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The Method of Polynomial Particular Solutions for Solving Nonlinear Poisson-Type Equations
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作者 Zhile Jia Yanhua Cao Xiaoran Wu 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2024年第1期155-165,共11页
In this paper,the method of polynomial particular solutions is used to solve nonlinear Poisson-type partial differential equations in one,two,and three dimensions.The condition number of the coefficient matrix is redu... In this paper,the method of polynomial particular solutions is used to solve nonlinear Poisson-type partial differential equations in one,two,and three dimensions.The condition number of the coefficient matrix is reduced through the implementation of multiple scale technique,ultimately yielding a stable numerical solution.The methodological process can be divided into two main parts:first,identifying the corresponding polynomial particular solutions for the linear differential operator terms in the governing equations,and second,employing these polynomial particular solutions as basis function to iteratively solve the remaining nonlinear terms within the governing equations.Additionally,we investigate the potential improvement in numerical accuracy for equations with singularities in the analytical solution by shifting the computational domain a certain distance.Numerical experiments are conducted to assess both the accuracy and stability of the proposed method.A comparison of the obtained results with those produced by other numerical methods demonstrates the accuracy,stability,and efficiency of the proposed method in handling nonlinear Poisson-type partial differential equations. 展开更多
关键词 Nonlinear equation SINGULARITY Polynomial particular solutions Poisson type
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运用AE的Particular插件制作唯美粒子发散特效 被引量:1
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作者 洪小平 《影视制作》 2019年第10期63-68,共6页
随着影视制作技术的快速发展,一部部令人耳目一新、制作精良的影视剧持续推出,留给观众深刻印象的不仅有引人入胜的剧情画面表达,也有细致精美的片头片尾及细节文字的画面包装,如个性的字幕设计或者唯美的片头片尾包装等。本文将介绍如... 随着影视制作技术的快速发展,一部部令人耳目一新、制作精良的影视剧持续推出,留给观众深刻印象的不仅有引人入胜的剧情画面表达,也有细致精美的片头片尾及细节文字的画面包装,如个性的字幕设计或者唯美的片头片尾包装等。本文将介绍如何运用After Effects CC 2018的Particular插件制作唯美粒子发散特效,达到提升影视中的图片包装效果。 展开更多
关键词 After Effects particular 节目包装
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用particular模拟烟花燃放景象
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作者 王俊峰 赵巧珍 《影视制作》 2015年第1期51-55,共5页
在电影和电视中有时为了剧情的需要,会燃放各种各样的烟花来衬托场景。但烟花的燃放需要耗费大量的人力和物力,因此一般都用软件制作出效果然后再合成到影片中。本文用particular插件来制作烟花燃放的场景,并在场景中增加真实的背景,使... 在电影和电视中有时为了剧情的需要,会燃放各种各样的烟花来衬托场景。但烟花的燃放需要耗费大量的人力和物力,因此一般都用软件制作出效果然后再合成到影片中。本文用particular插件来制作烟花燃放的场景,并在场景中增加真实的背景,使烟花效果更加逼真。 展开更多
关键词 particular 粒子 烟花 发光 烟雾
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用particular制作下雨场景
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作者 王俊峰 赵巧珍 《影视制作》 2013年第3期47-49,共3页
在许多的电影电视片头或者片中特效中,经常会用到particular插件生成的粒子来制作的逼真特效。本文就用particular插件来模拟下雨场景,并在场景中增加真实的背景,使下雨更加真实。
关键词 particular 粒子 下雨 碰撞
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基于AE影视特效软件中Particular插件在3D空间下粒子运动轨迹的研究
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作者 夏忠华 张东亮 《成才之路》 2010年第31期I0015-I0016,共2页
在影视特效设计中,运用After Effects软件中Particu-lar插件滤镜可以制作出各种绚丽多彩的粒子效果。但是,在3D空间下,Particular滤镜生成粒子的运动轨迹是难以控制的,本文将从粒子环绕文字飞舞这一例子出发,对Particular插件的粒子运... 在影视特效设计中,运用After Effects软件中Particu-lar插件滤镜可以制作出各种绚丽多彩的粒子效果。但是,在3D空间下,Particular滤镜生成粒子的运动轨迹是难以控制的,本文将从粒子环绕文字飞舞这一例子出发,对Particular插件的粒子运动轨迹进行深入研究。 展开更多
关键词 AFTER Effects particular 运动轨迹
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利用Trapcode Particular插件在AE中制作往事随风特效 被引量:2
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作者 郦雅玲 徐热 《科技资讯》 2017年第12期148-148,150,共2页
Adobe After Effects因其可以高效且精确地创建无数种引人注目的动态图形和震撼人心的视觉效果在影视后期合成处理中有着普遍的应用。而在通过After Effects进行创作的过程中,各种插件又让人们如虎添翼。在这里,笔者总结了一个利用AE第... Adobe After Effects因其可以高效且精确地创建无数种引人注目的动态图形和震撼人心的视觉效果在影视后期合成处理中有着普遍的应用。而在通过After Effects进行创作的过程中,各种插件又让人们如虎添翼。在这里,笔者总结了一个利用AE第三方插件——Trapcode Particular来制作一个看上去具有一种"往事随风"意味的特效制作方法。 展开更多
关键词 ADOBE After Effects TRAPCODE particular 3D 影视特效
