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Lattice Centering and Coordination Number02:33

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The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
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Solids in which the atoms, ions, or molecules are arranged in a definite repeating pattern are known as crystalline solids. Metals and ionic compounds typically form ordered, crystalline solids. A crystalline solid has a precise melting temperature because each atom or molecule of the same type is held in place with the same forces or energy. Amorphous solids or non-crystalline solids (or, sometimes, glasses) which lack an ordered internal structure and are randomly arranged. Substances that...
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The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.
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When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...
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Convolution Properties I01:20

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Convolution computations can be simplified by utilizing their inherent properties.
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Picometer-Precision Atomic Position Tracking through Electron Microscopy
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对于良好的格子点套件的一些改进

Yu-Xuan Lin1,2, Tian-Yu Yan3, Kai-Tai Fang2,4

  • 1Research Center for Frontier Fundamental Studies, Zhejiang Lab, Kechuang Avenue, Zhongtai Sub-District, Yuhang District, Hangzhou 311121, China.

Entropy (Basel, Switzerland)
|November 27, 2024
PubMed
概括

通用好的格子点 (GGLP) 集,通过线性级别排列,从好的格子点 (GLP) 集衍生,增强填充空间的特性. 这些改进的GLP集在计算机实验等应用中表现出卓越的性能.

关键词:
弗罗贝尼乌斯距离的距离克里金格模型的模型库尔巴克莱布勒的分歧.进入的过程中,一般化好的网格点集集.一个好的格子点集.线性级别的变量是线性级别的变量最大-最小距离的距离.混合物的不一致性.代表性的点是代表性的点.接纳值的算法可以接受值.

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科学领域:

  • 数学理论是数的理论.
  • 应用数学 应用数学 应用数学
  • 计算统计的计算统计.

背景情况:

  • 良好的格子点 (GLP) 集是数字理论方法,以其填充空间的特性而受到重视.
  • 增强GLP集对于需要更好的分布的应用程序至关重要,特别是对于大型数据集.
  • 现有的GLP套件被广泛使用,但在空间填充能力方面有改进的余地.

研究的目的:

  • 引入和评估通用良好格子点 (GGLP) 集.
  • 评估线性级别排列对GLP集合属性的影响.
  • 通过使用新的施工方法,提高GLP套件的填充空间特性.

主要方法:

  • 使用Kullback-Leibler (KL) 差异来测量GLP和GLP集合分布.
  • 对GLP集进行了线性级别的变换,以创建GLP集.
  • 采用接受值的算法和弗罗贝尼乌斯距离来构建和评估大型GLP集.

主要成果:

  • 通过线性级别排列创建的GGLP集不会减少最大距离标准.
  • 与最初的GLP集相比,GLLP集显示了增强的填充空间特性.
  • KL差异分析表明GGLP集保持分布相似性,特别是在大型数据集中.

结论:

  • 与传统的GLP套件相比,GLP套件提供了更好的填充空间特性.
  • 构建方法,包括接受值的算法,对于生成优越的网格点集是有效的.
  • GGLP集在计算机实验和选择代表点等应用中展示了实际优势.