characteristic value

简明释义

特性值

英英释义

例句

1.The characteristic value of a machine part is crucial for ensuring proper fit and function.

机器部件的特征值对于确保适当的配合和功能至关重要。

2.Engineers often refer to the characteristic value of a load when designing structures.

工程师在设计结构时常常提到负载的特征值。

3.The characteristic value of the material determines its suitability for construction.

材料的特征值决定了其在建筑中的适用性。

4.The characteristic value of a statistical sample helps in making predictions about the population.

统计样本的特征值有助于对总体进行预测。

5.In statistics, the characteristic value can refer to the mean or median of a dataset.

在统计学中，特征值可以指数据集的均值或中位数。

作文

In the world of science and mathematics, the term characteristic value refers to a specific numerical value that represents a distinct property or feature of a given system. This concept is fundamental in various fields, including physics, engineering, and statistics. Understanding characteristic value is essential for analyzing data and making informed decisions based on empirical evidence.For instance, in linear algebra, the characteristic value of a matrix, often referred to as an eigenvalue, is a scalar that indicates how the transformation represented by the matrix affects vectors in its space. When we multiply a vector by this matrix, the output is a scalar multiple of the original vector, thus revealing crucial information about the matrix's properties. This can be particularly useful in stability analysis and systems dynamics, where knowing the characteristic value helps predict system behavior under various conditions.Furthermore, in the realm of statistics, the characteristic value can represent measures such as the mean, median, or mode of a dataset, which summarize and characterize the data's distribution. For example, when analyzing test scores in a classroom, the average score serves as a characteristic value that provides insights into the overall performance of the students. This information can guide educators in adjusting their teaching strategies and addressing the needs of their students more effectively.The importance of characteristic value extends beyond purely academic applications. In fields like economics and finance, understanding characteristic value aids investors and analysts in assessing the risk and return associated with different assets. For instance, the characteristic value of a stock might include its price-to-earnings ratio, which helps investors gauge whether the stock is overvalued or undervalued compared to its earnings potential. By analyzing these characteristic values, investors can make more strategic decisions about their portfolios.Moreover, in engineering, the characteristic value can refer to the maximum load that a material can withstand before failure. This is crucial in designing structures, as engineers must ensure that the materials used can support the expected loads without compromising safety. Knowing the characteristic value of materials allows engineers to select appropriate materials for construction projects, thus preventing catastrophic failures and ensuring public safety.In conclusion, the concept of characteristic value plays a vital role across multiple disciplines, serving as a key indicator of various properties and behaviors. Whether it is in mathematics, statistics, economics, or engineering, characteristic value helps professionals analyze and interpret data, guiding them in making well-informed decisions. As we continue to advance in our understanding of complex systems and data-driven environments, the significance of characteristic value will undoubtedly remain a cornerstone of effective analysis and decision-making.

在科学和数学的世界中，术语特征值指的是一个特定的数值，代表给定系统的独特属性或特征。这个概念在物理、工程和统计等多个领域中是基础性的。理解特征值对于分析数据和基于实证证据做出明智决策至关重要。例如，在线性代数中，矩阵的特征值，通常称为特征值，是一个标量，表示矩阵所代表的变换如何影响其空间中的向量。当我们用这个矩阵乘以一个向量时，输出就是原始向量的标量倍数，从而揭示了关于矩阵特性的关键信息。这在稳定性分析和系统动态学中尤其有用，了解特征值有助于预测系统在各种条件下的行为。此外，在统计学领域，特征值可以代表数据集的均值、中位数或众数等度量，这些度量总结并表征了数据的分布。例如，在分析一个班级的考试成绩时，平均分数作为一个特征值提供了对学生整体表现的洞察。这些信息可以指导教育工作者调整他们的教学策略，更有效地满足学生的需求。特征值的重要性超越了纯学术应用。在经济和金融领域，理解特征值帮助投资者和分析师评估不同资产的风险和回报。例如，一只股票的特征值可能包括其市盈率，这有助于投资者判断该股票相对于其盈利潜力是高估还是低估。通过分析这些特征值，投资者可以更战略性地做出投资组合决策。此外，在工程学中，特征值可以指材料在失效前能够承受的最大负载。这对于设计结构至关重要，因为工程师必须确保所用材料能够支持预期负载而不危及安全。了解材料的特征值使工程师能够选择适合建筑项目的材料，从而防止灾难性失败，确保公众安全。总之，特征值的概念在多个学科中发挥着至关重要的作用，作为各种属性和行为的关键指标。无论是在数学、统计、经济学还是工程学中，特征值帮助专业人士分析和解释数据，引导他们做出明智的决策。随着我们继续加深对复杂系统和数据驱动环境的理解，特征值的重要性无疑将继续成为有效分析和决策的基石。