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Translative containment measure and symmetric mixed isohomothetic inequalities 被引量:5
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作者 LUO Miao XU WenXue ZHOU JiaZu 《Science China Mathematics》 SCIE CSCD 2015年第12期2593-2610,共18页
We first investigate the translative containment measure for convex domain K0 to contain, or to be contained in, the homothetic copy of another convex domain K1, i.e., given two convex domains K0, K1 of areas A0, A1, ... We first investigate the translative containment measure for convex domain K0 to contain, or to be contained in, the homothetic copy of another convex domain K1, i.e., given two convex domains K0, K1 of areas A0, A1, respectively, in the Euclidean plane R2, is there a translation T so that t(T K1) K0 or t(T K1) ? K0 for t > 0? Via the translative kinematic formulas of Poincar′e and Blaschke in integral geometry,we estimate the symmetric mixed isohomothetic deficit σ2(K0, K1) ≡ A201- A0A1, where A01 is the mixed area of K0 and K1. We obtain a sufficient condition for K0 to contain, or to be contained in, t(T K1). We obtain some Bonnesen-style symmetric mixed isohomothetic inequalities and reverse Bonnesen-style symmetric mixed isohomothetic inequalities. These symmetric mixed isohomothetic inequalities obtained are known as Bonnesen-style isopermetric inequalities and reverse Bonnesen-style isopermetric inequalities if one of domains is a disc. As direct consequences, we obtain some inequalities that strengthen the known Minkowski inequality for mixed areas and the Bonnesen-Blaschke-Flanders inequality. 展开更多
关键词 translative containment measure symmetric mixed isohomothetic deficit symmetric mixed isohomothetic inequality Bonnesen-style symmetric mixed isohomothetic inequality reverse Bonnesen-style symmetric mixed isohomothetic inequality
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ON BONNESEN-STYLE SYMMETRIC MIXED ISOHOMOTHETIC INEQUALITY IN R^2 被引量:5
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作者 Yuanyuan WANG Xingxing WANG Chunna ZENG 《Acta Mathematica Scientia》 SCIE CSCD 2019年第5期1319-1329,共11页
In this paper,we investigate the translative containment measure for a convex domain K_i to contain,or to be contained in the homothetic copy of another convex domain tK_j(t≥0).Via the formulas of translative Blaschk... In this paper,we investigate the translative containment measure for a convex domain K_i to contain,or to be contained in the homothetic copy of another convex domain tK_j(t≥0).Via the formulas of translative Blaschke and Poincare in integral formula,we obtain a Bonnesen-style symmetric mixed isohomothetic inequality.The Bonnesen-style symmetric mixed isohomothetic inequality obtained is known as Bonnesen-style inequality if one of the domains is a disc.As a direct consequence,we attain an inequality which strengthen the result proved by Bonnesen,Blaschke and Flanders.Furthermore,by the containment measure and Blaschke’s rolling theorem,we obtain the reverse Bonnesen-style symmetric mixed isohomothetic inequalities.These inequalities are the analogues of the known Bottema’s result in 1933. 展开更多
关键词 translative containment measure ISOPERIMETRIC INEQUALITY Bonnesen-style INEQUALITY Bonnesen-style SYMMETRIC MIXED isohomothetic INEQUALITY reverse Bonessen-style SYMMETRIC MIXED isohomothetic INEQUALITY
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The Adaptation and Selection in Film Subtitle Translation
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作者 陈志海 董淑新 任慧影 《海外英语》 2014年第24期169-171,共3页
Movie,as a media,plays an important and irreplaceable role in culture dissemination.Therefore,a successful film subtitle translation deserves much of the credit.Based on Darwin’s adaptation and selection and combined... Movie,as a media,plays an important and irreplaceable role in culture dissemination.Therefore,a successful film subtitle translation deserves much of the credit.Based on Darwin’s adaptation and selection and combined with the adaptation theory,professor Hu proposed and developed Eco-translatology,which studies translation from the perspective of ecology.This theory defined translation as a translator's adaptation and selection activities in a translational eco-environment,which is the world present by the source text,the source language,and the target language,namely the integrity of language,communication,culture,society,readers,the author and so on. 展开更多
关键词 ECO-TRANSLATOLOGY FILM SUBTITLE TRANSLATION transl
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A Commentary on My Chinese Translation of Forensic Chemistry Handbook
