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Influence of Kerr Effect on Second-Order Nonlinearity Induced Transparency 克尔效应对二阶非线性诱导透明度的影响
Q3 Multidisciplinary Pub Date : 2024-02-01 DOI: 10.1051/wujns/2024291067
Zhiqiang Zhang, Yanhui Zhou
We theoretically study the effect of Kerr effect on the second-order nonlinearity induced transparency in a double-resonant optical cavity system. We show that in the presence of the Kerr effect, as the strength of the Kerr effect increases, the absorption curve exhibits an asymmetric-symmetric-asymmetric transition, and the zero absorption point shifts with the increase of the Kerr effect. Furthermore, by changing the strength of the Kerr effect, we can control the width of the transparent window, and the position of the zero-absorption point and meanwhile change the left and right width of the absorption peak. The asymmetry absorption curve can be employed to improve the quality factor of the cavity when the frequency detuning is tuned to be around the right peak. The simple dependence of the zero-absorption point on the strength of Kerr effect suggests that the strength of Kerr effect can be measured by measuring the position of the zero-absorption point in a possible application.
我们从理论上研究了克尔效应对双谐振腔光系统中二阶非线性诱导透明度的影响。我们的研究表明,在存在克尔效应的情况下,随着克尔效应强度的增加,吸收曲线呈现出非对称-对称-非对称的转变,零吸收点随着克尔效应的增加而移动。此外,通过改变克尔效应的强度,我们可以控制透明窗口的宽度和零吸收点的位置,同时改变吸收峰的左右宽度。当频率失谐调谐到右峰附近时,不对称吸收曲线可用于提高腔体的品质因数。零吸收点与克尔效应强度的简单依赖关系表明,在可能的应用中,可以通过测量零吸收点的位置来测量克尔效应的强度。
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引用次数: 0
Uniform Asymptotics for Finite-Time Ruin Probabilities of Risk Models with Non-Stationary Arrivals and Strongly Subexponential Claim Sizes 具有非静态到达和强次指数索赔规模的风险模型的有限时间毁灭概率的均匀渐近线
Q3 Multidisciplinary Pub Date : 2024-02-01 DOI: 10.1051/wujns/2024291021
Chenghao Xu, Kaiyong Wang, Jiangyan Peng
This paper considers the one- and two-dimensional risk models with a non-stationary claim-number process. Under the assumption that the claim-number process satisfies the large deviations principle, the uniform asymptotics for the finite-time ruin probability of a one-dimensional risk model are obtained for the strongly subexponential claim sizes. Further, as an application of the result of one-dimensional risk model, we derive the uniform asymptotics for a kind of finite-time ruin probability in a two dimensional risk model sharing a common claim-number process which satisfies the large deviations principle.
本文研究了具有非平稳索赔数过程的一维和二维风险模型。在索赔数过程满足大偏差原理的假设下,得到了强次指数索赔规模下一维风险模型有限时间毁损概率的均匀渐近线。此外,作为一维风险模型结果的应用,我们推导出了二维风险模型中一种有限时间毁损概率的均匀渐近线,该模型共享一个满足大偏差原理的共同索赔数过程。
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引用次数: 0
A Full-Newton Step Feasible Interior-Point Algorithm for the Special Weighted Linear Complementarity Problems Based on a Kernel Function 基于核函数的特殊加权线性互补问题的全牛顿步可行内部点算法
Q3 Multidisciplinary Pub Date : 2024-02-01 DOI: 10.1051/wujns/2024291029
Jie Geng, Mingwang Zhang, Dechun Zhu
In this paper, a new full-Newton step primal-dual interior-point algorithm for solving the special weighted linear complementarity problem is designed and analyzed. The algorithm employs a kernel function with a linear growth term to derive the search direction, and by introducing new technical results and selecting suitable parameters, we prove that the iteration bound of the algorithm is as good as best-known polynomial complexity of interior-point methods. Furthermore, numerical results illustrate the efficiency of the proposed method.