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A New Approach to Measurement of Regional Inequality in Particular Directions 被引量:19
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作者 WANG Yang FANG Chuanglin +1 位作者 XIU Chunliang LIU Daqian 《Chinese Geographical Science》 SCIE CSCD 2012年第6期705-717,共13页
Regional inequality is a core issue in geography,and it can be measured by several approaches and indexes.However,the global inequality measures can not reflect regional characteristics in terms of spatiality and non-... Regional inequality is a core issue in geography,and it can be measured by several approaches and indexes.However,the global inequality measures can not reflect regional characteristics in terms of spatiality and non-mobility,as well as correctly explore regional inequality in particular directions.Although conventional between-group inequality indexes can measure the inequality in particular directions,they can not reflect the reversals of regional patterns and changes of within-group patterns.Therefore,we set forth a new approach to measure regional inequality in particular directions,which is applicable to geographic field.Based on grouping,we established a new index to measure regional inequality in particular directions named Particular Direction Inequality index(PDI index),which is comprised of between-group inequality of all data and between-group average gap.It can reflect regional spatiality and non-mobility,judge the main direction of regional inequality,and capture the changes and reversals of regional patterns.We used the PDI index to measure the changes of regional inequality from 1952 to 2009 in China.The results show that:1) the main direction of China's regional inequality was between coastal areas and inland areas;the increasing extent of inequality between coastal areas and inland areas was higher than the global inequality;2) the PDI index can measure the between-region average gap,and is more sensitive to evolution of within-region patterns;3) the inequality between the northern China and the southern China has been decreasing from 1952 to 2009 and was reversed in 1994 and 1995. 展开更多
关键词 regional inequality inequality indexes PDI index particular directions China
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Sources of Particular Pollutants inAmbient Air at a Petrochemical Enterprise 被引量:1
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作者 Xue Jianliang Zhao Dongfeng +2 位作者 ChengJianguang Chen Lu Liu Wei 《China Petroleum Processing & Petrochemical Technology》 SCIE CAS 2013年第4期33-37,共5页
The study on source apportionment of particular pollutants in ambient air at a petrochemical enterprise is the ba-sis of the control over air pollution. Through analyzing particular pollutants in the samples collected... The study on source apportionment of particular pollutants in ambient air at a petrochemical enterprise is the ba-sis of the control over air pollution. Through analyzing particular pollutants in the samples collected from one petrochemi- cal enterprise in northwestern China, the sources of particular pollutants were discussed. The test results showed that con- centrations of particular pollutants in different sites were remarkably different. Results showed that the sampling sites with higher concentrations of particular pollutants, including toluene, xylenes, NH3 and H2S, were located at the boundary of the petrochemical enterprise. Instead, the concentrations of NMHC in the ambient air sampling sites were higher than those at the boundary of the petrochemical enterprise. The sampling sites with higher concentrations of particular pollutants were located in the area that was close to the petrochemical enterprise. The results obtained from the Pearson correlation co- efficients analyses, the factor analyses, and x^2-tests of the particular pollutants had revealed that NH3, H2S, toluene and xylenes at all sampling sites came from the same source, while NMHC might come from some other sources besides the petrochemical enterprise. 展开更多
关键词 particular pollutants sources apportionment Pearson correlation coefficient
