indicial

简明释义

英[ɪnˈdɪʃəl]美[ɪnˈdɪʃl]

adj. 指标的；单位阶跃的

英英释义

单词用法

同义词

反义词

例句

1.Introduce the characteristic of artificial joint, knowledge' s source and indicial content;

该文介绍了人工髋关节特点、知识来源和知识表示内容；

2.Introduce the characteristic of artificial joint, knowledge' s source and indicial content;

该文介绍了人工髋关节特点、知识来源和知识表示内容；

3.The indicial 指示的 response of the system was analyzed to determine stability.

该系统的indicial 指示的 响应被分析以确定稳定性。

4.Engineers often rely on indicial 指示的 analysis to optimize performance metrics.

工程师通常依靠indicial 指示的 分析来优化性能指标。

5.In control theory, the indicial 指示的 function helps predict system behavior over time.

在控制理论中，indicial 指示的 函数有助于预测系统随时间的行为。

6.The indicial 指示的 response can be crucial for understanding transient phenomena.

对于理解瞬态现象，indicial 指示的 响应可能至关重要。

7.The researcher used an indicial 指示的 model to represent the dynamic changes in the environment.

研究人员使用了一个indicial 指示的 模型来表示环境中的动态变化。

作文

In the realm of mathematics and physics, the term indicial is often used to describe a specific type of notation or representation that involves indices. This concept is particularly significant in the study of equations and functions where variables are raised to powers. Understanding indicial notation is crucial for students and professionals alike, as it provides a clear and concise way to express complex relationships between quantities. For instance, in algebra, we often encounter expressions like x^n, where 'x' is a variable and 'n' is an index indicating the power to which 'x' is raised. This use of indices allows for easier manipulation of equations, especially when it comes to solving polynomial equations. The indicial approach simplifies calculations by providing a standardized way to represent repeated multiplication of a variable.Moreover, in calculus, indicial notation plays a vital role in differentiation and integration processes. When dealing with functions that involve powers of variables, the rules of differentiation utilize indicial forms to derive new functions efficiently. For example, the power rule states that when differentiating a function of the form f(x) = x^n, the derivative f'(x) = n*x^(n-1) can be easily derived using indicial notation. This not only streamlines the process but also enhances our understanding of how functions behave under various transformations.The application of indicial notation extends beyond pure mathematics into fields such as physics and engineering. In these disciplines, many physical laws and formulas are expressed using indicial forms. For example, Newton's laws of motion can be represented using indicial notation, making it easier to analyze and solve problems involving forces and motion. This is particularly relevant in mechanics, where the relationship between force, mass, and acceleration can be succinctly expressed using indicial terms.Furthermore, the concept of indicial can also be found in statistics, particularly in the representation of data sets and statistical models. In regression analysis, for instance, coefficients can be assigned to variables using indicial notation, allowing researchers to quantify relationships between different factors. This facilitates a clearer interpretation of data and aids in making informed decisions based on statistical findings.In conclusion, the term indicial encompasses a fundamental aspect of mathematical representation that is essential across various scientific disciplines. Its significance lies in its ability to simplify complex expressions and enhance our understanding of relationships between variables. As we continue to explore the realms of mathematics, physics, and engineering, the mastery of indicial notation will undoubtedly remain a valuable skill for students and professionals alike. It bridges the gap between abstract concepts and practical applications, making it an indispensable tool in the world of science and mathematics.

在数学和物理的领域中，术语indicial通常用于描述一种特定类型的符号或表示法，涉及指数。这一概念在研究方程和函数时尤为重要，因为变量被提升到幂次。理解indicial符号对于学生和专业人士来说至关重要，因为它提供了一种清晰简洁的方式来表达数量之间的复杂关系。例如，在代数中，我们经常遇到像x^n这样的表达式，其中'x'是一个变量，'n'是一个指数，表示'x'被提升到的幂次。这种对指数的使用使得方程的操作变得更加容易，尤其是在求解多项式方程时。indicial方法通过提供一种标准化的方式来表示变量的重复乘法，从而简化了计算。此外，在微积分中，indicial符号在微分和积分过程中发挥着至关重要的作用。当处理涉及变量幂的函数时，微分规则利用indicial形式有效地导出新函数。例如，幂规则指出，当对形式为f(x) = x^n的函数进行微分时，导数f'(x) = n*x^(n-1)可以通过使用indicial符号轻松推导出来。这不仅简化了过程，还增强了我们对函数在各种变换下的行为的理解。indicial符号的应用超越了纯数学，延伸到物理和工程等领域。在这些学科中，许多物理定律和公式都用indicial形式表示。例如，牛顿的运动定律可以使用indicial符号表示，使分析和解决涉及力和运动的问题变得更加容易。这在力学中尤其相关，因为力、质量和加速度之间的关系可以用indicial术语简洁地表达。此外，indicial的概念也可以在统计学中找到，特别是在数据集和统计模型的表示中。例如，在回归分析中，系数可以使用indicial符号分配给变量，使研究人员能够量化不同因素之间的关系。这有助于更清晰地解释数据，并在基于统计发现做出明智决策时提供帮助。总之，术语indicial包含了数学表示的一个基本方面，这在各个科学学科中都是必不可少的。它的重要性在于它能够简化复杂的表达，并增强我们对变量之间关系的理解。随着我们继续探索数学、物理和工程的领域，掌握indicial符号无疑将继续成为学生和专业人士的一项宝贵技能。它架起了抽象概念与实际应用之间的桥梁，使其成为科学和数学世界中不可或缺的工具。