This paper proposes a novel hybrid Aperiodic Intermittent Event-Triggered （AIET）control strategy for achieving leader-follower exponential consensus in Lipschitz-type nonlinear multi-agent systems. Conditions（ETCs），each containing a decaying exponential function term，which regulates the controller's active and rest intervals. Additionally，a distributed event-triggering condition is effective only within control intervals to manage the timing of controller updates. It is proven that all three event-triggering intervals have a positive lower bound，fully preventing the occurrence of Zeno behavior in the system. Unlike existing methods that rely solely on event-triggered mechanisms to manage controller states or update timing，this approach combines event-triggered mechanisms （ETM）with intermittent control （IC）：by employing three distinct event-triggering mechanisms，it simultaneously reduces the need for continuous adjustments and sustained actions in the controller，thereby effectively lowering control and communication resource consumption. A simulation of the nonlinear multi-agent system is presented at the end of the paper，with results demonstrating the effectiveness of the proposed control strategy in achieving the control objective.

In this paper，the state-constrained multi-agent distributed convex optimization problem over a time-varying balanced network is investigated. In response to the limited network communication capability，a random quantizer is introduced in the agents'information interaction process to reduce data transmission effectively. Based on this，a distributed mirror descent algorithm with random quantization is proposed，and its convergence is analyzed under conventional assumptions，while the specific convergence rate is provided simultaneously. Finally，the feasibility of the developed algorithm is verified by using the distributed linear regression problem as a simulation example.

In this paper，a mathematical model of integrated pest management with linear state feedback control is presented，and the global dynamic properties of the system are studied. Firstly，Poincar map is defined on the phase set，and its geometric and analytical properties are discussed. Secondly，the sufficient and necessary conditions for the stability of the order periodic solution （the fixed point of Poincar map）are given，and the existence and stability of the order periodic solution are analyzed and discussed. Finally，the correctness of the theoretical conclusion was verified by numerical simulation，and the effective strategy of integrated pest control is given.

This paper investigates the finite-time group consensus problems for networked multi-Lagrange systems （MLSs）with parameter uncertainty under directed topology. To address the problems of nonlinear Lagrange dynamics with parameter uncertainty，the paper proposes adaptive finite-time control protocols by introducing two types of sliding vectors. The results show that the given sliding control in the paper solves the nonlinear problems of the MLSs under the group networks and ensures the finite-time consistent convergence of the system. Under the group topology，the networked MLSs are distributed to achieve group finite-time consensus. Finally，the simulation results illustrate the feasibility of the control protocol，and show the effectiveness of the finite-time control methods.

In the era of digital economy，China's “dual-carbon”strategy drives the transformation of its economy toward high-quality development. Therefore，this study investigates the spatiotemporal characteristics and spatial effects of carbon emissions across 285 cities. The results indicate that:（1）Both urban carbon emissions and digital economy development exhibit spatial correlations；（2）A “club convergence”phenomenon exists among regions at different development tiers，with the digital economy demonstrating a pronounced “Matthew effect”in interregional development trends，while urban carbon emissions display a downward transfer pattern；（3）Spatial econometric models reveal that the digital economy exerts significant spatial spillover effects on carbon emissions. Industrial structure shows notable short-term spillover effects，whereas research investment demonstrates stronger direct effects in the long term.

In this paper，by constructing Lax operator and using R-matrix on time scale，AKNS integrable coupled system based on time scale is established，and its bi-Hamiltonian structure is obtained success-fully by constructing Poisson tensor with recursive estimator. The classical AKNS integrable coupled system and its Hamiltonian structure are obtained by selecting a special time scale.

The Nirmala energy is a new metric for determining the thermal stability of a compound，and its energy is the sum of the absolute values of the eigenvalues of the Nirmala matrix. In this paper，the Nirmala energies of generalized splitting and shadow graphs on the basis of regular graphs are studied and the relationship between the Nirmala energies of the new graphs and those of the original graphs is obtained. The Nirmala energies of splitting and shadow graphs under the complete graphs and complete bipartite graphs are given.

