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物质性利益与情感性认同:两岸关系和平发展背景下台湾民众“统独”立场的变迁 被引量:1
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作者 姜韬 孙云 易亮 《台湾研究集刊》 CSSCI 北大核心 2019年第6期9-17,共9页
台湾民众的"统独"立场是观察两岸关系与岛内政治的一个重要窗口。本文基于两期"中国效应调查"的数据,借鉴马斯洛的需求层次理论,主要从物质性利益与情感性认同两个维度对两岸关系和平发展背景下台湾民众的"统... 台湾民众的"统独"立场是观察两岸关系与岛内政治的一个重要窗口。本文基于两期"中国效应调查"的数据,借鉴马斯洛的需求层次理论,主要从物质性利益与情感性认同两个维度对两岸关系和平发展背景下台湾民众的"统独"立场展开实证研究。通过对相关因素进行多项logistic回归后发现:在控制了其他变量的情况下,认同因素对"统独"立场具有显著影响,台湾认同越强者越可能支持"独立",但5年来其影响力趋于弱化;利益因素对"统独"立场同样影响显著,从两岸关系发展中获益越多者越可能支持统一,但该影响在2016年已然消失;在2011与2016年两个时点,族群认同对"统独"立场的影响力均要强于经济利益的影响力,现阶段大陆的经济"让利"还不足以压制台湾民众的"自尊"需求。这些发现为今后进一步研究台湾民众的"统独"立场提供了若干思路与方向。 展开更多
关键词 物质利益 族群认同 民族主义 “统独”立场
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论民进党执政时期的日台关系——以两岸“统独”之争为视角 被引量:1
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作者 马千里 《重庆科技学院学报(社会科学版)》 2010年第5期42-44,共3页
民进党执政台湾时期,"统独"之争加剧,两岸关系紧张。与此同时,日台实质性关系深化。通过对相关变量的分析可知,其决定性因素是两岸关系,日台关系的密切度与两岸关系的紧张度成正比。
关键词 民进党 执政时期 日台关系 两岸关系 “统独”之争
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“统独之争”与台湾地区“两岸人民关系条例”的制定
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作者 严泉 陈和丰 《台湾研究》 2015年第3期38-43,共6页
"两岸人民关系条例"制定过程中的"统独之争",无论是立法原则、两岸民事法律适用,还是用语定义,从立法机构的审议过程中不难看出,国民党在统一前景问题上日趋消极与被动,模糊处理一个中国原则。与国民党不同的是,民... "两岸人民关系条例"制定过程中的"统独之争",无论是立法原则、两岸民事法律适用,还是用语定义,从立法机构的审议过程中不难看出,国民党在统一前景问题上日趋消极与被动,模糊处理一个中国原则。与国民党不同的是,民进党在"条例"制定过程中,始终坚持反对一中原则,在立法过程中贯彻"台独"理念。"条例"近年来在促统方面难以有大的修正突破,与制定过程中"统独之争"的作用与影响关系密切。 展开更多
关键词 “统独” “两岸人民关系条例” 台湾省
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A New Approach for on-Line Blind Equalization and Channel Identification
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作者 刘琚 王太君 何振亚 《Journal of Southeast University(English Edition)》 EI CAS 1999年第1期22-27,共6页
A new approach for blind equalization and channel identification is proposed in this paper. The equalization scheme is based on over sampling technique and an independent component analysis network. The equalized seq... A new approach for blind equalization and channel identification is proposed in this paper. The equalization scheme is based on over sampling technique and an independent component analysis network. The equalized sequence and its higher order statistics are used to identify the channel parameters. Compared to traditional equalization methods, the proposed approach is with a simple architecture, and does not need learning sequences. Computer simulations show the validity of the proposed method. 展开更多
关键词 over sampling blind equalization higher order statistics independent component analysis
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Independent Component Analysis Based Blind Adaptive Interference Reduction and Symbol Recovery for OFDM Systems 被引量:4
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作者 LUO Zhongqiang ZHU Lidong LI Chengjie 《China Communications》 SCIE CSCD 2016年第2期41-54,共14页
To overcome the inter-carrier interference (ICI) of orthogonal frequency division multiplexing (OFDM) systems subject to unknown carrier frequency offset (CFO) and multipath, this paper develops a blind adaptive... To overcome the inter-carrier interference (ICI) of orthogonal frequency division multiplexing (OFDM) systems subject to unknown carrier frequency offset (CFO) and multipath, this paper develops a blind adaptive interference suppression scheme based on independent component analysis (ICA). Taking into account statistical independence of subcarriers' signals of OFDM, the signal recovery mechanism is investigated to achieve the goal of blind equalization. The received OFDM signals can be considered as the mixed observation signals. The effect of CFO and multipath corresponds to the mixing matrix in the problem of blind source separation (BSS) framework. In this paper, the ICA- based OFDM system model is built, and the proposed ICA-based detector is exploited to extract source signals from the observation of a received mixture based on the assumption of statistical independence between the sources. The blind separation technique can increase spectral efficiency and provide robustness performance against erroneous parameter estimation problem. Theoretical analysis and simulation results show that compared with the conventional pilot-based scheme, the improved performance of OFDM systems is obtained by the proposed ICA-based detection technique. 展开更多
关键词 orthogonal frequency divisionmultiplexing (OFDM) blind source separation(BSS) independent component analysis (ICA) blind interference suppression symbol recovery
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Non-liD Recommender Systems: A Review and Framework of Recommendation Paradigm Shifting 被引量:8
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作者 Longbing Cao 《Engineering》 SCIE EI 2016年第2期212-224,共13页
