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Admissible Linear Estimators of Multivariate Regression Coefcient with Respect to an Inequality Constraint under Balanced Loss Function
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作者 Jie WU Daojiang HE 《Journal of Mathematical Research with Applications》 CSCD 2013年第6期745-752,共8页
In this paper, the admissibility of multivariate linear regression coefficient with respect to an inequality constraint under balanced loss function is investigated. Necessary and sufficient conditions for admissible ... In this paper, the admissibility of multivariate linear regression coefficient with respect to an inequality constraint under balanced loss function is investigated. Necessary and sufficient conditions for admissible homogeneous and inhomogeneous linear estimators are obtained, respectively. 展开更多
关键词 ADMISSIBILITY inequality constraint balanced loss function homogeneous (inhomogeneous) linear estimator.
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Analyzing the Combination Effects of Repetitive Transcranial Magnetic Stimulation and Motor Control Training on Balance Function and Gait in Patients with Stroke-Induced Hemiplegia
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作者 Xiaoqing Ma Zhen Ma +2 位作者 Ye Xu Meng Han Hui Yan 《Proceedings of Anticancer Research》 2024年第1期54-60,共7页
Objective:To analyze the effects of repetitive transcranial magnetic stimulation combined with motor control training on the treatment of stroke-induced hemiplegia,specifically focusing on the impact on patients’bala... Objective:To analyze the effects of repetitive transcranial magnetic stimulation combined with motor control training on the treatment of stroke-induced hemiplegia,specifically focusing on the impact on patients’balance function and gait.Methods:Fifty-two cases of hemiplegic stroke patients were randomly divided into two groups,26 in the control group and 26 in the observation group,using computer-generated random grouping.All participants underwent conventional treatment and rehabilitation training.In addition to these,the control group received repetitive transcranial magnetic pseudo-stimulation therapy+motor control training,while the observation group received repetitive transcranial magnetic stimulation therapy+motor control training.The balance function and gait parameters of both groups were compared before and after the interventions and assessed the satisfaction of the interventions in both groups.Results:Before the invention,there were no significant differences in balance function scores and each gait parameter between the two groups(P>0.05).However,after the intervention,the observation group showed higher balance function scores compared to the control group(P<0.05).The observation group also exhibited higher step speed and step frequency,longer step length,and a higher overall satisfaction level with the intervention compared to the control group(P<0.05).Conclusion:The combination of repetitive transcranial magnetic stimulation and motor control training in the treatment of stroke-induced hemiplegia has demonstrated positive effects.It not only improves the patient’s balance function and gait but also contributes to overall physical rehabilitation. 展开更多
关键词 Stroke-induced hemiplegia Repetitive transcranial magnetic stimulation Motor control training Balance function GAIT
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Influence of cluster needling at scalp acupoints combined with rehabilitation training on balance functions of children with cerebral palsy 被引量:1
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作者 张培义 胡非非 CHEN Zheng-qiu 《World Journal of Acupuncture-Moxibustion》 2012年第4期23-26,31,共5页
