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Jonzac Thermal Spring Water Reinforces Skin Barrier Function of Human Skin and Presents a Soothing and Regenerating Effect
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作者 Valérie Cauche Coralie Martineau +3 位作者 Giuseppe Percoco Marie Reynier Stéphanie Scalvino Laurent Peno-Mazzarino 《Journal of Cosmetics, Dermatological Sciences and Applications》 2023年第4期247-268,共22页
The skin is a formidable physical and biological barrier which communicates continuously with the outside of the body. And the stratum corneum, the outermost layer of human epidermis, plays a central role in the inter... The skin is a formidable physical and biological barrier which communicates continuously with the outside of the body. And the stratum corneum, the outermost layer of human epidermis, plays a central role in the interaction between the cutaneous tissue and the external environment. The horny layer, and more generally the whole skin layers, avoid the penetration of harmful exogenous agents, produce molecules named anti-microbial peptides which impact the composition of the cutaneous microbiota, regulate the internal corporal temperature, avoid the water loss from the inside of the body and constitute an incredible efficient anti-oxidant network. Nevertheless, nowadays, the skin is more and more solicited by the different elements of the cutaneous exposome, including atmospheric pollution and solar radiations, which can cause a dramatic acceleration of the skin ageing process. As a consequence, due to the multifunctional protective role of the skin, during the recent decade the cosmetic industry invested massively in the development of new raw materials and end-products (dermo-cosmetics) able to preserve an optimal state of the skin regarding the external environment. Based on their physical-chemical properties thermal spring waters, which are extremely rich in inorganics ions, are interesting and powerful candidates to be part, as integral component, of new efficient dermo-cosmetic formulations dedicated to protect the skin from the external stimuli. The aim of the present work was to investigate and characterize the activity of Jonzac thermal spring water on the skin. Using different models, we proved for the first time that Jonzac thermal spring water reinforces the barrier function of the skin by modulating the expression of key markers including filaggrin and human beta defensin 2 on ex vivo human skin. The ex vivo and in vivo hydration activity, by Raman spectroscopy and corneometry respectively, has been also demonstrated. We have also shown that Jonzac thermal spring water ameliorates significantly the cutaneous microrelief in vivo. To conclude, we characterize the soothing effect of Jonzac thermal spring water by the analysis of histamine release in Substance P treated skin explants and by measuring the redness of the skin following UV exposure of the skin in vivo. We observed that both parameters decreased following a preventive treatment of the skin with Jonzac thermal spring water. Taken together our results indicate that Jonzac thermal spring water is a promising and powerful dermo-cosmetic which can be used to preserve an optimal state of the cutaneous tissue. 展开更多
关键词 Jonzac Thermal Spring Water Skin Barrier Function Soothing Effect Regenerating Effect Skin Hydration isotonicity Dermo-Cosmetics Ex Vivo Explants
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Clifford分析中Isotonic函数带Haseman位移的线性边值问题 被引量:2
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作者 鄢盛勇 《广西民族大学学报(自然科学版)》 CAS 2012年第3期43-47,65,共6页
讨论了Isotonic Clifford分析中一类带Haseman位移的边值问题,利用积分方程方法和压缩不动点原理证明了问题解的存在唯一性,并给出了解的积分表达式.
关键词 CLIFFORD分析 Isotonic函数 带位移边值问题
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BTE康复训练和评估系统功能简介 被引量:5
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作者 张春水 《医疗装备》 2006年第9期1-3,共3页
本文主要介绍了美国BTE公司生产的康复系统的评估和治疗功能,并对临床和科研意义进行探讨。
关键词 等长Isometric 等张Isotonic 等速Isokinetic 变异系数(coefficient ofvariation CV)
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Clifford分析中Isotonic函数向量带位移的非线性边值问题
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作者 鄢盛勇 《南京师大学报(自然科学版)》 CAS CSCD 北大核心 2015年第4期28-31,共4页
讨论了Isotonic函数向量的一类带位移非线性边值问题,利用积分方程方法和Schauder不动点原理证明了问题解的存在性,并给出了解的积分表达式.
