Relaxed Stability Criteria for Delayed Generalized Neural Networks via a Novel Reciprocally Convex Combination

Dear Editor,This letter examines the stability issue of generalized neural networks(GNNs) with time-varying delay based on a novel reciprocally convex combination(RCC). By considering a new matrix polynomial, the proposed novel reciprocally convex method leads to a tight bound for integral inequality combination and encompasses several existing approaches as special cases.

Reversible Optical Isolators and Quasi-Circulators Using a Magneto-Optical Fabry-Pérot Cavity

Nonreciprocal optical devices are essential for laser protection,modern optical communication and quantum information processing by enforcing one-way light propagation.The conventional Faraday magneto-optical nonreciprocal devices rely on a strong magnetic field,which is provided by a permanent magnet.As a result,the isolation direction of such devices is fixed and severely restricts their applications in quantum networks.In this work,we experimentally demonstrate the simultaneous one-way transmission and unidirectional reflection by using a magneto-optical Fabry-Pérot cavity and a magnetic field strength of 50 mT.An optical isolator and a three-port quasi-circulator are realized based on this nonreciprocal cavity system.The isolator achieves an isolation ratio of up to 22 dB and an averaged insertion loss down to 0.97 dB.The quasi-circulator is realized with a fidelity exceeding 99% and an overall survival probability of 89.9%,corresponding to an insertion loss of~0.46 dB.The magnetic field is provided by an electromagnetic coil,thereby allowing for reversing the light circulating path.The reversible quasi-circulator paves the way for building reconfigurable quantum networks.

Magnetic Nonreciprocity in a Hybrid Device of Asymmetric Artificial Spin-Ice-Superconductors

Controlling the size and distribution of potential barriers within a medium of interacting particles can unveil unique collective behaviors and innovative functionalities.We introduce a unique superconducting hybrid device using a novel artificial spin ice structure composed of asymmetric nanomagnets.This structure forms a distinctive superconducting pinning potential that steers unconventional motion of superconducting vortices,thereby inducing a magnetic nonreciprocal effect,in contrast to the electric nonreciprocal effect commonly observed in superconducting diodes.Furthermore,the polarity of the magnetic nonreciprocity is in situ reversible through the tunable magnetic patterns of artificial spin ice.Our findings demonstrate that artificial spin ice not only precisely modulates superconducting characteristics but also opens the door to novel functionalities,offering a groundbreaking paradigm for superconducting electronics.

Relaxed Stability Criteria for Time-Delay Systems:A Novel Quadratic Function Convex Approximation Approach

This paper develops a quadratic function convex approximation approach to deal with the negative definite problem of the quadratic function induced by stability analysis of linear systems with time-varying delays.By introducing two adjustable parameters and two free variables,a novel convex function greater than or equal to the quadratic function is constructed,regardless of the sign of the coefficient in the quadratic term.The developed lemma can also be degenerated into the existing quadratic function negative-determination(QFND)lemma and relaxed QFND lemma respectively,by setting two adjustable parameters and two free variables as some particular values.Moreover,for a linear system with time-varying delays,a relaxed stability criterion is established via our developed lemma,together with the quivalent reciprocal combination technique and the Bessel-Legendre inequality.As a result,the conservatism can be reduced via the proposed approach in the context of constructing Lyapunov-Krasovskii functionals for the stability analysis of linear time-varying delay systems.Finally,the superiority of our results is illustrated through three numerical examples.

2种机用镍钛器械在乳磨牙根管治疗中的临床效果观察

目的探讨Reciproc机用镍钛器械和Protaper机用镍钛器械在乳磨牙根管治疗中的临床应用效果。方法选取2020年1月—2021年1月甘肃中医药大学附属医院口腔科就诊的乳牙牙髓病患儿50例,分别用Reciproc镍钛器械(RE组)和Protaper镍钛器械(PT组)进行根管治疗。分别记录2组的根管预备时间、诊间疼痛评估值和术后X线片检查充填效果。所有的根管治疗操作均为同一医生进行。结果平均每根根管预备时间RE组为(3.70±1.19)min,PT组为(5.43±1.16)min,RE组的预备时间短于PT组,差异有统计学意义(P<0.05)。2组约诊间痛评分和根管充填效果比较,差异无统计学意义(P>0.05)。结论机用镍钛器械Protaper和Reciproc在乳牙根管治疗时具有预备时间短、诊间疼痛反应低、充填效果佳的优点,其中Reciproc在治疗操作时间方面优于Protaper。