Objective To observe therapeutic effects of scalp acupuncture at close acupoints combined with rehabilitation training on balance functions of children with cerebral palsy (CP). Methods Sixty children with CP were r... Objective To observe therapeutic effects of scalp acupuncture at close acupoints combined with rehabilitation training on balance functions of children with cerebral palsy (CP). Methods Sixty children with CP were randomly divided into a scalp acupuncture combined with rehabilitation training group (group SA+RT) and a rehabilitation training group (group RT) with 30 cases in each group. Conventional rehabilitation therapy and balance training were applied in group RT, and scalp acupuncture at close acupoints in the parietal region and sub-occipital region was added besides rehabilitation training in group SA+RT. Balance functions were evaluated by using Berg rating scale, and abilities of daily living were estimated by using rating scale for activities of daily living (ADL). Results After treatment, both Berg scores for balance and ADL scores were significantly improved in both groups (all P0.05), and the improvement in group SA+RT was more obvious than that in group RT ( both P0.05). Conclusion Combination of scalp acupuncture at close acupoints with rehabilitation training is superior to simple rehabilitation training in improving balance functions and activities of daily living in children with cerebral palsy. 展开更多
关键词 cerebral palsy scalp acupuncture at close acupoints rehabilitation training balance function
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Retrospective study of effect of whole-body vibration training on balance and walking function in stroke patients 被引量:10
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作者 Lei Xie Shi-Xiong Yi +2 位作者 Qi-Feng Peng Pei Liu Heng Jiang 《World Journal of Clinical Cases》 SCIE 2021年第22期6268-6277,共10页
BACKGROUND Dysfunction in stroke patients has been a problem that we committed to solve and explore.Physical therapy has some effect to regain strength,balance,and coordination.However,it is not a complete cure,so we ... BACKGROUND Dysfunction in stroke patients has been a problem that we committed to solve and explore.Physical therapy has some effect to regain strength,balance,and coordination.However,it is not a complete cure,so we are trying to find more effective treatments.AIM To observe the effect of whole-body vibration training(WVT)on the recovery of balance and walking function in stroke patients,which could provide us some useful evidence for planning rehabilitation.METHODS The clinical data of 130 stroke participants who underwent conventional rehabilitation treatment in our hospital from January 2019 to August 2020 were retrospectively analyzed.The participants were divided into whole-body vibration training(WVT)group and non-WVT(NWVT)group according to whether they were given WVT.In the WVT group,routine rehabilitation therapy was combined with WVT by the Galileo Med L Plus vibration trainer at a frequency of 20 Hz and a vibration amplitude of 0+ACY-plusmn+ADs-5.2 mm,and in the NWVT group,routine rehabilitation therapy only was provided.The treatment course of the two groups was 4 wk.Before and after treatment,the Berg balance scale(BBS),3 m timed up-and-go test(TUGT),the maximum walking speed test(MWS),and upper limb functional reaching(FR)test were performed.RESULTS After 4 wk training,in both groups,the BBS score and the FR distance respectively increased to a certain amount(WVT=46.08±3.41 vs NWVT=40.22±3.75;WVT=20.48±2.23 vs NWVT=16.60±2.82),with P<0.05.Furthermore,in the WVT group,both BBS score and FR distance(BBS:18.32±2.18;FR:10.00±0.92)increased more than that in the NWVT group(BBS:13.29±1.66;FR:6.16±0.95),with P<0.05.Meanwhile,in both groups,the TUGT and the MWS were improved after training(WVT=32.64±3.81 vs NWVT=39.56±3.68;WVT=12.73±2.26 vs NWVT=15.04±2.27,respectively),with P<0.05.The change in the WVT group(TUGT:17.49±1.88;MWS:6.79±0.81)was greater than that in the NWVT group(TUGT:10.76±1.42;MWS:4.84±0.58),with P<0.05.CONCLUSION The WVT could effectively improve the balance and walking function in stroke patients,which may be good for improving their quality of life. 展开更多
关键词 Balance function Berg balance scale Maximum walking speed test Stroke Timed up-and-go test Vibration training
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Application of"balancing digestive functions by regulating pivot"in chronic atrophic gastritis and professor Wei Wei's clinical experience 被引量:1
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作者 Yu Cong Ya-Jie Wang +5 位作者 Xiao-Lan Su Xin-Yong Mao Song Guo Si-Jing Du Yang Yang Wei Wei 《Journal of Hainan Medical University》 2021年第1期54-58,共5页
