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JOINT HOLDER CONTINUITY OF PARABOLIC ANDERSON MODEL 被引量:1
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作者 Yaozhong HU Khoa Lê 《Acta Mathematica Scientia》 SCIE CSCD 2019年第3期764-780,共17页
We obtain the H?lder continuity and joint H?lder continuity in space and time for the random field solution to the parabolic Anderson equation ■ in d-dimensional space, where ■ is a mean zero Gaussian noise with tem... We obtain the H?lder continuity and joint H?lder continuity in space and time for the random field solution to the parabolic Anderson equation ■ in d-dimensional space, where ■ is a mean zero Gaussian noise with temporal covariance γ0 and spatial covariance given by a spectral density μ(ξ). We assume that ■ and ■ , where αi, i = 1, · · ·, d(or α) can take negative value. 展开更多
关键词 Gaussian process stochastic heat equation parabolic Anderson model multiplicative noise chaos expansion HYPERCONTRACTIVITY H?lder continuity joint holder continuity
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扩散系数Holder连续的随机微分方程的截断Euler-Maruyama方法
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作者 吕林峰 孟雪井 《应用数学》 北大核心 2024年第2期391-402,共12页
本文研究漂移系数超线性增长和扩散系数Holder连续的随机微分方程的截断Euler-Maruyama方法的强收敛性.研究结果显示强收敛率依赖于Holder指数.本文给出一个例子验证所得的结果.
关键词 截断EM方法 强收敛率 holder连续
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HOLDER CONTINUITY AND DIFFERENTIABILITY ON CONVERGING SUBSEQUENCES
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作者 Volker Elling 《Acta Mathematica Scientia》 SCIE CSCD 2012年第1期75-83,共9页
It is shown that an arbitrary function from D Rn to Rm will become C0,a-continuous in almost every x∈ D after restriction to a certain subset with limit pointx. For n 〉 m differentiability can be obtained. Example... It is shown that an arbitrary function from D Rn to Rm will become C0,a-continuous in almost every x∈ D after restriction to a certain subset with limit pointx. For n 〉 m differentiability can be obtained. Examples show the Ho1der exponent a=min{1,n/m}is optimal. 展开更多
关键词 Ho1der continuity Lipschitz continuity DIFFERENTIABILITY RESTRICTION weaksolution
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Minkowski容量参数化下SLE8的Holder连续性
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作者 梁静 《延边大学学报(自然科学版)》 CAS 2024年第3期1-6,共6页
在已知κ∈(0,4]时,SLE_(κ)曲线η不是局部d/1−Holder连续基础之上,研究了SLE8的Holder连续性问题.通过运用Koebe失真定理和Radon-Nikodym导数,分析将双边全平面SLE_(κ)的曲线η(在d维Minkowski容量参数下)转变为指数为d 1的带有固定... 在已知κ∈(0,4]时,SLE_(κ)曲线η不是局部d/1−Holder连续基础之上,研究了SLE8的Holder连续性问题.通过运用Koebe失真定理和Radon-Nikodym导数,分析将双边全平面SLE_(κ)的曲线η(在d维Minkowski容量参数下)转变为指数为d 1的带有固定增量的自我相似过程.同时,证明了带有固定增量的自我相似SLE8曲线η,在任意开区间上都不是d/1−Holder连续的,即SLE8曲线η在任意开区间上不是d/1−Holder连续的.研究结果可为SLE8的Holder连续性研究提供参考. 展开更多
关键词 Minkowski容量 参数化 holder连续 停时
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THE HOLDER CONTINUITY OF GENERALIZED SOLUTIONS OF A CLASS QUASILINEAR PARABOLIC EQUATIONS
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作者 王向东 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1998年第6期573-583,共11页
Let A and B satisfy the structural conditions (2), the local Holder continuity interior to Q = G X (0, T) is proved for the generalized solutions of quasilinear parabolic equations as follows: u(t) - divA(x, t, u, del... Let A and B satisfy the structural conditions (2), the local Holder continuity interior to Q = G X (0, T) is proved for the generalized solutions of quasilinear parabolic equations as follows: u(t) - divA(x, t, u, del u) + B(x, t, U, del u) = 0. 展开更多
关键词 parabolic equation natural growth condition generalized solution local holder continuity
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Continuity of Care in Primary Health Care Affecting Control of Diabetes
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作者 Raneem Alshahrani Ibtihaj Alawadh +1 位作者 Abdulelah Al Namlah Alia Hussain Zawawi 《International Journal of Clinical Medicine》 CAS 2024年第10期457-464,共8页
