canonical system

简明释义

正则系统

英英释义

例句

1.Using a canonical system 规范系统 in software development helps maintain consistency across different modules.

在软件开发中使用 规范系统 canonical system 有助于保持不同模块之间的一致性。

2.A canonical system 规范系统 can simplify the process of integrating various software applications.

一个 规范系统 canonical system 可以简化集成各种软件应用程序的过程。

3.In computer science, a canonical system 规范系统 is often used to standardize data formats for better interoperability.

在计算机科学中，规范系统 canonical system 通常用于标准化数据格式，以提高互操作性。

4.The library adopted a canonical system 规范系统 for organizing its digital resources, making it easier for users to find information.

图书馆采用了一个 规范系统 canonical system 来组织其数字资源，使用户更容易找到信息。

5.The database was structured according to a canonical system 规范系统, allowing for efficient data retrieval.

数据库根据 规范系统 canonical system 的结构进行构建，从而实现高效的数据检索。

作文

In the realm of mathematics and computer science, the term canonical system refers to a standardized or simplified representation of a system that maintains all the essential properties while eliminating extraneous details. This concept is vital in various fields, including algebra, programming, and even in theoretical physics. Understanding a canonical system allows us to focus on the core elements of a problem without being distracted by unnecessary complexities.For instance, consider a mathematical equation that describes the motion of a pendulum. The original equation might include multiple variables and factors that complicate its analysis. However, by transforming this equation into a canonical system, we can isolate the key variables that govern the pendulum's behavior, such as its length and the gravitational force acting upon it. This simplification not only makes the equation easier to solve but also enhances our understanding of the underlying principles at play.In programming, the idea of a canonical system can be seen in the development of algorithms. Programmers often create a canonical form of data structures to ensure that they are working with a consistent and efficient representation of data. For example, when dealing with trees or graphs, a canonical system might involve defining a standard way to represent the connections between nodes. This standardization helps in optimizing algorithms for searching or sorting these data structures, leading to improved performance and reliability.Moreover, the concept of canonical system extends beyond mathematics and computer science. In linguistics, a canonical system can refer to the standard form of a language or dialect that serves as a reference point for grammatical rules and vocabulary. By establishing a canonical form, linguists can analyze variations and dialects more effectively, understanding how they deviate from the standard.In theoretical physics, the notion of a canonical system plays a crucial role in the formulation of physical laws. For example, in classical mechanics, the Hamiltonian formulation provides a canonical system that describes the evolution of a physical system in terms of its generalized coordinates and momenta. This approach simplifies the analysis of complex systems, allowing physicists to derive meaningful insights about their behavior.The importance of canonical systems cannot be overstated. They provide a framework for reducing complexity, enabling clearer communication and understanding across different disciplines. By focusing on the fundamental aspects of a system, researchers and practitioners can develop more effective solutions to problems.In conclusion, the term canonical system encapsulates the idea of a simplified yet comprehensive representation of a system across various fields. Whether in mathematics, computer science, linguistics, or physics, the ability to distill complex phenomena into their essential components is invaluable. As we continue to advance in these fields, the development and application of canonical systems will undoubtedly play a pivotal role in fostering innovation and enhancing our comprehension of the world around us.

在数学和计算机科学领域，术语规范系统指的是一种标准化或简化的系统表示，它保持所有基本属性，同时消除多余的细节。这个概念在代数、编程甚至理论物理等多个领域中至关重要。理解规范系统使我们能够专注于问题的核心元素，而不被不必要的复杂性分散注意力。例如，考虑描述摆动运动的数学方程。原始方程可能包含多个变量和因素，使其分析变得复杂。然而，通过将该方程转化为规范系统，我们可以孤立出支配摆动行为的关键变量，例如摆的长度和作用于其上的重力。这种简化不仅使方程更易于求解，还增强了我们对所涉及基本原理的理解。在编程中，规范系统的概念可以在算法开发中看到。程序员通常会创建数据结构的规范形式，以确保他们使用一致和高效的数据表示。例如，在处理树或图时，规范系统可能涉及定义一种标准方式来表示节点之间的连接。这种标准化有助于优化搜索或排序这些数据结构的算法，从而提高性能和可靠性。此外，规范系统的概念不仅限于数学和计算机科学。在语言学中，规范系统可以指作为语法规则和词汇参考点的语言或方言的标准形式。通过建立规范形式，语言学家可以更有效地分析变体和方言，理解它们如何偏离标准。在理论物理中，规范系统的概念在物理定律的制定中起着至关重要的作用。例如，在经典力学中，哈密顿形式提供了一种规范系统，用于描述物理系统的演变，涉及其广义坐标和动量。这种方法简化了复杂系统的分析，使物理学家能够推导出有关其行为的有意义的见解。规范系统的重要性不可低估。它们提供了减少复杂性的框架，使不同学科之间的沟通和理解更加清晰。通过关注系统的基本方面，研究人员和从业者可以更有效地开发解决问题的方案。总之，术语规范系统概括了在各个领域中简化但全面的系统表示的理念。无论是在数学、计算机科学、语言学还是物理学中，将复杂现象提炼为其基本组成部分的能力都是无价的。随着我们在这些领域的不断进步，规范系统的发展和应用无疑将在促进创新和增强我们对周围世界的理解方面发挥关键作用。