constructible

简明释义

英[kənstˈrʌktəbl]美[kənstˈrʌktəbl]

adj. [数] 可构成的

英英释义

单词用法

同义词

反义词

例句

1.He conceived the first proof that the 17 - sided polygon is constructible.

他构思了17边形可以作图的第一个证明。

2.Copy constructible types must be able to be constructed from another member of the type.

可复制构造的类型必须能够从该类型的另一个对像进行构造。

3.Some new methods or approaches are provided for developing constructible, extensible open software systems.

为开发可构造、可扩充的开放式软件系统提供了一些方法和手段。

4.If neither the second nor third option above is a valid option, t must be copy constructible and assignable.

如果上面第二和第三个选项都是有效选项，T必须是可构造和可赋值的副本。

5.A constructible definition of the directed acyclic graph was described, and the reason why exists a solution that does not exceed the total execution time of all tasks was explained.

描述了有向无回路图的构造性定义，指出问题一定有不超过所有任务执行时间总和的解。

6.The algebraic system, on the other hand, makes up for the loss of elasticity and animation by being immediately "constructible."

另一方面，代数体系通过迅速能被“建造”的特性补充了已丢失的灵活与生动性。

7.A constructible definition of the directed acyclic graph was described, and the reason why exists a solution that does not exceed the total execution time of all tasks was explained.

描述了有向无回路图的构造性定义，指出问题一定有不超过所有任务执行时间总和的解。

8.He conceived the first proof that the 17-sided polygon is constructible.

他构思了17边形可以作图的第一个证明。

9.A type playing the role of copy-constructible-type in the CopyConstructible concept.

在可复制构造概念中担任可复制构造类型角色的类型。

10.The architect ensured that the design was constructible 可建造的 within the budget.

建筑师确保设计在预算范围内是可建造的。

11.It's crucial to have a constructible 可建造的 plan before starting any construction work.

在开始任何施工工作之前，拥有一个可建造的计划是至关重要的。

12.The engineer provided a report on the constructible 可建造的 methods for the new bridge.

工程师提供了关于新桥的可建造的方法的报告。

13.Before we proceed, we need to verify if the project is constructible 可建造的 under current regulations.

在我们继续之前，我们需要验证该项目在现行法规下是否可建造的。

14.The team discussed various constructible 可建造的 designs that could be implemented quickly.

团队讨论了可以快速实施的各种可建造的设计。

作文

In the field of mathematics, particularly in geometry, the term constructible refers to figures that can be created using a finite number of steps with a compass and straightedge. This concept is fundamental in understanding the limitations of geometrical constructions. For instance, a classic example of a constructible figure is the equilateral triangle. It can be drawn by simply using a compass to create circles and connecting points with a straightedge. However, not all geometric figures are constructible. The famous problem of squaring the circle, which involves creating a square with the same area as a given circle using only these tools, has been proven impossible. This impossibility arises from the fact that the value of π (pi) is not a constructible number.The implications of constructible figures extend beyond pure mathematics; they find applications in various fields such as computer graphics, engineering, and architecture. In these areas, understanding the principles of constructible shapes allows professionals to create accurate models and designs. For example, architects often rely on constructible forms when sketching blueprints for buildings, ensuring that their designs can be realized in the physical world.Moreover, the study of constructible figures leads to deeper insights into the nature of mathematical proofs and reasoning. By exploring which shapes can be constructible, mathematicians develop skills in logical thinking and problem-solving. This exploration encourages students to engage with challenging concepts and fosters a love for mathematics.As technology evolves, the relevance of constructible figures remains significant. With the advent of computer-aided design (CAD) software, the principles of constructible geometry are still applied, albeit in a more advanced manner. Designers and engineers use algorithms that incorporate constructible shapes to ensure their creations are feasible and efficient. Thus, understanding what it means for a figure to be constructible continues to be essential in modern design practices.In conclusion, the term constructible encapsulates a crucial aspect of geometry that influences both theoretical and practical applications. From ancient Greek mathematicians to contemporary designers, the quest to understand and utilize constructible figures has shaped our approach to mathematics and its applications in the real world. As we continue to innovate and explore new technologies, the principles surrounding constructible shapes will undoubtedly play a pivotal role in guiding our advancements in various fields, ensuring that our creations are not only imaginative but also realizable.

在数学领域，特别是几何学中，术语constructible指的是可以通过有限步骤使用圆规和直尺构造的图形。这个概念对于理解几何构造的局限性至关重要。例如，等边三角形就是一个经典的constructible图形。它可以通过简单地使用圆规绘制圆圈并用直尺连接点来绘制。然而，并非所有几何图形都是constructible的。著名的平方圆问题，即仅使用这些工具创建与给定圆具有相同面积的正方形，已被证明是不可能的。这种不可能性源于π（圆周率）的值不是一个constructible数字。Constructible图形的意义超越了纯数学；它们在计算机图形学、工程和建筑等多个领域都有应用。在这些领域，理解constructible形状的原理使专业人士能够创建精确的模型和设计。例如，建筑师在为建筑草图时常常依赖于constructible形式，以确保他们的设计能够在物理世界中实现。此外，对constructible图形的研究带来了对数学证明和推理本质的更深入理解。通过探索哪些形状是constructible的，数学家们培养了逻辑思维和解决问题的能力。这种探索鼓励学生参与具有挑战性的概念，并培养对数学的热爱。随着技术的发展，constructible图形的相关性仍然显著。随着计算机辅助设计（CAD）软件的出现，constructible几何的原理仍然被应用，尽管方式更加先进。设计师和工程师使用包含constructible形状的算法，以确保他们的创作是可行和高效的。因此，理解一个图形是否为constructible的意义在现代设计实践中仍然至关重要。总之，术语constructible概括了几何学中的一个关键方面，这影响着理论和实际应用。从古希腊数学家到当代设计师，理解和利用constructible图形的追求塑造了我们对数学及其在现实世界中应用的看法。随着我们继续创新和探索新技术，围绕constructible形状的原理无疑将在指导我们在各个领域的进步中发挥关键作用，确保我们的创作不仅富有想象力，而且可以实现。