology（防务技术） 2024年第1期31卷 457-470页

作者： Xiaoqi Qiu Peng lai Changsheng Gao w.xing Jing Department of Aerospace Engineering Harbin Institute of TechnologyHarbin150001China Shanghai Electro-Mechanical Engineering Institute Shanghai Academy of Spaceflight TechnologyShanghai201100China

This w.rk proposes a recorded recurrent tw.n delayed deep deterministic(RRTD3)policy gradient algorithm to solve the challenge of constructing guidance law. for intercepting endoatmospheric maneuvering missiles w.th uncertainties and observation *** attack-defense engagement scenario is modeled as a partially observable Markov decision process(POMDP).Given the benefits of recurrent neural netw.rks(RNNs)in processing sequence information,an RNN layer is incorporated into the agent’s policy netw.rk to alleviate the bottleneck of traditional deep reinforcement learning methods w.ile dealing w.th *** measurements from the interceptor’s seeker during each guidance cycle are combined into one sequence as the input to the policy netw.rk since the detection frequency of an interceptor is usually higher than its guidance *** training,the hidden states of the RNN layer in the policy netw.rk are recorded to overcome the partially observable problem that this RNN layer causes inside the *** training curves show.that the proposed RRTD3 successfully enhances data efficiency,training speed,and training *** test results confirm the advantages of the RRTD3-based guidance law. over some conventional guidance law..

关键词： Endoatmospheric interception Missile guidance Reinforcement learning Markov decision process Recurrent neural netw.rks

A review.of medical ocular image segmentation

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虚拟现实与智能硬件（中英文） 2024年第3期6卷 181-202页

作者： lai w.I Menghan HU Shanghai Key Laboratory of Multidimensional Information Processing East China Normal UniversityShanghai 200241China

Deep learning has been extensively applied to medical image segmentation,resulting in significant advancements in the field of deep neural netw.rks for medical image segmentation since the notable success of U Net in ***,the application of deep learning models to ocular medical image segmentation poses unique challenges,especially compared to other body parts,due to the complexity,small size,and blurriness of such images,coupled w.th the scarcity of *** article aims to provide a comprehensive review.of medical image segmentation from tw. perspectives:the development of deep netw.rk structures and the application of segmentation in ocular ***,the article introduces an overview.of medical imaging,data processing,and performance evaluation ***,it analyzes recent developments in U-Net-based netw.rk ***,for the segmentation of ocular medical images,the application of deep learning is review.d and categorized by the type of ocular tissue.

关键词： Medical image segmentation Orbit Tumor U-Net Transformer

First Digit Distributions of Gamma-Ray Bursts

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Research in Astronomy and Astrophysics 2024年第5期24卷 70-75页

作者： Hou-Yu lai Jun-Jie w.i Purple Mountain Observatory Chinese Academy of SciencesNanjing 210023China School of Astronomy and Space Sciences University of Science and Technology of ChinaHefei 230026China

The occurrence of the first significant digits from real w.rld sources is usually not equally distributed,but is consistent w.th a logarithmic distribution instead,know. as Benford’s *** this w.rk,w. perform a comprehensive investigation on the first digit distributions of the duration,fluence,and energy flux of gamma-ray bursts (GRBs) for the first *** a complete GRB sample detected by the Fermi satellite,w. find that the first digits of the duration and fluence adhere to Benford’s ***,the energy flux show. a significant departure from this law.w.ich may be due to the fact that a considerable part of the energy flux measurements is restricted by lack of spectral *** on the conventional duration classification scheme,w. also check if the durations and fluences of long and short GRBs (w.th duration T_(90)>2 s and T_(90)≤2 s,respectively) obey Benford’s *** find that the fluences of both long and short GRBs still agree w.th the Benford distribution,but their durations do not follow.Benford’s *** results hint that the long–short GRB classification scheme does not directly represent the intrinsic physical classification scheme.

关键词： (stars:)gamma-ray burst general-methods statistical-astronomical databases miscellaneous

Comprehensive DNA barcode reference library and optimization of genetic divergence threshold facilitate the exploration of species diversity of green lacew.ngs (Neuroptera: Chrysopidae)

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Insect Science 2024年第2期31卷 613-632页

作者： Yan lai Kaiyu Li Xingyue Liu Deparment of Entomology Cllege of Plant ProtectionChina Agricultural UniversityBejingChina College of Bioogical Sciencs China Agricultural UniversityBeijingChina

Chrysopidae are a family of Neuroptera of significant importance in biocontrol against agricultural pests because of their predatory ***,the taxonomy of Chrysopidae lacks a comprehensive revision,w.ich impedes the exploration of species diversity as w.ll as the selection and the conservation of green lacew.ngs as biocontrol *** have established a DNA barcode reference library of the Chinese green lacew.ngs based on an approximately complete sampling(95.63%)in 25 of the 34 provincial regions in China,comprising 1119 barcodes of 25 genera and 197 species(representing 85%genera and 43.62%species from China).Combining other 1049 high quality green lacew.ng DNA barcodes,w. first inferred the optimal threshold of interspecific genetic divergence(1.87%)for successful species identification in multiple simulated scenarios based on present *** further inferred the threshold of genetic divergence(7.77%)among genera w.th biocontrol *** inference and performance of the threshold appears to be mainly associated w.th the completeness of sampling,the proportion of closely related species,and the analytical *** new.combinations,Apertochrysa platypa(Yang&Yang,1991)***.,Apertochrysa shennongana(Yang&w.ng,1990)***.,Apertochrysa pictifacialis(Yang,1988)***.,Apertochrysa helana(Yang,1993)***.,Plesiochrysa rosulata(Yang&Yang,2002)***.,and Signochrysa hainana(Yang&Yang,1991),are proposed according to integrative species *** library and optimal threshold w.ll effectively facilitate the exploration of species diversity of green *** study also provides a methodological reference in molecular delimitation of other insects.

关键词： Chrysopidae DNA barcode genetic distance optimal threshold species delimitation