While recommendation plays an increasingly critical role in our living, study, work, and entertainment, the recommendations we receive are often for irrelevant, duplicate, or uninteresting products and ser- vices. A c... While recommendation plays an increasingly critical role in our living, study, work, and entertainment, the recommendations we receive are often for irrelevant, duplicate, or uninteresting products and ser- vices. A critical reason for such bad recommendations lies in the intrinsic assumption that recommend- ed users and items are independent and identically distributed (liD) in existing theories and systems. Another phenomenon is that, while tremendous efforts have been made to model specific aspects of users or items, the overall user and item characteristics and their non-IIDness have been overlooked. In this paper, the non-liD nature and characteristics of recommendation are discussed, followed by the non-liD theoretical framework in order to build a deep and comprehensive understanding of the in- trinsic nature of recommendation problems, from the perspective of both couplings and heterogeneity. This non-liD recommendation research triggers the paradigm shift from lid to non-liD recommendation research and can hopefully deliver informed, relevant, personalized, and actionable recommendations. It creates exciting new directions and fundamental solutions to address various complexities including cold-start, sparse data-based, cross-domain, group-based, and shilling attack-related issues. 展开更多
关键词 Independent and identically distributed (liD)Non-liDHeterogeneityCoupling relationshipCoupling learningRelational learningllDness learningNon-IIDness learningRecommender systemRecommendationNon-liD recommendation
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A New Method to Generate the Complete Set of Unique Signals for Application in High Consequence System
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作者 谈顺毅 陈文元 +2 位作者 张卫平 冯敏华 李胜勇 《Journal of Shanghai Jiaotong university(Science)》 EI 2007年第2期172-179,共8页
This paper proposed a new method to generate the complete sets of unique signals.It contains sequences comparing,improved exhaustive searches and ranking method.Characters of this new method are complete set;higher ef... This paper proposed a new method to generate the complete sets of unique signals.It contains sequences comparing,improved exhaustive searches and ranking method.Characters of this new method are complete set;higher effective;independent of certain mathematical constraints.And also some 24 bi-valued events sets generated by this method were discussed and these set are now used in our high consequence system. 展开更多
关键词 unique signal (UQS) comparing table improved exhaustive searches complete set high consequence system
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Signal frequency based self-tuning fuzzy controller for semi-active suspension system 被引量:4
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作者 孙涛 黄震宇 +1 位作者 陈大跃 汤磊 《Journal of Zhejiang University Science》 EI CSCD 2003年第4期426-432,共7页
A new kind of fuzzy control scheme, based on the identification of the signal' s main frequency and the behavior of the ER damper, is proposed to control the semi-active suspension system. This method ad-justs ... A new kind of fuzzy control scheme, based on the identification of the signal' s main frequency and the behavior of the ER damper, is proposed to control the semi-active suspension system. This method ad-justs the fuzzy controller to achieve the best isolation effect by analyzing the main frequency' s characters and inspecting the change of system parameters. The input of the fuzzy controller is the main frequency and the op-timal damping ratio is the output. Simulation results indicated that the proposed control method is very effec-tive in isolating the vibration. 展开更多
关键词 Semi active suspension ER damper Frequency identification Fuzzy controller
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Traditional El Nio and El Ni o Modoki Revisited:Is El Nio Modoki Linearly Independent of Traditional El Nio? 被引量:7
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作者 LI Gen REN Bao-Hua YANG Cheng-Yun ZHENG Jian-Qiu 《Atmospheric and Oceanic Science Letters》 2010年第2期70-74,共5页
The present study revisited the first two leading modes of tropical Pacific sea surface temperature anomalies (SSTA) during the period of 1979-2008. It is suggested that the so-called El Nino Modoki, which is captur... The present study revisited the first two leading modes of tropical Pacific sea surface temperature anomalies (SSTA) during the period of 1979-2008. It is suggested that the so-called El Nino Modoki, which is captured by the second mode, exists objectively and exhibits obvious differences from traditional El Nifio, which is captured by the first mode, in terms of its spatial characteristics. Furthermore, the authors found that El Nino Modoki is linearly independent of traditional El Nino; hence, it cannot be described as part of the traditional El Nino evolution, and vice versa. 展开更多