本文设计并分析了一种求解特殊加权线性互补问题的新的全牛顿步初等双内点算法。通过引入新的技术成果和选择合适的参数,我们证明了该算法的迭代约束与最著名的多项式复杂度内点法不相上下。此外,数值结果也说明了所提方法的高效性。
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引用次数: 0
Three New Classes of Subsystem Codes 三类新的子系统代码
Q3 Multidisciplinary Pub Date : 2024-02-01 DOI: 10.1051/wujns/2024291038
Hui Li, Xiusheng Liu, Peng Hu
In this paper, we construct three classes of Clifford subsystem maximum distance separable (MDS) codes based on Reed-Solomon codes and extended generalized Reed-Solomon codes over finite fields [see formula in PDF] for specific code lengths. Moreover, our Clifford subsystem MDS codes are new because their parameters differ from the previously known ones.
在本文中,我们基于有限域上的里德-所罗门码和扩展的广义里德-所罗门码[见 PDF 中的公式],构建了三类特定码长的克利福德子系统最大距离可分(MDS)码。此外,我们的克利福德子系统最大距离可分码是新码,因为它们的参数不同于以前已知的参数。
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引用次数: 0
Meromorphic Functions Sharing Two Values 共享两个值的同调函数
Q3 Multidisciplinary Pub Date : 2024-02-01 DOI: 10.1051/wujns/2024291007
Ying Zhao, Zhigang Huang
Let [see formula in PDF] and [see formula in PDF] be two nonconstant meromorphic functions, and [see formula in PDF] be a positive integer. If [see formula in PDF] and [see formula in PDF] share 1 CM (counting multiplicities), [see formula in PDF] and [see formula in PDF] share [see formula in PDF] IM (ignoring multiplicities), and [see formula in PDF], then either [see formula in PDF] or [see formula in PDF], where [see formula in PDF]. As an application, shared values problems of a meromorphic function related to its shifts and difference operators are also investigated.
设[见 PDF 中的公式]和[见 PDF 中的公式]是两个非恒定的分形函数,且[见 PDF 中的公式]是一个正整数。如果[见 PDF 中的公式]和[见 PDF 中的公式]共享 1 CM(计算乘数),[见 PDF 中的公式]和[见 PDF 中的公式]共享[见 PDF 中的公式]IM(忽略乘数),并且[见 PDF 中的公式],那么要么[见 PDF 中的公式],要么[见 PDF 中的公式],其中[见 PDF 中的公式]。作为应用,我们还研究了与移项和差分算子有关的分形函数的共值问题。
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引用次数: 0
Predictive Value of High Mobility Group Box-1 and miR-146b in Septic Shock Patients 脓毒性休克患者体内高迁移率组 Box-1 和 miR-146b 的预测价值
Q3 Multidisciplinary Pub Date : 2024-02-01 DOI: 10.1051/wujns/2024291085
Jun Feng, Shasha Shao, Junya Liu, Yongjun Pan, Huimei Yin, Junshuai Wang
In the face of the elevated incidence and mortality rate of septic shock in the ICU, this retrospective study seeks to investigate the indicative and predictive value of high-mobility group box 1 (HMGB1) and miR-146b in patients with septic shock. Quantitative RT-PCR was employed in this study to quantify the HMGB1 and miR-146b levels in plasma samples obtained from the patient group and healthy controls. The investigation involved the comparison between the two groups and tracking changes in the patient group over time. The finding revealed that upon admission, the patient group exhibited markedly elevated relative expression levels of HMGB1, which subsequently decreased over time. Conversely, the patient group displayed significantly reduced relative expression levels of miR-146b upon admission, which subsequently increased over time compared to the control group. Receiver operating characteristic (ROC) curves showed good predictive value for HMGB1 and miR-146b. The experimental results suggest that HMGB1 and miR-146b serve as valuable and convenient biomarkers for evaluating the severity of septic shock and predicting mortality. Additionally, it is proposed that serum miR-146b may be inducible and potentially exerts a negative regulatory effect on the expression of HMGB1.
