On power series statistical convergence and new uniform integrability of double sequences

In the present paper,we mostly focus on P_(p)^(2)-statistical convergence.We will look into the uniform integrability via the power series method and its characterizations for double sequences.Also,the notions of P_(p)^(2)-statistically Cauchy sequence,P_(p)^(2)-statistical boundedness and core for double sequences will be described in addition to these findings.

Optimal mining sequence for coal faces under a bedding slope:insight from landslide prevention

Repetitive mining beneath bedding slopes is identified as a critical factor in geomorphic disturbances, especially landslides and surface subsidence. Prior research has largely concentrated on surface deformation in plains due to multi-seam coal mining and the instability of natural bedding slopes, yet the cumulative impact of different mining sequences on bedding slopes has been less explored. This study combines drone surveys and geological data to construct a comprehensive three-dimensional model of bedding slopes. Utilizing FLAC3D and PFC2D models, derived from laboratory experiments, it simulates stress, deformation, and failure dynamics of slopes under various mining sequences. Incorporating fractal dimension analysis, the research evaluates the stability of slopes in relation to different mining sequences. The findings reveal that mining in an upslope direction minimizes disruption to overlying strata. Initiating extraction from lower segments increases tensile-shear stress in coal pillar overburdens, resulting in greater creep deformation towards the downslope than when starting from upper segments, potentially leading to localized landslides and widespread creep deformation in mined-out areas. The downslope upward mining sequence exhibits the least fractal dimensions, indicating minimal disturbance to both strata and surface. While all five mining scenarios maintain good slope stability under normal conditions, recalibrated stability assessments based on fractal dimensions suggest that downslope upward mining offers the highest stability under rainfall, contrasting with the lower stability and potential instability risks of upslope downward mining. These insights are pivotal for mining operations and geological hazard mitigation in multi-seam coal exploitation on bedding slopes.

Isolation of the Flanking Sequences Adjacent to Transgenic T-DNA in Brassica napus Genome by an Improved Inverse PCR Method

[Objective] The research aimed to isolate flanking sequences adjacent to the transgenic T-DNA in Brassica napus by an improved inverse PCR method.[Method] Using single clone of transgenic FS4 in Brassica napus as the research materials,total DNA was extracted from transgenic Brassica napus by using modified CTAB method.After enzyme digestion and purification,self-joining was made.Two circles of nested PCR and the sequence alignment were carried out.[Result] A fragement with the size of 4.0 kb was amplified ...

Characterization of the sequence spectrum of DNA based on the appearance frequency of the nucleotide sequences of the genome——A new method for analysis of genome structure

The nucleotide (base) sequence of the genome might reflect biological information beyond the coding sequences. The appearance frequencies of successive base sequences (key sequences) were calculated for entire genomes. Based on the appearance frequency of the key sequences of the genome, any DNA sequences on the genome could be expressed as a sequence spectrum with the adjoining base sequences, which could be used to study the corresponding biological phenomena. In this paper, we used 64 successive three- base sequences (triplets) as the key sequences, and determined and compared the spectra of specific genes to the chromosome, or specific genes to tRNA genes in Saccharomyces cerevisiae, Schizosaccharomyces pombe and Escherichia coli. Based on these analyses, a gene and its corresponding position on the chromosome showed highly similar spectra with the same fold enlargement (approximately 400-fold) in the S. cerevisiae, S. pombe and E. coli genomes. In addition, the homologous structure of genes that encode proteins was also observed with appropriate tRNA gene(s) in the genome. This analytical method might faithfully reflect the encoded biological information, that is, the conservation of the base sequences was to make sense the conservation of the translated amino acids sequence in the coding region, and might be universally applicable to other genomes, even those that consisted of multiple chromosomes.

Effects of Voltage Sag on the Performance of Induction Motor Based on a New Transient Sequence Component Method

Voltage sag is one of the most common power quality disturbances in industry,which causes huge inrush currents in stator windings of induction motors,and adversely impacts the motor secure operation.This paper firstly introduces a 2D Time-Stepping multi-slice finite element method(2D T-S multi-slice FEM)which is used for calculating the magnetic field distribution in induction motors under different sag events.Then the paper deduces the transient analytical expression of stator inrush current based on the classical theory of AC motors and presents a separation method for the positive,negative and zero sequence values based on instantaneous currents.With this method,the paper studies the influences of voltage sag amplitude,phase-angle jump and initial phase angle on the stator positive-and negative-sequence peak currents of 5.5 kW and 55 kW induction motors.This paper further proposes a motor protection method under voltage sag condition with the stator negative-sequence peak currents as the protection threshold,so that the protection false trip can be avoided effectively.Finally,the calculation and analysis results are validated by the comparison of calculated and measured stator peak value of the 5.5 kW induction motor.

