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Micromechanical damage and proppant embedment patterns of fracture surfaces in lacustrine shale CO_(2)pre-pad energized fracturing
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作者 SUN Lianhe WANG Haizhu +7 位作者 LI Gensheng WANG Bin STANCHITS Sergey MAO Zelong ZHANG Yaochen CHEREMISIN Alexey ZHENG Yong JIN Jiacheng 《Petroleum Exploration and Development》 2025年第4期1041-1052,共12页
To elucidate the mechanism by which supercritical CO_(2)(SCCO_(2))-water-shale interactions during CO_(2)energized fracturing influence proppant embedment in lacustrine shale,shale samples from the Bohai Bay Basin wer... To elucidate the mechanism by which supercritical CO_(2)(SCCO_(2))-water-shale interactions during CO_(2)energized fracturing influence proppant embedment in lacustrine shale,shale samples from the Bohai Bay Basin were selected for SCCO_(2)-water-shale interaction experiments.X-ray diffraction(XRD),SEM large-area high-resolution imaging,automated mineral identification and characterization system(AMICS),and nanoindentation tests were employed to examine the micro-mechanical damage mechanisms of fracture surfaces and the evolving patterns of proppant embedment characteristics.The results reveal that:Prolonged interaction time reduces the contents of dolomite,feldspar,and clay minerals,while quartz content increases,with dolomite showing the most pronounced dissolution effect.As interaction time increases,the hardness and elasticity modulus of shale follow a power-law decay pattern,with the peak degradation rate occurring at 1 d,followed by a gradual decline of degradation velocity.Increasing interaction time results in growth in both the number and depth of embedment pits on the sample surface.After more than 3 d of interaction,clustered proppant embedment is observed,accompanied by the formation of deep embedment pits on the surface. 展开更多
关键词 CO_(2)energized fracturing lacustrine shale SCCO_(2)-water-shale interaction micro-mechanical properties proppant embedment
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Clinical efficacy of catgut embedment combined with moxibustion and bloodletting in the treatment of androgenic alopecia 被引量:4
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作者 高建英 刘海金 +5 位作者 石晶 杨阳 葛长青 郄增旺 谢亚彬 贾春生 《World Journal of Acupuncture-Moxibustion》 CSCD 2015年第1期1-6,共6页
Objective To observe the clinical efficacy of catgut embedment combined with moxibustion and bloodletting in the treatment of androgenic alopecia and to probe into its therapeutic mechanism. Methods Eighty-four patien... Objective To observe the clinical efficacy of catgut embedment combined with moxibustion and bloodletting in the treatment of androgenic alopecia and to probe into its therapeutic mechanism. Methods Eighty-four patients with androgenic alopecia were divided into catgut embedment group (group A) and western medicine group (group B) on the basis of random number table and according to the order of treatment. For the pateints in group A, Shenguan (肾关) on both sides, Minghuang (明黄) and Zusanli (足三里 ST 36) were selected to receive catgut embedment therapy, once every month, combined with moxibustion on the lower abdomen and local bloodletting treatment. For the patients in group B, finasteride 1mg/d was orally administrated. The treatment period for two groups was 3 months, and the follow-up visit lasted for 3 months. Serum testosterone (T) and estradiol (E2) contents were detected respectively before treatment, after i month and 3 months of treatment and after 3 months of follow-up visit, and the specific values were calculated to make statistical analysis of T, E2, T/E2 and curative effects of the two groups after i month and 3 months of treatment and after 3 months of follow-up visit. Results There was no statistical significance in curative effect between the two groups after i month of treatment (P〉0.05), and the curative effect in group A were better than that in group B after 3 months of treatment or after 3 months of follow-up visit (both P〈0.05); E2 level in group A was lower than that in group A after 3 months of treatment (P〈0.05); T, E2 and T/E2 in group A were all lower than that in group B after 3 month of follow-up visit (all P〈0.05). Conclusion The curative effect of treating androgenic alopecia with catgut embedment, moxibustion and bloodletting is definite, and its mechanism of action may be related to the reduction of T levels and T/E2 values. 展开更多
关键词 androgenic alopecia catgut embedment in acupoint mild moxibustion BLOODLETTING TESTOSTERONE ESTRADIOL
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Recent Study of Drag Embedment Plate Anchors in China 被引量:7
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作者 Haixiao Liu 《Journal of Marine Science and Application》 2012年第4期393-401,共9页