关键词 El Nifio El Nifio Modoki linear independence
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AN NMF ALGORITHM FOR BLIND SEPARATION OF CONVOLUTIVE MIXED SOURCE SIGNALS WITH LEAST CORRELATION CONSTRAINS
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作者 Zhang Ye Fang Yong 《Journal of Electronics(China)》 2009年第4期557-563,共7页
Most of the existing algorithms for blind sources separation have a limitation that sources are statistically independent. However, in many practical applications, the source signals are non- negative and mutual stati... Most of the existing algorithms for blind sources separation have a limitation that sources are statistically independent. However, in many practical applications, the source signals are non- negative and mutual statistically dependent signals. When the observations are nonnegative linear combinations of nonnegative sources, the correlation coefficients of the observations are larger than these of source signals. In this letter, a novel Nonnegative Matrix Factorization (NMF) algorithm with least correlated component constraints to blind separation of convolutive mixed sources is proposed. The algorithm relaxes the source independence assumption and has low-complexity algebraic com- putations. Simulation results on blind source separation including real face image data indicate that the sources can be successfully recovered with the algorithm. 展开更多
关键词 Nonnegative matrix factorization Convolutive blind source separation Correlation constrain
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Strategy for Synthesis of Flexible Heat Exchanger Networks Embedded with System Reliability Analysis 被引量:4
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作者 依大科 韩志忠 +1 位作者 王克峰 姚平经 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2013年第7期742-753,共12页
System reliability can produce a strong influence on the performance of the heat exchanger network(HEN).In this paper,an optimization method with system reliability analysis for flexible HEN by genetic/simulated annea... System reliability can produce a strong influence on the performance of the heat exchanger network(HEN).In this paper,an optimization method with system reliability analysis for flexible HEN by genetic/simulated annealing algorithms(GA/SA) is presented.Initial flexible arrangements of HEN is received by pseudo-temperature enthalpy diagram.For determining system reliability of HEN,the connections of heat exchangers(HEXs) and independent subsystems in the HEN are analyzed by the connection sequence matrix(CSM),and the system reliability is measured by the independent subsystem including maximum number of HEXs in the HEN.As for the HEN that did not meet system reliability,HEN decoupling is applied and the independent subsystems in the HEN are changed by removing decoupling HEX,and thus the system reliability is elevated.After that,heat duty redistribution based on the relevant elements of the heat load loops and HEX areas are optimized in GA/SA.Then,the favorable network configuration,which matches both the most economical cost and system reliability criterion,is located.Moreover,particular features belonging to suitable decoupling HEX are extracted from calculations.Corresponding numerical example is presented to verify that the proposed strategy is effective to formulate optimal flexible HEN with system reliability measurement. 展开更多
关键词 flexible heat exchanger network synthesis system reliability network decoupling independent subsystem
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Records Method for the Natural Disasters Application to the Storm Events
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作者 Z. Khraibani H.M. Badran H. Khraibani 《Journal of Environmental Science and Engineering》 2011年第5期643-651,共9页
Let {Tn } be a renewal process in R+ representing the successive arrival times of some natural events. We studied this process by using a record process approach under the assumption that the interarrival times T,, =... Let {Tn } be a renewal process in R+ representing the successive arrival times of some natural events. We studied this process by using a record process approach under the assumption that the interarrival times T,, = Tn, - Ta-1, n = 1, 2...are exponentially i.i.d (independent and identically distributed). The goal is to test that the first observed events are sporadic events. For testing the hypothesis "sporadic" we used the non-parametric test based on the probability distribution of the statistic of the number of records N, among{Xx }k-1= where Xk = (ΔTk)-1. We showed that it is independent of the cumulative distribution of the observations and that it is exactly calculated for each n. We illustrated this statistic on a simulated trajectory and we compared it with descriptive smoothing methods. We studied an application to a data set as storms in France and US. 展开更多
关键词 Statistical inference number of records smoothing methods SPORADIC storm.
