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dimension FORMULA OF INVARIANT MEASURES ON HYPERBOLIC SETS

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Chinese Science Bulletin 1988年第12期33卷 973-974页

作者：岳澄波 Department of Mathematics Peking University

In many natural phenomena, the long-term behavior of the phase space usually concentrates on certain attractors. What we are interested in is the structure of attractors. dimension is perhaps one of its most important descriptions. The dimension of a set is, roughly speaking, the amount of information needed to specify points on it accurately. The following propositions reveal the relationship between dimension and measure (for Hausdorff dimension HD, see [1]).

关键词： Hausdorff descriptions interested speaking Probability invariant dimension partition perhaps manifold

Another dimension 2021CEDIA案例大赛获奖案例

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家庭影院技术 2022年第8期295卷 108-109页

在2021年的CEDIA案例大赛中,由Boutique AV公司提交的“Another dimension”项目是最大的赢家之一 ,共获得了包括亚洲太平洋地区最佳家庭影院(级别三)、最佳灯光设计等在内的三项大奖。Boutique AV公司将横向设计思维过程与前沿技术相结... 详细信息

在2021年的CEDIA案例大赛中,由Boutique AV公司提交的“Another dimension”项目是最大的赢家之一 ,共获得了包括亚洲太平洋地区最佳家庭影院(级别三)、最佳灯光设计等在内的三项大奖。Boutique AV公司将横向设计思维过程与前沿技术相结合,使他们能够将客户一真正的音频爱好者, 带入另一个视听维度。为了创造一个充满想象力的、不受干扰的观影避风港,客户要求定制化的音频解决方案,既要提供摇滚音乐会级的体验,同时保持音频保真度、声音控制力和音乐会般的照明效果。

关键词：家庭影院灯光设计照明效果 dimension 定制化音频保真度 AV

Geometric Flow Control Lateral Flow Immunoassay Devices (GFC-LFIDs): A New dimension to Enhance Analytical Performance

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Research 2019年第1期2019卷 851-858页

作者： E.Eriksson J.Lysell H.Larsson K.Y.Cheung D.Filippini W.C.Mak Biosensors and Bioelectronics Centre IFM-Linkoping University58183 LinkopingSweden IKE-Linkoping University 58185 LinkopingSweden Optical Devices Laboratory IFM-Linkoping University58183 LinkopingSweden

Te nitrocellulose(NC)membrane based lateral fow immunoassay device(LFID)is one of the most important and widely used biosensor platforms for point-of-care(PoC)***,the analytical performance of LFID has limitations and its optimization is restricted to the bioassay chemistry,the membrane porosity,and the choice of biolabel *** bottom neck technical issues resulted from the fact that the conventional LFID design principle has not evolved for many years,which limited the LFID for advanced biosensor *** we introduce a new dimension for LFID design and optimization based on geometric fow control(GFC)of NC membranes,leading to highly sensitive *** novel approach enables comprehensive fow control via diferent membrane geometric features such as the width(θ)and the length(l)of a constriction,as well as its input angle(θ_(1))and output angle(θ_(2)).Te GFC-LFID(θ=0.5 mm,l=7 mm,θ_(1)=60∘,θ_(2)=45∘)attained a 10-fold increase in sensitivity for detection of interleukin-6(IL-6),compared with conventional LFID,whereas reducing by 10-fold the antibody *** GFC-LFID detects IL-6 over a linear range of 0.1–10 ng/mL with a limit of detection(LoD)of 29 pg/mL,which even outperforms some commercial IL-6 *** signifcant improvement is attained by pure geometric control of the NC membrane,without additives,that only relaying on a simple high throughput laser ablation procedure suitable for integration on regular large-scale manufacturing of *** new development on GFC-LFID with the combination of facile scalable fabrication process,tailored fow control,improved analytical performance,and reduced antibodies consumption is likely to have a signifcant impact on new design concept for the LFID industry.

关键词： dimension optimization porosity

Dual dimension Expansion

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Contemporary International Relations 2004年第2期14卷 1-26页

作者： Li Wei Yang Mingjie Chen Jiejun Gao Ying Shi Gang

Grbner bases in difference-differential modules and difference-differential dimension polynomials

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Science China Mathematics 2008年第9期51卷 1732-1752页

作者： Franz WINKLER RISC-Linz J. Kepler University Linz A-4040 Linz Austria

In this paper we extend the theory of Grbner bases to difference-differential modules and present a new algorithmic approach for computing the Hilbert function of a finitely generated difference-differential module equipped with the natural filtration. We present and verify algorithms for construct-ing these Grbner bases counterparts. To this aim we introduce the concept of "generalized term order" on Nm ×Zn and on difference-differential modules. Using Grbner bases on difference-differential mod-ules we present a direct and algorithmic approach to computing the difference-differential dimension polynomials of a difference-differential module and of a system of linear partial difference-differential equations.

关键词： Grbner basis generalized term order difference-differential module difference-differential dimension polynomial

Texture Filters and Fractal dimension on Image Segmentation

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Journal of Signal and Information Processing 2018年第3期9卷 229-238页

作者： Beatriz Marrón Universidad Nacional del Sur Bahía Blanca Argentina

Texture analysis is important in several image segmentation and classification problems. Different image textures manifest themselves by dissimilarity in both the property values and the spatial interrelationships of their component texture primitives. We use this fact in a texture discrimination system. This paper focuses on how to apply texture operators based on co-occurrence matrix, texture filters and fractal dimension to the problem of object recognition and image segmentation.

关键词： Textural Features Co-Occurrence Matrix Texture Spectrum Texture Classification Fractal dimension

Fractal dimension Based Shot Transition Detection in Sport Videos

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Journal of Software Engineering and Applications 2011年第4期4卷 235-243页

作者： Efnan Sora Gunal Selcuk Canbek Nihat Adar 不详

Increase in application fields of video has boosted the demand to analyze and organize video libraries for efficient scene analysis and information retrieval. This paper addresses the detection of shot transitions, which plays a crucial role in scene analysis, using a novel method based on fractal dimension (FD) that carries information on roughness of image intensity surface and textural structure. The proposed method is tested on sport videos including soccer and tennis matches that contain considerable amount of abrupt and gradual shot transitions. Experimental results indicate that the FD based shot transition detection method offers promising performance with respect to pixel and histogram based methods available in the literature.

关键词： Scene Analysis Shot Transition Fractal dimension Differential Box Counting

Global Attractor of Two-dimensional Strong Damping KDV Equation and Its dimension Estimation

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Applied Mathematics 2014年第1期5卷 7-15页

作者： Cheng Zhang Guoguang Lin Mathematical of Yunnan University Kunming China

Firstly, a priori estimates are obtained for the existence and uniqueness of solutions of two dimensional KDV equations, and prove the existence of the global attractor, finally get the upper bound estimation of the H... 详细信息

关键词： KDV Equation Strongly Damped Existence Global Attractor dimension Estimation

Global Attractors and dimension Estimation of the 2D Generalized MHD System with Extra Force

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Applied Mathematics 2015年第4期6卷 724-736页

作者： Zhaoqin Yuan Liang Guo Guoguang Lin Department of Mathematics Yunnan University Kunming China

In this paper, firstly, some priori estimates are obtained for the existence and uniqueness of solu-tions of a two dimensional generalized magnetohydrodynamic (MHD) system. Then the existence of the global attractor i... 详细信息

关键词： MHD System Existence Global Attractor dimension Estimation