Experimental and theoretical studies of drag embedment plate anchors recently carried out in Tianjin University are summarized in this research paper, which involve a series of important topics relevant to the study o... Experimental and theoretical studies of drag embedment plate anchors recently carried out in Tianjin University are summarized in this research paper, which involve a series of important topics relevant to the study of drag anchors. The techniques for measuring the trajectory and movement direction of drag anchors in soils, the techniques for measuring the moving embedment point and reverse eatenary shape of the embedded drag line, the penetration mechanism and kinematic behavior of drag anchors, the ultimate embedment depth of drag anchors, the movement direction of the anchor with an arbitrary fluke section, the reverse catenary properties of the embedded drag line, the interaetional properties between drag anchor and installation line, the kinematic model of drag anchors in seabed soils, and the analytical method for predicting the anchor trajectory in soils will all be examined. The present work remarkably reduces the uncertainties in design and analysis of drag embedment plate anchors, and is beneficial to improving the application of this new type of drag anchor in offshore engineering. 展开更多
关键词 drag embedment plate anchor vertically loaded plate anchor VLA drag-in plate anchor drag anchor ultimate embedment depth movement direction kinematic model penetration mechanism kinematic behavior
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Critical embedment depth of a rigid retaining wall against overturning in unsaturated soils considering intermediate principal stress and strength nonlinearity 被引量:4
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作者 张常光 陈新栋 范文 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第4期944-954,共11页
The overturning stability is vital for the retaining wall design of foundation pits, where the surrounding soils are usually unsaturated due to water draining. Moreover, the intermediate principal stress does affect t... The overturning stability is vital for the retaining wall design of foundation pits, where the surrounding soils are usually unsaturated due to water draining. Moreover, the intermediate principal stress does affect the unsaturated soil strength; meanwhile, the relationship between the unsaturated soil strength and matric suction is nonlinear. This work is to present closed-form equations of critical embedment depth for a rigid retaining wall against overturning by means of moment equilibrium. Matric suction is considered to be distributed uniformly and linearly with depth. The unified shear strength formulation for unsaturated soils under the plane strain condition is adopted to characterize the intermediate principal stress effect, and strength nonlinearity is described by a hyperbolic model of suction angle. The result obtained is orderly series solutions rather than one specific answer; thus, it has wide theoretical significance and good applicability. The validity of this present work is demonstrated by comparing it with a lower bound solution. The traditional overturning designs for rigid retaining walls, in which the saturated soil mechanics neglecting matric suction or the unsaturated soil mechanics based on the Mohr-Coulomb criterion are employed, are special cases of the proposed result. Parametric studies about the intermediate principal stress, matric suction and its distributions along with two strength nonlinearity methods on a new defined critical buried coefficient are discussed. 展开更多
关键词 unsaturated soils retaining walls overturning stability critical embedment depth intermediate principal stress strength nonlinearity
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Crushing and embedment of proppant packs under cyclic loading: An insight to enhanced unconventional oil/gas recovery 被引量:3
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作者 K.M.A.S.Bandara P.G.Ranjith +2 位作者 T.D.Rathnaweera W.A.M.Wanniarachchi S.Q.Yang 《Geoscience Frontiers》 SCIE CAS CSCD 2021年第6期376-393,共18页
Crushing and embedment are two critical downhole proppant degradation mechanisms that lead to a significant drop in production outputs in unconventional oil/gas stimulation projects. These persistent production drops ... Crushing and embedment are two critical downhole proppant degradation mechanisms that lead to a significant drop in production outputs in unconventional oil/gas stimulation projects. These persistent production drops due to the non-linear responses of proppants under reservoir conditions put the future utilization of such advanced stimulation techniques in unconventional energy extraction in doubt. The aim of this study is to address these issues by conducting a comprehensive experimental approach. According to the results, whatever the type of proppant, all proppant packs tend to undergo significant plastic deformation under the first loading cycle.Moreover, the utilization of ceramic proppants(which retain proppant pack porosity up to 75%), larger proppant sizes(which retain proppant pack porosity up to 15.2%) and higher proppant concentrations(which retain proppant pack