A two-sided matching decision-making method based on regret theory and interval-valued intuitionistic fuzzy set is proposed. Firstly，based on the scoring function，the interval-valued intuitionistic fuzzy evaluation matrix given by the elderly and caregivers is transformed into a scoring function matrix，and the entropy weight method is used to calculate the weights of evaluation criteria. Then，based on the utility function and regret theory，the regret value matrices of both parties are obtained. With the goal of maximizing the satisfaction of both parties，a two-sided matching optimization model is established. Finally，the feasibility and effectiveness of the proposed method are verified through a case study of matching elderly people with caregivers.

In this paper，a single-stage domain adaptive commodity recognition algorithm YOLO-DA（YOLO-domain adaptive）is proposed. Firstly，adaptation adjustments are made to the YOLO algorithm for cross-domain tasks and the RPC dataset. Secondly，the neck network structure is redesigned，incorporating the BiFPN concept to re-fuse features at multiple scales. Finally，a Gradient Reversal Layer is added behind the backbone network for adversarial training on the training and testing sets，further approaching the goal of domain adaptation. The training results of the improved network model on the RPC dataset show that the mean average precision（mAP）reaches 65.25%. Compared with the baseline network，the detection accuracy is significantly improved，and the cases of missed detection and false detection are notably reduced.

A colorectal polyp segmentation network BGGNet （boundary graph and global graph guide network）is proposed，which is dual-oriented by boundary graphs and global graphs. In this paper，three network modules is designed：a single-level multi-scale feature extraction block，which is used to obtain contextual information of deep features；a boundary generation guidance module，which is used to fuse shallow features of adjacent scales to generate a boundary guidance map；a deep global graph guidance module，used to generate global graph-guided features using the global graph and reverse attention. By combining Res2Net with the above model，a progressively refined polyp segmentation area decoder is constructed. This encoder can fuse global graph-oriented features and boundary graph-oriented features step by step，refine the polyp structure step by step，and improve accuracy of polyp segmentation. Experimental results on data sets such as Kvasir and CVC-612 show that the proposed BGGNet network model has better polyp segmentation performance.

Although the widely-used top-drain drum washing machines in the market are excellent in solving the problem of drainage drop, due to the limitation of the drainage mechanism, a small amount of stagnant water often remains inside the washing machine, which may lead to bacterial growth, dirt accumulation and moldy odor in the long run, thus affecting the washing effect. Although users can manually open the emergency drain valve to discharge the water, this process is cumbersome and easily neglected. This paper designs and develops an automatic drainage device based on ESP32 microcontroller, which realizes the automatic drainage of water inside the washing machine through the cooperative work of water pump and solenoid valve. It is designed as a non-destructive modification without affecting the product warranty. Promoting this device can effectively solve the problem of residual water accumulation in existing drum washing machines and improve the user experience.

In order to solve the problem of low solubility of hydrophobic drug Kartogenin （KGN）in hydrogel，shell crosslinked F127 micelles was synthesized to dissolve KGN，followed by adding into hydrogels. Based on the hydrophobicity of middle block polyepoxypropane of F127 and the hydrophobicity of KGN，the efficient loading of KGN in shell crosslinked F127 micelles was realized. At the same time，natural polysaccharide based hydrogel was prepared by Schiff base crosslinking between hydroxypropyl chitosan（HPCS）and oxidized konjac glucomannan （OKGM）. The optimal ratio of HPCS and OKGM was obtained through rheological experiments and morphological characterization，and the shell crosslinked F127 micelles loaded with KGN was used as the addition component of the hydrogel. In this work，the hydrogel loading of hydrophobic drug KGN is realized，which provides a method to improve the hydrogel loading of hydrophobic drug molecules.