Reciprocity Relation between Alternative Gravity Formulas

We compare Newton’s force law of universal gravitation with a corrected simple approach based on Bhandari’s recently presented work, where the gravitation constant G is maintained. A reciprocity relation exists between both alternative gravity formulas with respect to the distances between mass centers. We conclude a one-to-one mapping of the two gravitational formulas. We don’t need Einstein’s construct of spacetime bending by matter.

新型往复运动单支锉根管预备对牙本质微裂的影响

目的 :比较新一代往复运动单支锉WaveOne Gold和Reciproc Blue与上一代WaveOne和Reciproc在根管预备后产生牙本质微裂的差异。方法:将90颗离体下颌单根前磨牙随机分为6组(n=15),分别为手用K锉组、WaveOne组、Reciproc组、WaveOne Gold组、Reciproc Blue组和空白对照组。将实验组根管预备至25#,空白对照组不作预备。利用硬组织切片机在距根尖孔3、6和9 mm处水平切割牙根,体视显微镜下放大25倍,观察不同横截面牙本质微裂情况。采用SPSS 17.0软件包对数据进行统计学分析。结果:手用K锉组和空白对照组未发现牙本质微裂;实验组中,WaveOne、WaveOne Gold、Reciproc和Reciproc Blue在根管预备后均产生了牙本质微裂,其中,WaveOne和手用K锉组产生的牙本质微裂纹数目差异有统计学意义(P<0.05),裂纹主要集中于根管根中段;Reciproc和Reciproc Blue 2种往复运动单支锉造成的牙本质微裂数目相同,与对照组相比无统计学差异。结论:使用新一代往复运动单支锉WaveOne Gold和Reciproc Blue不会增加根管预备后牙本质微裂纹发生的风险。

Reciproc单支锉清除iRoot SP糊剂单尖法根管充填材料的再治疗效率研究

目的以AH糊剂冷侧压法、热牙胶垂直加压法为对照,口腔锥形束CT(CBCT)三维重建评价使用Reciproc单支锉去除iRoot SP糊剂单尖法术后根管充填材料的再治疗效率。方法选择福建医科大学附属福州市第一医院口腔科2021年7—11月正畸拔除的卵圆形单根管下颌前磨牙90个,采用随机数表法分为iRoot SP糊剂单尖法组(1组)、热牙胶垂直加压组(2组)和AH糊剂冷侧压组(3组)。使用Reciproc单支锉再治疗,终末超声荡洗2 min。分别于根充术后、再治疗、超声荡洗后CBCT扫描并三维重建,记录再治疗时间、根管残余充填材料体积。结果1组再治疗耗时最长,2组最短,差异有统计学意义(P<0.05)。1组残余充填材料最多,大于2组,差异有统计学意义(P<0.05),大于3组,但差异无统计学意义(P>0.05)。超声荡洗后,1组残余量大幅度减少,差异有统计学意义(P<0.05);最终残余量大于2组,差异有统计学意义(P<0.05),大于3组,但差异无统计学意义(P>0.05)。结论无论哪种充填方法,Reciproc单支锉再治疗均不能完全去除充填材料。iRoot SP糊剂单尖法进行再治疗耗时最多,残余量也最多,超声荡洗能够显著减少残余量。

