zero sequence

简明释义

零序

英英释义

例句

1.We often use the zero sequence 零序 to simplify the analysis of power systems.

我们经常使用零序 zero sequence 来简化电力系统的分析。

2.The zero sequence 零序 can help identify faults in three-phase systems.

在三相系统中，零序 zero sequence 可以帮助识别故障。

3.The presence of a zero sequence 零序 current indicates an imbalance in the system.

存在零序 zero sequence 电流表明系统存在不平衡。

4.In electrical engineering, the concept of a zero sequence 零序 is critical for analyzing unbalanced systems.

在电气工程中，零序 zero sequence 的概念对于分析不平衡系统至关重要。

5.During the simulation, the zero sequence 零序 voltage was monitored closely.

在模拟过程中，零序 zero sequence 电压被密切监测。

作文

In the realm of mathematics, particularly in linear algebra and functional analysis, the concept of a zero sequence refers to a sequence of elements that converges to zero. This idea is not only fundamental in understanding the behavior of sequences but also plays a crucial role in various applications across different fields. A zero sequence can be defined formally as a sequence {a_n} such that for every ε > 0, there exists an integer N such that for all n > N, |a_n| < ε. Essentially, this means that as we progress further along the sequence, the terms become arbitrarily close to zero, illustrating the notion of convergence. Understanding zero sequences is vital for students studying calculus and analysis, as it lays the groundwork for more advanced topics such as series and limits. For instance, when investigating the convergence of infinite series, recognizing that the terms of a series can approach zero is a key aspect of determining whether the series itself converges or diverges. Furthermore, zero sequences have practical implications in fields like engineering and physics. In signal processing, for example, the concept of a zero sequence can be applied to filter out noise from signals. By analyzing sequences of data points, engineers can identify trends and eliminate values that converge towards zero, thereby enhancing the clarity of the signal being studied. Moreover, in the context of numerical methods, the understanding of zero sequences aids in the development of algorithms that require iterative approaches to solve equations. When an algorithm generates a sequence of approximations, the ability to recognize when these approximations are becoming negligible (i.e., forming a zero sequence) is crucial for determining when to stop the iteration process. In conclusion, the concept of a zero sequence is a foundational element in both theoretical and applied mathematics. Its implications stretch far beyond the classroom, influencing various scientific and engineering disciplines. As students and professionals alike continue to explore the depths of mathematical theory, the understanding of zero sequences remains an essential tool in their intellectual toolkit. Whether through rigorous academic study or practical application, mastering the concept of a zero sequence opens up pathways to deeper insights and innovations in numerous fields. In Chinese, a zero sequence is translated as '零序列', which encapsulates the essence of a sequence that converges to zero. This term is integral in discussions about convergence and limits in mathematics, making it a crucial concept for learners and practitioners alike.

在数学领域，特别是在线性代数和泛函分析中，零序列的概念指的是一组收敛于零的元素序列。这个想法不仅在理解序列的行为方面是基础性的，而且在各个领域的各种应用中也发挥着至关重要的作用。零序列可以正式定义为一个序列{a_n}，使得对于每个ε > 0，存在一个整数N，使得对于所有n > N，有|a_n| < ε。基本上，这意味着随着我们在序列中逐步前进，项变得越来越接近零，说明了收敛的概念。理解零序列对学习微积分和分析的学生至关重要，因为它为更高级的主题如级数和极限奠定了基础。例如，在研究无穷级数的收敛性时，认识到级数的项可以趋近于零是确定该级数本身是否收敛或发散的关键方面。此外，零序列在工程和物理等领域具有实际意义。例如，在信号处理领域，零序列的概念可以用于过滤掉信号中的噪声。通过分析数据点的序列，工程师可以识别趋势并消除趋向于零的值，从而增强所研究信号的清晰度。此外，在数值方法的上下文中，对零序列的理解有助于开发需要迭代方法来解决方程的算法。当一个算法生成一系列近似值时，识别这些近似值何时变得微不足道（即形成零序列）的能力对于确定何时停止迭代过程至关重要。总之，零序列的概念是理论和应用数学中的基础元素。它的影响远远超出了课堂，影响了各种科学和工程学科。随着学生和专业人士继续探索数学理论的深度，理解零序列仍然是他们智力工具箱中的一项重要工具。无论是通过严格的学术研究还是实际应用，掌握零序列的概念都为深入洞察和创新开辟了通往众多领域的道路。在中文中，零序列翻译为'零序列'，它概括了收敛于零的序列的本质。这个术语在讨论数学中的收敛性和极限时至关重要，使其成为学习者和从业者讨论的关键概念。