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使用AE表达式和插件Particular制作绚丽礼花效果
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作者 洪小平 《电视字幕.特技与动画》 2009年第6期53-55,共3页
本文主要介绍运用After Effects表达式和插件Particular制作电视片中常用的奇幻绚丽礼花。
关键词 AFTER EFFECTS 表达式 particular
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Evolution of Microalloyed Linepipe Steels With Particular Emphasis on the “Near Stoichiometry” Low Carbon,0.10 Percent Niobium “HTP” Concept
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作者 Gray J.Malcolm 《Journal of Iron and Steel Research International》 SCIE EI CAS CSCD 2011年第S1期652-657,共6页
Microalloyed linepipe steels were first introduced in 1959 at strength levels around 52-60 ksi [1] [2].The steels were generally strengthened by niobium or vanadium used singly.As strengths levels increased to X-70 in... Microalloyed linepipe steels were first introduced in 1959 at strength levels around 52-60 ksi [1] [2].The steels were generally strengthened by niobium or vanadium used singly.As strengths levels increased to X-70 in the early 1970’s niobium and vanadium were used in combination and controlled rolling was introduced on a broad basis.Higher strengths decrease tolerance for impurities and non-metallic inclusions which required improved steelmaking practices.Sulfur,carbon,and nitrogen were reduced and continuous casting was increasingly applied which required improved ladle refining and deoxidation practices.Niobium-molybdenum steels were introduced by IPSCO in 1972 [3] and by Italsider in 1974 [4].Steels with higher niobium contents were also introduced in the early 1970’s but available steelmaking technologies limited the use of optimum niobium to carbon ratios,i.e.those approaching stoichiometry.Nevertheless the steels benefited from the effect of niobium in retarding austenite recrystallization at relatively high rolling temperatures and they developed attractive combinations of strength and toughness in old manufacturing facilities using simple (relaxed) rolling schedules.Fluctuations in the price of molybdenum and vanadium in the past decade and expanded application of API Grade X-80 linepipe,have led to more widespread use of niobium contents up to 0.11 percent,in combination with 0.02-0.03 percent carbon (near stoichiometry) thus maximizing the effects of solute niobium during rolling,in lowering transformation temperature,and thereby reducing reliance on other alloying,often expensive,elements.The history of these developments will be presented and applications of the concept will be summarized. 展开更多
关键词 HTP Low Carbon 0.10 Percent Niobium Near Stoichiometry Evolution of Microalloyed Linepipe Steels With particular Emphasis on the Concept
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Analysis on General-Particular Pattern of an Invitation to Exhibitors
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作者 苏晓娜 《疯狂英语(理论版)》 2016年第3期78-80,共3页
An Invitation to exhibitors is one of the typical exhibition documents.The General-Particular pattern is the common text pattern found in invitations to exhibitors.This paper is an analysis on its way of organization ... An Invitation to exhibitors is one of the typical exhibition documents.The General-Particular pattern is the common text pattern found in invitations to exhibitors.This paper is an analysis on its way of organization and expression from the perspective of text macro structure and aims at summarizing its general laws and features to master the essence of other exhibition documents. 展开更多
关键词 invitation to exhibitors general-particular pattern organizational rules
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The Particularities of Coal-fired MHD Generators
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作者 居兹象 《High Technology Letters》 EI CAS 1997年第1期106-110,共5页
This paper describes the particularities of coal-fired MHD generators in two aspects: the pysical phenomena near the electrode and the mathematical modeling.
关键词 PIE The particularities of Coal-fired MHD Generators IM
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Moral Generalism or Particularism?