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Nonlinear Statistical Process Monitoring and Fault Detection Using Kernel ICA 被引量:2
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作者 张曦 阎威武 +1 位作者 赵旭 邵惠鹤 《Journal of Donghua University(English Edition)》 EI CAS 2007年第5期587-593,共7页
A novel nonlinear process monitoring and fault detection method based on kernel independent component analysis(ICA) is proposed.The kernel ICA method is a two-phase algorithm:whitened kernel principal component(KPCA) ... A novel nonlinear process monitoring and fault detection method based on kernel independent component analysis(ICA) is proposed.The kernel ICA method is a two-phase algorithm:whitened kernel principal component(KPCA) plus ICA.KPCA spheres data and makes the data structure become as linearly separable as possible by virtue of an implicit nonlinear mapping determined by kernel.ICA seeks the projection directions in the KPCA whitened space,making the distribution of the projected data as non-gaussian as possible.The application to the fluid catalytic cracking unit(FCCU) simulated process indicates that the proposed process monitoring method based on kernel ICA can effectively capture the nonlinear relationship in process variables.Its performance significantly outperforms monitoring method based on ICA or KPCA. 展开更多
关键词 kernel ICA NONLINEAR fault detection process monitoring FCCU process
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Crawlspace heating system in detached house with insulated foundation
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作者 刘青荣 阮应君 +1 位作者 RYU Yu-ji 任建兴 《Journal of Central South University》 SCIE EI CAS 2012年第3期623-632,共10页
Two practical crawlspace heating systems introduced in detached houses have been chosen as a field study. One is the crawlspace warm air heating system and the other is the crawlspace hot water circulation system. Bas... Two practical crawlspace heating systems introduced in detached houses have been chosen as a field study. One is the crawlspace warm air heating system and the other is the crawlspace hot water circulation system. Based on the field study result, by using the simulation sol, ware, THERB, the effectiveness of the crawlspace warm air heating system has been examined. The effect of the factors, such as the wind amount circulating between crawlspace and indoor space, foundation insulation condition, and heat amount into the crawlspace, on the indoor thermal environment has been analyzed. Based on these analyses, the measured crawlspace heating system can make the average temperature of the living room above 20℃. These two houses have excellent thermal environment. According to the simulating result, heat amount input into crawlspace, which can make comfortable indoor thermal environment, for every month in heating period has been roughly concluded, and they are 600 W in December and March and 800 W in February and January, respectively. 展开更多
关键词 erawlspaee heating system indoor thermal environment detached house floor insulation foundation insulation
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Spatial gust impact analysis on safety and comfort of a train crossing cable-stayed bridge combining statistical method 被引量:1
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作者 ZHANG Yun-fei LI Li 《Journal of Central South University》 SCIE EI CAS CSCD 2022年第8期2605-2620,共16页
In order to study the safety and the comfort of high-speed trains running on a single-tower cable-stayed bridge under spatial gust,a dynamic model of wind-train-bridge analysis model is built based on the autoregressi... In order to study the safety and the comfort of high-speed trains running on a single-tower cable-stayed bridge under spatial gust,a dynamic model of wind-train-bridge analysis model is built based on the autoregressive method,the multi-body dynamics method and the finite element method.On this basis,the influence of spatial gust model loading,the suspension parameters change,wind attack angle and speed on the train-bridge system are analyzed by combining the time/frequency domain analysis and statistical methods.The results show that the spatial gust environment is one of the most important factors affecting safety and comfort and can make the calculation result tend to be conservative and more conducive.The response changes caused by K_(py),K_(px) and K_(sx) changes are