关键词 CLIFFORD分析 Isotonic函数向量 非线性边值问题
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Clifford分析中Isotonic函数向量的一类线性边值问题
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作者 鄢盛勇 《吉首大学学报(自然科学版)》 CAS 2013年第3期7-11,共5页
研究了Clifford分析中Isotonic函数向量的一类带位移、带共轭的线性边值问题.通过设计积分算子将边值问题转化为积分方程,借助积分方程理论和不动点原理证明了问题解的存在性,并给出解的积分表达式.
关键词 CLIFFORD分析 Isotonic函数向量 线性边值问题
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Isotonic Clifford分析中的Pompeiu公式和T算子
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作者 鄢盛勇 《广西民族大学学报(自然科学版)》 CAS 2015年第3期57-61,共5页
首先证明了Isotonic Clifford分析中的Pompeiu公式,并证明了多元复分析中的Bochner-Martinelli公式为其特殊形式,其次定义了T算子,得到了方程isotxg=f的分布解.
关键词 CLIFFORD分析 广义Isotonic函数 Pompeiu公式 T算子
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Geochemistry,Nd Isotopic Characteristics of Metamorphic Complexes in Northern Hebei:Implications for Crustal Accretion 被引量:22
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作者 LIU Shuwen TIAN Wei +4 位作者 Lü Yongjun LI Qiugen FENG Yonggang K. H. PARK Y. S. SONG 《Acta Geologica Sinica(English Edition)》 SCIE CAS CSCD 2006年第6期807-818,共12页
The middle segment of the northern margin of the North China Craton (NCC) consists mainly of metamorphosed Archean Dantazi Complex, Paleoproterozoic Hongqiyingzi Complex and unmetamorphosed gabbro-anorthosite-meta-a... The middle segment of the northern margin of the North China Craton (NCC) consists mainly of metamorphosed Archean Dantazi Complex, Paleoproterozoic Hongqiyingzi Complex and unmetamorphosed gabbro-anorthosite-meta-alkaline granite, as well as metamorphosed Late Paleozoic mafic to granitoid rocks in the Damiao-Changshaoying area. The -2.49 Ga Dantazi Complex comprises dioritic-trondhjemitic-granodoritic-monzogranitic gneisses metamorphosed in amphibolite to granulite facies. Petrochemical characteristics reveal that most of the rocks belong to a medium- to high-potassium calc-alkaline series, and display Mg^# less than 40, right-declined REE patterns with no to obviously positive Eu anomalies, evidently negative Th, Nb, Ta and Ti anomalies in primitive mantlenormalized spider diagrams, εNd(t)=+0.65 to -0.03, and depleted mantle model ages TDM=2.78-2.71 Ga. Study in petrogenesis indicates that the rocks were formed from magmatic mixing between mafic magma from the depleted mantle and granitoid magma from partial melting of recycled crustal mafic rocks in a continental margin setting. The 2.44-2.41 Ga Hongqiyingzi Complex is dominated by metamorphic mafic-granodioritic-monzogranitic gneisses, displaying similar petrochemical features to the Dantazi Complex, namely medium to high potassium calc-alkaline series, and the mafic rocks show evident change in LILEs, negative Th, Nb, Ta, Zr anomalies and positive P anomalies. And the other granitiod samples also exhibit negative Th, Nb, Ta, P and Ti anomalies. All rocks in the Hongqiyingzi Complex show right-declined REE patterns without Eu anomaly. The metamorphic mafic rocks with εNd(t) = -1.64 may not be an identical magmatic evolution series with granitoids that have εNd(t) values of +3.19 to +1.94 and TDM ages of 2.55-2.52 Ga. These granitic rocks originated from hybrid between mafic magma from the depleted mantle and magma from partial melting of juvenile crustal mafic rocks in an island arc setting. All the -311 Ma Late Paleozoic metamorphic mafic rocks and related granitic rocks show a medium-potassium calc-alkaline magmatic evolution series, characterized by high Mg^#, obviously negative Th, Nb, Ta anomalies and positive Sr anomalies, from no to strongly negative Ti anomalies and flat REE patterns with εNd(t) = +8.42, implying that the maflc magma was derived from the depleted mantle. However the other granitic rocks are characterized by right-declined REE patterns with no to evidently positive Eu anomalies, significantly low εNd(t) = -13.37 to -14.04, and TDM=1.97-1.96 Ga, revealing that the granitoid magma was derived from hybrid between maflc magma that came from -311 Ma depleted mantle