porosity up to 29.5%) in the fracturing stimulations with higher in-situ stresses are recommended to de-escalate the critical consequences of crushing associated issues. Similarly, the selection of resin-coated proppants over ceramic and sand proppants may benefit in terms of obtaining reduced proppant embedment.In addition, selection of smaller proppant sizes and higher proppant concentrations are suggested for stimulation projects at depth with sedimentary formations and lower in-situ stresses where proppant embedment predominates. Furthermore, correlation between proppant embedment with repetitive loading cycles was studied.Importantly, microstructural analysis of the proppant-embedded siltstone rock samples revealed that the initiation of secondary induced fractures. Finally, the findings of this study can greatly contribute to accurately select optimum proppant properties(proppant type, size and concentration) depending on the oil/gas reservoir characteristics to minimize proppant crushing and embedment effects. 展开更多
关键词 PROPPANT Micro-CT analysis Proppant crushing Proppant embedment Secondary induced fractures Cyclic loading
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Characterization of the fracture compressibility and its permeability for shale under the effects of proppant embedment and compaction:A preliminary study 被引量:2
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作者 Jian-Hua Li Bo-Bo Li +1 位作者 Qiao-Yun Cheng Zheng Gao 《Petroleum Science》 SCIE CAS CSCD 2022年第3期1125-1138,共14页
Hydraulic fracturing technology plays a key role in improving the recovery rate of shale gas.The improvement of permeability in relation to hydraulic fracturing depends on changes brought about by the proppant on the ... Hydraulic fracturing technology plays a key role in improving the recovery rate of shale gas.The improvement of permeability in relation to hydraulic fracturing depends on changes brought about by the proppant on the fracture structure in reservoirs.Then it is of great significance to describe the microscopic changes during this process by means of an accurate theoretical model.In this study,based on the heterogeneity of shale fracture and the compaction and embedment of a proppant,we proposed a permeability model to examine the combined effects of a proppant and stress to describe the change mechanism in permeability.Further,changes in fracture width and porosity were considered,and a calculation model of fracture compressibility under proppant compaction and embedment was proposed.The difference from previous studies is that the compressibility and permeability of supported fractures can be further quantified and analyzed by this model.Moreover,its rationality was verified by publicly released test data.The results show that,the compressive effect of stress and the embedding of proppant both have a negative impact on shale permeability. 展开更多
关键词 SHALE Fracture compressibility PERMEABILITY Hydraulic fracturing Proppant embedment
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Upper bound seismic rotational stability analysis of gravity retaining walls considering embedment depth 被引量:2
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作者 刘杰 黄达 +1 位作者 杨超 孙莎 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第10期4083-4089,共7页
Stability analysis of gravity retaining wall was currently based on the assumption that the wall had no embedment depth. The effect of earth berm was usually neglected. The present work highlighted the importance of e... Stability analysis of gravity retaining wall was currently based on the assumption that the wall had no embedment depth. The effect of earth berm was usually neglected. The present work highlighted the importance of embedment depth when assessing the seismic stability of gravity retaining walls with the pattern of pure rotation. In the framework of upper bound theorem of limit analysis, pseudo-static method was applied into two groups of parallel rigid soil slices methods in order to account for the effect of embedment depth on evaluating the critical acceleration of wall-soil system. The present analytical solution is identical to the results obtained from using limit equilibrium method, and the two methods are based on different theory backgrounds. Parameter analysis indicates that the critical acceleration increases slowly when the ratio of the embedment depth to the total height of the wall is from 0 to 0.15 and increases drastically when the ratio exceeds 0.15. 展开更多
关键词 gravity retaining wall embedment depth seismic rotational stability upper bound analysis parallel rigid soil slices
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Structural Research on Embedment of a Bare Deflated Spiral Case 被引量:2
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作者 WU Hegao SHEN Yan JIANG Kuichao 《Wuhan University Journal of Natural Sciences》 CAS 2007年第2期311-316,共6页
