hypercube

简明释义

英[/ˈhaɪpərˌkjub/]美[/ˈhaɪpərˌkjub/]

n. 超立方体

英英释义

单词用法

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反义词

例句

1.In order to deal with the problem of fault tolerant routing on exchanged hypercube, the concept of the neighbor sets of present node is defined.

为了研究交换超立方体网络容错路由问题，引入了相邻结点集合类的概念，提出了相邻结点集的求解公式。

2.The application results of the improved algorithm are verified by searching Latin hypercube optimal design of varying scales under different optimization criteria.

通过不同规模和不同优化准则的拉丁超立方体最优实验设计，验证改进算法的应用效果。

3.We study validity and safeguard on fault tolerant routing on hypercube networks.

本文研究了超立方体网络中容错路由算法的有效性及其保障机制。

4.On the other hand, Latin hypercube important sampling technique was presented to consider the tail of distribution.

另一方面，为顾及概率分布的尾部特征，提出拉丁超立方重要抽样技术。

5.A practicable hypercube multi-microprocessor system design is presented with more details of its communication control board.

最后给出一个实用超立方体多微处理机系统的设计，着重讨论了其通信控制板的设计。

6.This paper discusses the parallel FFT algorithm on the hypercube architecture. Based on the analysis of the communication complexity, the speedup of the algorithm is derived.

本文讨论超立方体结构上的并行fft算法，着重分析算法的通信复杂性，并在此基础上导出算法的加速比。

7.Several topologies have been designed and tested, including the interconnection of nodes in a hypercube configuration, similar to the way nodes are interconnected in a mesh network.

已经有几种拓扑结构被设计出来并做过试验，其中一个是以超级立方配置互连节点，与网状网络中节点互连的方式类似。

8.In this paper, the wide-diameter of generalized hypercube is proved in two ways whose difference is to use mathematical induction and constructing method to prove the inequation (1).

论文用两种方法给出了广义超立方体网络宽直径的具体证明，而两种方法的主要区别在于分别采用数学归纳法和直接构造法证明了不等式(1)。

9.Parallel fault tolerant routing algorithms in hypercube networks with a large number of faulty nodes are studied.

研究了具有大量错误结点的超立方体网络中的并行容错路由算法。

10.Researchers are using hypercube 超立方体 networks to improve the efficiency of parallel computing.

研究人员正在使用 hypercube 超立方体 网络来提高并行计算的效率。

11.The hypercube 超立方体 structure is used in various fields, including mathematics and computer networking.

在数学和计算机网络等多个领域中，都使用 hypercube 超立方体 结构。

12.In computer science, a hypercube 超立方体 is often used to model multi-dimensional data structures.

在计算机科学中，hypercube 超立方体 常用于建模多维数据结构。

13.The concept of a hypercube 超立方体 can be difficult to visualize beyond three dimensions.

超出三维的情况下，hypercube 超立方体 的概念可能难以可视化。

14.In a four-dimensional hypercube 超立方体, each vertex connects to eight other vertices.