and granitoid magma from Archean to Early Paleoproterozoic ancient crustal recycling. The geochemistry and Nd isotopic characteristics as well as the above geological and geochronological results indicate that the middle segment of the northern margin of the NCC mainly experienced four crustal growth episodes from Archean to Late Paleozoic, which were dominated by three continental marginal arc accretions (-2.49, -2.44 and 311 Ma), except the 1.76-1.68 Ga episode related to post-collisional extension, revealing that the crustal accretion of this segment was chiefly generated from arc accretion and amalgamation to the NCC continental block. 展开更多
关键词 Dantazi Complex Hongqiyingzi Complex Late Paleozoic geochemistrv. Nd isotone. wcrustal accretion North China Craton
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Effect of Hypertonic Versus Isotonic Saline Resuscitation on Heme Oxygenase-1 Expression in Visceral Organs Following Hemorrhagic Shock in Rats 被引量:4
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作者 LU Yuan Qiang GU Lin Hui +1 位作者 JIANG Jiu Kun MOU Han Zhou 《Biomedical and Environmental Sciences》 SCIE CAS CSCD 2013年第8期684-688,共5页
To compare the early effects of hypertonic and isotonic saline resuscitation on heme oxygenase-1 (HO-1) expression in organs of rats with hemorrhagic shock. Rats were randomly divided into hypertonic saline resuscit... To compare the early effects of hypertonic and isotonic saline resuscitation on heme oxygenase-1 (HO-1) expression in organs of rats with hemorrhagic shock. Rats were randomly divided into hypertonic saline resuscitation (HTS), normal saline resuscitation (NS) and sham groups. HO-1 mRNA, protein expression and apoptosis were evaluated in organs. In the HTS group, significant difference was noted in HO-1 protein in small intestinal mucosa and liver compared with the NS and sham groups, and in HO-1 mRNA in liver and kidney compared with the sham group. The apoptosis of small intestinal mucosa, liver, heart, and lung was significantly lower in the HTS group than that in the NS group. In this study, small volume resuscitation with HTS can efficiently up-regulate the expression level of HO-1 in small intestinal mucosa and liver, which may be one of the mechanisms alleviating organ damage. 展开更多
关键词 HTS Effect of Hypertonic Versus Isotonic Saline Resuscitation on Heme Oxygenase-1 Expression in Visceral Organs Following Hemorrhagic Shock in Rats HO
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BRIEF ARTICLE New reduced volume preparation regimen in colon capsule endoscopy 被引量:8
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作者 Yasuo Kakugawa Yutaka Saito +10 位作者 Shoichi Saito Kenji Watanabe Naoki Ohmiya Mitsuyuki Murano Shiro Oka Tetsuo Arakawa Hidemi Goto Kazuhide Higuchi Shinji Tanaka Hideki Ishikawa Hisao Tajiri 《World Journal of Gastroenterology》 SCIE CAS CSCD 2012年第17期2092-2098,共7页
AIM:To evaluate the effectiveness of our proposed bowel preparation method for colon capsule endoscopy.METHODS:A pilot,multicenter,randomized controlled trial compared our proposed "reduced volume method"(gr... AIM:To evaluate the effectiveness of our proposed bowel preparation method for colon capsule endoscopy.METHODS:A pilot,multicenter,randomized controlled trial compared our proposed "reduced volume method"(group A) with the "conventional volume method"(group B) preparation regimens.Group A did not drink polyethylene glycol electrolyte lavage solution(PEGELS) the day before the capsule procedure,while group B drank 2 L.During the procedure day,groups A and B drank 2 L and 1 L of PEG-ELS,respectively,and swallowed the colon capsule(PillCam COLON capsule).Two hours later the first booster of 100 g magnesium citrate mixed with 900 mL water was administered to both groups,and the second booster was administered six hours post capsule ingestion as long as the capsule had not been excreted by that time.Capsule videos were reviewed for grading of cleansing