Complete bearing spiral case has not been applied to large power stations in China so far. The proposal of applying complete bearing spiral case necessitates an analysis of the reliability of the spiral case structure... Complete bearing spiral case has not been applied to large power stations in China so far. The proposal of applying complete bearing spiral case necessitates an analysis of the reliability of the spiral case structure and the security of units under various working conditions. In combination with practice of a project, this paper presents a three-dimensional nonlinear finite element static analysis of the concrete using a concrete smeared crack model by means of the well-known finite element method (FEM) software ABAQUS. The stress distribution of the spiral case and reinforcing bars, the range of damages in surrounding concrete, and the displacement of structure are quantified. The computational results indicate that the embedment method ensures the structure's safety in strength. At the same time, the result shows that this embedment is a kind of preponderant method for embedment in aspects of economy and technique of construction, and the application of this embedment method to the hydropower station is feasible provided that some proper engineering measures are taken to constrain the width of the concrete in accord with the code's requirements. The paper proves the security and reliability of the structural design of spiral case in hydropower station accordingly. 展开更多
关键词 HYDRAULIC strength and deformation nonlinear FEM embedment of a bare deflated spiral cases ABAQUS
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Calculation method of proppant embedment depth in hydraulic fracturing 被引量:1
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作者 CHEN Ming ZHANG Shicheng +5 位作者 LIU Ming MA Xinfang ZOU Yushi ZHOU Tong LI Ning LI Sihai 《Petroleum Exploration and Development》 2018年第1期159-166,共8页
For the issue of proppant embedment in hydraulic fracturing,a new calculation method of embedment depth considering elastic-plastic deformation was proposed based on the mechanism of proppant embedment into rocks by c... For the issue of proppant embedment in hydraulic fracturing,a new calculation method of embedment depth considering elastic-plastic deformation was proposed based on the mechanism of proppant embedment into rocks by combining proppant embedment constitutive equations and contact stresses on the rock-proppant system.And factors affecting embedment depth of proppant were analyzed using the new method.Compared with the elastic embedment model,the results calculated by the new method match well with the experimental data,proving the new method is more reliable and more convenient to make theoretical calculation and analysis.The simulation results show the process of proppant embedment into rocks is mainly elastic-plastic.The embedment depth of monolayer proppants decreases with higher proppant concentration.Under multi-layer distribution conditions,increasing the proppant concentration will not change its embedment depth.The larger the proppant embedment ratio,the more the stress-bearing proppants,and the smaller the embedment depth will be.The embedment depth under higher closure stress is more remarkable.The embedment depth increased with the drawdown of fluid pressure in the fracture.Increasing proppant radius or the ratio of proppant Young’s modulus to rock Young’s modulus can reduce the proppant embedment depth. 展开更多
关键词 hydraulic FRACTURING PROPPANT embedment DEPTH CONSTITUTIVE equation contact stress ELASTIC-PLASTIC deformation PROPPANT concentration
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Computation model of proppant embedment depth based on dimensional analysis
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作者 Cong LU Jian-Chun GUO 《Journal of Coal Science & Engineering(China)》 2013年第4期483-487,共5页
Hydraulic fracturing is designed to form a high-conductivity fracture. The proppant will embed into the formation rock, especially in soft rock, owing to the interaction between proppant and fracture surface after fra... Hydraulic fracturing is designed to form a high-conductivity fracture. The proppant will embed into the formation rock, especially in soft rock, owing to the interaction between proppant and fracture surface after fracture closure. Proppant embedment would reduce the fracture width and then lower the fracture conductivity. According to dimensional analysis, the rock is assumed to be an elastic material. Using the theory of elasticity to describe the stage of elastic deformation and analysis of the corresponding simplified embedding process, the study establish the static computation model of the two-dimensional infinite half plane and three-dimensional infinite half space model of the proppant embedment. According to laboratory results, the calculation model was modified, got an effective correction factor and analyzed the causes of errors, then discussed the factors which have impact on proppant embedment. The result calculated by the model in this paper can be reference of prop- pant optimization in on-site fracturing for a certainty degree. 展开更多
