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Norms of Dual Complex Vectors and Dual Complex Matrices
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作者 Xin-He Miao Zheng-Hai Huang 《Communications on Applied Mathematics and Computation》 EI 2023年第4期1484-1508,共25页
In this paper,we investigate some properties of dual complex numbers,dual complex vectors,and dual complex matrices.First,based on the magnitude of the dual complex number,we study the Young inequality,the Hölder... In this paper,we investigate some properties of dual complex numbers,dual complex vectors,and dual complex matrices.First,based on the magnitude of the dual complex number,we study the Young inequality,the Hölder inequality,and the Minkowski inequality in the setting of dual complex numbers.Second,we define the p-norm of a dual complex vector,which is a nonnegative dual number,and show some related properties.Third,we study the properties of eigenvalues of unitary matrices and unitary triangulation of arbitrary dual complex matrices.In particular,we introduce the operator norm of dual complex matrices induced by the p-norm of dual complex vectors,and give expressions of three important operator norms of dual complex matrices. 展开更多
关键词 Dual complex number Dual complex vector Dual complex matrix p-norm Operator norm
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ESSENTIAL NORMS OF PRODUCTS OF WEIGHTED COMPOSITION OPERATORS AND DIFFERENTIATION OPERATORS BETWEEN BANACH SPACES OF ANALYTIC FUNCTIONS 被引量:3
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作者 Jasbir Singh MANHAS Ruhan ZHAO 《Acta Mathematica Scientia》 SCIE CSCD 2015年第6期1401-1410,共10页
We obtain several estimates of the essential norms of the products of differen- tiation operators and weighted composition operators between weighted Banach spaces of analytic functions with general weights. As applic... We obtain several estimates of the essential norms of the products of differen- tiation operators and weighted composition operators between weighted Banach spaces of analytic functions with general weights. As applications, we also give estimates of the es- sential norms of weighted composition operators between weighted Banach space of analytic functions and Bloch-type spaces. 展开更多
关键词 differentiation operators weighted composition operators weighted Banachspace of analytic functions Bloch-type spaces essential norms
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Negative Norms in Quantized Strings as Dark Energy Density of the Cosmos 被引量:1
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作者 Mohamed S. El Naschie 《World Journal of Condensed Matter Physics》 CAS 2016年第2期63-67,共5页
The present short paper is concerned with accurate explanation as well as quantification of the so called missing dark energy of the cosmos. It was always one of the main objectives of any successful general theory of... The present short paper is concerned with accurate explanation as well as quantification of the so called missing dark energy of the cosmos. It was always one of the main objectives of any successful general theory of high energy particle physics and quantum cosmology to keep non-physical negative norms, the so called ghosts completely out of that theory. The present work takes the completely contrary view by admitting these supposedly spurious states as part of the physical Hilbert space. It is further shown that rethinking the ghost free condition with the two critical spacetime dimensions D<sub>1</sub> = 26 and D<sub>2</sub> = 25 together with the corresponding intercept a<sub>1</sub> = 1 and a<sub>2</sub> ≤ 1 respectively and in addition imposing, as in Gross et al. heterotic superstrings, an overall 496 dimensional exceptional Lie symmetry group, then one will discover that there are two distinct types of energy. The first is positive norm ordinary energy connected to the zero set quantum particles which is very close to the measured ordinary energy density of the cosmos, namely E(O) = mc<sup>2</sup>/22. The second is negative norm (i.e. ghost) energy connected to the empty set quantum wave and is equal to the conjectured dark energy density of the cosmos E(D) = mc<sup>2</sup> (21/22) presumed to be behind the observed accelerated cosmic expansion. That way we were able to not only explain the physics of dark energy without adding any new concepts or novel additional ingredients but also we were able to compute the dark energy density accurately and in full agreement with measurements and observations. 展开更多
