additivity law

简明释义

相加定律;

英英释义

The additivity law refers to a principle in mathematics and physics that states the total effect of multiple influences can be obtained by summing the individual effects, assuming that these effects do not interfere with each other.

加法性法则是指在数学和物理学中,一个原则,表明多个影响的总效果可以通过将各个影响的效果相加来获得,前提是这些效果之间没有相互干扰。

例句

1.Understanding the additivity law 可加性法则 is essential for accurate data analysis in research.

理解可加性法则 可加性法则 对于研究中的准确数据分析至关重要。

2.In statistics, the additivity law 可加性法则 states that the total effect is the sum of individual effects.

在统计学中,可加性法则 可加性法则 表示总效应是各个单独效应的总和。

3.The additivity law 可加性法则 is crucial in determining the overall outcome in experiments involving multiple variables.

在涉及多个变量的实验中,可加性法则 可加性法则 对于确定整体结果至关重要。

4.In economics, the additivity law 可加性法则 helps in understanding how different factors contribute to total utility.

在经济学中,可加性法则 可加性法则 有助于理解不同因素如何对总效用产生贡献。

5.The additivity law 可加性法则 can be applied in physics when calculating the total energy of a system.

在物理学中,可加性法则 可加性法则 可用于计算系统的总能量。

作文

The concept of the additivity law plays a crucial role in various fields of science and mathematics. At its core, the additivity law refers to the principle that the total effect of multiple influences is equal to the sum of their individual effects. This principle can be observed in different contexts, such as physics, economics, and psychology, making it a fundamental concept that helps us understand complex systems. In physics, the additivity law is often applied when analyzing forces acting on an object. For instance, if two forces are applied to a box, one pushing it to the right and the other pulling it to the left, the overall force can be determined by simply adding the magnitudes of these two forces together, taking into account their directions. This allows physicists to predict the motion of the box with great accuracy. Without the additivity law, understanding how forces interact would be significantly more complicated.In economics, the additivity law is utilized in utility theory, which examines how individuals make choices based on their preferences. According to this theory, the total utility derived from consuming a combination of goods is equal to the sum of the utilities obtained from each good consumed individually. This principle simplifies the analysis of consumer behavior and helps economists develop models that predict market trends and consumer choices. By applying the additivity law, economists can better understand how changes in prices or income levels affect overall consumption patterns.Moreover, in psychology, the additivity law can be seen in the study of human behavior and perception. For example, when assessing the impact of multiple stimuli on an individual's response, researchers often find that the combined effect of these stimuli is equal to the sum of their individual effects. This understanding allows psychologists to design experiments that accurately measure responses to various conditions, leading to insights about cognitive processes and behavioral outcomes.However, it is important to note that the additivity law may not always hold true in every situation. In some cases, interactions between variables can lead to non-linear effects, where the combined influence of multiple factors does not equal the simple sum of their individual effects. This phenomenon is particularly evident in complex systems, such as ecosystems or social networks, where feedback loops and interdependencies can complicate the analysis. Nevertheless, the additivity law remains a valuable tool for simplifying and understanding a wide range of phenomena across different disciplines.In conclusion, the additivity law is a foundational principle that aids in the comprehension of various scientific and mathematical concepts. Its application spans multiple fields, providing a framework for analyzing interactions among different influences. While there are exceptions to this principle, the additivity law continues to be an essential aspect of our understanding of the world, enabling us to make sense of complex relationships and predict outcomes effectively. As we further explore the intricacies of nature and human behavior, the additivity law will undoubtedly remain a critical element in our quest for knowledge and understanding.

“加法律”这一概念在科学和数学的各个领域中都扮演着至关重要的角色。从根本上讲,“加法律”指的是多个影响的总效果等于它们各自效果的总和。这一原则可以在物理学、经济学和心理学等不同背景下观察到,使其成为帮助我们理解复杂系统的基础概念。在物理学中,“加法律”通常应用于分析作用于物体的力。例如,如果两个力施加在一个箱子上,一个将其推向右边,另一个将其拉向左边,那么可以通过简单地将这两个力的大小相加(考虑它们的方向)来确定总体力。这使得物理学家能够非常准确地预测箱子的运动。如果没有“加法律”,理解力如何相互作用将变得复杂得多。在经济学中,“加法律”在效用理论中得到了利用,该理论研究个人如何根据偏好做出选择。根据这一理论,从消费组合中获得的总效用等于从每种单独消费的商品获得的效用之和。这一原则简化了消费者行为的分析,并帮助经济学家开发模型,以预测市场趋势和消费者选择。通过应用“加法律”,经济学家能够更好地理解价格或收入水平的变化如何影响整体消费模式。此外,在心理学中,“加法律”可以在研究人类行为和感知时看到。例如,在评估多种刺激对个体反应的影响时,研究人员经常发现这些刺激的综合效果等于它们各自效果的总和。这一理解使心理学家能够设计实验,准确测量对各种条件的反应,从而深入了解认知过程和行为结果。然而,需要注意的是,“加法律”并不总是在每种情况下都成立。在某些情况下,变量之间的相互作用可能导致非线性效应,即多个因素的综合影响不等于它们各自效果的简单总和。这一现象在复杂系统中尤为明显,例如生态系统或社交网络,其中反馈循环和相互依赖关系可能会使分析变得复杂。尽管如此,“加法律”仍然是简化和理解不同学科广泛现象的有价值工具。总之,“加法律”是一个基础原则,有助于理解各种科学和数学概念。它的应用跨越多个领域,为分析不同影响之间的相互作用提供了框架。尽管该原则存在例外,但“加法律”仍然是我们理解世界的重要方面,使我们能够有效地理解复杂关系并预测结果。随着我们进一步探索自然和人类行为的复杂性,“加法律”无疑将继续成为我们追求知识和理解的重要元素。

相关单词

additivity

additivity详解:怎么读、什么意思、用法