关键词 proppant embedment DIMENSION theory of elasticity EXPERIMENT MODEL
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Techno-ethics Embedment: A New Trend in Technology Assessment
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作者 Lumeng Jia 《Journal of Philosophy Study》 2017年第8期430-436,共7页
Facing the ethical potentials of technology, there appears a new trend in technology assessment (TA) recently, which is techno-ethics embedment that aims embed ethical perspectives within the process of assessing an... Facing the ethical potentials of technology, there appears a new trend in technology assessment (TA) recently, which is techno-ethics embedment that aims embed ethical perspectives within the process of assessing and developing new technologies. There are two basic dimensions of this trend: the role of ethics and the status of technology. By referring these dimensions, I articulate two different TA modes of the techno-ethics embedment: One is the ethical technology assessment (eTA) that appears as a combination of an ethical judge with the objective technological force, while the other is the combination of an engaged ethical participant with an active technological mediator. Moreover, there is an ideal status of this trend that is an engaged ethical participant with an active technological mediator. As the thought of technology accompaniment shows, both the "agency" of human and technology will be embodied to the most in this ideal status of techno-ethics embedment. 展开更多
关键词 technology assessment techno-ethics embedment technology accompaniment
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Morphological features of allogenic nerve segment in rats after subcutaneous embedment
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作者 Mingtang Gao Dianming Jiang 《Neural Regeneration Research》 SCIE CAS CSCD 2006年第1期50-52,共3页
BACKGROUND : Some studies demonstrate that allogenic peripheral nerve segment embedded subcutaneously significantly reduce the infiltration of lymphocyte and decrease immunological reaction.OBJECTIVE : To observe th... BACKGROUND : Some studies demonstrate that allogenic peripheral nerve segment embedded subcutaneously significantly reduce the infiltration of lymphocyte and decrease immunological reaction.OBJECTIVE : To observe the gross shape, optical and electron microscope results of allogenic nerve segment in rats 2 weeks after subcutaneous embedment, and compare with subcutaneous emdedment of autologous nerve segment. DESIGN : A randomized and controlled experiment.SETTING : Department of Orthopaedics of Fifth People's Hospital of Zhengzhou; Department of Orthopaedics,First Hospital Affiliated to Chongqing Medical University.MATERIALS : Totally 30 adult healthy Wistar male rats, with body mass of (200±20) g, were enrolled. Ten rats were chosen as the donors of allogenic nerve transplantation. The other 20 rats were randomly divided into 2 groups: allogenic nerve embedment group and autologous nerve embedment group, with 10 rats in each one. JEM-1220 transmission electron microscope (Japan) and Olympus BX50 optical microscope (Japan) were used. METHODS : This experiment was carried out at the laboratory of Orthopaedic Department, Chongqing Medical University from October 2000 to April 2002. ① Sciatic nerve of donor rats for allogenic nerve transplantation was cut off at 5 mm distant from pelvic strait.15 mm sciatic nerve segment was chosen from lateral part as graft, allogenic nerve embedment group: 15 mm sciatic nerve form the donor rats was embedded in the posterior part of right legs. Autologous nerve embedment group: 15 mm sciatic nerve segment of autologous left side was embedded in the posterior side of right legs. ② Nerve segment embedded subcutaneously was taken out at postoperative 2 weeks and performed gross observation; then 5 samples chosen randomly respectively from 2 groups and given haematoxylin-eosin staining and observation under optical microscope (×400);The other 5 samples were made into ultrathin sections (0.5μm)and observed under transmission electron microscope(×17 000). MAIN OUTCOME MEASURES : Gross shape, optical and electron microscope results of nerve segments of rats between two groups at 2 weeks after subcutaneous embedment. RESULTS : ① Results of gross observation: Appearance of nerve segment was similar between 2 groups. ② Results of optical observation: medullary sheath denaturation, axonotmesis, vascular engorgement, desmoplasia of adventitia and infiltration of inflammatory cells were all found in both 2 groups. Inflammatory reaction was a little more severe in the allogenic nerve embedment group than in the autologous nerve embedment groups.③Results of electron microscope : Similar cataplasia and denaturation of medullary sheath and cataplasia of Schwann cell were all found in the 2 groups. CONCLUSION: Some inflammatory reaction occurs after allogenic nerve embedment, but the activity of Schwann cell is similar to that of peripheral nerve after autologous nerve embedment. 展开更多