关键词 Negative norms Quantum Ghosts Dark Energy Accelerated Cosmic Expansion SUPERSTRINGS Quantum Field Theory Cantorian-Fractal Spacetime Einstein Relativity Non-Fictional Spurions
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Norms in the Translation of Chinese Film Titles 被引量:1
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作者 顾善萍 《海外英语》 2011年第11X期173-174,共2页
A film title is an essential part of a film.Compared with the translation of book titles and news headings,film title translation has been received far less attention,especially the rendering of Chinese film titles in... A film title is an essential part of a film.Compared with the translation of book titles and news headings,film title translation has been received far less attention,especially the rendering of Chinese film titles into English versions.Therefore,the thesis aims to study Chinese film title translation in the framework of norm theory and investigate the strategies adopted by translators. 展开更多
关键词 FILM titles NORM THEORY TRANSLATION STRATEGIES
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The Review of Descriptive Norms in Translation Studies
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作者 刘雯 《海外英语》 2010年第12X期183-183,185,共2页
The studies on descriptive norms in translation studies are of great significance because they spread the domain of norms and begin to consider the impact of the outside community so that they lead the study to a new ... The studies on descriptive norms in translation studies are of great significance because they spread the domain of norms and begin to consider the impact of the outside community so that they lead the study to a new field.Descriptive norms are discussed and studied systemically mainly by three scholars:Toury,Hermans,and Chesterman.The purpose of this article is to review this concept and try to point out some merits and demerits of their theory. 展开更多
关键词 DESCRIPTIVE norms TRANSLATION STUDIES MEMES
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NORMALLY DISTRIBUTED PROBABILITY MEASURE ON THE METRIC SPACE OF NORMS
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作者 .G.HORVTH 《Acta Mathematica Scientia》 SCIE CSCD 2013年第5期1231-1242,共12页
In this paper we propose a method to construct probability measures on the space of convex bodies. For this purpose, first, we introduce the notion of thinness of a body. Then we show the existence of a measure with t... In this paper we propose a method to construct probability measures on the space of convex bodies. For this purpose, first, we introduce the notion of thinness of a body. Then we show the existence of a measure with the property that its pushforward by the thinness function is a probability measure of truncated normal distribution. Finally, we improve this method to find a measure satisfying some important properties in geometric measure theory. 展开更多
关键词 Hausdorff metric BOREL DIRAC Haar and Lebesgue-measure space of convex bodies metric space of norms
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The Equivalence of Certain Norms on the Heisenberg Group
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作者 Murphy E. Egwe 《Advances in Pure Mathematics》 2013年第6期576-578,共3页
Let IHn be the (2n+1)-dimensional Heisenberg group. In this paper, we shall give among other things, the properties of some homogeneous norms relative to dilations on the IHn and prove the equivalence of these norms.
关键词 HEISENBERG GROUP HEISENBERG norms Equivalent norms HOMOGENEOUS GROUP
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Misperceptions of peer gambling norms among adolescents: Analysis of a national sample in Finland
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作者 Susanna Raisamo Tomi Lintonen 《Open Journal of Preventive Medicine》 2012年第2期131-136,共6页
Introduction: Misperceptions of peer drinking norms are widely documented in the US student populations and are associated with increased personal consumption. Few studies have examined misperceptions of peer gambling... Introduction: Misperceptions of peer drinking norms are widely documented in the US student populations and are associated with increased personal consumption. Few studies have examined misperceptions of peer gambling, and none of these have been conducted among adolescents in the European context. In a national sample, we examined misperceptions of peer gambling in Finland. Tenets of the social norms approach form a framework for discussion of the findings. Methods: Participants were 4526 adolescents aged 12 to 18 years who completed the nationwide Adolescent Health and Lifestyle Survey in 2011. Main