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CHARACTERIZATIONS OF GEOMETRICAL PROPERTIES OF BANACH SPACES USING ψ-DIRECT SUMS
Zhang, Zhihua,Shu, Lan,Zheng, Jun,Yang, Yuling Korean Mathematical Society 2013 대한수학회보 Vol.50 No.2
Let X be a Banach space and ${\psi}$ a continuous convex function on ${\Delta}_{K+1}$ satisfying certain conditions. Let $(X{\bigoplus}X{\bigoplus}{\cdots}{\bigoplus}X)_{\psi}$ be the ${\psi}$-direct sum of X. In this paper, we characterize the K strict convexity, K uniform convexity and uniform non-$l^N_1$-ness of Banach spaces using ${\psi}$-direct sums.
Jun Liu,Dengzhuo Zhang,Min Liu,Tongbao Zhu,Lan Qin,Jingcheng Liu 국제구조공학회 2023 Smart Structures and Systems, An International Jou Vol.32 No.2
In order to improve the measurement accuracy of the 6-dimensional accelerometer, the cross coupling compensation method of the accelerometer needs to be studied. In this paper, the non-linear error caused by cross coupling of piezoelectric sixdimensional accelerometer is compensated online. The cross coupling filter is obtained by analyzing the cross coupling principle of a piezoelectric six-dimensional accelerometer. Linear and non-linear fitting methods are designed. A two-level calibration hybrid compensation algorithm is proposed. An experimental prototype of a piezoelectric six-dimensional accelerometer is fabricated. Calibration and test experiments of accelerometer were carried out. The measured results show that the average nonlinearity of the proposed algorithm is 2.2628% lower than that of the least square method, the solution time is 0.019382 seconds, and the proposed algorithm can realize the real-time measurement in six dimensions while improving the measurement accuracy. The proposed algorithm combines real-time and high precision. The research results provide theoretical and technical support for the calibration method and online compensation technology of the 6-dimensional accelerometer.
Optical Characters Measurement and Simulation of 2D Cross Grating Microstructures of Butterfly Wings
Zhang, Wang,Zhang, Di,Chen, Wei-Xin,Gu, Jia-Jun,Liu, Qin-Lei,Zhu, Shen-Ming,Su, Hui-Lan,Feng, Chuan-Liang,Moon, Won-Jin 한국정밀공학회 2012 International Journal of Precision Engineering and Vol.13 No.9
In this paper, the reflectance of the butterfly wings are measured by using the microspectrophotometer as the optical character with the reflectance on several scales on the wings. Reflectance spectra from different wing scale zones with the same color are dramatically different. And it suggests that the tiny structural difference has the great influence on the reflectance property. In addition, the microstructures of the butterfly wings can be simplified to a 2D crossing grating. By simulating a two-dimensional model using rigorous coupled-wave analysis technique, the optical properties of the butterfly wings were investigated. The simulation results depend strongly on the structural parameters and refractive index. The research will reveal the mechanisms of the structural color of 2D crossing grating butterfly wings.
Physical properties and chemical composition of the cores in the California molecular cloud
Zhang, Guo-Yin,Xu, Jin-Long,Vasyunin, A. I.,Semenov, D. A.,Wang, Jun-Jie,Dib, Sami,Liu, Tie,Liu, Sheng-Yuan,Zhang, Chuan-Peng,Liu, Xiao-Lan,Wang, Ke,Li, Di,Wu, Zhong-Zu,Yuan, Jing-Hua,Li, Da-Lei,Gao, Springer-Verlag 2018 Astronomy and astrophysics Vol.620 No.-
<P><I>Aims.</I> We aim to reveal the physical properties and chemical composition of the cores in the California molecular cloud (CMC), so as to better understand the initial conditions of star formation.</P><P><I>Methods.</I> We made a high-resolution column density map (18.2′′) with <I>Herschel</I> data, and extracted a complete sample of the cores in the CMC with the fellwalker algorithm. We performed new single-pointing observations of molecular lines near 90 GHz with the IRAM 30m telescope along the main filament of the CMC. In addition, we also performed a numerical modeling of chemical evolution for the cores under the physical conditions.</P><P><I>Results.</I> We extracted 300 cores, of which 33 are protostellar and 267 are starless cores. About 51% (137 of 267) of the starless cores are prestellar cores. Three cores have the potential to evolve into high-mass stars. The prestellar core mass function (CMF) can be well fit by a log-normal form. The high-mass end of the prestellar CMF shows a power-law form with an index <I>α</I> = −0.9 ± 0.1 that is shallower than that of the Galactic field stellar mass function. Combining the mass transformation efficiency (<I>ε</I>) from the prestellar core to the star of 15 ± 1% and the core formation efficiency (CFE) of 5.5%, we suggest an overall star formation efficiency of about 1% in the CMC. In the single-pointing observations with the IRAM 30m telescope, we find that 6 cores show blue-skewed profile, while 4 cores show red-skewed profile. [HCO<SUP>+</SUP>]/[HNC] and [HCO<SUP>+</SUP>]/[N2H<SUP>+</SUP>] in protostellar cores are higher than those in prestellar cores; this can be used as chemical clocks. The best-fit chemical age of the cores with line observations is ~5 × 10<SUP>4</SUP> yr.</P>