关键词 Morphological features of allogenic nerve segment in rats after subcutaneous embedment
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Embedment Effect on Eliminating Damage of CFRP Pull-riveting Process by Simulation Study
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作者 Yiqi WANG Zhiwei CONG +2 位作者 Guang XIAO Yongjie BAO Hang GAO Key 《Mechanical Engineering Science》 2021年第1期39-49,共11页
The rivet joints have been widely applied in aerospace and vehicle fields.During the joining process of the carbon fiber reinforced plastic(CFRP)laminates,the pre-tightening force of pulling-rivet was the key factor t... The rivet joints have been widely applied in aerospace and vehicle fields.During the joining process of the carbon fiber reinforced plastic(CFRP)laminates,the pre-tightening force of pulling-rivet was the key factor to ensure the connection performance.To predict the impact of clamping loads on stress and failure of laminates,the value of stress and damage evolution of the wall of a hole under the pre-tightening force were simulated by the finite element method.The results of the simulation showed that excessive clamping force led to the damage and failure of CFRP in the hole edge.Connection performance together with progressive failure process and failure modes of CFRP laminates with various pre-tightening forces were investigated.A kind of metal embedded parts embedded in the laminates was designed to reduce the damage by the simulation study.Simulation results showed that embedment reduced the failure and damage efficiently.The embedment reduced about 64%of the maximum stress. 展开更多
关键词 embedment effect CFRP riveted damage evolution damage removal
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On Some Embedment of Groups into Wreath Products
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作者 Enoch Suleiman Muhammed Salihu Audu 《Advances in Pure Mathematics》 2021年第2期109-120,共12页
In this paper, we showed how groups are embedded into wreath products, we gave a simpler proof of the theorem by Audu (1991) (see <a href="#ref1">[1]), also proved that a group can be embedded into the... In this paper, we showed how groups are embedded into wreath products, we gave a simpler proof of the theorem by Audu (1991) (see <a href="#ref1">[1]), also proved that a group can be embedded into the wreath product of a factor group by a normal subgroup and also proved that a factor group can be embedded inside a wreath product and the wreath product of a factor group by a factor group can be embedded into a group. We further showed that when the abstract group in the Universal Embedding Theorem is a p-group, cyclic and simple, the embedding becomes an isomorphism. Examples were given to justify the results. 展开更多
关键词 Wreath Product Direct Product HOMOMORPHISM EMBEDDING P-GROUP Cyclic Simple
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基于DCNN-Transformer模型的XSS攻击检测方法 被引量:1
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作者 何志伟 高大鹏 《信息技术》 2025年第3期93-100,共8页
为进一步提高XSS攻击的检测效果,文中提出一种基于DCNN-Transformer模型的XSS攻击检测方法。通过对收集的数据依次进行解码、规范化、分词、TF-IDF选词、构建词典和编码预处理,用于模型的训练和测试。文中提出的DCNN-Transformer模型引... 为进一步提高XSS攻击的检测效果,文中提出一种基于DCNN-Transformer模型的XSS攻击检测方法。通过对收集的数据依次进行解码、规范化、分词、TF-IDF选词、构建词典和编码预处理,用于模型的训练和测试。文中提出的DCNN-Transformer模型引入了Embedding层,还综合了一维深度卷积神经网络快速处理序列数据和Transformer模型并行处理序列数据及学习序列元素间依赖关系的能力。实验结果表明,DCNN-Transformer模型相比于LSTM、GRU、DCNN和DCNN-GRU模型,收敛速度最快且效果更优,准确率、召回率和f1值最高,模型轻量、检测速度快,综合表现显著优于其他4个模型,为XSS攻击检测提供了一个更优的方法。 展开更多
关键词 XSS攻击检测 卷积神经网络 Transformer Embedding层 TF-IDF
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Decomposition and embedment of trajectories after explosion for a birth and death process 被引量:2
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作者 杨向群 刘韶跃 《Science China Mathematics》 SCIE 2002年第9期1100-1105,共6页
Let X = X(t),t < σ (σ is lifespan) be a birth and death process with explosion whose characteristic triple is (α, C, D). For a set $\bar M \subset \bar E = \left\{ {0, 1, 2, \cdots , \infty } \right\}$ , reservi... Let X = X(t),t < σ (σ is lifespan) be a birth and death process with explosion whose characteristic triple is (α, C, D). For a set $\bar M \subset \bar E = \left\{ {0, 1, 2, \cdots , \infty } \right\}$ , reserving the trajectories before the first explosion time τ and decomposing the trajectories after τ for X according to $\bar M$ we obtain a new birth and death process $_{\bar M} X = \left\{ {_{\bar M} X\left( t \right), t < _{\bar M} \tau } \right\}$ . We calculate the average lifetime after τ for $_{\bar M} X$ and corresponding characteristic triple $\left( {_{\bar M} \alpha , _{\bar M} C, _{\bar M} D} \right)_{\bar M} X$ of $_{\bar M} X$ in terms of (α,C, D) and $\bar M$ . This means that a lot of given birth and death processes can be embedded in one and the same birth and death process. If $k \in \bar E$ and $\bar M = \left\{ k \right\}$ , we decompose X into $_k X, k \in \bar E$ . 展开更多
关键词 BIRTH and DEATH process explosion TRAJECTORY decomposition embedment character-istic triple.