Nicrophorus maculifrons belongs to Nicrophorinae，Silphidae，Coleoptera. In this study，high-throughput sequencing technology was used to assemble the complete mitochondrial genome sequence of N .maculifrons . The study analyzed the sequence structure，base composition，codon usage frequency，and the secondary structure of tRNA genes of N .maculifrons . At the same time，two phylogenetic trees were constructed using Bayesian and maximum likelihood methods based on the sequences of 13 protein-coding genes of the N .maculifrons and seven other species of Silphidae. The results showed that the mitochondrial genome of N .maculifrons is 16692 bp，including 13 protein-coding genes，22 tRNAs，2 rRNAs and a control region. The genome exhibits a significant AT bias，with an A+T content of 76.42%. Among the 22 tRNA genes，all but four，which have partial structural deficiencies，exhibit the typical cloverleaf secondary structure. The results of two phylogenetic analyses based on 13 protein-coding genes showed that the phylogenetic relationship between the N .maculifrons and Nicrophorus nepalensis is the closest，which was consistent with the traditional morphological classification results.

In order to explore the loading mode of modified TiO2 photocatalyst and melamine sponge，self-floating photocatalyst with excellent performance was prepared and applied to the inactivation of red tide microalgae. The results showed that the loading capacity and loading strength of photocatalyst by gel method were higher than those by coating method，respectively 0.165 g and 96.72%，which was a more stable loading mode of modified photocatalyst and melamine sponge. The 4 h inactivation rate of the prepared floating photocatalyst for Karenia mikimotoi was as high as 86.25%，and the 96 h growth inhibition rate was as high as 81 .25%. The experiment also showed that photocatalysts disrupt cellular metabolic activity by degrading chlorophyll and proteins within microalgae cells，ultimately leading to their inactivation. The self-floating photocatalyst prepared by our research institute not only exhibits excellent algal removal effect，but also has stable recovery performance，which is expected to provide new ideas for the harmless treatment of harmful red tide outbreaks.

This study explores the rehabilitation effect of pilates on middle-aged and elderly female patients with knee osteoarthritis （KOA）before and after training，develops reasonable intervention and treatment strategies for KOA patients，and provides theoretical support.31 female KOA patients were recruited and randomly divided into the experimental pilates and quadriceps training control groups. All subjects were subjected to 12-week training intervention，and their weight，lower limb muscle mass，total body muscle mass，WOMAC osteoarthritis index，VAS pain index scale，20 m timed walking test，chair standing test，step test and other physical indicators were detected and compared were measured before and after training. It was found that the bone and joint pain value，functional value，stiffness value，total value and VAS value of the experimental group showed significant changes （P <0.001），chair standing test time was significantly shortened （P <0.001），the time of 20 m timed walking test was shortened considerably （P <0.05），the number of step experiments was significantly increased （P <0.05）. The results showed that a pilates training regimen could substantially improve pain symptoms and multiple functional indicators of KOA in middle-aged and older women.

In response to the current situation of cultivating interdisciplinary talents in statistics，the School of Statistics and Data Science of Qufu Normal University takes “moral education and talent cultivation”as the fundamental principle and multi-dimensional collaborative integration as the support. It integrates ideological and political education into various aspects of talent cultivation，constructs a three in one curriculum system，online and offline hybrid teaching methods，and diversified evaluation system，forms a “based on ideological and political guidance，and integration of specialization and innovation”statistical composite talent cultivation model.based on ideological and political guidance，and integration of specialization and innovation. Teaching practice has shown that the School of Statistics and Data Science of Qufu Normal University has achieved certain results in cultivating compound talents. This provides certain reference value for universities in cultivating compound talents.

This paper conducts extensive surveys and statistical analyses，taking the “Quantum Computing”course offered by Taiyuan University of Technology as an example for process reflection. Questionnaires were collected from students before，during，and after the course，focusing on aspects such as their expectation，learning interest，level of understanding，challenges with complex quantum computing concepts，relevance to practical applications，and the need for practical courses. Finally，based on the situation of our university，we have formulated practical course obj ectives for quantum computing，including the development of ideological and political education content for the quantum computing course，the establishment of a practical teaching syllabus and curriculum content，the completion and utilization of a quantum computing practice base，and the work undertaken to achieve these goals.