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作者 Zahra Khazaei 《Journal of Philosophy Study》 2011年第4期247-257,共11页
Moral generalism and particularism are two positions in meta-ethics which have different views regarding the relation between moral thought and principles. By accepting this relationship, generalists emphasize the nec... Moral generalism and particularism are two positions in meta-ethics which have different views regarding the relation between moral thought and principles. By accepting this relationship, generalists emphasize the necessity of principles in decision making process, and claim that the rationality of moral thought depends on the provision of a suitable supply ofmoral principles. In contrast, particularists have rejected, or at least doubted, the existence of moral principles, and believe that the rationality of moral thought depends on recognizing special features of a case and relevant conditions. This is why, unlike generalists, they use case study method rather than syllogism in decision making process and moral judgment. Consequently, to support their view, particularists commonly resort to holism in the theory of reasons, while atomism is in support of generalism. To evaluate these two attitudes, this study surveys some arguments that particularists and generalists proposed to justify their view and criticize the rival's one, and also explains their positions concerning the epistemological and metaphysical role of moral principles and reasons. Finally, after evaluating their claims, the importance of both approaches in meta-ethics is stressed. 展开更多
关键词 moral generalism moral particularism moral principles moral reasons HOLISM ATOMISM
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Optimal Deployment with Self-Healing Movement Algo-rithm for Particular Region in Wireless Sensor Network
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作者 Fan ZHU Hongli LIU +1 位作者 Shugang LIU Jie ZHAN 《Wireless Sensor Network》 2009年第3期212-221,共10页
Optimizing deployment of sensors with self-healing ability is an efficient way to solve the problems of cov-erage, connectivity and the dead nodes in WSNs. This work discusses the particular relationship between the m... Optimizing deployment of sensors with self-healing ability is an efficient way to solve the problems of cov-erage, connectivity and the dead nodes in WSNs. This work discusses the particular relationship between the monitoring range and the communication range, and proposes an optimal deployment with self-healing movement algorithm for closed or semi-closed area with irregular shape, which can not only satisfy both coverage and connectivity by using as few nodes as possible, but also compensate the failure of nodes by mobility in WSNs. We compute the maximum efficient range of several neighbor sensors based on the dif-ferent relationships between monitoring range and communication range with consideration of the complex boundary or obstacles in the region, and combine it with the Euclidean Minimum Spanning Tree (EMST) algorithm to ensure the coverage and communication of Region of Interest (ROI). Besides, we calculate the location of dead nodes by Geometry Algorithm, and move the higher priority nodes to replace them by an-other Improved Virtual Force Algorithm (IVFA). Eventually, simulation results based-on MATLAB are presented, which do show that this optimal deployment with self-healing movement algorithm can ensure the coverage and communication of an entire region by requiring the least number of nodes and effectively compensate the loss of the networks. 展开更多
关键词 Optimal DEPLOYMENT SELF-HEALING MOVEMENT particular REGION Euclidean Minimum SPANNING Tree (EMST) Improved Virtual Force Algorithm (IVFA)