level,RESULTS:Sixty-four subjects were enrolled,with results from 60 analyzed.Groups A and B included 31 and 29 subjects,respectively.Twenty-nine(94%) subjects in group A and 25(86%) subjects in group B had adequate bowel preparation(ns).Twenty-two(71%) of the 31 subjects in group A excreted the capsule within its battery life compared to 16(55%) of the 29 subjects in group B(ns).Of the remaining 22 subjects whose capsules were not excreted within the battery life,all of the capsules reached the left side colon before they stopped functioning.A single adverse event was reported in one subject who had mild symptoms of nausea and vomiting one hour after starting to drink PEG-ELS,due to ingesting the PEG-ELS faster than recommended.CONCLUSION:Our proposed reduced volume bowel preparation method for colon capsule without PEG-ELS during the days before the procedure was as effective as the conventional volume method. 展开更多
关键词 Colon capsule endoscopy Polyethylene glycol electrolyte lavage solution Colon cleanliness Reduced volume preparation method Isotonic magnesium citrate
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Efficacy of Isotonic Seawater Solution on Inflammation of the Ocular Surface in Matrix Metalloproteinase MMP-9-Positive Dry Eye Disease Patients 被引量:1
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作者 Diaz-Llopis Manuel Pinazo-Duran Maria Dolores +6 位作者 Diaz-Guiñon Loreto Rahhal-Ortuño Miriam Gallego-Pinazo Roberto Dolz-Marco Rosa Diaz-Guiñon Teresa Diaz Maria Romero Francisco Javier 《Open Journal of Ophthalmology》 2020年第3期221-229,共9页
Purpose:</span></b><span style="font-family:""><span style="font-family:Verdana;"> Prospective study to evaluate the anti-inflammatory efficacy of isotonic seawater sol... Purpose:</span></b><span style="font-family:""><span style="font-family:Verdana;"> Prospective study to evaluate the anti-inflammatory efficacy of isotonic seawater solution on metalloproteinase 9 (MMP-9) levels in the tears of patients with dry eye disease (DED). </span><b><span style="font-family:Verdana;">Methods:</span></b><span style="font-family:Verdana;"> A total of 50 patients were included, with the following dry eye criteria in both eyes: InflammaDry</span></span><sup><span style="font-family:Verdana;">?</span></sup><span style="font-family:""><span style="font-family:Verdana;"> test initially positive, ocular surface disease index (OSDI) score ≥ 12 and <33, tear film breakup time (TBUT) ≤ 10 seconds, Shirmer I test result ≤ 10 mm/5 minutes, corneal staining ≥ 1. Additionally, all the patients selected corresponded to a dry eye type 2 - 3 severity degree - mild and moderate - Dry Eye Workshop Study (DEWS) classification. The InflammaDry test is used to measure levels of MMP9 at the beginning and the end of the study. All patients were treated exclusively with isotonic seawater solution 5 times a day for 3 weeks. </span><b><span style="font-family:Verdana;">Results:</span></b><span style="font-family:Verdana;"> The InflammaDry test was positive in 100% of the patients (n = 50) and in 100% (n = 100) of the eyes before treatment. In 14 (28%) patients the test became negative in both eyes, and in 15 (30%) it was negative in one of the eyes. In 43% (n = 43) of the positive eyes, MMP-9 became undetectable in the tear fluid following treatment with isotonic seawater. This change was statistically significant (p < 0.001). </span><b><span style="font-family:Verdana;">Conclusions</span></b><span style="font-family:Verdana;">: The washes with ophthalmic isotonic seawater solution have a significant impact on inflammation of the ocular surface in dry eye disease, with an ability to make MMP-9 levels negative in 43% of cases. 展开更多
关键词 Dry Eye Inflammadry Test MMP-9 Ocular Surface Inflammation Ophthal-mic Isotonic Seawater Solution
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Dependence of Quasi-Particle Alignment on Proton Number in N=44 Isotones ^(82)Sr,^(83)Y,^(84)Zr and ^(85)Nb