三种镍钛机用单支锉预备不同弯曲根管的体外研究

目的 比较三种镍钛机用单支锉在离体牙不同弯曲根管中的预备效果.方法 收集2021年1月至2022年8月符合实验标准的上下颌离体前磨牙120颗,根据弯曲程度分为I类、II类2组,分别使用Waveone gold(WOG),Reciproc blue(RPB),M3-L进行根管预备,通过预备前后根管CBCT影像对比,从根管预备时间、工作长度变化值、根尖偏移、角度差及器械抗疲劳能力等方面比较三种镍钛机用单支锉的根管成形能力.结果 M3-L根管预备时间I类(31.9±1.5)s、II类(34.6±1.9)s,WOG为(30.5±1.9)s与(32.8±2.6)s,RPB为(29.8±1.3)s与(30.7±2.5)s,三组差异有统计学意义(P<0.05);预备后根管角度差中M3-L I类为(0.656±0.425),II类为(0.832±0.366),WOG为(1.461±0.645)与(1.529±0.850),RPB为(1.328±0.399)与(1.398±0.532),差异有统计学意义(P<0.05);根尖偏移量与工作长度变化值三组比较,差异无统计学意义(P>0.05);M3-L最早发生器械形变(在预备至10个根管时发生),WOG与RPB分别在14与15个根管时发生器械形变,三者均未发生折断现象.结论 在预备弯曲度≤20°的离体牙根管中,M3-L与RPB、WOG均可以获得良好的根管预备效果,其中M3-L根管预备时间最长,预备后根管角度差值最小.

Genome-wide recombination variation in biparental segregating and reciprocal backcross populations provides information for introgression breeding in Brassica napus

Variation in patterns of recombination in plant genomes provides information about species evolution,genetic diversity and crop improvement. We investigated meiotic crossovers generated in biparental segregating and reciprocal backcross populations of the allopolyploid genome of rapeseed(Brassica napus)(AACC, 2n = 38). A structured set of 1445 intercrossed lines was derived from two homozygous de novo genome-assembled parents that represented the major genetic clusters of semi-winter Chinese and winter European rapeseeds, and was used to increase QTL resolution and achieve genomic reciprocal introgression. A high-density genetic map constructed with 6161 genetic bins and anchored centromere regions was used to establish the pattern of recombination variation in each chromosome. Around 93%of the genome contained crossovers at a mean rate of 3.8 c M Mb^(-1), with the remaining 7% attributed to centromeres or low marker density. Recombination hotspots predominated in the A genome, including two-thirds of those associated with breeding introgression from B. rapa. Genetic background might affect recombination variation. Introgression of genetic diversity from European winter to Chinese semi-winter rapeseed showed an increase in crossover rate under the semi-winter environment. Evidence for an elevated recombination rate having historically contributed to selective trait improvement includes accumulation of favorable alleles for seed oil content on hotspots of chromosome A10. Conversely, strong artificial selection may affect recombination rate variation, as appears to be the case with a coldspot resulting from strong selection for glucosinolate alleles on A09. But the cold region would be promptly reactivated by crossing design indicated by the pedigree analysis. Knowledge of recombination hotspots and coldspots associated with QTL for 22 traits can guide selection strategies for introgression breeding between the two gene pools. These results and rich genomic resources broaden our understanding of recombination behavior in allopolyploids and may advance rapeseed genetic improvement.

Nonreciprocal Phonon Laser in an Asymmetric Cavity with an Atomic Ensemble

Phonon lasers,as a novel kind of lasers for generating coherent sound oscillation,has attracted extensive attention.Here,we theoretically propose a nonreciprocal phonon laser in a hybrid optomechanical system,which is composed of an asymmetric Fabry-Pérot cavity,an ensemble of N identical two-level atoms,and a mechanical oscillator.The effective driving amplitude related to driving direction leads to an obvious difference in mechanical gain and threshold power,bringing about a nonreciprocal phonon laser.In addition,the dependence of the phonon laser on the atomic parameters is also discussed,including the decay rate of the atoms and the coupling strength between the atoms and the cavity field,which provides an additional degree of freedom to control the phonon laser action.Our work provides a path to realizing a phonon laser in an atoms-cavity optomechanical system and may aid the manufacture of directional coherent phonon sources.

