realizability

简明释义

英[ˌriːəlaɪzəˈbɪləti]美[ˌriːəlaɪzəˈbɪləti]

n. [数] 可实现性；现实性

英英释义

单词用法

同义词

反义词

例句

1.The stability enhancement effect of cutting off and regulating vane at the same time is not as good as the preceding one, but with lesser thrust drop and better realizability.

而采用切油加导叶调节的手段尽管扩稳效果不如前者明显，但其推力损失较小且系统易于实现。

2.It is considered that zero soaking heating technology for traditional heating temperature is realizability and possibility.

并根据国内热处理设备现状指出传统加热温度下零保温加热工艺的现实性、可行性。

3.Therefore establishing an effective and flexible CMF has been more and more urgent to promote the model quality and ensure the realizability of the model.

因此，建立一个高效、柔性的一致性管理框架已经成为提高模型质量、确保模型可实现性的迫切要求。

4.The realizability and economy of the process is discussed.

论述了该方案的现实性和经济性。

5.In the controller the local measurable information was used to ensure the realizability.

在控制器中采用局部可测信息量，以确保其可实现性。

6.This paper presents a computer program for the realizability of a cutset matrix.

本文给出“割集矩阵可实现性算法”的计算机程序。

7.The stability enhancement effect of cutting off and regulating vane at the same time is not as good as the preceding one, but with lesser thrust drop and better realizability.

而采用切油加导叶调节的手段尽管扩稳效果不如前者明显，但其推力损失较小且系统易于实现。

8.In software development, the realizability of a feature is crucial for planning.

在软件开发中，功能的可实现性对规划至关重要。

9.The team discussed the realizability of their project goals during the meeting.

团队在会议上讨论了他们项目目标的可实现性。

10.The researchers studied the realizability of their theoretical model in practical applications.

研究人员研究了他们理论模型在实际应用中的可实现性。

11.The architect evaluated the realizability of the proposed design with the client.

建筑师与客户评估了提议设计的可实现性。

12.Before launching the campaign, we need to assess the realizability of our budget.

在启动活动之前，我们需要评估我们预算的可实现性。

作文

In the realm of theoretical computer science and mathematics, the concept of realizability plays a pivotal role in understanding the foundations of computation and logic. To put it simply, realizability refers to the ability to construct concrete examples or models that satisfy certain abstract mathematical or logical propositions. This idea is crucial when we explore how abstract theories can be applied in practical scenarios, such as programming languages, algorithms, and even artificial intelligence.One of the most fascinating aspects of realizability is its connection to intuitionistic logic. Unlike classical logic, which adheres to the principle of excluded middle, intuitionistic logic emphasizes the constructivist approach where a statement is only considered true if there is a method to demonstrate its truth. In this context, realizability becomes a bridge between logic and computation. It allows us to interpret logical formulas as computational tasks, where proving a proposition corresponds to providing an algorithm that computes a witness for that proposition.For instance, consider a simple mathematical statement: "There exists an integer x such that x is greater than 5." In classical logic, this statement could be true without necessarily providing a specific example of such an integer. However, in the framework of realizability, we must be able to exhibit an actual integer, say x = 6, to substantiate our claim. This requirement not only strengthens our understanding of the statement but also aligns with the principles of constructive mathematics, where existence is tied to explicit construction.Moreover, realizability has profound implications for programming languages and type systems. In functional programming, for example, types can be viewed as specifications of what a program can do. The realizability interpretation of types ensures that if a program has a certain type, then there exists a computation that realizes that type. This perspective leads to safer and more reliable software, as it guarantees that programs adhere to their specified behaviors.The significance of realizability extends beyond theoretical discussions; it has practical applications in areas like verification and automated theorem proving. Tools that verify the correctness of software often rely on realizability concepts to ensure that the code behaves as intended. By establishing a connection between logical assertions and executable code, realizability provides a robust framework for ensuring software reliability.In conclusion, the notion of realizability is a fundamental concept that bridges the gap between abstract mathematics and practical computation. It encourages a deeper understanding of how logical propositions can be transformed into tangible computational entities. As we continue to advance in fields like artificial intelligence and software development, the principles of realizability will undoubtedly remain central to our efforts in creating reliable, efficient, and meaningful computational systems. By embracing this concept, we can foster a more constructive approach to both mathematics and programming, ultimately leading to better solutions and innovations in technology.

在理论计算机科学和数学领域，realizability（可实现性）这一概念在理解计算和逻辑的基础方面发挥着关键作用。简单来说，realizability指的是构造满足某些抽象数学或逻辑命题的具体示例或模型的能力。当我们探索抽象理论如何应用于实际场景时，例如编程语言、算法甚至人工智能，这一思想至关重要。realizability最引人入胜的方面之一是它与直觉逻辑的联系。与遵循排中原则的经典逻辑不同，直觉逻辑强调构造主义的方法，即仅当存在证明其真实性的方法时，才认为一个陈述为真。在这种背景下，realizability成为逻辑与计算之间的桥梁。它使我们能够将逻辑公式解释为计算任务，其中证明一个命题对应于提供一个计算该命题证据的算法。例如，考虑一个简单的数学陈述：“存在一个整数x，使得x大于5。”在经典逻辑中，该陈述可以是真实的，而不一定提供这样的整数的具体示例。然而，在realizability的框架中，我们必须能够展示一个实际的整数，比如x = 6，以支持我们的主张。这一要求不仅加强了我们对该陈述的理解，还与构造数学的原则相一致，在构造性数学中，存在性与明确的构造相联系。此外，realizability对编程语言和类型系统具有深远的影响。例如，在函数式编程中，类型可以被视为程序可以执行的规范。realizability对类型的解释确保如果一个程序具有某种类型，则存在一个实现该类型的计算。这种观点导致更安全、更可靠的软件，因为它保证程序遵循其指定的行为。realizability的重要性超越了理论讨论；它在验证和自动定理证明等领域具有实际应用。验证软件正确性的工具通常依赖于可实现性概念，以确保代码按预期行为运行。通过建立逻辑断言与可执行代码之间的联系，realizability提供了一个强大的框架，以确保软件的可靠性。总之，realizability的概念是连接抽象数学与实际计算的基本概念。它鼓励我们更深入地理解逻辑命题如何转化为有形的计算实体。随着我们在人工智能和软件开发等领域的不断进步，realizability的原则无疑将继续在我们创建可靠、高效和有意义的计算系统的努力中占据中心地位。通过接受这一概念，我们可以促进对数学和编程的更具建设性的方法，最终导致技术领域更好的解决方案和创新。