Chronic atrophic gastritis(CAG)has attracted wide attention in clinic due to its high incidence rate and high canceration rate.At present,modern medicine lacks an effective treatment scheme for CAG.Traditional Chinese... Chronic atrophic gastritis(CAG)has attracted wide attention in clinic due to its high incidence rate and high canceration rate.At present,modern medicine lacks an effective treatment scheme for CAG.Traditional Chinese medicine can improve clinical symptoms,laboratory indexes,pathological examination results and patients'quality of life for patients of CAG.Professor Wei used the method of"Balancing Digestive Functions by Regulating Pivot"to treat CAG in clinical practice.With flexible addition and subtraction on the basic prescription Banxia Xiexin decoction and coordination with various external treatment methods and psychological construction,professor Wei has achieved satisfactory clinical effects with the pungent-opening and bitter-descending method and dispersing liver and promoting blood circulation method. 展开更多
关键词 Balancing digestive functions by regulating pivot Chronic atrophic gastritis Banxia Xiexin decoction Pungent-opening and bitter-descending method Clinical experience
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Effective of exercise therapy on functional balance, physical performance and quality of life among patients undergoing hemodialysis: randomized controlled trial 被引量:2
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作者 Ahmed Lateef Alkhaqani 《Nursing Communications》 2022年第1期43-51,共9页
Background:Patients undergoing hemodialysis suffer from deteriorating physical health,impaired physical function,and have a low quality of life,that explained by insufficient metabolic clearance.To overcome these obst... Background:Patients undergoing hemodialysis suffer from deteriorating physical health,impaired physical function,and have a low quality of life,that explained by insufficient metabolic clearance.To overcome these obstacles,cost-effective strategies must be developed,including exercise as a complement to hemodialysis therapy.Objective:To determine the effectiveness of exercise therapy on functional balance,physical performance,and quality of life among patients undergoing hemodialysis:a randomized controlled trial.Methods:This randomized controlled trial study was carried out on 68 patients with chronic kidney disease undergoing hemodialysis for at least six months and had a medically stable condition who were randomly divided into training(n=32)exercise therapy and(n=31)control,groups.The training group participated in 8-week(3 sessions per week)resistance exercise therapy in three sets of 10 repetitions of knee extension,hip flexion,and hip abduction with the use of an elastic band under the supervision of a training physiotherapist and researcher during the first hour of the three routine hemodialysis treatment session per week.But the control group did not experience any intervention.To analyze the data,two-way analysis of variance and Bonferroni statistical tests were used at the significant level of(P=0.05).Results:6 Minute-Walk Test(6MWT)(0.013),and in the Physical Activity Scale for the Elderly(PASE)(0.014),and Short Survey Form 36(SF-36)questionnaires and health-related quality of life(HRQOL)(0.001)had significant improvements in the training group in comparison to the control group from pre to post-test,also physical performance(0.001)was improving as compared with control group(0.89)at(P=0.05).Conclusion:Resistance exercise therapy interventions for eight weeks effectively improve the physical function and performance,activity levels,and health-related quality of life of patients with chronic kidney disease and undergoing regular hemodialysis compared with a control group. 展开更多
关键词 functional balance HEMODIALYSIS exercise therapy physical performance
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A Class of Rotation Symmetric Boolean Functions with Optimum Algebraic Immunity 被引量:4
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作者 LI Chunlei ZENG Xiangyong +1 位作者 SU Wei HU Lei 《Wuhan University Journal of Natural Sciences》 CAS 2008年第6期702-706,共5页
For an odd integer n ≥ 7, this paper presented a class of n-variable rotation symmetric Boolean functions (RSBFs) with optimum algebraic immunity. The nonlinearity of the constructed functions is determined.
