region of limited proportionality

简明释义

有限正比区

英英释义

例句

1.During the economic analysis, the researchers identified a region of limited proportionality affecting small businesses in the area.

在经济分析过程中，研究人员识别出一个有限比例区域，影响了该地区的小型企业。

2.The environmental impact assessment revealed a region of limited proportionality in terms of biodiversity and habitat preservation.

环境影响评估揭示了在生物多样性和栖息地保护方面存在一个有限比例区域。

3.In statistical modeling, a region of limited proportionality can complicate the interpretation of results.

在统计建模中，有限比例区域可能会使结果的解释变得复杂。

4.In the study of urban planning, we often encounter a region of limited proportionality, where population density does not correlate with available resources.

在城市规划研究中，我们经常遇到一个有限比例区域，在这里人口密度与可用资源之间没有相关性。

5.The healthcare study found a region of limited proportionality between healthcare access and patient outcomes.

这项医疗研究发现了医疗服务获取与患者结果之间的有限比例区域。

作文

In the realm of mathematics and economics, the concept of a region of limited proportionality plays a significant role in understanding relationships between different variables. This term refers to a specific area within a graph or a model where the ratios or proportions of certain elements remain constant or exhibit limited variation. For instance, when analyzing supply and demand curves in economics, we often encounter scenarios where price changes affect quantity supplied and demanded in predictable ways. However, there are situations where these relationships do not hold true across all ranges, leading us to define a region of limited proportionality.To illustrate this further, consider a simple example from everyday life: the relationship between the amount of ingredients used in a recipe and the number of servings produced. When cooking, doubling the amount of each ingredient typically results in double the servings. This linear relationship exemplifies a region of limited proportionality because it holds true only within certain boundaries. If one were to continue increasing the ingredient quantities beyond a certain point, factors such as cooking time, temperature, and even the size of the cooking vessel could disrupt this proportionality. Thus, while the initial relationship is straightforward, it becomes complex outside the defined limits.In the field of statistics, understanding region of limited proportionality also helps in data analysis. When creating regression models, analysts often assume that the relationship between independent and dependent variables is linear. However, this assumption can fail when the data exhibits non-linear patterns. By identifying the region of limited proportionality, analysts can better understand where their model is valid and where adjustments are necessary to account for deviations.Moreover, in social sciences, the concept can be applied to study human behavior and decision-making processes. For example, when measuring the impact of incentives on productivity, researchers may find that small increases in rewards lead to proportional increases in output. However, once the incentives reach a certain threshold, the relationship may become less predictable, illustrating a region of limited proportionality. Understanding this boundary is crucial for policymakers aiming to design effective incentive structures.In conclusion, the region of limited proportionality is a vital concept that transcends various fields, including mathematics, economics, and social sciences. It serves as a reminder that while many relationships appear straightforward at first glance, they often have underlying complexities that must be acknowledged. By recognizing these regions, we can make more informed decisions, create better models, and ultimately achieve more accurate predictions in both theoretical and practical applications.

在数学和经济学领域，有限比例区域的概念在理解不同变量之间的关系中起着重要作用。这个术语指的是图表或模型中的特定区域，在该区域内，某些元素的比率或比例保持不变或表现出有限的变化。例如，在分析经济学中的供需曲线时，我们经常会遇到价格变化以可预测的方式影响供给和需求量的情况。然而，在某些情况下，这些关系并不适用于所有范围，从而引导我们定义一个有限比例区域。为了进一步说明这一点，考虑一个来自日常生活的简单例子：食谱中使用的成分数量与所生产的份数之间的关系。当烹饪时，双倍增加每种成分的数量通常会导致双倍的份数。这种线性关系体现了有限比例区域，因为它仅在某些边界内成立。如果继续在某个点之外增加成分数量，烹饪时间、温度甚至烹饪容器的大小等因素可能会破坏这种比例。因此，虽然最初的关系是直接的，但在定义的限制之外会变得复杂。在统计学领域，理解有限比例区域也有助于数据分析。在创建回归模型时，分析师通常假设自变量和因变量之间的关系是线性的。然而，当数据呈现非线性模式时，这一假设可能会失败。通过识别有限比例区域，分析师可以更好地理解他们的模型在哪些地方有效，以及在何处需要调整以考虑偏差。此外，在社会科学中，该概念可以应用于研究人类行为和决策过程。例如，在衡量激励对生产力影响时，研究人员可能发现小幅度的奖励增加会导致产出按比例增加。然而，一旦激励达到某个阈值，关系可能变得不那么可预测，体现出有限比例区域。理解这个边界对于旨在设计有效激励结构的政策制定者至关重要。总之，有限比例区域是一个跨越多个领域的重要概念，包括数学、经济学和社会科学。它提醒我们，尽管许多关系乍看之下似乎简单，但它们往往有潜在的复杂性需要被承认。通过识别这些区域，我们可以做出更明智的决策，创建更好的模型，并最终在理论和实践应用中实现更准确的预测。