Unconventional Nonreciprocal Voltage Transition in Ag_(2)Te Nanobelts

Nonreciprocal effects are consistently observed in noncentrosymmetric materials due to the intrinsic symmetry breaking and in high-conductivity systems due to the extrinsic thermoelectric effect. Meanwhile, nonreciprocal charge transport is widely utilized as an effective experimental technique for detecting intrinsic unidirectional electrical contributions. Here, we show an unconventional nonreciprocal voltage transition in topological insulator Ag_(2)Te nanobelts. The nonreciprocal voltage develops from nearly zero to giant values under the applied current I_(ac) and external magnetic fields, while remaining unchanged under various current I_(dc). This unidirectional electrical contribution is further evidenced by the differential resistance(dV/dI) measurements. Furthermore, the transition possesses two-dimensional properties under a tilted magnetic field and occurs when the voltage between two electrodes exceeds a certain value. We propose a possible mechanism based on the development of edge channels in Ag_(2)Te nanobelts to interpret the phenomenon. Our results not only introduce a peculiar nonreciprocal voltage transition in topological materials but also enrich the understanding of the intrinsic mechanism that strongly affects nonreciprocal charge transport.

A Quorum Sensing Active Matter in a Confined Geometry

Inspired by the problem of biofilm growth,we numerically investigate clustering in a two-dimensional suspension of active(Janus)particles of finite size confined in a circular cavity.Their dynamics is regulated by a non-reciprocal mechanism that causes them to switch from active to passive above a certain threshold of the perceived near-neighbor density(quorum sensing).A variety of cluster phases,i.e.,glassy,solid(hexatic)and liquid,are observed,depending on the particle dynamics at the boundary,the quorum sensing range,and the level of noise.

Topological Plasma Transport from a Diffusion View

Recent studies have identified plasma as a topological material.Yet,these researches often depict plasma as a fluid governed by electromagnetic fields,i.e.,a classical wave system.Indeed,plasma transport can be characterized by a unique diffusion process distinguished by its collective behaviors.We adopt a simplified diffusion-migration method to elucidate the topological plasma transport.Drawing parallels to the thermal conduction-convection system,we introduce a double-ring model to investigate the plasma density behaviors in the anti-parity-time reversal(APT) unbroken and broken phases.Subsequently,by augmenting the number of rings,we have established a coupled ring chain structure.This structure serves as a medium for realizing the APT symmetric one-dimensional(1D) reciprocal model,representing the simplest tight-binding model with a trivial topology.To develop a model featuring topological properties,we should modify the APT symmetric 1D reciprocal model from the following two aspects:hopping amplitude and onsite potential.From the hopping amplitude,we incorporate the non-reciprocity to facilitate the non-Hermitian skin effect,an intrinsic non-Hermitian topology.Meanwhile,from the onsite potential,the quasiperiodic modulation has been adopted onto the APT symmetric 1D reciprocal model.This APT symmetric 1D Aubry–André–Harper model is of topological nature.Additionally,we suggest the potential applications for these diffusive plasma topological states.This study establishes a diffusion-based approach to realize topological states in plasma,potentially inspiring further advancements in plasma physics.

Beam splitter benefits from topological antichiral edge states

Beam splitters play a crucial role in a wide range of optical systems.A typical beam splitter consists of several transport channels,and an input beam from one channel is split into multiple output beams coupled into other channels.For traditional beam splitters,their transportation channels(either in free space or waveguides)are reciprocal,being sensitive to various perturbations caused by defects and obstacles.

A Novel Localized Meshless Method for Solving Transient Heat Conduction Problems in Complicated Domains

This paper first attempts to solve the transient heat conduction problem by combining the recently proposed local knot method(LKM)with the dual reciprocity method(DRM).Firstly,the temporal derivative is discretized by a finite difference scheme,and thus the governing equation of transient heat transfer is transformed into a non-homogeneous modified Helmholtz equation.Secondly,the solution of the non-homogeneous modified Helmholtz equation is decomposed into a particular solution and a homogeneous solution.And then,the DRM and LKM are used to solve the particular solution of the non-homogeneous equation and the homogeneous solution of the modified Helmholtz equation,respectively.The LKM is a recently proposed local radial basis function collocationmethod with themerits of being simple,accurate,and free ofmesh and integration.Compared with the traditional domain-type and boundary-type schemes,the present coupling algorithm could be treated as a really good alternative for the analysis of transient heat conduction on high-dimensional and complicated domains.Numerical experiments,including two-and three-dimensional heat transfer models,demonstrated the effectiveness and accuracy of the new methodology.