关键词 rotation symmetric Boolean functions(RSBFs) algebraic immunity NONLINEARITY balancedNESS Krawtchouk polynomial
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Intelligent identification method and application of seismic faults based on a balanced classification network
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作者 Yang Jing Ding Ren-Wei +4 位作者 Wang Hui-Yong Lin Nian-Tian Zhao Li-Hong Zhao Shuo Zhang Yu-Jie 《Applied Geophysics》 SCIE CSCD 2022年第2期209-220,307,共13页
This study combined fault identification with a deep learning algorithm and applied a convolutional neural network(CNN)design based on an improved balanced crossentropy(BCE)loss function to address the low accuracy in... This study combined fault identification with a deep learning algorithm and applied a convolutional neural network(CNN)design based on an improved balanced crossentropy(BCE)loss function to address the low accuracy in the intelligent identification of seismic faults and the slow training speed of convolutional neural networks caused by unbalanced training sample sets.The network structure and optimal hyperparameters were determined by extracting feature maps layer by layer and by analyzing the results of seismic feature extraction.The BCE loss function was used to add the parameter which is the ratio of nonfaults to the total sample sets,thereby changing the loss function to find the reference of the minimum weight parameter and adjusting the ratio of fault to nonfault data.The method overcame the unbalanced number of sample sets and improved the iteration speed.After a brief training,the accuracy could reach more than 95%,and gradient descent was evident.The proposed method was applied to fault identification in an oilfield area.The trained model can predict faults clearly,and the prediction results are basically consistent with an actual case,verifying the effectiveness and adaptability of the method. 展开更多
关键词 convolutional neural network seismic fault identification balanced cross-entropy loss function feature map
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The effect of baduanjin exercise in rehabilitation for functional ankle instability:A study protocol for a randomized controlled pilot trial
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作者 Li ZHOU Juanjuan AI +5 位作者 Qingwen GENG Kuangshi LI Yiting SUN Ruyu YAN Diyang LYU Zongheng LI 《Journal of Integrative Nursing》 2021年第2期85-92,共8页
Introduction:Patients with functional ankle instability(FAI)have problems with joint control,balance,gait,and postural symmetry.Baduanjin is a type of traditional Chinese exercise that has been shown to be effective i... Introduction:Patients with functional ankle instability(FAI)have problems with joint control,balance,gait,and postural symmetry.Baduanjin is a type of traditional Chinese exercise that has been shown to be effective in treating many diseases and symptoms.However,to date,the effect of Baduanjin in patients with FAI has not been proved.This pilot trial is an assessor-blinded randomized controlled trial,and its objective is to study the efficacy and safety of Baduanjin on the rehabilitation of patients with FAI.Methods:Seventy-two participants,who are eligible according to specified inclusion and exclusion criteria,will be randomized(in a 1:1 ratio),using a random number table,into two groups:a Baduanjin group and a conventional treatment group.The Baduanjin group will be subjected to the Baduanjin exercise in addition to the conventional treatment therapy.Participants’exercise programs will be implemented for 4 weeks(5 days a week).All participants will be assessed at baseline,and after two and 4 weeks of treatment.The surface electromyography results of the bilateral erector spinae,tibialis anterior,and peroneus longus will be the primary outcomes,while the balance function under different conditions and the level of FAI in daily life measured using the Cumberland Ankle Instability Tool will be the secondary outcomes.Ethics and Dissemination:The trial has been approved by the Research Ethical Committee of Dongzhimen Hospital,the First Affiliated Hospital of Beijing University of Chinese Medicine(no.DZMEC-KY-2019-18),and it will follow the principles of the Consolidated Standards of Reporting Trials statements as well as the Declaration of Helsinki.The findings of this study will be submitted for publication in peer-reviewed journals.The results will also be disseminated to the participants via phone calls or e-mail. 展开更多