nearly linear,while Ksy shows nonlinear characteristics and the most sensitivity.Wind attack angle at 75°and 90°has the greatest influence on the vehicle-bridge system.For ride comfort index,when pre-set wind speed(α=75°)reaches 20 m/s,the vertical acceleration firstly exceeds the limit value;when wind speed(α=90°)reaches 21.5 m/s,the lateral acceleration firstly exceeds the limit value,and the ride comfort of the vehicle cannot be guaranteed.For running safety index,when pre-set wind speed(α=75°)reaches 24.6 m/s,the wheel unloading coefficient firstly exceeds the limit;when pre-set wind speed(α=90°)reaches 24.5 m/s,the derailment coefficient firstly exceeds the limit,and the running safety cannot be guaranteed.The results can provide a suitable reference for the safe and stable operation of trains on the bridge. 展开更多
关键词 wind-train-bridge dynamic system high-speed train crosswind environment single-tower cable-stayed bridge running safety running stability
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Removal of jamming using independent component analysis in non-cooperative passive detection system
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作者 应涛 Huang Gaoming +2 位作者 Shan Hongchang Zuo Wei Gao Jun 《High Technology Letters》 EI CAS 2016年第2期177-182,共6页
Due to electronic jamming transmitted by hostile electromc jamming equtpmcnts tional jamming from other illuminating sources in the complex electromagnetic environment, the per- formance of non-cooperative passive det... Due to electronic jamming transmitted by hostile electromc jamming equtpmcnts tional jamming from other illuminating sources in the complex electromagnetic environment, the per- formance of non-cooperative passive detection systems may degrade it significantly. To solve the problem, a receiving frame with multiple channels for signal preprocessing is designed and a theoret- ical analysis to the received signals in the complex electromagnetic environment is provided. Fur- thermore, a scheme for jamming removal using independent component analysis is proposed. Simula- tion results demonstrate the proposed scheme appears as a very appealing solution for removal of jam- ming and an approximate lOdB signal to distortion ratio over traditional schemes is obtained. 展开更多
关键词 non-cooperative passive detection system jamming removal independent compo-nent analysis (ICA)
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Nonlinear Statistical Process Monitoring Based on Control Charts with Memory Effect and Kernel Independent Component Analysis
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作者 张曦 阎威武 +1 位作者 赵旭 邵惠鹤 《Journal of Shanghai Jiaotong university(Science)》 EI 2007年第5期563-571,共9页
A novel nonlinear combination process monitoring method was proposed based on techniques with memo- ry effect (multivariate exponentially weighted moving average (MEWMA)) and kernel independent component analysis ... A novel nonlinear combination process monitoring method was proposed based on techniques with memo- ry effect (multivariate exponentially weighted moving average (MEWMA)) and kernel independent component analysis (KICA). The method was developed for dealing with nonlinear issues and detecting small or moderate drifts in one or more process variables with autocorrelation. MEWMA charts use additional information from the past history of the process for keeping the memory effect of the process behavior trend. KICA is a recently devel- oped statistical technique for revealing hidden, nonlinear statistically independent factors that underlie sets of mea- surements and it is a two-phase algorithm., whitened kernel principal component analysis (KPCA) plus indepen- dent component analysis (ICA). The application to the fluid catalytic cracking unit (FCCU) simulated process in- dicates that the proposed combined method based on MEWMA and KICA can effectively capture the nonlinear rela- tionship and detect small drifts in process variables. Its performance significantly outperforms monitoring method based on ICA, MEWMA-ICA and KICA, especially for lonu-term performance deterioration. 展开更多
关键词 kernel independent component analysis (KICA) multivariate exponentially weighted moving average(MEWMA) NONLINEAR fault detection process monitoring fluid catalytic cracking unit (FCCU) process
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《“文学台独”批判》(增订本)序言