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作者 范平 袁大庆 +14 位作者 郑永男 左翼 周冬梅 张乔丽 吴晓光 李广生 竺礼华 许国基 樊启文 张锡珍 T. MINAMISONO K. MATSUTA M. FUKUDA M. MIHARA 朱升云 《Plasma Science and Technology》 SCIE EI CAS CSCD 2012年第5期405-407,共3页
The g-factors of Ground Rotational Band states of N = 44 isotones 82^Sr, 83^Y, 84^Zr and 85^Nb have been measured by the transient-magnetic-field ion implantation perturbed angular distribution (TMF-IMPAD) method. T... The g-factors of Ground Rotational Band states of N = 44 isotones 82^Sr, 83^Y, 84^Zr and 85^Nb have been measured by the transient-magnetic-field ion implantation perturbed angular distribution (TMF-IMPAD) method. The measured g-factors of 82^Sr increase with the increase of spin I, indicating a proton alignment only. Positive peaks appear in the variation of g-factors with spin for 83^Y and 84^Zzr at spin 21/2^+ and 10^+ respectively, indicating a proton alignment followed by a neutron alignment. A negative peak occurs for SSNb at the spin 25/2^+, indicating a neutron alignment followed by a proton alignment. 展开更多
关键词 N=44 isotones 82^Sr 83^Y 84^Zr and SSNb quasi-particle alignment g-factor TMF-IMPAD
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On the Behavior of Connectedness Properties in Isotonic Spaces under Perfect Mappings
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作者 Stephen M. Gathigi Moses N. Gichuki Kewamoi C. Sogomo 《Advances in Pure Mathematics》 2013年第9期689-691,共3页
The topological study of connectedness is heavily geometric or visual. Connectedness and connectedness-like properties play an important role in most topological characterization theorems, as well as in the study of o... The topological study of connectedness is heavily geometric or visual. Connectedness and connectedness-like properties play an important role in most topological characterization theorems, as well as in the study of obstructions to the extension of functions. In this paper, the behaviour of these properties in the realm of closure spaces is investigated using the class of perfect mappings. A perfect mapping is a type of map under which the image generally inherits the properties of the mapped space. It turns out that the general behaviour of connectedness properties in topological spaces extends to the class of isotone space. 展开更多
关键词 CLOSURE OPERATOR CLOSURE AXIOM ISOTONIC Space PERFECT Mapping Connectedness
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The Effect of Isometric and Isotonic Exercises of Lower Limbs Extensor Sling on Static and Dynamic Balance in Basketball Players with Patellofemoral Pain
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作者 Seyedehzahra Salamifar Mohammad Hossein Nasermeli Behnaz Ganji Namin 《Health》 2017年第10期1355-1366,共12页
Background: Patellofemoral Pain Syndrome (PFPS) is one of the most common conditions among athletes. Although there are various causes for this condition, reduced balance is the problem most frequently expressed by th... Background: Patellofemoral Pain Syndrome (PFPS) is one of the most common conditions among athletes. Although there are various causes for this condition, reduced balance is the problem most frequently expressed by these patients. The aim of the present study was to examine the effect of Extensor Muscle Sling Isometric and Isotonic (EMSII) exercises of lower limbs on female basketball players suffering from PFPS. Method: A total of 30 participants, all female basketball players suffering from PFPS, with an average age of 20 - 30 years, were divided into two isometric/isotonic and control experimental groups. Eight weeks of isometric and isotonic exercises were recommended to the participants with a focus on EMSII exercises of lower limbs in two four-week phases. The control group received no specific exercise program. Pre-test and post-test included the use of Stork balance test (SBT) and Y Balance tests (YBT) to assess the static and dynamic balance, respectively. Results: After eight weeks of performing separate isometric and isotonic exercises on the mentioned muscles, and according to the results of the pre-test, a significant increase was observed in the results of both static and dynamic balance tests (P Conclusion: EMSII exercises of lower limbs showed a significant effect on the increased balance. Recommended exercises can be suggested according to the type of exercises as a factor for increasing static and dynamic balance. 展开更多