关键词 BADUANJIN balance function functional ankle instability surface electromyography
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Application of Balance Training Combined with Traditional Chinese Medicine in Improving the Balance Function of Elderly Diabetic Peripheral Neuropathy Patients
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作者 WANGJun 《外文科技期刊数据库(文摘版)医药卫生》 2022年第3期055-059,共5页
Objective: to explore the effect of balance training combined with traditional Chinese medicine on improving the balance function of elderly diabetic peripheral neuropathy. Methods: 70 cases of senile diabetic periphe... Objective: to explore the effect of balance training combined with traditional Chinese medicine on improving the balance function of elderly diabetic peripheral neuropathy. Methods: 70 cases of senile diabetic peripheral neuropathy were selected from department of endocrinology in Jiangsu Provincial Traditional Chinese Medicine Hospital from October 4, 2021 to February 4, 2022. Two groups of patients were given conventional treatment. According to the odd even number of patients, the even number of 35 cases was given balance training, and odd 35 cases were given balance training combined with TCM function. Results: the symptom scores of lower limb fatigue, lower limb numbness, paresthesia and walking balance after treatment were lower than those before treatment. The symptom scores of lower limb fatigue, lower limb numbness, paresthesia and walking balance in odd group were lower than those in even groups. The statistical verification results showed that the predicted value was P < 0.05;after treatment, the scores of training importance, skill mastery and compliance behavior of patients were higher than those before treatment. The scores of training importance, skill mastery and compliance behavior of patients in odd group were higher than those in even group. The statistical verification results showed that the predicted value was p < 0.05;according to the self-designed survey form of treatment effect satisfaction, the self-evaluation effect of odd group patients was poor in 1 case, excellent in 24 cases and fair in 10 cases. The statistical verification results of satisfaction showed that the predicted value was p < 0.05. Conclusion: balance training combined with TCM method can effectively improve the lower limb symptoms of elderly patients with diabetic peripheral neuropathy, improve their training compliance, mobilize patients' subjective initiative, improve their balance function and improve their satisfaction with treatment. 展开更多
关键词 balance training traditional Chinese medicine aged diabetic peripheral neuropathy balance function
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Effect of Cognitive-motor Dual Task Training on Balance Function and Daily Living Ability in Stroke Patients
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作者 LI Miao LI Jiajun +2 位作者 LI Xin FU Xiaohui LIU Junjie 《外文科技期刊数据库(文摘版)医药卫生》 2021年第9期573-576,共7页
Objective: to investigate the effects of cognitive-motor dual task training on balance function and Activities of daily living (ADL) in stroke patients, so as to improve the quality of life and adaptability of stroke ... Objective: to investigate the effects of cognitive-motor dual task training on balance function and Activities of daily living (ADL) in stroke patients, so as to improve the quality of life and adaptability of stroke patients after returning to community life. Methods: a total of 48 stroke patients who were hospitalized in Beijing Rehabilitation Hospital of Capital Medical University from