measures were gambling behavior and the perception of same age-sex peers’ gambling. Misperception was an overestimation of the frequency of gambling by others compared to the actual frequency of gambling. Results: Adolescents held substantial misperceptions of peer gambling, imagining they gambled much more than they actually did. Age, sex, and gambling behavior were correlated with the perceptions. The extent of misperception was greatest among monthly gamblers, whereas non-gamblers and daily gamblers were more accurate in their perceptions. Estimations of peers’ gambling frequency were more accurate in boys than in girls and among those aged 12 years than among older adolescents. Conclusion: Our findings suggest that adolescent gambling prevention efforts could benefit from adopting a social norms approach;that is, correcting gambling-related misperceptions might discourage gambling and protect adolescents from adopting more severe gambling patterns. 展开更多
关键词 ADOLESCENT GAMBLING Social norms MISPERCEPTIONS PEERS
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Regarding Men as Superior to Women:Impacts of Confucianism on Family Norms in China
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作者 Xie Zhenming 《China Population Today》 1994年第6期12-21,共10页
Confucianism is one of the important components of Chinese traditional culture, which was considered as an orthodox thought for thousands of years. In this analysis, the impact of Confucianism on family norms,specific... Confucianism is one of the important components of Chinese traditional culture, which was considered as an orthodox thought for thousands of years. In this analysis, the impact of Confucianism on family norms,specifically, on labour division, decision making, reproductive behaviours and patterns of support for the elderly within the family sphere are elaborated based on the information from field investigations. It is anticipated that with the far-reaching family planning programme and modernization drive, the traditional ideas will undergo a fundamental change. 展开更多
关键词 FAMILY CONFUCIANISM China IMPACTS MEN norms Regarding SUPERIOR WOMEN as
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Preceding Crops Selection, Colza Seeding Norms and Dates Optimization in North Kazakhstan
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作者 Gulzhanar Shaihina Abilzhan Husainov +2 位作者 Guldana Seitova Gaziza Kaseinova Aida Mausumbayeva 《Agricultural Sciences》 2014年第14期1407-1412,共6页
Colza is a relatively new crop for North Kazakhstan. The increase of colza seeds production is restricted by its cultivation technology imperfection. Empiric model of colza for seeds cultivation is designed, allowing ... Colza is a relatively new crop for North Kazakhstan. The increase of colza seeds production is restricted by its cultivation technology imperfection. Empiric model of colza for seeds cultivation is designed, allowing using its maximum potential. It was found out that correct preceding crops selection, optimization of norms and dates of colza seeding provide seeds heavy weight crops, reducing crops production cost and increasing cost efficiency at 62% average. 展开更多
关键词 Colza SEEDING DATES SEEDING norms Preceding CROPS ECONOMIC Efficiency
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Protocol for a Respondent-Driven Sampling Study Exploring the Roles of Peer Norms in HIV-Related Practices of Gay Men
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作者 Iryna Zablotska John de Wit +4 位作者 Graham Brown Bruce Maycock Christopher Fairley Michelle McKechnie Garrett Prestage 《World Journal of AIDS》 2013年第4期320-326,共7页
Introduction: Sexual behaviour among gay and other men who have sex with men (GMSM) is influenced by the shared understanding of HIV/STI risk and peer norms regarding sexual behaviour. However, there is little researc... Introduction: Sexual behaviour among gay and other men who have sex with men (GMSM) is influenced by the shared understanding of HIV/STI risk and peer norms regarding sexual behaviour. However, there is little research evidence to support this relationship. The unique geographic spread of Australian communities, the history of Australian HIV epidemic and the different patterns in risky sexual practices and HIV diagnoses across Australia present an opportunity to explore the role of social norms and GMSM behaviours in shaping different patterns of HIV epidemics. We describe the protocol of the study of contemporary norms in networks and communities of GMSM (CONNECT) which investigates gay community behavioural norms