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GENESIS AND ORE-FORMING PATTERN OF THE PARTICULARLY LARGE LANCHANG MULTIMETAL DEPOSIT IN LANCHANG,YUNNAN, CHINA
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《Geotectonica et Metallogenia》 1994年第Z2期74-75,共2页
关键词 ORE Pb CHINA GENESIS AND ORE-FORMING PATTERN OF THE particularLY LARGE LANCHANG MULTIMETAL DEPOSIT IN LANCHANG YUNNAN
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炫出“华丽乐章”——使用Trapcode Particular实现声音视觉化再现
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作者 郭勇军 《影视制作》 2010年第9期49-51,共3页
声音的视觉化再现有很多方法,例如AE自带的Audio Spectrum和Audio Waveform两个滤镜就可以把声音转化成图形。本例我们通过Trapcode Particular粒子效果来实现声音的图像化再现。制作思路:根据素材建立一个灯光图层,并且匹配灯光与素材... 声音的视觉化再现有很多方法,例如AE自带的Audio Spectrum和Audio Waveform两个滤镜就可以把声音转化成图形。本例我们通过Trapcode Particular粒子效果来实现声音的图像化再现。制作思路:根据素材建立一个灯光图层,并且匹配灯光与素材中的吉它运动。设置灯光层为Trapcode Particular粒子发射器,修改Aux System形成光束,最后添加空气动力场和紊乱场使光束飘逸自然。 展开更多
关键词 TRAPCODE particular 视觉化 再现 Knoll 3D Flar 英雄
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用AE插件Particular打分造蝴蝶聚散效果
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作者 卫宁 《科技经济市场》 2008年第11期13-,共1页
  由千百只五彩缤纷的蝴蝶汇聚而来,成为一只翩翩起舞的大蝴蝶,您见过吗?采用AE插件Particular很容易创作出蝴蝶聚散效果.……
关键词 AE 蝴蝶 particular 插件 滤镜
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用Particular制作流动的云
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作者 熊观霖 《影视制作》 2009年第9期52-53,共2页
在电视包装中,粒子效果的运用越来越广泛。最初我们运用三维软件(如3dsMax、Maya等)制作粒子效果,虽然效果较好,但方法复杂,效率低下;随着后期特效软件(如After Effects、Digital Fusion等)粒子功能越来越强大,从二维粒子到三维粒子效果... 在电视包装中,粒子效果的运用越来越广泛。最初我们运用三维软件(如3dsMax、Maya等)制作粒子效果,虽然效果较好,但方法复杂,效率低下;随着后期特效软件(如After Effects、Digital Fusion等)粒子功能越来越强大,从二维粒子到三维粒子效果,不仅调节方便,甚至可以保存自己调节的粒子效果,建立自己的粒子库,或从网上下载现成的粒子库,极大地方便了粒子效果的制作,使得电视包装的方法手段更加丰富多彩,制作效率大大提高。本文通过实例流动的云的制作,向大家展示一个五彩缤纷的粒子世界,希望通过本文的介绍,大家能够为自己的电视包装增光添彩。 展开更多
关键词 TRAPCODE particular 粒子 流动的云
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The Quantitative Instability of Non-linearity System and the Particularity of Information
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作者 OuYang Shoucheng Wei Ming +1 位作者 Yuan Dongsheng Wang Zengwu 《工程科学(英文版)》 2005年第4期86-91,共6页
The present paper tries to discuss the quantity instability in the non-linearity dynamics equations without the limit of the stability in the dynamics equations. The result shows that the quantity instability of non-l... The present paper tries to discuss the quantity instability in the non-linearity dynamics equations without the limit of the stability in the dynamics equations. The result shows that the quantity instability of non-linearity can be deducted to the turning transformation in the curvature space. “The dynamics of varying acceleration" is not the issue of inertia system in science of the time. The particularity as information cannot limit the quantity instability with the quantity stability in inertia system. The particular information does have the significant meaning related to the turning transformation in evolution, in which each problem of non-linearity or matter evolution can go out of the inertia system by means of “kill three birds with one stone". 展开更多
关键词 非线性动力方程 非线性系统 数量不稳定性 惯性系统
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AE中不同粒子插件交互遮挡效果的实现
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作者 温逸娴 《影视制作》 2025年第6期71-76,共6页
Adobe After Effects软件中经常用到的特效合成插件有Particular、E3D、Form、Plexus等,这些插件各自配备了一套独立的粒子系统。当它们处于同一个合成中时,粒子之间并不会自然融合在一起,而是根据上下图层的关系进行相互遮挡。本文深... Adobe After Effects软件中经常用到的特效合成插件有Particular、E3D、Form、Plexus等,这些插件各自配备了一套独立的粒子系统。当它们处于同一个合成中时,粒子之间并不会自然融合在一起,而是根据上下图层的关系进行相互遮挡。本文深入探讨了不同粒子插件之间相互穿插与遮挡的实现方式,并结合实例阐述制作过程,模拟出两种粒子在同一合成空间中交互融合的逼真效果。 展开更多
关键词 AE 粒子插件 particular E3D 交互
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