October 2020 to April 2021 and met the inclusion and exclusion criteria were randomly divided into intervention group (n=24) and control group (n=24). The control group received routine rehabilitation training. The intervention group received cognitive-motor dual task training on the basis of routine rehabilitation training, and the training time and frequency were the same for the two groups. The intervention training lasted for 8 weeks. Changes in patients' balance function and ADL were assessed before and after 8 weeks of intervention, including Berg Balance Scale, Fugl-Meyer Balance Scale and ADL score. Changes in scores of each test were recorded for statistical analysis. Results: after the end of the experiment, intervention group 2 and control group all completed the study 8 weeks after intervention, intervention group and control group showed significant improvement in the three tests compared with before intervention. When standing up while sitting and standing without support, the Berg balance scale score of intervention group was significantly higher than that of control group. Fugl-Meyer and ADL scores of the intervention group under the dual task were significantly higher than those of the control group. After three tests, statistical analysis showed that the differences were statistically significant (P <0.05). Conclusion: the cognitive-motor dual task training can improve the balance function and ADL of stroke patients, and the dual task training combined with the routine rehabilitation training is more conducive to the recovery of balance function of patients, so as to improve the ADL. 展开更多
关键词 stroke cognitive-motor dual task training balance function ADL
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Effect of Early Rehabilitation Treatment on Upper and Lower Limb Function Recovery and Daily Life Ability in Acute Stroke Hemiplegia Patients
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作者 FENGHaitao 《外文科技期刊数据库(文摘版)医药卫生》 2022年第7期129-132,共4页
Objective: to use early rehabilitation treatment for the patients with acute stroke hemiplegia, to observe and analyze its impact on the upper and lower limb function recovery and daily life ability. Methods: in June ... Objective: to use early rehabilitation treatment for the patients with acute stroke hemiplegia, to observe and analyze its impact on the upper and lower limb function recovery and daily life ability. Methods: in June 2021-June 2022 for intercept research time interval, a total of 60 cases of acute stroke hemiplegia, random principle specification grouping, control group received 30 cases of routine treatment, observation group received 30 cases of early rehabilitation treatment, around the upper and lower limb function assessment score, daily life ability evaluation score, balance function, cognitive function scale evaluation score and complication rate data line to compare. Results: before the treatment work, the evaluation results, daily life ability, balance function, and cognitive function evaluation results showed no difference (P> 0.05), and the results were higher (P <0.05);for the complication rate, the observation group showed lower results (P <0.05). Conclusion: for acute stroke cases, early rehabilitation treatment, which can improve the function of upper and lower limbs, strengthen their living ability, balance function and cognitive function, and prevent complications in patients, which is worthy of clinical application. 展开更多
关键词 early rehabilitation treatment acute stroke and hemiplegia patients upper and lower limb function recovery daily living ability balance function cognitive function complication rate
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Observation of the Effect of Gait-induced Functional Electrical Stimulation on Stroke Patients with Foot Drop
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作者 Anqi Zhang Mengjiao Wu +3 位作者 Luxi Mao Qianhuan Zhang Bingqian Zhou Jingxin Wang 《Journal of Advances in Medicine Science》 2022年第1期12-18,共7页