在四维的 hypercube 超立方体 中，每个顶点连接到八个其他顶点。

作文

In the realm of mathematics and geometry, the concept of a hypercube is both fascinating and complex. A hypercube, also known as an n-cube, is a generalization of a three-dimensional cube to higher dimensions. While we are familiar with the traditional cube, which has six square faces, a hypercube extends this idea into four or more dimensions. For instance, a 4-dimensional hypercube is called a tesseract, which can be difficult to visualize since our brains are wired to perceive only three spatial dimensions. The study of hypercubes is not just an academic exercise; it has practical applications in various fields, including computer science, physics, and data analysis. In computer science, hypercubes are used in parallel computing architectures, where they provide an efficient way to connect multiple processors. The structure allows for quick communication between processors, which is essential for high-performance computing tasks.In the field of physics, hypercubes can help in understanding concepts related to higher-dimensional spaces. For example, string theory posits that the universe may have more than the three dimensions we perceive, and hypercubes serve as a mathematical framework for exploring these additional dimensions. This exploration can lead to new insights about the fundamental nature of reality.Moreover, in data analysis and machine learning, hypercubes can represent multi-dimensional datasets. Each dimension corresponds to a feature or attribute of the data, and the hypercube allows analysts to visualize and manipulate complex relationships between different variables. This is particularly useful in clustering algorithms and other forms of data mining where understanding the interactions among many variables is crucial.Understanding hypercubes requires a shift in perception. When we think of a cube, we can easily imagine its shape and structure. However, as we move to higher dimensions, visualization becomes increasingly challenging. One way to grasp the idea of a hypercube is through projection. Just as a 3-dimensional object casts a 2-dimensional shadow, a hypercube can be projected into lower dimensions, revealing its properties and characteristics. For example, a tesseract can be represented in three dimensions as a cube within a cube, connected at the vertices.The beauty of hypercubes lies in their symmetry and mathematical elegance. Each hypercube possesses a unique set of properties, such as vertices, edges, and faces, that can be calculated using specific formulas. For a 4-dimensional hypercube, there are 16 vertices, 32 edges, and 24 square faces. This intricate structure invites mathematicians and enthusiasts alike to explore its properties further.In conclusion, the hypercube is a remarkable concept that transcends our conventional understanding of geometry. It serves as a bridge between abstract mathematical theories and tangible applications in technology and science. By studying hypercubes, we not only expand our knowledge of dimensionality but also enhance our ability to solve complex problems in various domains. As we continue to delve into the mysteries of higher dimensions, the hypercube will undoubtedly remain a key player in our quest for understanding the universe around us.

在数学和几何的领域中，“hypercube”这个概念既迷人又复杂。hypercube，也被称为n维立方体，是将三维立方体推广到更高维度的概念。虽然我们熟悉传统的立方体，它有六个正方形的面，但hypercube将这一概念扩展到四维或更多维度。例如，四维的hypercube称为超正方体（tesseract），由于我们的大脑只能感知三维空间，因此很难想象。对hypercubes的研究不仅仅是学术上的练习；它在计算机科学、物理学和数据分析等多个领域都有实际应用。在计算机科学中，hypercubes用于并行计算架构中，为多个处理器提供高效的连接方式。这一结构允许处理器之间快速通信，这对于高性能计算任务至关重要。在物理学领域，hypercubes有助于理解与高维空间相关的概念。例如，弦理论假设宇宙可能具有超过我们所感知的三个维度，而hypercubes则作为探索这些额外维度的数学框架。这种探索可以带来关于现实基本性质的新见解。此外，在数据分析和机器学习中，hypercubes可以表示多维数据集。每个维度对应数据的一个特征或属性，而hypercube允许分析人员可视化和操作不同变量之间的复杂关系。这在聚类算法和其他形式的数据挖掘中尤为重要，因为理解多个变量之间的相互作用至关重要。理解hypercubes需要改变我们的感知。当我们想到立方体时，我们可以轻松想象它的形状和结构。然而，随着我们向更高维度移动，视觉化变得越来越具有挑战性。理解hypercube的一种方法是通过投影。就像一个三维物体投射出二维阴影一样，hypercube可以被投影到较低维度，从而揭示其属性和特征。例如，超正方体可以在三维中表示为一个立方体内嵌套另一个立方体，顶点相连。hypercubes的美在于它们的对称性和数学优雅。每个hypercube都具有独特的属性集，例如顶点、边和面，可以使用特定的公式进行计算。对于四维的hypercube，它有16个顶点、32条边和24个正方形面。这一复杂结构邀请数学家和爱好者进一步探索其属性。总之，hypercube是一个非凡的概念，超越了我们对几何的传统理解。它作为抽象数学理论与技术和科学中具体应用之间的桥梁。通过研究hypercubes，我们不仅扩展了对维度的知识，还增强了解决各个领域复杂问题的能力。随着我们继续深入探索高维的奥秘，hypercube无疑将在我们理解周围宇宙的追求中占据重要地位。