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Metrically regular mappings and its application to convergence analysis of a confined Newton-type method for nonsmooth generalized equations

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Science China Mathematics 2020年第1期63卷 39-60页

作者： Mohammed Harunor rashid Ya-xiang Yuan Institute of Computational Mathematics and Scientific/Engineering Computing Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190China Department of Mathematics Faculty of ScienceUniversity of Rajshahi 6205Bangladesh

Notion of metrically regular property and certain types of point-based approximations are used for solving the nonsmooth generalized equation f(x)+F(x)?0,where X and Y are Banach spaces,and U is an open subset of X,f:U→Y is a nonsmooth function and F:X■Y is a set-valued mapping with closed *** introduce a confined Newton-type method for solving the above nonsmooth generalized equation and analyze the semilocal and local convergence of this ***,under the point-based approximation of f on U and metrically regular property of f+F,we present quadratic rate of convergence of this ***,superlinear rate of convergence of this method is provided under the conditions that f admits p-point-based approximation on U and f+F is metrically *** example of nonsmooth functions that have p-point-based approximation is ***,a numerical experiment is given which illustrates the theoretical result.

关键词： set-valued mappings generalized equations metrically regular mapping semilocal convergence point-based approximation

On Generalization of Cycles and Chordality to Clutters from an Algebraic Viewpoint

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Algebra Colloquium 2017年第4期24卷 611-624页

作者： Ashkan Nikseresht rashid Zaare-Nahandi Department of Mathematics Institute for Advanced Studies in Basic Sciences P.O. Box 45195-1159 Zanjan Iran

In this paper, we study the notion of chordality and cycles in clutters from a commutative algebraic point of view. The corresponding concept of chordality in commutative algebra is having a linear resolution. We mainly consider the generalization of chordality proposed by Bigdeli et al. in 2017 and the concept of cycles introduced by Can- non and Faridi in 2013, and study their interrelations and algebraic interpretations. In particular, we investigate the relationship between chordality and having linear quotients in some classes of clutters. Also, we show that if e is a clutter such that （） is a vertex decomposable simplicial complex or I（） is squarefree stable, then is chordal.

关键词： chordal clutter squarefree monomial ideal linear resolution cycle simplicialcomplex

One-dimensional quantum walks with a position-dependent coin

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Communications in Theoretical Physics 2020年第6期72卷 18-28页

作者： rashid Ahmad Uzma Sajjad Muhammad Sajid Department of Physics Kohat University of Science and TechnologyKohat 26000Khyber-PakhtunkhwaPakistan

We investigate the evolution of a discrete-time one-dimensional quantum walk driven by a position-dependent *** rotation angle,which depends upon the position of a quantum particle,parameterizes the coin *** different values of the rotation angle,we observe that such a coin leads to a variety of probability distributions,***,periodic,classicallike,semi-classical-like,and ***,we study the Shannon entropy associated with position and the coin space of a quantum particle,and compare them with the case of the position-independent *** results show that the entropy is smaller for most values of the rotation angle as compared to the case of the position-independent *** also study the effect of entanglement on the behavior of probability distribution and Shannon entropy by considering a quantum walk with two identical position-dependent entangled *** observe that in general,a wave function becomes more localized as compared to the case of the positionindependent coin and hence the corresponding Shannon entropy is *** results show that a position-dependent coin can be used as a controlling tool of quantum walks.

关键词： quantum walk position-dependent coin Shannon entropy

Effect of alkyl chain length on the thermophysical properties of pyridinium carboxylates

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Chinese Journal of Chemical Engineering 2017年第9期25卷 1266-1272页

作者： Tazien rashid Chong Fai Kait Thanabalan Murugesan Department of Chemical Engineering Universiti Teknologi PETRONAS Bandar Seri Iskandar Fundamental and Applied Sciences Department Universiti Teknologi PETRONAS Bandar Seri Iskandar