Objective:To explore the effects of functional electrical stimulation and functional mid frequency electrical stimulation on lower limb function and balance function in stroke patients.Methods:20 cases of stroke patie... Objective:To explore the effects of functional electrical stimulation and functional mid frequency electrical stimulation on lower limb function and balance function in stroke patients.Methods:20 cases of stroke patients with foot drop after admission were randomly divided into the observation group and the control group,10 cases in each group.On the basis of the two groups of patients,the observation group used the gait induced functional electrical stimulation to stimulate the peroneal nerve and the pretibial muscle in the observation group.The control group used the computer medium frequency functional electrical stimulation to stimulate the peroneal nerve and the anterior tibial muscle for 2 weeks.Before and after treatment,the lower extremity simple Fugl-Meyer scale(FMA),the Berg balance scale(BBS)and the improved Ashworth scale were evaluated respectively,and the comparative analysis was carried out in the group and between the groups.Results:After 2 weeks of treatment,the scores of FMA and BBS in the two groups were significantly higher than those before the treatment(P<0.05),and the scores of FMA and BBS in the observation group were higher than those in the control group(P<0.05),and the flexor muscle tension of the ankle plantar flexor muscle of the observed group was lower than that of the control group(P<0.05).Conclusions:Exercise therapy combined with gait induced functional electrical stimulation or computer intermediate frequency functional electrical stimulation can significantly improve lower limb function and balance function in patients with ptosis,and the therapeutic effect of functional electrical stimulation combined with gait is better. 展开更多
关键词 Foot drop functional electrical stimulation Lower limb function Balance function
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Reserve evaluation of high pressure and ultra-high pressure reservoirs with power function material balance method 被引量:1
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作者 Sun Hedong Wang Hongyu +6 位作者 Zhu Songbai Nie Haifeng Liu Yang Li Yuanjie Li Songlin Cao Wen Chang Baohua 《Natural Gas Industry B》 2019年第5期509-516,共8页
It is difficult to determine the effective reservoir rock compressibility,aquifer volume and water influx of high pressure and ultra-high pressure gas reservoirs,so when the traditional apparent reservoir pressure and... It is difficult to determine the effective reservoir rock compressibility,aquifer volume and water influx of high pressure and ultra-high pressure gas reservoirs,so when the traditional apparent reservoir pressure and cumulative gas production curve extrapolation method and its modified version are used to calculate the initial gas in-place of such gas reservoirs,the calculation accuracy is lower.The material balance equation in the form of power function for such gas reservoirs was established based on Gonzalez method to improve the accuracy and reliability of reserve evaluation.Then,based on 20 high pressure and ultra-high pressure reservoirs that had been developed abroad,the empirical value of the power exponent was defined,and the influences of the depletion degree of apparent reservoir pressure and the degree of reserve recovery on the reliability of reserve calculation were analyzed.Besides,the critical value of the key parameter affecting the reliability of reserve evaluation(depletion degree of apparent reservoir pressure)was determined and compared with the critical value of the two-linear trends.Finally,an example calculation was carried out.And the following research results were obtained.First,the empirical value of the power exponent calculated using the material balance method in the form of power function is 1.02847,with an upper limit of 1.11567.Second,the depletion degree of apparent reservoir pressure corresponding to the inflection point of the classical two-linear