lattices

简明释义

[ˈlætɪsɪz][ˈlætɪsɪz]

n. [建][数]格子;[计]点阵;车削;格栅式门窗;控制格线(lattice 的复数)

英英释义

A lattice is a regular, repeating arrangement of points or objects in space, often used in mathematics and physics to describe structures.

晶格是空间中点或物体的规则、重复排列,常用于数学和物理中描述结构。

In geometry, a lattice can refer to a grid-like structure formed by intersecting lines or planes.

在几何学中,晶格可以指由交叉的线或平面形成的网格状结构。

In the context of materials science, lattices describe the arrangement of atoms in a crystalline solid.

在材料科学中,晶格描述了晶体固体中原子的排列。

单词用法

crystal lattice

晶格,晶体点阵

lattice structure

晶格(格子)结构

同义词

grids

网格

The building's design features a complex grid of beams.

这座建筑的设计具有复杂的梁网格。

frameworks

框架

The framework of the project was carefully planned.

该项目的框架经过精心规划。

networks

网络

We analyzed the network of relationships within the organization.

我们分析了组织内部的关系网络。

structures

结构

The structures in the park are made of sustainable materials.

公园中的结构采用可持续材料建造。

反义词

disorder

无序

The room was in complete disorder after the party.

聚会后房间完全处于无序状态。

chaos

混乱

The chaos in the streets made it difficult to navigate.

街道上的混乱使得行走变得困难。

例句

1.Fred watched as more alien drones crystallized into triangular lattices.

佛瑞德观察到更多的外星人无人机结合成了三角格子。

2.To study the strength of the metallic micro-lattices the team compressed them until they were half as thick.

为了研究金属微格子材料的的强度,研究小组把材料压缩到它厚度的一半。

3.We have discussed the relation of commutator and operator of related on orthomodular lattices.

文章讨论了正交模格上的换位子及关联算子之间的联系。

4.For example, your cellar could include tables, special displays, custom cabinets, archways, lattices or corner alcoves, just to name a few things.

例如,你的酒窖可能包括桌子、展示台、定制柜,拱门,格子或转角凹室等等。

5.Handicrafts specialists fill enamel glaze into lattices formed by fine-spun filigrees.

工艺品专家填珐琅釉为精纺是形成的格。

6.Carbon nanotubes - tiny, hollow cylinders whose walls are lattices of carbon atoms - are about 10, 000 times thinner than a human hair.

碳纳米管-由碳原子晶格组成的细小的,空心圆筒-比人类的头发约薄10000倍。

7.A new method was proposed for constructing fractal interpolation surfaces through points sampled on rectangular lattices.

提出了一种新的分形插值算法,通过矩形剖分上的采样数据点构建分形插值曲面。

8.These openings are covered with metal lattices that filter light and the views, thus enhancing the relation between exterior and interior.

这些开口覆盖着金属格栅,能够让光线和和视线透过,从而增强室内外的联系。

9.These crystal lattices may have imperfections, such as dislocations and vacancies .

这些晶格可能有不完善之处,例如位错和空穴。

10.The architect designed a modern building with glass 格子 for aesthetics.

建筑师设计了一座现代建筑,采用玻璃格子以增强美观。

11.The artist used 格子 patterns in her painting to create depth.

这位艺术家在她的画作中使用了格子图案来创造深度。

12.In the kitchen, we installed metal 格子 for better ventilation.

在厨房,我们安装了金属的格子以改善通风。

13.The garden was beautifully designed with wooden 格子 that supported climbing plants.

花园的设计非常美丽,木制的格子支撑着攀爬植物。

14.The fence around the garden was made of 格子 wood, providing both privacy and style.

围绕花园的栅栏由格子木材制成,既提供隐私又增添风格。

作文

The concept of lattices is fundamental in both mathematics and science. In mathematics, a lattice refers to a structure that organizes points in a regular pattern, often used in the study of algebraic structures. For instance, in geometry, we can visualize a two-dimensional lattice as a grid of points that extends infinitely in all directions. Each point represents a coordinate in a Cartesian plane, and the arrangement of these points can help us understand various properties of geometric shapes. In physics, lattices play a crucial role in solid-state physics, where they describe the arrangement of atoms in crystalline solids. The atomic structure of materials can be represented as a three-dimensional lattice, where each point corresponds to the position of an atom. This arrangement significantly influences the material's properties, such as electrical conductivity, thermal conductivity, and mechanical strength. Understanding the lattices of different materials allows scientists and engineers to design better materials for various applications, from electronics to construction.Furthermore, in the field of computer science, lattices are used in data structures and algorithms. A common application is in the organization of databases, where data can be structured in a hierarchical manner using lattices. This allows for efficient querying and retrieval of information. Additionally, lattices are utilized in cryptography, where they provide a framework for constructing secure encryption schemes. The complexity of problems involving lattices makes them a robust choice for developing cryptographic protocols that are resistant to attacks.In everyday life, we might encounter lattices in various forms, such as in architecture, where they are used to create aesthetically pleasing designs while providing structural support. A classic example is the use of wooden or metal lattices in fences or trellises, which not only serve a functional purpose but also enhance the visual appeal of gardens and outdoor spaces. These lattices can allow plants to climb and grow while maintaining a certain level of privacy and separation between spaces.In conclusion, the term lattices encompasses a wide range of meanings and applications across different fields. Whether we are discussing mathematical structures, atomic arrangements in materials, data organization in computer science, or architectural designs, lattices serve as a vital concept that helps us understand and manipulate the world around us. By studying lattices, we gain insights into the underlying patterns and structures that govern various phenomena, making it an essential topic in both theoretical and practical contexts.

lattices’这个概念在数学和科学中是基础性的。在数学中,‘lattice’指的是一种以规则模式组织点的结构,常用于代数结构的研究。例如,在几何学中,我们可以将二维‘lattice’视为一个在所有方向上无限延伸的点网格。每个点代表笛卡尔平面中的一个坐标,这些点的排列可以帮助我们理解几何形状的各种属性。在物理学中,‘lattices’在固态物理中起着至关重要的作用,它们描述了晶体固体中原子的排列。材料的原子结构可以表示为一个三维‘lattice’,其中每个点对应于一个原子的位置。这种排列显著影响材料的性质,如电导率、热导率和机械强度。理解不同材料的‘lattices’使科学家和工程师能够设计出更好的材料,用于各种应用,从电子产品到建筑。此外,在计算机科学领域,‘lattices’被用于数据结构和算法。一个常见的应用是在数据库的组织中,数据可以使用‘lattices’以层次方式进行结构化。这允许高效地查询和检索信息。此外,‘lattices’还被应用于密码学,为构建安全的加密方案提供框架。涉及‘lattices’的问题的复杂性使它们成为开发抗攻击的密码协议的强大选择。在日常生活中,我们可能会以各种形式遇到‘lattices’,例如在建筑中,它们被用来创建美观的设计,同时提供结构支持。一个经典的例子是木质或金属‘lattices’在围栏或棚架中的使用,它们不仅具有功能目的,还增强了花园和户外空间的视觉吸引力。这些‘lattices’可以让植物攀爬生长,同时保持一定程度的隐私和空间分隔。总之,术语‘lattices’涵盖了不同领域广泛的含义和应用。无论我们讨论数学结构、材料中的原子排列、计算机科学中的数据组织,还是建筑设计,‘lattices’都是一个重要的概念,帮助我们理解和操控周围的世界。通过研究‘lattices’,我们获得了对支配各种现象的基本模式和结构的洞察,使其成为理论和实践背景下的重要主题。