Background: Continuity of care is a distinguishing feature of primary care. Better continuity of care program showed a significant effect in controlling diabetes and it is complications. This study explores the effect... Background: Continuity of care is a distinguishing feature of primary care. Better continuity of care program showed a significant effect in controlling diabetes and it is complications. This study explores the effect of continuity of care on control of diabetes mellites in primary health care centres. Objectives: 1) To assess the effect of Continuity of care on controlling haemoglobin (Hb A1C) and fasting blood Sugar (FBS);2) To compare the control of Diabetes by using (Hb A1C and FBS) indices on same patient before and after application of chronic illness clinic;3) To identify the relation between age and gender affecting continuity of care in diabetic patient. Methods: It is a Prospective cohort study design. Included both gender and diabetic patient age above 24 years old. The data extracted from health care specialty center (HCSC) clinics in National guard hospital at Riyadh, through HCSC data base on three phases: 1) Phase 1: the data extracted of diabetic patients from October to November 2022 including MRN, diabetic patient, age, Hb A1C, Fasting blood glucose. 2) Phase 2: the same MRN extracted from phase 1 was extracted again retrospectively for six months from April to September 2022, to compare the indices before implanting the chronic illness clinic including Hb A1C, Fasting blood glucose. 3) Phase 3: prospectively from December 2022 to September 2023. Results: Among diabetic patients aged 60 years old and above showed better control of HbA1C and FBS comparing to these patients below age of 60 years old, with significant improvement of HbA1C after implanting chronic illness clinic. Conclusion: The significant improvement in the control of diabetic patients followed in primary health care centers reinforce the evidence of the importance of continuity of care. 展开更多
关键词 continuity of Care Primary Health Care Diabetes Mellites
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Continuity of truncated Hardy-Littlewood maximal function
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作者 WANG Yidong WU Jia YAN Dunyan 《中国科学院大学学报(中英文)》 CAS CSCD 北大核心 2024年第6期721-727,共7页
This paper focuses on the continuity of the truncated Hardy-Littlewood maximal function.We first show that the truncated Hardy-Littlewood maximal function is lower semi-continuous.Then by investigating the behavior of... This paper focuses on the continuity of the truncated Hardy-Littlewood maximal function.We first show that the truncated Hardy-Littlewood maximal function is lower semi-continuous.Then by investigating the behavior of the truncated Hardy-Littlewood maximal function when the truncated parameterγchanges,we obtain an equivalent condition of the continuity of the truncated Hardy-Littlewood maximal function. 展开更多
关键词 Hardy-Littlewood maximal function TRUNCATION continuity truncated parameter
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GLOBAL CONVERGENCE OF A CAUTIOUS PROJECTION BFGS ALGORITHM FOR NONCONVEX PROBLEMS WITHOUT GRADIENT LIPSCHITZ CONTINUITY
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作者 Gonglin YUAN Xiong ZHAO Jiajia YU 《Acta Mathematica Scientia》 SCIE CSCD 2024年第5期1735-1746,共12页
A cautious projection BFGS method is proposed for solving nonconvex unconstrained optimization problems.The global convergence of this method as well as a stronger general convergence result can be proven without a gr... A cautious projection BFGS method is proposed for solving nonconvex unconstrained optimization problems.The global convergence of this method as well as a stronger general convergence result can be proven without a gradient Lipschitz continuity assumption,which is more in line with the actual problems than the existing modified BFGS methods and the traditional BFGS method.Under some additional conditions,the method presented has a superlinear convergence rate,which can be regarded as an extension and supplement of BFGS-type methods with the projection technique.Finally,the effectiveness and application prospects of the proposed method are verified by numerical experiments. 展开更多