关键词 ISOMETRIC EXERCISES ISOTONIC EXERCISES Muscle Slings PATELLOFEMORAL Pain Syndrome
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On Pseudo-Category of Quasi-Isotone Spaces
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作者 Hezron S. Were Stephen M. Gathigi +2 位作者 Paul A. Otieno Moses N. Gichuki Kewamoi C. Sogomo 《Advances in Pure Mathematics》 2014年第2期59-61,共3页
Recent developments in mathematics have in a sense organized objects of study into categories, where properties of mathematical systems can be unified and simplified through presentation of diagrams with arrows. A cat... Recent developments in mathematics have in a sense organized objects of study into categories, where properties of mathematical systems can be unified and simplified through presentation of diagrams with arrows. A category is an algebraic structure made up of a collection of objects linked together by morphisms. Category theory has been advanced as a more concrete foundation of mathematics as opposed to set-theoretic language. In this paper, we define a pseudo-category on the class of isotonic spaces on which the idempotent axiom of the Kuratowski closure operator is assumed. 展开更多
关键词 CLOSURE Operator ISOTONIC Space Quasi-Isotone SPACES Pseudo-Category
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Normality and Its Variants on Fuzzy Isotone Spaces
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作者 Stephen M. Gathigi Moses N. Gichuki +1 位作者 Paul A. Otieno Hezron S. Were 《Advances in Pure Mathematics》 2013年第7期639-642,共4页
The study of fuzzy sets is specifically designed to mathematically represent uncertainty and vagueness by assigning values of membership to objects that belong to a particular set. This notion has been broadly extende... The study of fuzzy sets is specifically designed to mathematically represent uncertainty and vagueness by assigning values of membership to objects that belong to a particular set. This notion has been broadly extended to other areas of topology where various topological concepts have been shown to hold on fuzzy topology. Some notions naturally extend to closure spaces without requiring a lot of modification of the underlying topological ideas. This work investigates the variants of normality on fuzzy isotone spaces. 展开更多
关键词 FUZZY Sets FUZZY CLOSURE SPACE FUZZY Isotone SPACE FUZZY NORMALITY
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An Non-parametrical Approach to Estimate Location Parameters under Simple Order
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作者 孙旭 《Northeastern Mathematical Journal》 CSCD 2005年第2期175-180,共6页
This paper deals with estimating parameters under simple order when samples come from location models. Based on the idea of Hodges and Lehmann estimator (H-L estimator), a new approach to estimate parameters is propos... This paper deals with estimating parameters under simple order when samples come from location models. Based on the idea of Hodges and Lehmann estimator (H-L estimator), a new approach to estimate parameters is proposed, which is difference with the classical L1 isotonic regression and L2 isotonic regression. An algorithm to compute estimators is given. Simulations by the Monte-Carlo method is applied to compare the likelihood functions with respect to L1 estimators and weighted isotonic H-L estimators. 展开更多
关键词 H-L estimator simple partial the ith population isotonic H-L estimator weighted isotonic H-L estimator
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Quadratic Loss of Isotonic Normal Means under Simultaneous Order Restrictions
