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On the convergence of the UOBYQA method
Lixing Han,Guanghui Liu 한국전산응용수학회 2004 Journal of applied mathematics & informatics Vol.16 No.-
We analyze the convergence properties of Powell’s UOBYQAmethod. A distinguished feature of the method is its use of two trust regionradii. We rst study the convergence of the method when the objectivefunction is quadratic. We then prove that it is globally convergent forgeneral objective functions when the second trust region radius ρconvergesto zero. This gives a justication for the use ofρas a stopping criterion.Finally, we show that a variant of this method is superlinearly convergentwhen the objective function is strictly convex at the solution.
ON THE CONVERGENCE OF THE UOBYQA METHOD
Han, Lixing,Liu, Guanghui 한국전산응용수학회 2004 Journal of applied mathematics & informatics Vol.16 No.1
We analyze the convergence properties of Powell's UOBYQA method. A distinguished feature of the method is its use of two trust region radii. We first study the convergence of the method when the objective function is quadratic. We then prove that it is globally convergent for general objective functions when the second trust region radius p converges to zero. This gives a justification for the use of p as a stopping criterion. Finally, we show that a variant of this method is superlinearly convergent when the objective function is strictly convex at the solution.
Integrated mRNA and miRNA profile expression in livers of Jinhua and Landrace pigs
Minjie Huang,Lixing Cheng,Yifei Shen,Jiucheng Chen,Xiaoling Guo,Ningying Xu 아세아·태평양축산학회 2019 Animal Bioscience Vol.32 No.10
Objective: To explore the molecular mechanisms of fat metabolism and deposition in pigs, an experiment was conducted to identify hepatic mRNAs and miRNAs expression and determine the potential interaction of them in two phenotypically extreme pig breeds. Methods: mRNA and miRNA profiling of liver from 70-day Jinhua (JH) and Landrace (LD) pigs were performed using RNA sequencing. Blood samples were taken to detect results of serum biochemistry. Bioinformatics analysis were applied to construct differentially expressed miRNA-mRNA network. Results: Serum total triiodothyronine and total thyroxine were significantly lower in Jinhua pigs, but the content of serum total cholesterol (TCH) and low-density lipoprotein cholesterol were strikingly higher. A total of 467 differentially expressed genes (DEGs) and 35 differentially expressed miRNAs (DE miRNAs) were identified between JH and LD groups. Gene ontology analysis suggested that DEGs were involved in oxidation-reduction, lipid biosynthetic and lipid metabolism process. Interaction network of DEGs and DE miRNAs were constructed, according to target prediction results. Conclusion: We generated transcriptome and miRNAome profiles of liver from JH and LD pig breeds which represent distinguishing phenotypes of growth and metabolism. The potential miRNA-mRNA interaction networks may provide a comprehensive understanding in the mechanism of lipid metabolism. These results serve as a basis for further investigation on biological functions of miRNAs in the porcine liver.
Acupuncture for Pain Management in Evidence-based Medicine
Zhipeng Ning,Lixing Lao 사단법인약침학회 2015 Journal of Acupuncture & Meridian Studies Vol.8 No.5
Pain is an enormous and prevalent problem that troubles people of all ages worldwide. The effectiveness of acupuncture for pain management has been strongly verified by large randomized controlled trials (RCTs) and meta-analyses. Increasing numbers of patients with pain have accepted acupuncture treatment worldwide. However, some challenges exist in establishing evidence for the efficacy of acupuncture. A more applicable and innovative research methodology that can reflect the effect of acupuncture in the settings of daily clinical practice needs to be developed.
Arrays of horizontal carbon nanotubes of controlled chirality grown using designed catalysts
Zhang, Shuchen,Kang, Lixing,Wang, Xiao,Tong, Lianming,Yang, Liangwei,Wang, Zequn,Qi, Kuo,Deng, Shibin,Li, Qingwen,Bai, Xuedong,Ding, Feng,Zhang, Jin Macmillan Publishers Limited, part of Springer Nat 2017 Nature Vol.543 No.7644
<P>The semiconductor industry is increasingly of the view that Moore's law-which predicts the biennial doubling of the number of transistors per microprocessor chip-is nearing its end(1). Consequently, the pursuit of alternative semiconducting materials for nanoelectronic devices, including single-walled carbon nanotubes (SWNTs), continues(2-4). Arrays of horizontal nanotubes are particularly appealing for technological applications because they optimize current output. However, the direct growth of horizontal SWNT arrays with controlled chirality, that would enable the arrays to be adapted for a wider range of applications and ensure the uniformity of the fabricated devices, has not yet been achieved. Here we show that horizontal SWNT arrays with predicted chirality can be grown from the surfaces of solid carbide catalysts by controlling the symmetries of the active catalyst surface. We obtained horizontally aligned metallic SWNT arrays with an average density of more than 20 tubes per micrometre in which 90 per cent of the tubes had chiral indices of (12, 6), and semiconducting SWNT arrays with an average density of more than 10 tubes per micrometre in which 80 per cent of the nanotubes had chiral indices of (8, 4). The nanotubes were grown using uniform size Mo2C and WC solid catalysts. Thermodynamically, the SWNT was selectively nucleated by matching its structural symmetry and diameter with those of the catalyst. We grew nanotubes with chiral indices of (2m, m) (where m is a positive integer), the yield of which could be increased by raising the concentration of carbon to maximize the kinetic growth rate in the chemical vapour deposition process. Compared to previously reported methods, such as cloning(5,6), seeding(7,8) and specific-structure-matching growth(9-11), our strategy of controlling the thermodynamics and kinetics offers more degrees of freedom, enabling the chirality of as-grown SWNTs in an array to be tuned, and can also be used to predict the growth conditions required to achieve the desired chiralities.</P>
Preparation of Mo2C– carbon nanomaterials for hydrogen evolution reaction
Sathish Reddy,Li Song,Lixing Kang,Quinliang Feng,Ran Du,Jin Zhang,Liumin He,Ramakrishna Seeram 한국탄소학회 2019 Carbon Letters Vol.29 No.3
Highly active, stable and low-cost noble metal-free electrocatalysts are essential for production of hydrogen. However, preparation of such catalysts is still highly challenging so far. In this work, the Mo2C– carbon nanomaterials have been prepared by controlled thermal technique. By controlling concentration of the reactants in the experimental condition, the Mo2C– carbon nanomaterials have been fabricated, which leads to decreases in contact resistance b/w Mo2C– carbon nanomaterials and graphitic carbon atoms. As a result, the Mo2C– carbon nanomaterial electrode shows remarkable activity for hydrogen evolution reactions with a small onset overpotential of 95 mV, a Tafel slope of 62 mV dec−1, an high exchange current density of 0.32 mA cm−2, good stability during long-term 1000 cycles and exhibits long-term durability for several days. This study opens a new method for the preparation of highly active non-noble electrode for production of hydrogen from water splitting.