An Efficient Frontier for Sum Deviation JIT Sequencing Problem in Mixed-model Systems via Apportionment

In this paper, the sum deviation just-in-time （JIT） sequencing problem in mixed-model production systems is studied relating with the discrete apportionment problem together with their respective mathematical formulations. The assignment formulation for the first problem is briefly discussed followed by the existence of JIT cyclic sequences. Presenting the concise discussion on divisor methods for the discrete apportionment problem, we have proposed two mean-based divisor functions for this problem claiming that they are better than the existing divisors; hence, we found a better bound for the JIT sequencing problem. The linkage of both the problems is characterized in terms of similar type of objective functions. The problems are shown equivalent via suitable transformations and similar properties. The joint approaches for the two problems are discussed in terms of global and local deviations proposing equitably efficient solution.

MULTIPLE RECIPROCITY METHOD WITH TWO SERIES OF SEQUENCES OF HIGH-ORDER FUNDAMENTAL SOLUTION FOR THIN PLATE BENDING

The boundary value problem of plate bending problem on two_parameter foundation was discussed.Using two series of the high_order fundamental solution sequences, namely, the fundamental solution sequences for the multi_harmonic operator and Laplace operator, applying the multiple reciprocity method(MRM), the MRM boundary integral equation for plate bending problem was constructed. It proves that the boundary integral equation derived from MRM is essentially identical to the conventional boundary integral equation. Hence the convergence analysis of MRM for plate bending problem can be obtained by the error estimation for the conventional boundary integral equation. In addition, this method can extend to the case of more series of the high_order fundamental solution sequences.

STUDY ON THE SEQUENCE STRUCTURE OF SBR BY ^(13)C-NMR METHOD Ⅱ. PEAK ASSIGNMENT FOR ALIPHATIC CARBONS SPECTRA

The study on ^(13)C-NMR spectra of aliphatic carbon region of emuision-processed and solution-processed (by lithium catalyst) SBR was carried out. The assignments for more than thirty odd peaks observed experimentally were made by using 'corresponding analysis' method, combined with the empirical parameters reported in literature. The peak intensifies were calculated based on BemouUian statistic assumption.

Analysis method and algorithm design of biological sequence problem based on generalized k-mer vector

K-mer can be used for the description of biological sequences and k-mer distribution is a tool for solving sequences analysis problems in bioinformatics.We can use k-mer vector as a representation method of the k-mer distribution of the biological sequence.Problems,such as similarity calculations or sequence assembly,can be described in the k-mer vector space.It helps us to identify new features of an old sequence-based problem in bioinformatics and develop new algorithms using the concepts and methods from linear space theory.In this study,we defined the k-mer vector space for the generalized biological sequences.The meaning of corresponding vector operations is explained in the biological context.We presented the vector/matrix form of several widely seen sequence-based problems,including read quantification,sequence assembly,and pattern detection problem.Its advantages and disadvantages are discussed.Also,we implement a tool for the sequence assembly problem based on the concepts of k-mer vector methods.It shows the practicability and convenience of this algorithm design strategy.

GENERALIZED INVERSE RATIONAL EXTRAPOLATION METHODS FOR MATRIX SEQUENCES

Assume that a convergent matrix sequence{An}:An→A（n→∞）, An,A∈C3×3.We want to form a new matrix sequence {Hn}, derived from {An}, which has also A aslimit and whose convergence is faster than the of {An}. Three rational extrapolation meth-ods for accelerating the convergence of matrix sequences {An} are presented in this paper.The underlying methods are based on the generalized inverse for matrices which is

An Uncertainty Analysis and Reliability-Based Multidisciplinary Design Optimization Method Using Fourth-Moment Saddlepoint Approximation

In uncertainty analysis and reliability-based multidisciplinary design and optimization(RBMDO)of engineering structures,the saddlepoint approximation(SA)method can be utilized to enhance the accuracy and efficiency of reliability evaluation.However,the random variables involved in SA should be easy to handle.Additionally,the corresponding saddlepoint equation should not be complicated.Both of them limit the application of SA for engineering problems.The moment method can construct an approximate cumulative distribution function of the performance function based on the first few statistical moments.However,the traditional moment matching method is not very accurate generally.In order to take advantage of the SA method and the moment matching method to enhance the efficiency of design and optimization,a fourth-moment saddlepoint approximation(FMSA)method is introduced into RBMDO.In FMSA,the approximate cumulative generating functions are constructed based on the first four moments of the limit state function.The probability density function and cumulative distribution function are estimated based on this approximate cumulative generating function.Furthermore,the FMSA method is introduced and combined into RBMDO within the framework of sequence optimization and reliability assessment,which is based on the performance measure approach strategy.Two engineering examples are introduced to verify the effectiveness of proposed method.