Removal of the Glycosylation of Prion Protein Provokes Apoptosis in SF126
Chen, Lan,Yang, Yang,Han, Jun,Zhang, Bao-Yun,Zhao, Lin,Nie, Kai,Wang, Xiao-Fan,Li, Feng,Gao, Chen,Dong, Xiao-Ping,Xu, Cai-Min Korean Society for Biochemistry and Molecular Biol 2007 Journal of biochemistry and molecular biology Vol.40 No.5
Although the function of cellular prion protein (PrP$^C$) and the pathogenesis of prion diseases have been widely described, the mechanisms are not fully clarified. In this study, increases of the portion of non-glycosylated prion protein deposited in the hamster brains infected with scrapie strain 263K were described. To elucidate the pathological role of glycosylation profile of PrP, wild type human PrP (HuPrP) and two genetic engineering generated non-glycosylated PrP mutants (N181Q/N197Q and T183A/T199A) were transiently expressed in human astrocytoma cell line SF126. The results revealed that expressions of non-glycosylated PrP induced significantly more apoptosis cells than that of wild type PrP. It illustrated that Bcl-2 proteins might be involved in the apoptosis pathway of non-glycosylated PrPs. Our data highlights that removal of glycosylation of prion protein provokes cells apoptosis.
An Optimized Motion Estimation Algorithm and Application in the FRUC System
Min-Jun Deng,Ping Gan,Zhuo Chen,Xiao-Qing Shen,Dong-Lian Li,Ming-Yan Yu,Yu Zhang,Cai -Lan Zeng,He Huang 보안공학연구지원센터 2015 International Journal of Multimedia and Ubiquitous Vol.10 No.8
Based on the optimized three-step search algorithm. Combining threshold judgment as well as local full search, a more efficient motion estimation algorithm is proposed. The algorithm not only inherited the traditional three-step algorithm’s quick speed but also kept the advantages of a relatively small amount of calculation, besides it can avoid the local optimum problem in the three-step search algorithm (TSS). In addition, the algorithm combined with the threshold judgment and local full search algorithm, so it also maintains satisfactory visual quality. Comparing the algorithm with TSS and local full search algorithm (LFS). The algorithm has great performance in search points and peak signal-to-noise ratio. Experimental results show that compared with LFS, search points drop by 34.61% ~ 54.47% .While compared with the TSS, the search points only rise by 6.15% ~ 12.21%. The average PSNR of proposed Algorithm is 0.24dB higher than LFS and 3.30dB higher than TSS.
Characterizations of geometrical properties of Banach spaces using Ψ-direct sums
Zhihua Zhang,Lan Shu,Jun Zheng,Yuling Yang 대한수학회 2013 대한수학회보 Vol.50 No.2
Let X be a Banach space and Ψ a continuous convex function on ∇K+1 satisfying certain conditions. Let (X⊕X⊕· · ·⊕X)Ψ be the Ψ-direct sum of X. In this paper, we characterize the K strict convexity, K uniform convexity and uniform non-lN 1 -ness of Banach spaces using -direct sums.
Optical Characters Measurement and Simulation of 2D Cross Grating Microstructures of Butterfly Wings
Wang Zhang,Di Zhang,Wei-Xin Chen,Jia-Jun Gu,Qin-Lei Liu,Shen-Ming Zhu,Hui-Lan Su,Chuan-Liang Feng,문원진 한국정밀공학회 2012 International Journal of Precision Engineering and Vol. No.
In this paper, the reflectance of the butterfly wings are measured by using the microspectrophotometer as the optical character with the reflectance on several scales on the wings. Reflectance spectra from different wing scale zones with the same color are dramatically different. And it suggests that the tiny structural difference has the great influence on the reflectance property. In addition, the microstructures of the butterfly wings can be simplified to a 2D crossing grating. By simulating a two-dimensional model using rigorous coupled-wave analysis technique, the optical properties of the butterfly wings were investigated. The simulation results depend strongly on the structural parameters and refractive index. The research will reveal the mechanisms of the structural color of 2D crossing grating butterfly wings.