and practices. Methods: CONNECT is aimed to 1) identify the patterns of connections between individuals in GMSM communities and assess how they shape HIV-related behaviours;2) describe the relationship between social norms and sexual practices;and 3) compare the norms and patterns of behaviour in geographically and epidemiologically distinct GMSM populations in three Australian states New South Wales, Victoria and Western Australia, in order to identify local community norms and barriers to effective HIV prevention. This quantitative cross-sectional study uses respondent-driven sampling (RDS) for recruitment. Results: Analyses will be carried out on individual and community level and will investigate the relationship between community-level behavioural norms and associated practices of individuals. Conclusion: CONNECT is anticipated to inform HIV prevention services to better target and increase the effectiveness of the current health promotion for GMSM in the context of increasing HIV/STI incidence. 展开更多
关键词 HIV GMSM Networks BEHAVIOUR Community norms
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Cephalometric norms for a sample of Emirates adults
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作者 Huda M. Abu-Tayyem Amna H. Alshamsi +1 位作者 Sayed Hafez Eman Mohie ElDin 《Open Journal of Stomatology》 2011年第3期75-83,共9页
Introduction—European-American norms are still used in the orthodontic treatment of Emirates patients despite the different ethnic backgrounds of the Emirates. The purpose of this study was to formulate cephalometric... Introduction—European-American norms are still used in the orthodontic treatment of Emirates patients despite the different ethnic backgrounds of the Emirates. The purpose of this study was to formulate cephalometric norms for lateral cephalometric mea-surements of Emirates adults and to study gender differences. Methods—Lateral cephalometric radio-graphs of 176 Emirates adults, 91 males and 85 fe-males, were selected according to the following crite-ria;an age range between 19 to 25 years, esthetically pleasing and harmonious faces with balanced and acceptable profiles and occlusions, normal skeletal and dental relationship, all permanent teeth present, and no history of orthodontic treatment or facial trauma. The mean values and standard deviations of 91 angular and 21 linear cephalometric variables were calculated using the Dolphin version 10.5 soft-ware package. The resulting norms for Emirates male and female groups were compared using a student t-test. Results—Several statistically significant gender differences were noticeable. Skeletally, Emirates males showed significantly greater (p < 0.001) total, anterior, and posterior cranial base lengths as well as longer facial heights, greater SGn-FH (°), ANS Xi PM (°),and FH/MP (°) angles than females. In addition, Emirates males had significantly greater (p < 0.001) Co-A (mm), Co-Gn (mm), and significantly greater (p < 0.05) Pog-N vert (mm) than females. Dentally, Emirates males had significantly greater (p < 0.05) UI-SN (°) and U1-NA (°), U1-NA (mm), and L1-NB (mm) (p < 0.001) than females. For soft tissue measurements there were significant gender differences (p < 0.001) for all angular and linear measurements except for lower lip to E-plane and nose prominence measurements which have no significant gender difference. Emirates males revealed greater measurements than females except for soft tissue con-vexity, Z-angle, and both upper and lower lips pro-trusion which were significantly greater in Emirates females. Conclusions—The use of specific cephalometric standards for Emirates adults, sep-arate for gender, seems to be justified. It is appropri-ate to put these cephalometric norms into daily or-thodontic practice when Emirates adults are being treated. 展开更多
关键词 Emirates norms CEPHALOMETRIC norms
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Age norms for grating acuity and contrast sensitivity measured by Lea tests in the first three years of life
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作者 Amal A.Elgohary Manal H.Abuelela Adel Alei Eldin 《International Journal of Ophthalmology(English edition)》 SCIE CAS 2017年第7期1150-1153,共4页
