contractible

简明释义

英[kənˈtræktəbəl]美[kənˈtræktəbəl]

adj. 缩小的；[物] 可收缩的

英英释义

单词用法

同义词

反义词

例句

1.Contractible edges and removable edges in connected graphs are a powerful tool to study the structures of connected graphs and to prove some properties of connected graphs by induction.

图的可收缩边与可去边是研究连通图的构造和使用归纳法证明连通图的一些性质的有力工具。

2.Contractible edges and removable edges in connected graphs are a powerful tool to study the structures of connected graphs and to prove some properties of connected graphs by induction.

图的可收缩边与可去边是研究连通图的构造和使用归纳法证明连通图的一些性质的有力工具。

3.The paper discusses the far-field condition and analyzes the outcomes of a contractible-scaled test. The result shows that this method is simple, convenient and credible.

文章讨论了测试的远场条件，并对一个具体的缩比测试实验的结果进行分析，结果表明：该方法简便易行，数据可信。

4.In this paper a concept of contractible closed set is introduced in H-spaceand a generalized KKM theorem (Theorem 1)which is parallel with C-KKM theorem isobtained.

在H-空间中引入了可缩闭集的概念，得到了一个与C-KKM定理相平行的广义KKM定理。

5.Playfield detection algorithm is calculated from contractible image. The experimental results show that this method is of very high accuracy.

球场区域检测算法可以在缩略图上计算，实验结果证明该算法具有很高的准确性。

6.The Crisis Department only should be left with non-contractible shocks: totally unexpected events and domestic misbehavior and blunders.

危机署只应由非收缩冲击：完全突发事件和国内的违规和失误。

7.After cold war ends, as dimensions of super nucleus Arsenal contractible, the expert thinks "doomsday clock" lost revelatory sense.

冷战结束后，随着超级核武库规模的缩小，有专家认为“末日钟”失去了启示意义。

8.This paper presents a survey on the properties and distributions of contractible edges and removable edges in 3 connected graphs.

综述了3连通图中可缩边和可去边的性质以及它们在图中的分布情形。

9.An edge of a 6 connected graph is said to be 6-contractible if its contraction results still in a 6 connected graph.

如果6连通图的一条边收缩后使得所得到的图仍是6连通，则这条边称为6可收缩边。

10.Chronic pyelonephritis sees a side kidney increase, another side kidney is contractible.

慢性肾盂肾炎可见一侧肾脏增大，另一侧肾脏缩小。

11.The balloon is contractible when you release the air inside, making it easier to store.

当你放出里面的空气时，气球是可收缩的，这使得存放更容易。

12.In mathematics, a space is contractible if it can be continuously shrunk to a point.

在数学中，如果一个空间可以连续缩小到一个点，则该空间是可收缩的。

13.The contractible nature of certain muscles allows for greater flexibility in movement.

某些肌肉的可收缩性使运动更加灵活。

14.The design of the tent includes contractible poles for easy setup and takedown.

帐篷的设计包括可收缩的杆，以便于搭建和拆卸。

15.The contractible feature of the fabric allows it to fit various sizes.

这种面料的可收缩特性使其适合多种尺寸。

作文

In the field of mathematics, particularly in topology, the concept of a space being contractible is quite significant. A topological space is said to be contractible if it can be continuously shrunk to a point without tearing or gluing. This idea is fundamental for understanding various properties of spaces and their dimensions. For instance, if a space is contractible, it implies that it has the same homotopy type as a single point. This means that any loop within the space can be continuously transformed into a point, indicating that the space is 'simple' in a topological sense. To illustrate this concept, consider a rubber band. If you have a rubber band shaped like a circle, you can gradually squeeze it until it becomes a single point. During this process, the shape does not tear or break; it merely changes size. In this analogy, the rubber band represents a contractible space. The ability to shrink it down to a point without losing its essential characteristics is what defines it as contractible. The implications of a space being contractible extend beyond mere definitions. For example, in algebraic topology, the study of contractible spaces allows mathematicians to simplify complex problems. If one can show that a complicated space is contractible, they can apply results from simpler spaces, thereby making calculations more manageable. This is particularly useful in the realm of homology and cohomology theories, where the properties of contractible spaces lead to powerful conclusions about the nature of more complex structures. Moreover, the concept of contractible spaces also finds applications in other fields such as physics and computer science. In physics, certain models rely on the notion of contractibility to describe how particles interact in a confined space. Similarly, in computer science, algorithms that operate on data structures often utilize the principles of contractible spaces to optimize performance and reduce complexity. In conclusion, the term contractible refers to a fundamental property of spaces in topology that signifies the ability to shrink them down to a point without alteration. Understanding this concept not only enriches our knowledge of mathematical theory but also opens doors to practical applications across various disciplines. The simplicity and elegance of contractible spaces serve as a reminder of the beauty inherent in mathematics and its interconnectedness with the world around us. As we continue to explore and discover, the significance of contractibility will undoubtedly remain a cornerstone in our pursuit of knowledge.

在数学领域，尤其是拓扑学中，空间是可收缩的概念非常重要。一个拓扑空间被称为可收缩的，如果它可以连续地缩小到一个点而不撕裂或粘合。这个想法对于理解空间及其维度的各种属性至关重要。例如，如果一个空间是可收缩的，这意味着它具有与单个点相同的同伦类型。这意味着空间内的任何环都可以连续变换为一个点，表明该空间在拓扑意义上是“简单的”。 为了说明这个概念，可以考虑一个橡皮筋。如果你有一个形状像圆的橡皮筋，你可以逐渐挤压它，直到它变成一个单点。在这个过程中，形状不会撕裂或破裂；它只是改变了大小。在这个类比中，橡皮筋代表一个可收缩的空间。将其缩小到一个点而不失去其本质特征就是定义其为可收缩的原因。 空间是可收缩的的含义远不止于定义。例如，在代数拓扑中，研究可收缩的空间使数学家能够简化复杂问题。如果能证明一个复杂的空间是可收缩的，就可以应用来自简单空间的结果，从而使计算更易管理。这在同调和上同调理论领域特别有用，因为可收缩的空间的性质导致对更复杂结构的强大结论。 此外，可收缩性的概念也在物理学和计算机科学等其他领域中找到了应用。在物理学中，某些模型依赖于可收缩性的概念来描述粒子在有限空间中的相互作用。同样，在计算机科学中，操作数据结构的算法通常利用可收缩的空间的原理来优化性能并减少复杂性。 总之，术语可收缩的指的是拓扑学中空间的基本属性，表示其能够在不改变的情况下缩小到一个点。理解这一概念不仅丰富了我们对数学理论的知识，而且为各个学科的实际应用打开了大门。可收缩性的简单性和优雅性提醒我们数学固有之美及其与周围世界的相互联系。随着我们不断探索和发现，可收缩性的重要性无疑将继续成为我们追求知识的基石。