关键词 cautious BFGS nonconvex problems Lipschitz continuity projection technique global convergence
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Analysis of the Nursing Effect of Continuity of Care on Elderly Patients with Coronary Heart Disease Unstable Angina and its Impact on Quality of Life 被引量:1
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作者 Ling Yan 《Journal of Clinical and Nursing Research》 2024年第2期185-190,共6页
Objective:To analyze the effect of using continuity of care for elderly patients with coronary heart disease(CHD)with unstable angina pectoris(UAP)and its impact on their quality of life.Methods:100 cases of elderly p... Objective:To analyze the effect of using continuity of care for elderly patients with coronary heart disease(CHD)with unstable angina pectoris(UAP)and its impact on their quality of life.Methods:100 cases of elderly patients with CHD with UAP admitted to our hospital from March 2022 to March 2023 were selected and grouped into an observation group and a control group of 50 cases each according to the randomized number table method.The nursing effect and quality of life of the observation group(continuity nursing)and the control group(routine nursing)were compared.Results:The total effective rate of nursing care was 96.00%observation group and 80.00%for the control group,and the differences were significant(χ2=6.061,P<0.05).Patients in the observation group had fewer episodes(1.42±0.21)times/week and a shorter duration(5.46±0.39)min,which were better than the control group(t=3.465,2.973;P<0.05).The depression self-rating depression scale(SDS)score(42.16±6.64)and anxiety self-rating scale(SAS)score(32.26±7.35)in the observation group were lower and the quality of life was higher as compared to that of the control group(P<0.05).Conclusion:Continuous nursing care improved the nursing effect of elderly CHD with UAP patients,promoted the alleviation of UAP symptoms,improved patient mentality,and improved their quality of life.Hence,continuous nursing care possesses significant clinical application value. 展开更多
关键词 continuity of care ELDERLY Coronary heart disease Unstable angina Nursing outcomes Quality of life
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Research on Construction of Pharmacovigilance System for Marketing Authorization Holders in China
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作者 Zhao Jiai Tian Lijuan 《Asian Journal of Social Pharmacy》 2024年第2期106-116,共11页
Objective To provide suggestions for helping marketing authorization holders(MAHs)to develop an effective and compliant pharmacovigilance system.Methods The construction strategies of pharmacovigilance system of the m... Objective To provide suggestions for helping marketing authorization holders(MAHs)to develop an effective and compliant pharmacovigilance system.Methods The construction strategies of pharmacovigilance system of the multinational pharmaceutical companies were analyzed based on the requirements of regulations and laws.Results and Conclusion There are some gaps between local and multinational pharmaceutical companies in the construction of pharmacovigilance system.We can learn from the experience of multinational pharmaceutical companies to improve the pharmacovigilance system,which includes building a sound pharmacovigilance organizational structure,establishing a series of operational system files and cultivating professional talents.MAHs of China should improve the structure of enterprise pharmacovigilance system.Besides,members of Drug Safety Committee should be department managers with higher position so that they can fulfil the responsibilities of risk assessment.If MAHs possess a large variety and quantity of products,a Drug Safety Committee should be established to ensure the timely discovery of risks.In addition,MAHs should pay attention to the implementation of related regulations and laws on pharmacovigilance and establish compliant,effective and operatable files combing with the actual operation of pharmacovigilance system.Finally,MAHs should introduce and train pharmacovigilance talents,and hire pharmacovigilance experts as consultants to solve the problem of talent shortage. 展开更多
