principle of least work

简明释义

最小功原理

英英释义

The principle of least work is a concept in physics and mathematics that states that a system will naturally evolve to minimize the amount of work done, or energy expended, during its transition from one state to another.

最小功原理是物理学和数学中的一个概念,指的是一个系统在从一种状态过渡到另一种状态时,自然会演变为最小化所做的功或耗费的能量。

例句

1.In physics, the principle of least work states that a system will take the path that requires the least amount of energy.

在物理学中,最小功原理指出一个系统将采取需要最少能量的路径。

2.Engineers often apply the principle of least work when designing structures to ensure efficiency.

工程师在设计结构时常常应用最小功原理以确保效率。

3.The principle of least work can be observed in nature, where animals evolve to use the least energy for survival.

在自然界中可以观察到最小功原理,动物进化以便于使用最少的能量生存。

4.In optimization problems, applying the principle of least work helps find the most efficient solution.

在优化问题中,应用最小功原理有助于找到最有效的解决方案。

5.The principle of least work suggests that systems naturally seek the easiest way to achieve a goal.

根据最小功原理,系统自然会寻求达到目标的最简单方法。

作文

The concept of the principle of least work is a fascinating idea that has implications in various fields, including physics, biology, and even social sciences. At its core, the principle of least work suggests that systems tend to evolve towards a state that minimizes the amount of energy expended. This principle can be observed in nature, where organisms adapt to their environments in ways that optimize their survival while using the least amount of energy possible.In physics, the principle of least work is often associated with the principle of least action, which states that the path taken by a physical system between two states is the one for which the action is minimized. This principle can be seen in the way objects move; for instance, a ball thrown in the air follows a parabolic trajectory, which is the most efficient path under the influence of gravity. The ball does not take unnecessary detours; instead, it moves in a way that conserves energy, demonstrating the essence of the principle of least work.In the biological realm, the principle of least work manifests itself in the behaviors of animals. For example, many species have developed energy-efficient methods for foraging or migrating. Birds often take advantage of wind currents to minimize their energy expenditure during long flights. Similarly, fish swim in schools to reduce drag and conserve energy. These adaptations highlight how the principle of least work plays a critical role in the survival and evolution of species.Moreover, the principle of least work extends beyond the natural world into human activities. In engineering and architecture, the design of structures often reflects this principle. Architects aim to create buildings that are not only aesthetically pleasing but also energy-efficient. For instance, the placement of windows and the orientation of a building can be optimized to maximize natural light and reduce heating costs, embodying the principle of least work in sustainable design practices.In everyday life, we can observe the principle of least work in our own routines. People tend to choose the easiest and most efficient ways to accomplish tasks, whether it’s taking the shortest route to work or finding the quickest method to complete a chore. This tendency is not merely a matter of convenience; it reflects an innate understanding of the need to conserve energy and resources.However, it is important to recognize that the principle of least work does not imply laziness or lack of effort. Rather, it emphasizes the importance of efficiency and optimization. In a world where resources are finite and challenges are abundant, applying the principle of least work can lead to innovative solutions and sustainable practices.In conclusion, the principle of least work is a fundamental concept that resonates across multiple disciplines. It encourages us to think critically about how we use energy and resources, both in nature and in our daily lives. By embracing this principle, we can foster a deeper understanding of efficiency and sustainability, paving the way for a more harmonious existence with our environment. As we continue to explore the implications of the principle of least work, we must remain mindful of our actions and their impact on the world around us.

“最小工作原理”是一个迷人的概念,在物理学、生物学甚至社会科学等多个领域都有其深远的影响。其核心思想是,系统倾向于朝着最小化能量消耗的状态演变。这个原理可以在自然界中观察到,生物体以优化生存并尽可能少地消耗能量的方式适应环境。在物理学中,“最小工作原理”通常与最小作用原理相关,后者指出物理系统在两个状态之间所采取的路径是作用最小化的路径。这一原理可以在物体运动的方式中看到;例如,抛出的球在空中沿着抛物线轨迹移动,这是在重力影响下最有效的路径。球不会走不必要的弯路,而是以节省能量的方式运动,体现了“最小工作原理”的本质。在生物领域,“最小工作原理”表现为动物的行为。例如,许多物种发展出了能量高效的觅食或迁徙方法。鸟类通常利用气流来降低长途飞行时的能量消耗。类似地,鱼群通过集体游动来减少阻力和节省能量。这些适应性突显了“最小工作原理”在物种生存和进化中的关键作用。此外,“最小工作原理”不仅限于自然界,也延伸至人类活动。在工程和建筑领域,结构设计往往反映了这一原理。建筑师旨在创造既美观又节能的建筑。例如,窗户的布置和建筑的朝向可以优化,以最大化自然光并减少供暖成本,体现了可持续设计实践中的“最小工作原理”。在日常生活中,我们也可以观察到“最小工作原理”。人们倾向于选择完成任务的最简单和最高效的方法,无论是选择最短的上班路线还是寻找最快的完成家务的方法。这种倾向不仅仅是出于便利,它反映了人们内心对节约能量和资源的理解。然而,重要的是要认识到,“最小工作原理”并不意味着懒惰或缺乏努力。相反,它强调了效率和优化的重要性。在资源有限、挑战众多的世界中,应用“最小工作原理”可以带来创新的解决方案和可持续的实践。总之,“最小工作原理”是一个基本概念,在多个学科中引起共鸣。它鼓励我们批判性地思考如何使用能量和资源,无论是在自然界还是在我们的日常生活中。通过接受这一原理,我们可以促进对效率和可持续性的更深刻理解,为实现与环境的和谐共存铺平道路。当我们继续探索“最小工作原理”的影响时,必须时刻关注我们的行动及其对周围世界的影响。

相关单词

least

least详解:怎么读、什么意思、用法