ASE-ERNIE:一种基于ERNIE的中文指令动作序列生成方法

中文结构灵活多样,同样的语义有多种表达方式,在中文指令过长或存在多组动作的情况下,家庭服务机器人很难正确理解并做出响应。此外,家庭环境的中文指令解析研究在数据方面仍然稀缺。现有的方法不能准确提取出指令中包含的全部动作序列。由此提出一种基于ERNIE方法的动作序列提取(ASE-ERNIE)模型来提取中文指令中的可执行动作序列,该模型通过动作类型和参数之间的关系提取指令信息,将动作序列的提取工作转化为序列标注任务。在指令中存在多组动作并且存在多个参数的情况下,依然能够提取出全部动作序列。通过实验验证了所提方法的有效性,动作序列提取任务的F 1值达到了80.37%。

间作黄芪对当归根际土壤微生物的影响

目的:探讨根际土壤微生物对中药材种植模式的响应方式。方法:以间作黄芪及单作下当归根际土壤为研究对象,基于高通量测序技术,分析土壤微生物在不同季节及种植模式下群落组成及功能的差异。结果:间作下Chao1指数、ACE指数高于单作,变形菌门、放线菌门、酸杆菌门、绿弯菌门和芽单胞菌门为间作下的优势菌门,芽单胞菌门的相对丰度在间作下高于单作。11月间作下γ变形菌纲、7月间作下全噬菌纲的丰度显著高于单作。KEGG功能预测表明,在不同时间及间作下根际土壤细菌与细胞过程、环境信息处理、遗传信息处理、代谢功能下属的23类二级功能基因的相对丰度存在显著差异;参与氮循环的功能基因K00371(narH/narY/nxrB)、(K00374 narI/narV)等OTU数在间作下显著高于单作;不同门、纲在间作下的共生网络比单作下连接紧密且更复杂。结论:当归间作黄芪影响土壤细菌群落组成,增加其丰富度及功能的丰富性,影响土壤氮循环能力,促进土壤微生物间的交互作用。

壳源氦气成藏主控因素及资源评价方法研究

当前国内外尚无系统的氦气资源评价方法以及针对性的参数取值标准。通过天然气和氦气的成藏要素对比,明确了载体气和壳源氦气的异源同储、同源同储和同源异储3类共生关系,以及壳源氦气成藏的8个关键因素。构建了4类10种氦气资源分级分类评价方法,其中含量法包括5个亚类,统计法包括1个亚类,类比法包括3个亚类,成因法1个亚类,初步解决了氦气资源定量计算的难题。结果表明:高氦气含量的气藏一般为常压及低压气藏,氦气含量与氦源岩类型、铀钍含量和氦源岩规模3个参数呈正向关系,而与离主断裂距离、埋深和生烃强度3个参数呈负相关,适度的基底构造活动有利于氦气释放及富集。基于8类氦气成藏主控因素与氦气含量的定量关系,建立了氦气含量类比法。基于异源同储不同序的原理,构建了氦气资源规模序列法;基于放射性元素衰变释氦机理,建立了氦气成因法。氦气资源评价方法在国内外得到了较为广泛的应用,研究成果将为我国氦气储量规模发现提供了有效支撑。

云南盐津地区两种地震序列的地震活动性分析

2020年9月—2021年1月,云南盐津地区出现了密集中小地震活动。为获取更完备的地震目录和更准确的震源参数,利用2020年1月—2021年2月云南及其邻区地震台网记录到地震事件的观测报告和连续波形,采用匹配定位方法检测到了1340次地震事件。利用联合波形互相关的双差地震定位方法进行重定位,获得了检测目录中351次地震的精确位置,对精定位后的地震活动时空分布特征进行分析研究,结果表明:盐津地区发生的密集中小地震活动为先后发生的2种不同类型的地震序列,沿两条不同走向和倾角的断裂分布,其中2020年9—10月的M_(L)3.9震群型地震序列发生在NNW走向、倾角约为75°的盐津—筠连断裂;2021年1月的M_(L)5.2孤立型地震序列发生在近SN走向、断层线与盐津—筠连断裂呈约30°夹角且倾角约为50°的隐伏断裂。