关键词 marketing authorization holder(MAH) pharmacovigilance system good pharmacovigilance practice
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Application Effect of WeChat Platform Continuity of Care Model Based on KAP Theory on Self-Management of Stroke Patients with Hypertension
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作者 Qingjian Jiang Guangqiu Qin Li Zhang 《Journal of Clinical and Nursing Research》 2024年第4期303-310,共8页
Objective: To explore the impact of the WeChat platform continuity of care model based on the KAP (knowledge, attitudes, and practices) theory on the self-management of stroke patients with hypertension after discharg... Objective: To explore the impact of the WeChat platform continuity of care model based on the KAP (knowledge, attitudes, and practices) theory on the self-management of stroke patients with hypertension after discharge from the hospital. Methods: 62 stroke patients with hypertension discharged from the rehabilitation department of a tertiary A hospital in Nanning City, Guangxi Zhuang Autonomous Region, from October 2022 to April 2023 were sampled by convenience sampling method. Patients discharged from Rehabilitation I were included in the control group, and conventional nursing care was used;while patients discharged from Rehabilitation II were included in the observation group, and WeChat platform continuity of nursing care model based on the KAP theory was implemented. The intervention effect of the two groups was compared. Results: After 4 and 12 weeks of intervention, the diastolic and systolic blood pressure of the patients in the observation group were lower than those in the control group (P < 0.05);after 12 weeks of intervention, the rate of medication adherence and the score of adherence to hypertension treatment in the observation group were significantly higher than those in the control group (P < 0.05). Conclusion: The application of the WeChat platform continuity of care model based on KAP theory to stroke patients with hypertension can improve blood pressure, medication adherence rate, hypertension treatment adherence, and overall enhance the self-management level of these patients. 展开更多
关键词 WeChat platform STROKE HYPERTENSION continuity of care SELF-MANAGEMENT
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Clinical Study on the Effect of Continuity of Care in CICU on Improving Cognitive Function and Psychological State in Patients with Heart Failure
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作者 Jin Sang Yuqing Xie Xintong Zhu 《Journal of Clinical and Nursing Research》 2024年第10期133-139,共7页
Objective:To analyze the effect of continuity of care in the cardiac intensive care unit(CICU)on improving cognitive function and psychological state in patients with heart failure(HF).Methods:A total of 112 chronic H... Objective:To analyze the effect of continuity of care in the cardiac intensive care unit(CICU)on improving cognitive function and psychological state in patients with heart failure(HF).Methods:A total of 112 chronic HF patients admitted to the CICU of Xuzhou Traditional Chinese Medicine Hospital from July 2022 to August 2024 were selected and randomly divided into two groups using the red and blue ball method:a control group(n=56)and a study group(n=56).The control group received routine CICU nursing management,while the study group received routine CICU nursing combined with continuity of care management.Cognitive function(using