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作者 金坚范 《世界华文文学论坛》 北大核心 2013年第1期14-16,共3页
《"文学台独"批判》(增订本)一书的编辑出版不但对两岸作家、学者以及海外华文学者、作家所付出的辛劳和智慧进行了一次阶段性的总结,也为今后继续深入批判"文学台独"提供一份信手拈来却弥足珍贵的资料。中国知识... 《"文学台独"批判》(增订本)一书的编辑出版不但对两岸作家、学者以及海外华文学者、作家所付出的辛劳和智慧进行了一次阶段性的总结,也为今后继续深入批判"文学台独"提供一份信手拈来却弥足珍贵的资料。中国知识分子自古就有"天下兴亡、匹夫有责"的历史担当,将正气作为自身追求的重要价值。各位作者参差不同的学养、特点和优长之处,守望相助,相得益彰,便于相互学习,取长补短,共同推进这一领域研究的深入发展。对于广大人民群众而言,反对"台独",维护祖国统一,是义不容辞的历史使命,但他们对于反对"文学台独"的斗争却又知之甚少或茫然不知,甚至"文学台独"这个称谓都是闻所未闻。所以,希望此书能如"旧时王谢堂前燕,飞入寻常百姓家"。 展开更多
关键词 《“文学台独”批判》(增订本) 分离主义势力“统独”之争
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Comparison between fully resolved and time-averaged simulations of particle cloud dispersion produced by a violent expiratory event
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作者 Akim Lavrinenko Alexandre Fabregat Jordi Pallares 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2022年第8期29-40,共12页
In this work we compare the DNS results(Fabregat et al.2021,Fabregat et al.2021)for a mild cough already reported in the literarure with those obtained with a compressible URANS equations with a k-ϵturbulence model.In... In this work we compare the DNS results(Fabregat et al.2021,Fabregat et al.2021)for a mild cough already reported in the literarure with those obtained with a compressible URANS equations with a k-ϵturbulence model.In both cases,the dispersed phase has been modelled as spherical Lagrangian particles using the one-way coupling assumption.Overall,the URANS model is capable of reproducing the observed tendency of light particles under 64µm in diameter to rise due to the action of the drag exerted by the buoyant puff generated by the cough.Both DNS and URANS found that particles above 64µm will tend to describe parabolic trajectories under the action of gravitational forces.Grid independence analysis allows to qualify the impact of increasing mesh resolution on the particle cloud statistics as flow evolves.Results suggest that the k-ϵmodel overpredicts the horizontal displacement of the particles smaller than 64µm while the opposite occurs for the particles larger than 64µm. 展开更多
关键词 CFD Covid-19 DNS URANS Lagrangian particle tracking COUGH Aerosol dispersion
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Social interactions in a solitary carnivore
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作者 L. Mark ELBROCH Howard QUIGLEY 《Current Zoology》 SCIE CAS CSCD 2017年第4期357-362,共6页
In total, 177 of 245 terrestrial carnivores are described as solitary, and much of carnivore ecology is built on the assumptions that interactions between adult solitary carnivores are rare. We employed Global Positio... In total, 177 of 245 terrestrial carnivores are described as solitary, and much of carnivore ecology is built on the assumptions that interactions between adult solitary carnivores are rare. We employed Global Positioning System (GPS) technology and motion-triggered cameras to test predictions of land-tenure territoriality and the resource dispersion hypothesis in a territorial carnivore, the puma Puma concolor. We documented 89 independent GPS interactions, 60% of which occurred at puma kills (n=53), 59 camera interactions, 11 (17%) of which captured courtship behaviors, and 5 other interactions (1 F-F, 3 M-F, and 1 M-M). Mean minimum weekly contact rates were 5.5 times higher in winter, the season when elk Cervus elaphus were aggregated at lower elevations and during which puma courtship primarily occurred. In winter, contacts rates were 0.6_+ 0.3 (standard devi- ation (SD)) interactions/week vs. 0.1 _+ 0.1 (SD) interactions/week during summer. The preponder- ance of interactions at food sources supported the resource dispersion hypothesis, which predicts that resource fluxes can explain temporary social behaviors that do not result in any apparent benefits for the individuals involved. Conspecific tolerance is logical when a prey is so large that the predator that killed it cannot consume it entirely, and thus, the costs of tolerating a conspecific sharing the kill are less than the potential costs associated with defending it and being injured. Puma aggregations at kills numbered as high as 9, emphasizing the need for future research on what explains tolerance among solitary carnivores. 展开更多
关键词 CARNIVORES COMPETITION Puma concolor resource dispersion hypothesis social interactions tolerance.
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