Construction and Application of Cloud Computing Model for Reciprocal and Collaborative Knowledge Management

Promoting the co-constructing and sharing of organizational knowledge and improving organizational performance have always been the core research subject of knowledge management.Existing research focuses on the construction of knowledge management systems and knowledge sharing and transfer mechanisms.With the rapid development and application of cloud computing and big data technology,knowledge management is faced with many problems,such as how to combine with the new generation of information technology,how to achieve integration with organizational business processes,and so on.To solve such problems,this paper proposes a reciprocal collaborative knowledge management model(RCKMmodel)based on cloud computing technology,reciprocity theory,and collaboration technology.RCKM model includes project group management and cloud computing technology,which can realize management,finance,communication,and quality assurance of multiple projects and solve the problem of business integration with knowledge management.This paper designs evaluation methods of tacit knowledge and reciprocity preference based on the Bayesian formula and analyzes their effect with simulation data.The methods can provide quantitative support for the integration of knowledge management and business management to realize reciprocity and collaboration in the RCKM model.The research found that RCKM model can fully use cloud computing technology to promote the integration of knowledge management and organizational business,and the evaluation method based on the Bayesian formula can provide relatively accurate data support for the evaluation and selection of project team members.

An Automatic Threshold Selection Using ALO for Healthcare Duplicate Record Detection with Reciprocal Neuro-Fuzzy Inference System

ESystems based on EHRs(Electronic health records)have been in use for many years and their amplified realizations have been felt recently.They still have been pioneering collections of massive volumes of health data.Duplicate detections involve discovering records referring to the same practical components,indicating tasks,which are generally dependent on several input parameters that experts yield.Record linkage specifies the issue of finding identical records across various data sources.The similarity existing between two records is characterized based on domain-based similarity functions over different features.De-duplication of one dataset or the linkage of multiple data sets has become a highly significant operation in the data processing stages of different data mining programmes.The objective is to match all the records associated with the same entity.Various measures have been in use for representing the quality and complexity about data linkage algorithms,and many other novel metrics have been introduced.An outline of the problem existing in themeasurement of data linkage and de-duplication quality and complexity is presented.This article focuses on the reprocessing of health data that is horizontally divided among data custodians,with the purpose of custodians giving similar features to sets of patients.The first step in this technique is about an automatic selection of training examples with superior quality from the compared record pairs and the second step involves training the reciprocal neuro-fuzzy inference system(RANFIS)classifier.Using the Optimal Threshold classifier,it is presumed that there is information about the original match status for all compared record pairs(i.e.,Ant Lion Optimization),and therefore an optimal threshold can be computed based on the respective RANFIS.Febrl,Clinical Decision(CD),and Cork Open Research Archive(CORA)data repository help analyze the proposed method with evaluated benchmarks with current techniques.

不同往复运动单支镍钛锉根管预备后预备效率、根尖碎屑推出量及牙根微裂情况比较的体外研究

目的:比较Waveone Gold与Reciproc Blue两种往复运动单支镍钛锉根管预备后的预备效率、根尖碎屑推出量及牙根微裂情况。方法:选取由于正畸减数拔牙需要,拔除的根尖发育成熟的60颗离体下颌前磨牙为研究对象。按照根管预备方法不同将60颗离体牙分为Waveone Gold组与Reciproc Blue组,每组各30颗。比较两组预备时间、根管弯曲度、根尖碎屑推出量、牙根微裂发生情况及中心定位能力。结果:Waveone Gold组根管预备时间较Reciproc Blue组减少(P<0.05)。预备后,两组根管弯曲度略低于预备期前,但差异无统计学意义(P>0.05)。两组根尖碎屑推出量比较,差异无统计学意义(P>0.05)。Waveone Gold组、Reciproc Blue组分别有5颗、3颗牙出现裂纹,均为不完全裂,Reciproc Blue组牙根微裂发生率略低于Waveone Gold组,但差异无统计学意义(P>0.05)。两组在在距离根尖2、4、6 mm测量点处的轴中心率比较,差异均无统计学意义(P>0.05)。结论:Waveone Gold与Reciproc Blue两种往复运动单支镍钛锉进行根管预备均可较好保持根管的原始形态,且均具备良好的中心定位能力,但Waveone Gold的预备时间更短。