the Montreal Cognitive Assessment,MoCA),psychological state(using the Self-Rating Depression Scale,SDS,and Self-Rating Anxiety Scale,SAS),and quality of life(using the Minnesota Living with Heart Failure Questionnaire,MLHFQ)were compared between the two groups.Results:After the intervention,the cognitive function scores of the study group were significantly higher than those of the control group(P<0.05).The SDS and SAS scores of the study group were significantly lower than those of the control group after the intervention(P<0.05).The quality of life in the study group was also significantly better than in the control group(P<0.05).Conclusion:CICU continuity of care can effectively improve cognitive function and psychological state in patients with HF,while also enhancing their quality of life. 展开更多
关键词 CICU continuity of care Heart failure patients Cognitive function Psychological state
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Holder连续函数空间的插值空间的不等式 被引量:6
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作者 邢家省 杨义川 《四川理工学院学报(自然科学版)》 CAS 2018年第1期69-74,共6页
考虑空间C^(m,λ)(Ω__)的完备性和所嵌入的空间的问题,对Jensen不等式给出了直接的证明方法,利用Jensen不等式给出了Holder连续函数的例子。指出当Ω是非凸集时空间C1(Ω__)不能嵌入空间C^(0,λ)(Ω__)。给出C(Ω__)和C^(0,λ)(Ω__)是... 考虑空间C^(m,λ)(Ω__)的完备性和所嵌入的空间的问题,对Jensen不等式给出了直接的证明方法,利用Jensen不等式给出了Holder连续函数的例子。指出当Ω是非凸集时空间C1(Ω__)不能嵌入空间C^(0,λ)(Ω__)。给出C(Ω__)和C^(0,λ)(Ω__)是Banach空间证明的具体表述过程,通过建立Holder连续函数空间的插值空间的不等式,给出了空间C^(0,μ)(Ω__)嵌入的空间的证明;在Ω是Rn中的有界开集条件下,应用Arzela-Ascoli定理给出了空间C^(0,μ)(Ω__)紧嵌入的空间的证明,对相关经典知识给予了新的改造表述。 展开更多
关键词 holder连续函数空间 插值不等式 嵌入定理 紧嵌入定理
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不同强度运动抑制糖尿病大鼠肾脏PI3K/AKT/mTOR信号通路改善自噬的比较
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作者 周鸿雁 张译丹 +1 位作者 季威 刘霞 《中国组织工程研究》 CAS 北大核心 2025年第11期2310-2318,共9页
背景:2型糖尿病损害肾功能。研究表明运动干预可以保护肾脏;鸢尾素可以通过抑制磷脂酰肌醇3-激酶/蛋白激酶B/雷帕霉素靶蛋白信号通路恢复自噬,保护糖尿病肾病患者的肾功能。目的:探讨运动能否通过抑制肾脏磷脂酰肌醇3-激酶/蛋白激酶B/... 背景:2型糖尿病损害肾功能。研究表明运动干预可以保护肾脏;鸢尾素可以通过抑制磷脂酰肌醇3-激酶/蛋白激酶B/雷帕霉素靶蛋白信号通路恢复自噬,保护糖尿病肾病患者的肾功能。目的:探讨运动能否通过抑制肾脏磷脂酰肌醇3-激酶/蛋白激酶B/雷帕霉素靶蛋白信号通路过度激活来恢复自噬,改善肾损伤,以及分析不同方式运动产生影响的差异。方法:将6周龄的SD大鼠随机分为空白对照组(正常大鼠)和糖尿病组,其中糖尿病组大鼠经过高脂高糖喂养加腹腔注射低剂量1%链脲佐菌素(30 mg/kg)建立2型糖尿病模型。造模成功后再将糖尿病组大鼠随机分成糖尿病模型组、中强度持续运动组和高强度间歇运动组。两个运动组大鼠分别进行8周不同强度运动干预。取材后采用葡萄糖氧化酶法检测大鼠空腹血糖,使用试剂盒检测糖化血红蛋白水平,Elisa法检测血清胰岛素浓度,计算胰岛素抵抗指数,RT-PCR检测肾组织磷脂酰肌醇3-激酶、蛋白激酶B、雷帕霉素靶蛋白、Beclin-1、podocin、nephrin的基因表达量,Western Blot检测肾组织雷帕霉素靶蛋白及自噬标记蛋白LC3-1、LC3-2、Beclin-1的蛋白表达量。结果与结论:①2型糖尿病大鼠空腹血糖和糖化血红蛋白水平极显著性升高,胰岛素抵抗水平显著上升,胰岛素水平显著下降;两种运动均能使2型糖尿病大鼠空腹血糖和糖化血红蛋白水平极显著下降,胰岛素抵抗水平显著下降,胰岛素水平显著上升;与中强度持续运动组相比,高强度间歇运动组胰岛素水平显著上升。②2型糖尿病大鼠podocin、nephrin基因表达量显著降低;两种不同形式运动均能显著提高其表达;与高强度间歇运动组相比,中等强度持续性运动组足细胞相关蛋白基因表达有进一步上升趋势,但无显著性差异。③2型糖尿病大鼠肾组织磷脂酰肌醇3-激酶、蛋白激酶B、mTORC1的mRNA及蛋白的表达量显著增加,自噬标志蛋白Beclin-1、LC3-2表达量以及LC3-2/LC3-1显著降低;两种不同形式运动均能使肾组织磷脂酰肌醇3-激酶、蛋白激酶B、mTORC1的mRNA及雷帕霉素靶蛋白蛋白的表达量显著降低,自噬标志蛋白Beclin-1、LC3-2以及LC3-2/LC3-1显著升高;与中等强度持续性运动组相比,高强度间歇运动的磷脂酰肌醇3-激酶、蛋白激酶B、mTORC1的mRNA及雷帕霉素靶蛋白的蛋白表达量有进一步下降的趋势,Beclin-1、LC3-2以及LC3-2/LC3-1有进一步升高的趋势,但仅Beclin-1有显著性差异。④结果说明2型糖尿病肾脏足细胞损伤,自噬受到抑制,与磷脂酰肌醇3-激酶/蛋白激酶B/mTORC1信号通路被异常激活密切相关。高强度间歇运动和中等强度持续性运动可以保护糖尿病肾脏,减少足细胞损伤,促进自噬恢复,这可能与运动抑制磷脂酰肌醇3-激酶/蛋白激酶B/雷帕霉素靶蛋白信号通路过度激活有关。与中等强度持续性运动相比,高强度间歇运动恢复自噬的效果呈更优趋势,但足细胞蛋白表达稍有下降。 展开更多
关键词 糖尿病肾病 足细胞 自噬 高强度间歇运动 中等强度持续性运动 PI3K AKT mTOR
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人造目标识别的小波Holder数方法 被引量:1
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作者 刘文予 朱光喜 《红外与毫米波学报》 SCIE EI CAS CSCD 北大核心 1999年第5期358-362,共5页
从分形布朗运动的平均Holder 数出发,通过分析人造目标与自然场景相对深度的差异,提出一种全新的基于小波Holder 数相对深度的人造目标识别方法,并给出了该方法用于人造目标识别的实例,通过小波变换提高抗畸变及干扰能... 从分形布朗运动的平均Holder 数出发,通过分析人造目标与自然场景相对深度的差异,提出一种全新的基于小波Holder 数相对深度的人造目标识别方法,并给出了该方法用于人造目标识别的实例,通过小波变换提高抗畸变及干扰能力,并用两幅图像作更精确的估计及结果验证.实验表明,该方法是一种有效的人造目标识别方法. 展开更多
关键词 目标识别 分形布朗运动 小波变换 holder常数
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扩散过程样本的Holder连续性及其应用 被引量:14
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作者 杨新建 《湖南师范大学自然科学学报》 CAS 1995年第2期13-18,共6页
本文讨论扩散过程样本的H lder连续性.在局部Lipschitz条件下,我们证明了扩散过程样本有类似于Brown运动样本一样的H lder连续性.进一步,我们还讨论了扩散过程样本的象与图集的Hausdroff维数.