AIM: To determine age norms in the first three years of life for grating visual acuity and contrast sensitivity obtained with Lea grating test and Hiding Heidi low contrast face test. METHODS: Lea grating test was u... AIM: To determine age norms in the first three years of life for grating visual acuity and contrast sensitivity obtained with Lea grating test and Hiding Heidi low contrast face test. METHODS: Lea grating test was used to estimate binocular grating acuity and Hiding Heidi low contrast face test was used to estimate contrast sensitivity in 600 healthy infants and children. Age ranged from 3 to 36 mo subdivided into 12 groups subjected for full ophthalmologic and pediatric examinations.RESULTS: The grating acuity developed along the first three years of life. It ranged from 1.88±0.32 c/d at 3mo to 30.95±0.77 c/d at 36 mo. The most rapid development was during the first 12 mo and the slowest development was from 30 to 36 mo. The contrast sensitivity showed rapid development in the first two years of life. Its mean value ranged from 4.23±1.17 at 3mo to 78.26±8.21 at 24 mo. It was constant at the highest score(80) thereafter.CONCLUSION: Age norms for grating acuity along with contrast sensitivity offer a more comprehensive measure of spatial vision and should be incorporated in clinical practice for better visual assessment in preverbal and nonverbal children. 展开更多
关键词 grating acuity contrast sensitivity age norms Lea tests preverbal children
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NORMS工程公司的建立和发展
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作者 程良猷 《中国海洋平台》 1990年第4期2-2,45,共2页
NORMS工程公司(南海石油构件机械工程公司)是我国南海石油天然气设备公司与新加坡海洋联合设备维修服务公司合资的中外合资企业,公司设在深圳,成立于1984年底,新方的主要股东是新加坡Levingston船厂(FELS),是世界上一个著名的海洋钻井... NORMS工程公司(南海石油构件机械工程公司)是我国南海石油天然气设备公司与新加坡海洋联合设备维修服务公司合资的中外合资企业,公司设在深圳,成立于1984年底,新方的主要股东是新加坡Levingston船厂(FELS),是世界上一个著名的海洋钻井平台制造厂,在新加坡年营业额达2亿美元以上,NORMS的新方管理人员都是从FELS派出,他们有着近海工程和造船方面的丰富经验,由于中新双方的友好合作,使NORMS公司很快地开拓和发展了近海工程等一系列业务,公司由原来的50人发展到300多人。 展开更多
关键词 海洋钻井平台 近海工程 工程公司 norms 设备公司 中外合资企业 设备维修 服务公司 系列业务 桩腿
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An Analysis of the English Translation of Xi JinPing:The Governance Of China——From The Perspective of Toury's Translation Norms
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作者 薛忠 《海外英语》 2016年第7期135-137,共3页
Xi Jinping:The Governance of China is of great significance in asserting to the world the fundamental policies and statecraft of CPC.Its English translation is analyzed on the basis of Toury's translation norm the... Xi Jinping:The Governance of China is of great significance in asserting to the world the fundamental policies and statecraft of CPC.Its English translation is analyzed on the basis of Toury's translation norm theory,which guide and regulate all the processes in the translation activities.Based on preliminary norms,initial norms and initial norms,factors influencing the choice of source text,the attitude of translators as well as the specific translation strategies in the translation activity are explored with detailed cases. 展开更多
关键词 XI jinping the GOVERNANCE of China TOURY TRANSLATION norms TRANSLATION STRATEGIES
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A Critical Discourse Analysis on the Teacher Behavioral Norms of English Training School
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作者 TONG Xiao-wan 《海外英语》 2015年第4期120-122,共3页
With a Critical Discourse Analysis approach, this essay reveals four types of discourses: discourse of examination, instruction, technology and regulation. Based on the analysis of power relation among those discourse... With a Critical Discourse Analysis approach, this essay reveals four types of discourses: discourse of examination, instruction, technology and regulation. Based on the analysis of power relation among those discourses, a vivid picture of teachers' identity at training-school has been clearly sketched. That is, teacher at training-school is a puppet acting as not only the transmitter of specific knowledge, but also the supervisor of rules and spokesman of institution. 展开更多
关键词 teacher’s identity power relation Critical DISCOURSE Analysis TEACHER BEHAVIORAL norms English training SCHOOL
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Short Stories Translation of The Other Place in the Perspective of Toury1's Theory of Translation Norms
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作者 高林芝 《俪人(教师)》 2016年第12期158-158,共1页
Since 1915, The Best American Short Stories anthology has striven to collect the best short stories written by some of the best-known writers in contemporary American literature. Conducted under the guidance of Gideon... Since 1915, The Best American Short Stories anthology has striven to collect the best short stories written by some of the best-known writers in contemporary American literature. Conducted under the guidance of Gideon Toury’s Theory of Translation Norms and combined with the analysis of the translation of Mary Gaitski llJ s The Other Place,this translation aims to explore how translation norms influence the translation at macro and micro levels. 展开更多