In the present study, new series of pyridinium carboxylate protic ionic liquids(PILs) were synthesized by pairing pyridinium cation with carboxylate anion from C_1–C_3 forming pyridinium formate([C_5H_6N^+][HCOO^-]),pyridinium acetate([C_5H_6N^+][CH_3COO^-]) and pyridinium propionate([C_5H_6N^+][CH_3CH_2COO^-]) *** physical properties namely, density, viscosity, surface tension(298.15–343.15) K, and refractive index(293.15–323.15) K were measured. Thermal properties namely, glass transition temperature, molar heat capacity, and thermal decomposition temperatures were also determined. The thermal expansivity was calculated using the experimental density data. The effect of increasing the alkyl chain length on the thermophysical properties of the pyridinium carboxylate PILs has been evaluated. As expected the physical properties i.e. density,viscosity, surface tension and refractive index of the investigated pyridinium carboxylates decreased with increasing temperature. In general pyridinium carboxylate PILs possessed low viscosity, high thermal stability and excellent hydrogen bonding capability, and these properties lead them to outperform conventional solvents employed for lignin dissolution.

关键词： Protic ionic liquids Pyridine Carboxylic acids Anion Physicochemical properties

Physical Properties of Ⅲ-Antiminodes—a First Principles Study

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Communications in Theoretical Physics 2009年第9期52卷 527-533页

作者： rashid Ahmed Fazal-e-Aleem S.Javad Hashemifar Haris rashid H.Akbarzadeh Centre for High Energy Physics University of the Punjab Department of Physics Isfahan University of Technology

A comprehensive first principles study of III-Antimonide binary compounds is hardly found in literature. We report a broad study of structural and electronic properties of boron antimonide （BSb）, aluminium antimonide （AlSb）, gallium antimonide （GaSb） and indium antimonide （InSb） in zineblende phase based on density functional theory （DFT）. Our calculations are based on Full-PotentiM Lineaxized Augmented Plane wave plus local orbitals （FP- L（APWq-lo）） method. Different forms of exchange-correlation energy functional and corresponding potential are employed for structural and electronic properties. Our computed results for lattice parameters, bulk moduli, their pressure derivatives, and cohesive energy are consistent with the available experimental data. Boron antimonide is found to be the hardest compound of this group. For band structure calculations, in addition to LDA and GGA, we used GGA-EV, an approximation employed by Engel and Vosko. The band gap results with GGA-EV are of significant improvement over the earlier work.

关键词： III-antimonides DFT FPLAPW exchange correlation functional structural properties of solids band structure of crystalline solids

A review and taxonomy of wind and solar energy forecasting methods based on deep learning

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能源与人工智能(英文) 2021年第2期4卷 136-160页

作者： Ghadah Alkhayat rashid Mehmood Department of Computer Information Systems Faculty of Computing and Information TechnologyKing Abdulaziz UniversityJeddah 21589Saudi Arabia High Performance Computing Centre King Abdulaziz UniversityJeddah 21589Saudi Arabia

Renewable energy is essential for planet *** energy output forecasting has a significant impact on making decisions related to operating and managing power *** prediction of renewable energy output is vital to ensure grid reliability and permanency and reduce the risk and cost of the energy market and *** learning’s recent success in many applications has attracted researchers to this field and its promising potential is manifested in the richness of the proposed methods and the increasing number of *** facilitate further research and development in this area,this paper provides a review of deep learning-based solar and wind energy forecasting research published during the last five years discussing extensively the data and datasets used in the reviewed works,the data pre-processing methods,deterministic and probabilistic methods,and evaluation and comparison *** core characteristics of all the reviewed works are summarised in tabular forms to enable methodological *** current challenges in the field and future research directions are *** trends show that hybrid forecasting models are the most used in this field followed by Recurrent Neural Network models including Long Short-Term Memory and Gated Recurrent Unit,and in the third place Convolutional Neural *** also find that probabilistic and multistep ahead forecasting methods are gaining more ***,we devise a broad taxonomy of the research using the key insights gained from this extensive review,the taxonomy we believe will be vital in understanding the cutting-edge and accelerating innovation in this field.