关键词 扩散过程 连续性 随机过程
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一类Holder连续非线性系统的非线性实际观测器设计 被引量:2
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作者 傅勤 《江南大学学报(自然科学版)》 CAS 2009年第4期427-430,共4页
借助于实际稳定的定义,引入实际观测器的概念,对一类Holder连续的非线性系统进行了非线性实际观测器设计。通过对误差系统状态作线性变换,使得误差系统是全局实际稳定的,并给出仿真算例说明该结论的可行性和有效性。
关键词 holder连续非线性系统 非线性观测器 全局实际稳定
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积分形式和离散形式的Holder不等式与逆Hlder不等式的证明 被引量:3
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作者 高云天 《佳木斯大学学报(自然科学版)》 CAS 2016年第5期809-811,共3页
Hlder(赫尔德)不等式是重要的经典不等式之一,在数学诸多领域中有着重要的作用.本文通过Young(杨格)不等式证明了离散形式和积分形式的Hlder不等式,再利用离散形式和积分形式的Hlder不等式证明了离散形式与积分形式的逆Hlder不... Hlder(赫尔德)不等式是重要的经典不等式之一,在数学诸多领域中有着重要的作用.本文通过Young(杨格)不等式证明了离散形式和积分形式的Hlder不等式,再利用离散形式和积分形式的Hlder不等式证明了离散形式与积分形式的逆Hlder不等式,给出并证明了积分形式的Hlder不等式和逆Hlder不等式的一种推广形式. 展开更多
关键词 YOUNG不等式 离散形式 积分形式 holder不等式 逆不等式
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基于对称Holder系数的雷达辐射源信号特征分析 被引量:6
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作者 王海华 沈晓峰 《空间电子技术》 2010年第3期55-59,共5页
文章基于Holder系数,提出了一种改进的雷达辐射源信号脉内特征提取方法,称之为对称Holder系数法。给出了对称Holder系数的定义,描述了基于对称Holder系数的特征提取算法。可以看出对称Holder系数法包含了相像系数法,后者只是前者的一种... 文章基于Holder系数,提出了一种改进的雷达辐射源信号脉内特征提取方法,称之为对称Holder系数法。给出了对称Holder系数的定义,描述了基于对称Holder系数的特征提取算法。可以看出对称Holder系数法包含了相像系数法,后者只是前者的一种特例,且该方法相对于Holder系数法,其复杂度将减少一半。文中选择了6种典型的雷达辐射源信号进行特征提取和分类识别实验。实验结果表明,对称Holder系数在取不同类型时均获得了很好的正确识别率,并且当对称Holder系数所选取的类型不为相像系数时,可以获得更高正确识别率。 展开更多
关键词 雷达辐射源信号 对称holder系数 特征提取 分类识别
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不可微泛函拟极小问题解梯度的Holder连续性 被引量:2
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作者 梁(汲金)廷 《中山大学学报(自然科学版)》 CAS CSCD 1992年第1期106-109,共4页
本文给出一类不可微泛函拟极小问题解梯度的Holder连续性的证明。
关键词 不可微泛函 拟极小 梯度 H-连续性
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