面对重症监护室脓毒性休克发病率和死亡率的升高,本回顾性研究试图探讨高迁移率组盒 1(HMGB1)和 miR-146b 对脓毒性休克患者的指示性和预测性价值。本研究采用定量 RT-PCR 技术,对患者组和健康对照组血浆样本中的 HMGB1 和 miR-146b 水平进行定量分析。调查包括两组患者之间的比较以及追踪患者组随着时间推移的变化。研究结果显示,患者组在入院时,HMGB1 的相对表达水平明显升高,随后随着时间的推移有所下降。相反,与对照组相比,患者组入院时 miR-146b 的相对表达水平明显降低,但随着时间的推移又有所上升。接收者操作特征曲线(ROC)显示,HMGB1 和 miR-146b 具有良好的预测价值。实验结果表明,HMGB1 和 miR-146b 是评估脓毒性休克严重程度和预测死亡率的有价值且方便的生物标志物。此外,研究还提出血清 miR-146b 可能具有诱导性,并可能对 HMGB1 的表达产生负向调节作用。
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引用次数: 0
Common Fixed Points for Multiplicative Contractions in Multiplicative Metric Spaces 乘法公设空间中乘法收缩的常见定点
Q3 Multidisciplinary Pub Date : 2024-02-01 DOI: 10.1051/wujns/2024291013
Jiping Song, Tianqi Luo, Lei Lei
The study delves into multiplicative contractions, exploring the existence and uniqueness of common fixed points for a weakly compatible pair of mappings. Those mappings adhere to specific multiplicative contraction conditions characterized by exponents expressed as fraction multiplicative metric spaces. It is noted that a metric can induce a multiplicative metric, and conversely, a multiplicative metric can give a rise to a metric on a nonempty set. As an application, another proof of the existence and uniqueness of the solution of a multiplicative initial problem is given.
该研究深入探讨了乘法收缩,探索了一对弱兼容映射的共同定点的存在性和唯一性。这些映射遵守特定的乘法收缩条件,其特征是以分数乘法度量空间表示的指数。我们注意到,一个度量可以引起一个乘法度量,反之,一个乘法度量可以引起一个非空集上的度量。作为应用,还给出了乘法初始问题解的存在性和唯一性的另一个证明。
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引用次数: 0
Variational Data Assimilation Method Using Parallel Dual Populations Particle Swarm Optimization Algorithm 使用并行双种群粒子群优化算法的变分数据同化方法
Q3 Multidisciplinary Pub Date : 2024-02-01 DOI: 10.1051/wujns/2024291059
Zhongjian Wu, Junyan Li
In recent years, numerical weather forecasting has been increasingly emphasized. Variational data assimilation furnishes precise initial values for numerical forecasting models, constituting an inherently nonlinear optimization challenge. The enormity of the dataset under consideration gives rise to substantial computational burdens, complex modeling, and high hardware requirements. This paper employs the Dual-Population Particle Swarm Optimization (DPSO) algorithm in variational data assimilation to enhance assimilation accuracy. By harnessing parallel computing principles, the paper introduces the Parallel Dual-Population Particle Swarm Optimization (PDPSO) Algorithm to reduce the algorithm processing time. Simulations were carried out using partial differential equations, and comparisons in terms of time and accuracy were made against DPSO, the Dynamic Weight Particle Swarm Algorithm (PSOCIWAC), and the Time-Varying Double Compression Factor Particle Swarm Algorithm (PSOTVCF). Experimental results indicate that the proposed PDPSO outperforms PSOCIWAC and PSOTVCF in convergence accuracy and is comparable to DPSO. Regarding processing time, PDPSO is 40% faster than PSOCIWAC and PSOTVCF and 70% faster than DPSO.
近年来,数值天气预报越来越受到重视。变分数据同化为数值预报模式提供精确的初始值,这本身就是一个非线性优化挑战。由于所考虑的数据集非常庞大,因此会带来巨大的计算负担、复杂的建模和较高的硬件要求。本文在变分数据同化中采用了双群粒子群优化(DPSO)算法,以提高同化精度。通过利用并行计算原理,本文引入了并行双群粒子群优化(PDPSO)算法,以缩短算法处理时间。利用偏微分方程进行了仿真,并与 DPSO、动态权重粒子群算法(PSOCIWAC)和时变双压缩因子粒子群算法(PSOTVCF)进行了时间和精度方面的比较。实验结果表明,所提出的 PDPSO 在收敛精度上优于 PSOCIWAC 和 PSOTVCF,并与 DPSO 相当。在处理时间方面,PDPSO 比 PSOCIWAC 和 PSOTVCF 快 40%,比 DPSO 快 70%。
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引用次数: 0
Optimal Asymmetric Quantum Codes from the Euclidean Sums of Linear Codes 从线性编码的欧氏和看最佳非对称量子编码
Q3 Multidisciplinary Pub Date : 2024-02-01 DOI: 10.1051/wujns/2024291045
Peng Xu, Xiusheng Liu
In this paper, we first give the definition of the Euclidean sums of linear codes, and prove that the Euclidean sums of linear codes are Euclidean dual-containing. Then we construct two new classes of optimal asymmetric quantum error-correcting codes based on Euclidean sums of the Reed-Solomon codes, and two new classes of optimal asymmetric quantum error-correcting codes based on Euclidean sums of linear codes generated by Vandermonde matrices over finite fields. Moreover, these optimal asymmetric quantum error-correcting codes constructed in this paper are different from the ones in the literature.
