modulus

简明释义

英[ˈmɒdjʊləs]美[ˈmɒdʒələs]

n. 系数；模数

复 数 m o d u l i

英英释义

单词用法

同义词

反义词

例句

1.Shear modulus and damping ratio change very little.

动剪切模量与阻尼比的变化比较小。

2.The tensile modulus approximately equal to the compressive modulus of elasticity within the proportional limit.

拉伸载荷模量约等于比例极限内的弹性模量。

3.The speed of sound also depends on Young's modulus.

声速也同样，取决于杨氏模量。

4.Both the tangential modulus and secant modulus are exponential with axial strain.

松散岩块的切线模量和割线模量均与轴向应变呈指数相关性。

5.For identical shapes, the stiffness is proportional to the modulus of elasticity.

对于同样外形的材料，刚度与弹性模量是成比例的。

6.Oedometric modulus is generally used in settlement calculation.

对沉降计算常用侧限压缩模量。

7.Liquid crystalline polymer has the highest strength and modulus. Nowadays it is well known as super engineering plastics.

液晶高分子材料具有相当高的强度和模量，被誉为当代超级工程塑料。

8.The modulus of a system can affect its stability and performance in various applications.

一个系统的模数可以影响其在各种应用中的稳定性和性能。

9.In engineering, the modulus of elasticity measures a material's ability to deform under stress.

在工程学中，弹性模量衡量材料在应力下变形的能力。

10.In mathematics, the absolute value of a number can be described using its modulus, which is the distance from zero on the number line.

在数学中，一个数字的绝对值可以用它的模数来描述，即它在数轴上距离零的距离。

11.In number theory, the concept of modulus is crucial for understanding congruences.

在数论中，模数的概念对于理解同余关系至关重要。

12.When dealing with complex numbers, the modulus represents the magnitude of the number in the complex plane.

在处理复数时，模数表示该数字在复平面上的大小。

作文

In the realm of mathematics and engineering, the term modulus refers to a fundamental concept that plays a crucial role in various applications. The modulus is often associated with the measurement of a material's ability to deform under stress, which is vital in fields such as civil engineering and materials science. Understanding the modulus helps engineers design structures that can withstand forces without failing. For instance, when constructing a bridge, engineers must consider the modulus of elasticity of the materials used, ensuring they can support the weight and dynamic loads without excessive deformation.Moreover, the modulus also appears in the context of complex numbers and modular arithmetic. In this mathematical framework, the modulus of a complex number is defined as its distance from the origin in the complex plane. This concept is not only theoretical but also has practical implications in signal processing and electrical engineering, where understanding phase and amplitude is essential.The significance of the modulus extends beyond pure mathematics. In physics, the modulus of elasticity, for instance, is a measure of a material's stiffness and is critical in determining how materials respond to stress. A high modulus indicates that a material is stiff and does not deform easily, while a low modulus signifies that it is more flexible. This property is particularly important when selecting materials for construction projects, ensuring safety and durability.Furthermore, the concept of modulus is also integral in computer science, especially in algorithms that involve hashing and data structure organization. Hash functions often utilize the modulus to ensure that data is evenly distributed across a hash table, minimizing collisions and improving efficiency. By applying the modulus, programmers can determine the index at which a particular value should be stored, optimizing retrieval times and resource management.To illustrate the importance of modulus in real-world applications, consider a scenario where engineers are tasked with designing a new skyscraper. They must calculate the modulus of elasticity for various materials, such as steel and concrete, to determine which combination will provide the necessary strength and flexibility. If the selected materials have an inappropriate modulus, the building could suffer from structural issues, leading to costly repairs or even catastrophic failures.In summary, the term modulus encompasses a wide range of meanings and applications across different fields. Whether it is measuring the stiffness of materials, analyzing complex numbers, or optimizing data structures in computer science, the modulus serves as a critical parameter that influences design and functionality. As we delve deeper into the study of mathematics and engineering, a solid understanding of the modulus will undoubtedly enhance our ability to innovate and solve complex problems efficiently. Thus, grasping the nuances of the modulus is essential for anyone aspiring to excel in these disciplines.

在数学和工程领域，术语modulus指的是一个基本概念，在各种应用中发挥着至关重要的作用。modulus通常与材料在应力下变形的能力测量相关，这在土木工程和材料科学等领域至关重要。理解modulus有助于工程师设计能够承受力量而不发生故障的结构。例如，在建造桥梁时，工程师必须考虑所用材料的弹性modulus，确保它们能够支持重量和动态载荷，而不会出现过度变形。此外，modulus还出现在复数和模运算的上下文中。在这个数学框架中，复数的modulus被定义为其在复平面上距离原点的距离。这个概念不仅是理论上的，而且在信号处理和电气工程中具有实际意义，在这些领域中，理解相位和幅度至关重要。modulus的重要性超越了纯数学。在物理学中，弹性modulus例如，是衡量材料刚度的标准，对于确定材料在应力下的反应至关重要。高modulus表明材料刚硬，不易变形，而低modulus则意味着它更灵活。这个特性在选择建筑项目的材料时尤其重要，以确保安全和耐用性。此外，modulus的概念在计算机科学中也至关重要，特别是在涉及哈希和数据结构组织的算法中。哈希函数通常利用modulus来确保数据均匀分布在哈希表中，最小化冲突并提高效率。通过应用modulus，程序员可以确定特定值应存储的索引，从而优化检索时间和资源管理。为了说明modulus在现实世界应用中的重要性，考虑一个场景，工程师们被要求设计一座新的摩天大楼。他们必须计算各种材料的弹性modulus，例如钢和混凝土，以确定哪种组合将提供必要的强度和灵活性。如果所选材料的modulus不合适，建筑可能会遭遇结构问题，导致昂贵的维修或甚至灾难性的失败。总之，术语modulus涵盖了不同领域中广泛的含义和应用。无论是测量材料的刚度、分析复数，还是优化计算机科学中的数据结构，modulus都作为一个关键参数，影响着设计和功能。随着我们深入研究数学和工程，牢固理解modulus无疑将增强我们有效创新和解决复杂问题的能力。因此，掌握modulus的细微差别对于任何希望在这些学科中脱颖而出的人来说都是必不可少的。