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On Markov and Zariski Embeddings in a Free Group
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作者 Victor Hugo Yanez Dmitri Shakhmatov 《南开大学学报(自然科学版)》 北大核心 2025年第1期18-21,共4页
Let G be a group.The family of all sets which are closed in every Hausdorf group topology of G form the family of closed sets of a T_(1) topology M_(G) on G called the Markov topology.Similarly,the family of all algeb... Let G be a group.The family of all sets which are closed in every Hausdorf group topology of G form the family of closed sets of a T_(1) topology M_(G) on G called the Markov topology.Similarly,the family of all algebraic subsets of G forms a family of closed sets for another T_(1)topology Z_(G) on G called the Zarski topology.A subgroup H of G is said to be Markov(resp.Zarski)embedded if the equality M_(G|H)=M_(H)(resp.Z_(G|H)=Z_(H))holds.I's proved that an abirary subgroup of a free group is both Zariski and Markov embedded in it. 展开更多
关键词 free group Zariski topology Markov embedding centralizer in a free group
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On σ-c-propermutable Subgroups of Finite Groups
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作者 MA Xiaojian MAO Yuemei 《数学进展》 北大核心 2025年第3期509-517,共9页
Let G be a finite group.A subgroup H of G is said to be σ-c-propermutable in G if G has a subgroup B such that G=N_(G)(H)B and for every Hall σ_(i)-subgroup B_(i) of B,there exists an element x∈B such that HB_(i)^(... Let G be a finite group.A subgroup H of G is said to be σ-c-propermutable in G if G has a subgroup B such that G=N_(G)(H)B and for every Hall σ_(i)-subgroup B_(i) of B,there exists an element x∈B such that HB_(i)^(x)=B_(i)^(x) H.In this paper,the influence of σ-c-propermutable subgroups on the structure of finite groups is investigated,and some criteria for a normal subgroup of G to be hypercyclically embedded in G are derived. 展开更多
关键词 complete Hallσ-set σ-c-propermutable subgroup supersoluble group hypercyclically embedded
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Modified Watermarking Scheme Using Informed Embedding and Fuzzy c-Means–Based Informed Coding
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作者 Jyun-Jie Wang Yin-Chen Lin Chi-Chun Chen 《Computers, Materials & Continua》 2025年第12期5595-5624,共30页
Digital watermarking must balance imperceptibility,robustness,complexity,and security.To address the challenge of computational efficiency in trellis-based informed embedding,we propose a modified watermarking framewo... Digital watermarking must balance imperceptibility,robustness,complexity,and security.To address the challenge of computational efficiency in trellis-based informed embedding,we propose a modified watermarking framework that integrates fuzzy c-means(FCM)clustering into the generation off block codewords for labeling trellis arcs.The system incorporates a parallel trellis structure,controllable embedding parameters,and a novel informed embedding algorithm with reduced complexity.Two types of embedding schemes—memoryless and memory-based—are designed to flexibly trade-off between imperceptibility and robustness.Experimental results demonstrate that the proposed method outperforms existing approaches in bit error rate(BER)and computational complexity under various attacks,including additive noise,filtering,JPEG compression,cropping,and rotation.The integration of FCM enhances robustness by increasing the codeword distance,while preserving perceptual quality.Overall,the proposed framework is suitable for real-time and secure watermarking applications. 展开更多
关键词 WATERMARKING informed embedding fuzzy c-means informed coding
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《ChinAfrica》 2025年第6期64-64,共1页
African Lions.By GIGI ROMANO.Independently Published.In the book,Gigi Romano delivers an electrifying and deeply insightful chronicle of football’s evolution across Africa.Tracing its roots from the colonial era to t... African Lions.By GIGI ROMANO.Independently Published.In the book,Gigi Romano delivers an electrifying and deeply insightful chronicle of football’s evolution across Africa.Tracing its roots from the colonial era to the present day,this captivating narrative reveals how football transformed from a pastime introduced by foreign powers into a deeply embedded cultural force and source of immense national pride. 展开更多
关键词 source pride national pride deeply embedded colonial era evolution AFRICA FOOTBALL cultural force
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