四参数正弦曲线拟合的快速算法

对四参数正弦拟合软件运行时间进行了研究,提出一种软件拟合时间的定量评价方法,对序列长度、序列所含信号周波数、正弦波形幅度、相位、直流分量,以及A/D位数等不同因素条件,给四参数正弦曲线拟合所用时间的影响进行了定量评价,获得了拟合时间随各个因素而变化的规律。针对影响软件运行时间的主要因素,提出了以减少拟合序列长度为手段,进而降低拟合所用时间的快速拟合方法。它们是直接序列截取法和二次抽样法。并在一组实验上验证了所述方法的有效性与可行性,获得了二次抽样法优于直接截取法的明确结论。所述方法可用于四参数正弦拟合的快速运算。

沉积盆地古水深恢复方法与研究进展

古水深分析对古环境重建、盆地分析、层序地层学研究、古地貌恢复以及生、储、盖层条件的评价都有重要意义。古水深分析通常有古生物法、沉积学法、地球物理法、地球化学法及数字模拟法,各种方法优缺点并存,尽管某些方法在特定地质条件下存在优势,但在恢复同一环境的古水深时,不同方法还是存在其偏差;这些方法多以定性为主,许多方法易受自然条件限制,且对样品可靠性要求高,一定程度上限制了古水深研究。古水深恢复建议综合考虑地质背景、环境演化、研究地质体特征及地质资料情况等多种因素,多方法研究相互约束,以期更客观地再现古水深变化规律。

沙门菌血清分型方法的比较

血清分型是沙门菌最基本和最重要的流行病学调查手段,不同血清型沙门菌引起的临床症状和造成的危害不同,快速准确地进行血清分型对于畜禽沙门菌病的防控和公共卫生安全意义重大。基于此,本试验选择我国1971—2020年分离的51株沙门菌(13种血清型),分别用全基因组测序(WGS)分型方法和液相芯片分型方法进行血清分型,并与玻片凝集法进行比较,分析3种分型方法的优劣。结果显示,玻片凝集法测得51株沙门菌的血清分型结果与原始结果一致;WGS分型方法和液相芯片分型方法分别测得34株和23株沙门菌血清分型与玻片凝集法结果一致。3种分型方法相比,WGS分型方法可鉴定出玻片凝集法和液相芯片分型方法无法分型的菌株,在操作时间和成本上更具优势。本试验可为沙门菌的血清分型研究提供参考。

基于多序列隐关系的时序事件预测

时序事件预测是指基于历史事件预测下一个事件,事件包括时间和类型两个属性。当前主要工作集中在单方面(事件时间或事件类型)的预测,但这无法回答“何时发生何事”这类更精细的问题。此类问题的挑战主要是事件类型非常多样,而行为往往高度稀疏,给预测带来极大困难;需要预测的事件时间和事件类型分属两个域,如何把这两个域的信息加以融合并形成互补也是一个挑战。针对上述挑战,从融合多序列隐信息的角度探索了一种解决方法。基于某些事件序列之间具有模式相似性这一观察,提出建模事件序列的隐关系图,利用邻居序列的信息解决行为稀疏性的问题;通过合理设计神经网络模块,将事件的时间域和类型域的信息映射到共同的抽象空间,解决事件时间和事件类型信息的融合建模问题。通过在多个真实数据集上进行了大量实验,实验结果印证了多序列深度时序模型优于现有的一系列基准模型。

宏基因组二代测序技术在血液病患者合并感染诊疗中的应用

探讨宏基因组二代测序(mNGS)在血液病合并感染诊疗中的临床应用价值。对比分析2021年8月至2022年12月吉林省人民医院血液科血液病合并感染患者的传统病原体检测结果与mNGS检测结果,探讨mNGS在血液病合并感染时诊疗的优势及临床应用价值。共纳入患者20例,经mNGS检测,16例呈阳性,包括细菌感染3例、真菌感染1例、病毒感染4例,两种以上感染8例;4例呈阴性。mNGS病原体检出率和检出种类显著高于传统检测方法。根据mNGS检测结果调整临床用药后,治疗效果良好。与传统病原体检测方法相比,mNGS对血液病合并感染具有较高的检出率,检出更全面,显著提高了患者的生存率及生活质量,对于临床用药具有指导意义。研究结果表明病原宏基因组二代测序可为该类感染提供病原学证据以辅助血液病合并感染的治疗。