本文首先给出了线性编码的欧氏和的定义,并证明了线性编码的欧氏和是欧氏对偶包含的。然后,我们基于里德-所罗门码的欧氏和构造了两类新的最优非对称量子纠错码,并基于有限域上范德蒙德矩阵生成的线性码的欧氏和构造了两类新的最优非对称量子纠错码。此外,本文构建的这些最优非对称量子纠错码与文献中的编码不同。
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引用次数: 0
Comprehensive Analysis of the Role of Forkhead Box J3 (FOXJ3) in Human Cancers 全面分析叉头盒 J3 (FOXJ3) 在人类癌症中的作用
Q3 Multidisciplinary Pub Date : 2024-02-01 DOI: 10.1051/wujns/2024291074
Yang Yang, Yulong Li, Xiao-Li Wang
Forkhead box J3 (FOXJ3) is a member of the forkhead box (Fox) family. Recently, increasing evidence has revealed the relationship between Fox family members and cancer. FOXJ3 is involved in various types of cancer, including lung cancer, tongue squamous carcinoma, and prostate cancer; however, a comprehensive pan-cancer analysis of FOXJ3 remains lacking. Here, we explored the function of FOXJ3 across cancers using online websites and databases including TIMER2.0, SangerBox, UALCAN, GEPIA2.0, cBioPortal, CancerSEA,STRING, BioGRID and Metascape to analyze the role of FOXJ3 in cancers. Abnormal expression of FOXJ3 was found in various tumors. The genetic alteration percentage in tumors was determined, and elevated FOXJ3 expression was found to be associated with worse overall survival in brain lower grade glioma(LGG), liver hepatocellular carcinoma (LIHC), sarcoma (SARC) and thyroid carcinoma. Elevated FOXJ3 expression was related to worse prognosis with disease-free survival in adrenocortical carcinoma, LGG and LIHC. FOXJ3 expression was related to immune infiltration in several cancers. Enrichment analysis showed that histone modification, the TGF-β signaling pathway, and chromatin organization were the top three enriched ontology clusters of the top 100 similar genes of FOXJ3. Our pan-cancer analysis provides comprehensive insights into FOXJ3 from the perspective of bioinformatics in different cancers, where it serves as a potential biomarker for prognosis, especially in LGG and LIHC. FOXJ3 is also correlated with immune infiltrates in certain human tumors.
叉头盒 J3(FOXJ3)是叉头盒(Fox)家族的成员。最近,越来越多的证据揭示了 Fox 家族成员与癌症之间的关系。FOXJ3 参与了多种类型的癌症,包括肺癌、舌鳞癌和前列腺癌。在此,我们利用在线网站和数据库(包括 TIMER2.0、SangerBox、UALCAN、GEPIA2.0、cBioPortal、CancerSEA、STRING、BioGRID 和 Metascape)探索了 FOXJ3 在各种癌症中的功能,以分析 FOXJ3 在癌症中的作用。研究发现,FOXJ3在多种肿瘤中均有异常表达。结果发现,在脑低级胶质瘤(LGG)、肝肝细胞癌(LIHC)、肉瘤(SARC)和甲状腺癌中,FOXJ3表达升高与总生存率降低有关。在肾上腺皮质癌、LGG和LIHC中,FOXJ3表达升高与预后较差和无病生存有关。在几种癌症中,FOXJ3的表达与免疫浸润有关。富集分析表明,组蛋白修饰、TGF-β信号通路和染色质组织是FOXJ3前100个相似基因的前三个富集本体集群。我们的泛癌症分析从生物信息学的角度全面揭示了FOXJ3在不同癌症中的作用,它是预后的潜在生物标志物,尤其是在LGG和LIHC中。FOXJ3 还与某些人类肿瘤中的免疫浸润相关。
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引用次数: 0
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Wuhan University Journal of Natural Sciences
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