关键词： Deep learning Renewable energy forecasting Solar energy Wind energy Taxonomy Hybrid methods

Computationally efficient locality-aware interconnection topology for multi-processor system-on-chip(MP-SoC)

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Chinese Science Bulletin 2010年第29期55卷 3363-3371页

作者： Haroon-Ur-rashid Khan School of Computer Sicence and Technology Beijing Institute of Technology

This paper evaluates the Triplet Based Architecture,TriBA-a new idea in chip multiprocessor architectures and a class of Direct Interconnection Network(DIN).TriBA consists of a 2D grid of small,programmable processing units,each physically connected to its three neighbors so that advantageous features of group locality can be fully and efficiently *** communication model can be well characterized by locality properties and,any topology has its intrinsic,structural,locality *** propose a new criterion in performance evaluation that is based on the concept of locality in an interconnection network,the "lower layer complete connect".Our proposed criterion depicts how completely a processing node is connected to all its *** is compared with 2D Mesh and Binary Tree as static interconnection *** comparison/evaluation is enumerated from three orthogonal view points,viz.,computational speed,physical layout and *** analysis concludes that TriBA is computationally efficient interconnection strategy that exploits group locality in processing nodes.

关键词：互连网络系统级芯片拓扑结构多处理器计算效率局部性 SoC MP

Long Non-coding RNAs in the Cytoplasm

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Genomics, Proteomics & Bioinformatics 2016年第2期14卷 73-80页

作者： Farooq rashid Abdullah Shah Ge Shan CAS Key Laboratory of Innate Immunity and Chronic Disease CAS Center for Excellence in Molecular Cell ScienceSchool of Life Sciences University of Science and Technology of China

An enormous amount of long non-coding RNAs（lnc RNAs） transcribed from eukaryotic genome are important regulators in different aspects of cellular events. Cytoplasm is the residence and the site of action for many lncRNAs. The cytoplasmic lncRNAs play indispensable roles with multiple molecular mechanisms in animal and human cells. In this review, we mainly talk about functions and the underlying mechanisms of lncRNAs in the cytoplasm. We highlight relatively well-studied examples of cytoplasmic lncRNAs for their roles in modulating mRNA stability,regulating m RNA translation, serving as competing endogenous RNAs, functioning as precursors of microRNAs, and mediating protein modifications. We also elaborate the perspectives of cytoplasmic lncRNA studies.

关键词： IncRNA mRNA stability mRNA translation ceRNA MicroRNA

Rare earth element geochemistry of the Permo-Carboniferous clastic sedimentary rocks from the Spiti Region,Tethys Himalaya:significance of Eu and Ce anomalies

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Chinese Journal Of Geochemistry 2015年第2期34卷 252-264页

作者： Javid Ahmad Ganai Shaik Abdul rashid Department of Geology Aligarh Muslim University

包括沙岩和联系页岩， Siliciclastic 沉积岩石 NW Tethys Himalaya 从 Permo 含碳的 Kanawar 组织， Spiti 区域，印度 geochemically 被检验在 Himalaya 在上面的大陆人外壳中监视进化变化。岩石被一致稀土元素元素(REE ) 描绘有轻 R... 详细信息

包括沙岩和联系页岩， Siliciclastic 沉积岩石 NW Tethys Himalaya 从 Permo 含碳的 Kanawar 组织， Spiti 区域，印度 geochemically 被检验在 Himalaya 在上面的大陆人外壳中监视进化变化。岩石被一致稀土元素元素(REE ) 描绘有轻 REE 丰富的模式(La N /Yb N ?=?5.328.2) 和完全重的 REE 模式。REE 价值高(多达 281 ? ppm ) 与大否定 Eu 异例(avg。Eu/Eu *?=? 0.57 ) 。沉积的 REE 特征类似于 Archean 以后澳大利亚人页岩和北美的页岩的那些合成。La/Th 价值(avg。2.34 ) 对应于一相对陆上的火的岩石标准的 felsic 作文(G-1 的 La/Th ?=? 2.3 ) 。沉积的发展 felsic 作文可能在来源联系到普遍酸的活动。REE 模式和 Th/U 价值似乎被沉积环境以及由起源影响了。在一些沉积的积极 Ce 异例的存在可以是 post-depositional 过程的结果。而且， Permo 含碳的沉积显示甚至在短运输距离上，水力的排序能够集中足够的附件阶段影响 REE 作文并且开发否定 Eu 异例。高 REE， La/Yb，和 Th/U 内容和大否定 Eu 异例表明沉积在氧化环境被扔，建议地表的环境变得在在印度 craton 的含碳二叠的边界附近氧化。

关键词：稀土元素地球化学特提斯喜马拉雅石炭二叠系 Ce异常碎屑沉积岩 Eu 氧化环境硅质沉积岩