trends ranges from 0.14 to 0.38 with an average of 0.23,while that corresponding to the extrapolation point of the second straight line is between 0.23 and 0.50 with an average of 0.33,and the corresponding degree of reserve recovery is in the range of 33%-65%with an average of 45%.Third,the reserves of such high pressure gas reservoirs calculated with this new method has an error rate less than 10%if the depletion degree of apparent reservoir pressure is greater than 0.33.In conclusion,for such high pressure gas reservoirs and the stress-sensitive fractured gas reservoirs,the material balance method in the form of power function proposed in this paper can avoid the uncertainty parameters(e.g.effective reservoir rock compressibility,aquifer volume and water influx)and it is advantageous with simple calculation process,better practicability and small error. 展开更多
关键词 High pressure and ultra-high pressure gas reservoir Reservoir Effective rock compressibility Depletion degree of apparent reservoir pressure Cu-mulative gas production Material balance method in the form of power function Initial gas in-place
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任意偶变元上代数免疫度最优的平衡旋转对称布尔函数的构造
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作者 赵庆兰 李盼 +2 位作者 郑东 李梦苒 张建东 《密码学报(中英文)》 CSCD 北大核心 2024年第4期924-944,共21页
旋转对称布尔函数是一类在输入进行循环移位的条件下输出保持不变的布尔函数.此类函数因具有特殊的结构并且包括许多具有良好密码学性质的布尔函数而在密码学领域受到广泛关注.在代数攻击出现之后,如何构造出具有最优代数免疫度的平衡... 旋转对称布尔函数是一类在输入进行循环移位的条件下输出保持不变的布尔函数.此类函数因具有特殊的结构并且包括许多具有良好密码学性质的布尔函数而在密码学领域受到广泛关注.在代数攻击出现之后,如何构造出具有最优代数免疫度的平衡旋转对称布尔函数成为布尔函数相关研究中的一个热点问题.对于这个问题的研究,在任意奇数变元上已经有了丰富的成果,而在任意偶变元上构造此类函数一直以来都是一件具有挑战性的工作.2021年,Mesnager等人提出了一类构造方法成功解决了这个难题,但所构造函数的非线性度不高.本文在任意偶变元n上给出了一类新的旋转对称布尔函数构造方法,所构造的函数不仅具有最优代数免疫度和平衡性,同时其非线性度在变元个数n大于等于8时均高于现有的任意偶变元上的同类构造.除此之外,通过电脑程序得到了这类新函数在变元个数小于等于16时不仅具有良好的抵抗快速代数攻击的能力而且代数次数可达到最高值n−1或次高值n−2. 展开更多
关键词 旋转对称布尔函数 代数次数 代数免疫度 平衡性 非线性度
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布尔函数非线性度界的问题 被引量:3
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作者 郑连清 张串绒 +2 位作者 董庆宽 傅晓彤 肖国镇 《西安电子科技大学学报》 EI CAS CSCD 北大核心 2003年第2期281-283,共3页
对目前有关布尔函数非线性度的界已有结果作了较全面的比较和分析,指出关于非线性度的界尚需解决的问题.尤其对满足平衡性、相关免疫性和同时满足平衡相关免疫性函数的非线性度的界分别进行了研究,利用非线性度和相关免疫阶之间的关系,... 对目前有关布尔函数非线性度的界已有结果作了较全面的比较和分析,指出关于非线性度的界尚需解决的问题.尤其对满足平衡性、相关免疫性和同时满足平衡相关免疫性函数的非线性度的界分别进行了研究,利用非线性度和相关免疫阶之间的关系,给出相关免疫函数非线性度的一种新的上界. 展开更多
关键词 布尔函数 非线性度 密码学 平衡性 相关免疫性
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基于两类重要函数的非线性组合函数 被引量:1
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作者 张串绒 肖鸿 肖国镇 《西安电子科技大学学报》 EI CAS CSCD 北大核心 2002年第1期138-141,共4页
Bent函数和不重复齐次k次函数是两类重要的布尔函数 ,研究了这两类函数的密码特性 ,介绍了Bent函数的构造 ;并以Bent函数和不重复齐次 k次函数为基础 。
关键词 BENT函数 不重复齐次k次函数 平衡性 非线性度 相关免疫性 非线性组合函数 密码学
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平衡相关免疫函数的特征和结构 被引量:2
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作者 张串绒 王国正 肖国镇 《陕西师范大学学报(自然科学版)》 CAS CSCD 北大核心 2001年第4期9-12,共4页
研究了平衡相关免疫函数的特征和结构 .用频谱理论和重量分析方法 ,给出了平衡相关免疫函数的Walsh谱特征和重量特征 ;分析和介绍了几类重要平衡相关免疫函数的结构 。
关键词 密码学 平衡性 相关免疫性 WALSH谱 平衡相关免疫函数 重量特征 密码函数
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用级联方法构造高阶相关免疫函数 被引量:1
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作者 王章雄 燕子宗 《荆州师专学报》 2001年第2期41-43,共3页
相关免疫函数在密码通信、计算机安全等诸多领域有着广泛的应用 .自TSiegen thaler提出该概念以来 ,找到简便易行的构造相关免疫函数的方法一直是一个十分活跃的研究领域 .本文用级联的方法 ,从低阶相关免疫函数来构造高阶的相关免疫函... 相关免疫函数在密码通信、计算机安全等诸多领域有着广泛的应用 .自TSiegen thaler提出该概念以来 ,找到简便易行的构造相关免疫函数的方法一直是一个十分活跃的研究领域 .本文用级联的方法 ,从低阶相关免疫函数来构造高阶的相关免疫函数 ,由此得到几种构造任何阶相关免疫函数的简便方案 ,推广了文献 [4。 展开更多
关键词 相关免疫函数 平衡性 级联 WALSH变换 密码通信
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素域GF(p)上旋转对称函数的性质
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作者 元彦斌 赵亚群 +1 位作者 郑兴 郭威 《电子与信息学报》 EI CSCD 北大核心 2009年第12期2901-2906,共6页
该文给出了素域上旋转对称函数的Chrestenson循环谱特征和自相关函数特征,根据旋转对称函数的多项式所具备的特点,通过构造相应的关联矩阵,将旋转对称函数的真值表,简化代数标准型和Chrestenson循环谱联系起来,并由此给出了旋转对称函... 该文给出了素域上旋转对称函数的Chrestenson循环谱特征和自相关函数特征,根据旋转对称函数的多项式所具备的特点,通过构造相应的关联矩阵,将旋转对称函数的真值表,简化代数标准型和Chrestenson循环谱联系起来,并由此给出了旋转对称函数满足平衡性、相关免疫性、稳定性等密码学性质的充分必要条件。 展开更多
关键词 密码学 旋转对称函数 Chrestenson循环谱 自相关函数 平衡性 相关免疫性 广义BENT函数
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