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作者 程少云 《海外英语》 2014年第12X期123-124,126,共3页
This essay aims to analyze my translation of ForensicChemistryHandbook which is a scientific book published in 2012. I am commissioned to translate the book by China Maritime Police Academy, a university in Ningbo. Th... This essay aims to analyze my translation of ForensicChemistryHandbook which is a scientific book published in 2012. I am commissioned to translate the book by China Maritime Police Academy, a university in Ningbo. The translated version will be used as a textbook for university, thus the potential readers will be students in this university. As to features of the textbook, it belongs to informative text, which can be characterized as conciseness, correctness and objectiveness. Guided by typical functional translationtheoriessuchasHanJ.Vermeer'sskoposruleandPeterNewmark'stexttypology,thiscommentarywilldealwithhowI use collaborative strategy and simplification to translate the book to ensure the quality and efficiency, especially when encountering technicaltermsandcomplicatedsentences.FourexamplesareshowninthefollowingpapertoillustratehowItranslatethebook. 展开更多
关键词 FUNCTIONAL TRANSLATION THEORY COLLABORATIVE transl
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Status of Practical Translation
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作者 关健 《海外英语》 2012年第3X期118-120,共3页
Talking about translation, it seems that people have been researching the pure translation or the pure translation principle. Some researches consider the literature as highbrow art, while count practical translation ... Talking about translation, it seems that people have been researching the pure translation or the pure translation principle. Some researches consider the literature as highbrow art, while count practical translation as rustic art. In fact, since the World War II, translation has developed and involved all fields other than literary translation. In particular, since China joined the World Trade Organization, the practical translation was growing vigorously. However, in recent years, the practical translation is facing frustration. Internal and external reasons can explain the phenomenon. 展开更多
关键词 TRANSLATION PRINCIPLE PRACTICAL TRANSLATION transl
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Allolymphocyte apoptosis induced by soluble liver specific antigen
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作者 Chang-Ku Jia Yan Wang +3 位作者 Shu-Sen Zheng Ai-Bin Zhang Hai-Yang Xie Jing Ye the Department of Hepatobiliary Pancreatic Surgery, First Affiliated Hospital, Zhejiang University School of Medicine, Hangzhou 310003, China 《Hepatobiliary & Pancreatic Diseases International》 SCIE CAS 2003年第2期500-506,共7页
OBJECTIVE: To investigate the alloimmunogenicity of liver specific antigen and its effects on allolymphocytes. METHODS: Liver specific antigen isolated from inbred F344 rats was used as immunogen to immunize inbred Le... OBJECTIVE: To investigate the alloimmunogenicity of liver specific antigen and its effects on allolymphocytes. METHODS: Liver specific antigen isolated from inbred F344 rats was used as immunogen to immunize inbred Lew rats through different immunization pathways such as low-dose long-term hind footpad, high-dose portal vein and thymus immunization. Western blotting, DNA fragments gel electrophoresis, mixed lymphocyte culture (MLC) and mixed lymphocyte hepatocyte culture (MLHC) were employed to analyze the immune state after immunization. RESULTS: At the time point of sampling, different degree of specific low immunoresponses appeared in all immunized groups as well as cyclophosphamide (CY) treated group. Compared with group I, other groups expressed caspase-3 significantly as detected by using Western blotting. DNA fragment gel electrophoresis of splenocytes showed lymphocyte apoptosis. Compared with the group I, MLC of the experimental groups showed no significant changes except that of the group V, whereas MLHC decreased markedly (P<0.05). CONCLUSIONS: Liver specific antigen not only has alloimmunogenicity to induce alloimmunoreaction but induce antigen specific low immunoresponses and antigen specific lymphocyte apoptosis by high-dose or low-dose long-term immunization. It may be an important transplantation antigen that may lead to a novel way to liver transplantation immunotolerance. 展开更多
关键词 liver。Pecmc antigen allolmmunorespllse lymphocVte aPO…osls transl)lantatlon lmmunologyogy
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