关键词 SHORT STORIES TRANSLATION TOURY TRANSLATION norms
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Inside and Outside Perspectives on the Relation of People’s Personal Values and Their Acceptance of Legal Norms
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作者 Ingwer Borg Dieter Hermann 《Macro Management & Public Policies》 2021年第4期1-13,共13页
Based on a representative survey on crime prevention,this paper studies how personal values are related to persons’acceptance of legal norms(LNA).We here take a closer look at these relations than previous research.O... Based on a representative survey on crime prevention,this paper studies how personal values are related to persons’acceptance of legal norms(LNA).We here take a closer look at these relations than previous research.Offenses,in particular,are classified into different offense types,and the persons’ratings are studied both as observed and as individually centered data.It is found that conservation-oriented persons give higher and less differentiated badness ratings to all offenses than persons striving for hedonism and stimulation.The correlational structure of basic personal values and norm acceptance ratings for 14 different offenses,when represented via multidimensional scaling,exhibits that conservation orientation becomes a better predictor of LNA of all offense types if it is augmented by an additional value,peace of mind.When looking at centered ratings(i.e.,controlling for each person’s mean ratings),social values become the best predictors of offenses such as tax evasion,benefits fraud,or taking bribes.Statements on the impact of personal values on general norm acceptance should,therefore,be replaced with more differentiated relations on how particular values are related to people’s attitudes towards particular offenses. 展开更多
关键词 Norm acceptance Legal norms Norm compliance Personal values
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Continuity and Variability in China's Acknowledgement of International Human Rights Norms
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作者 LIU BO 《The Journal of Human Rights》 2013年第1期27-30,共4页
Since the beginning of the era of reform and opening up, and particularly since the be- ginning of the 21st century,China has achieved great progress in its human rights cause and has made great contributions to the g... Since the beginning of the era of reform and opening up, and particularly since the be- ginning of the 21st century,China has achieved great progress in its human rights cause and has made great contributions to the global hu- man rights cause. On the one hand, China, with its growing economic power, has displayed more self- improvement, self-confidence and self-consciousness, all of which are conducive not only to building the hu- man rights system in China but also pushing forward the international hu- man rights cause. On the other hand, 展开更多
关键词 In Continuity and Variability in China’s Acknowledgement of International Human Rights norms
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Driving Force to Socialize the International Norms of Human Rights
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作者 LIU BO,a researcher at the Foreign Affairs Institute of the Beijing Academy of Social Sciences 《The Journal of Human Rights》 2011年第6期24-28,共5页
Human rights, as a great term and lofty goal, have unquestionably become a topic of mainstream talk in the present-day world.2 Such mainstream talk has been internal- ized into part of the social structure. The curren... Human rights, as a great term and lofty goal, have unquestionably become a topic of mainstream talk in the present-day world.2 Such mainstream talk has been internal- ized into part of the social structure. The current international society is experiencing a profound reorganization and transition in values. All kinds of new interactions under the context of globalization have resulted in the development of the current norms of international human rights, which are constructed on the basis of law and ethics. Therefore, analyzing the dynamic factors of socialization that support the operation of human rights norms in international society has become increasingly important in today's mutually dependent society. 展开更多
关键词 Driving Force to Socialize the International norms of Human Rights
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