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作者 马艳萍 史宁中 《Northeastern Mathematical Journal》 CSCD 2002年第3期245-253,共9页
For two normal populations with unknown means μ and unknown variances σ2, assume that there are simple order restrictions among the means and variances: μ1 < μ2 and σ12 >σ22 > 0. This case is said to be... For two normal populations with unknown means μ and unknown variances σ2, assume that there are simple order restrictions among the means and variances: μ1 < μ2 and σ12 >σ22 > 0. This case is said to be simultaneous order restriction by Shi (Maximum likelihood estimation of means and variances from normal populations under simultaneous order restrictions, J. Multivariate Anal., 50(1994), 282-293.) and an iterative algorithm of computing the order restricted maximum likelihood estimates of μi and σi2 was given in that paper. This paper shows that the restricted maximum likelihood estimate of μi has smaller mean square loss than the usual estimate xi under some conditions. 展开更多
关键词 isotonic regression mean square loss restricted maximum likelihood estimate
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A Suggestion Complementing the Magic Numbers Interpretation of the Nuclear Fission Phenomena
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作者 Faustino Menegus 《World Journal of Nuclear Science and Technology》 2018年第1期11-22,共12页
Ideas, solely related on the nuclear shell model, fail to give an interpretation of the experimental central role of 54Xe in the asymmetric fission of actinides. The same is true for the &beta;-delayed fission of ... Ideas, solely related on the nuclear shell model, fail to give an interpretation of the experimental central role of 54Xe in the asymmetric fission of actinides. The same is true for the &beta;-delayed fission of 180Tl to 80Kr and 100Ru. The representation of the natural isotopes, in the Z-Neutron Excess plane, suggests the importance of the of the Neutron Excess evolution mode in the fragments of the asymmetric actinide fission and in the fragments of the &beta;-delayed fission of 180Tl. The evolution mode of the Neutron Excess, hinged at Kr and Xe, is directed by the 50 and 82 neutron magic numbers. The present isotope representation offers a frame for the interpretation of the post fission evaporation of neutrons, higher for the AL compared to the AH fragments, a tenet in nuclear fission. Further enlightened is the functional meaning of the 50 proton magic number, marking the start of the yield rise of the AH fragments in actinide fission. 展开更多
关键词 Nuclear Structure Neutron EXCESS MAGIC NUMBERS Isotons Binding Energy Kr XE ACTINIDES
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Clifford分析中Isotonic函数带位移的非线性边值问题 被引量:4
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作者 鄢盛勇 《重庆师范大学学报(自然科学版)》 CAS CSCD 北大核心 2013年第2期34-38,共5页
本文讨论了定义于偶数维欧氏空间R2 m而取值于复Clifford代数Cm,且满足方程x-1f(x)+if~(x)x-2=0的Iso-tonic函数的一类带位移带共轭的非线性边值问题。首先设计积分算子将边值问题转化为积分方程问题,然后研究积分算子的性质,借助... 本文讨论了定义于偶数维欧氏空间R2 m而取值于复Clifford代数Cm,且满足方程x-1f(x)+if~(x)x-2=0的Iso-tonic函数的一类带位移带共轭的非线性边值问题。首先设计积分算子将边值问题转化为积分方程问题,然后研究积分算子的性质,借助积分方程理论和Schauder不动点理论证明了边值问题解的存在性,并给出了解的积分表达式f(x)=∫Ω(x-1-y-1)(n-1φ0(y)+iφ~0(y)n-2)ω2mx-y2 m+(φ0(y)n-2-i n-1φ~0(y))(x-2-y-2)ω2mx-y2[]mdSy。 展开更多
关键词 CLIFFORD分析 Isotonic函数 带位移边值问题 非线性
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Clifford分析中Isotonic柯西型积分的边界性质 被引量:6
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作者 库敏 杜金元 王道顺 《数学学报(中文版)》 SCIE CSCD 北大核心 2011年第2期177-186,共10页
本文主要刻画了定义于偶数维欧氏空间中光滑曲面而取值于复Clifford代数的isotonic柯西型积分的边界性质.对具有H(o|¨)lder密度函数的isotonic柯西型积分,得到了Privalov定理和Sokhotskii-Plemelj公式,并证明了多复变函数论中经典B... 本文主要刻画了定义于偶数维欧氏空间中光滑曲面而取值于复Clifford代数的isotonic柯西型积分的边界性质.对具有H(o|¨)lder密度函数的isotonic柯西型积分,得到了Privalov定理和Sokhotskii-Plemelj公式,并证明了多复变函数论中经典Bochner-Martinelli型积分的Privalov定理和Sokhotskii-Plemelj公式为其特殊情形. 展开更多
关键词 CLIFFORD分析 Isotonic柯西型积分 Privalov定理
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