table of limits

简明释义

限度表

英英释义

例句

1.We need to adhere to the table of limits set by the regulatory body to avoid penalties.

我们需要遵守监管机构设定的限额表以避免罚款。

2.Before starting the project, we reviewed the table of limits to ensure we stayed within budget.

在开始项目之前，我们查看了限额表以确保我们在预算范围内。

3.During the meeting, the manager presented the table of limits for the upcoming marketing campaign.

在会议上，经理展示了即将到来的市场推广活动的限额表。

4.The table of limits provides a clear guideline on the maximum allowable expenses.

该限额表提供了关于最大可允许费用的明确指南。

5.The engineer referred to the table of limits for material specifications during construction.

工程师在施工过程中参考了限额表以获取材料规格。

作文

In the realm of mathematics and science, various tools and concepts help us understand complex ideas. One such concept is the table of limits, which serves as a crucial reference for students and professionals alike. A table of limits is essentially a compilation of values that define the boundaries or limits of particular functions or sequences. Understanding this concept is vital for anyone delving into calculus or advanced algebra, as it lays the groundwork for more intricate topics like continuity, differentiation, and integration.The importance of a table of limits can be observed in its application to real-world problems. For instance, when analyzing the behavior of a function as it approaches a certain point, the table of limits provides essential information about the function's values near that point. This is particularly useful in fields such as physics, engineering, and economics, where understanding limits can lead to better predictions and solutions.Moreover, the table of limits aids in simplifying complex calculations. Instead of manually computing limits for every scenario, students can refer to the table to quickly find the limits of common functions and sequences. This not only saves time but also reduces the likelihood of errors that might occur during calculations. By utilizing a table of limits, students can focus on applying their mathematical knowledge to solve problems rather than getting bogged down by tedious computations.One of the most significant aspects of a table of limits is its role in teaching and learning. In a classroom setting, instructors often use these tables to illustrate the concept of limits visually. By showing students how different functions behave as they approach specific values, teachers can foster a deeper understanding of the underlying principles of calculus. This visual representation helps bridge the gap between abstract mathematical theories and tangible applications, making the learning process more engaging and effective.Furthermore, the table of limits is not just a static resource; it evolves with advancements in mathematics. As new functions and sequences are developed, the table of limits is updated to include these new findings. This ensures that students and professionals always have access to the most current information, allowing them to stay at the forefront of mathematical research and application.In conclusion, the table of limits is an indispensable tool in the study of mathematics and its applications. It provides a foundation for understanding limits, simplifies complex calculations, enhances teaching methods, and adapts to new developments in the field. For anyone pursuing a career in science, technology, engineering, or mathematics (STEM), mastering the concept of a table of limits is essential. By grasping this fundamental idea, individuals can unlock a world of opportunities and insights that will serve them well in their academic and professional journeys. Ultimately, the table of limits not only represents a collection of values but also symbolizes the broader quest for knowledge and understanding in the mathematical sciences.

在数学和科学领域，各种工具和概念帮助我们理解复杂的思想。其中一个概念是极限表，它作为学生和专业人士的重要参考。极限表本质上是一个值的汇编，这些值定义了特定函数或序列的边界或极限。理解这个概念对于任何深入微积分或高级代数的人来说都是至关重要的，因为它为更复杂的话题如连续性、微分和积分奠定了基础。极限表的重要性可以通过其在实际问题中的应用来观察。例如，在分析一个函数在接近某个点时的行为时，极限表提供了关于该点附近函数值的重要信息。这在物理、工程和经济学等领域尤其有用，因为理解极限可以带来更好的预测和解决方案。此外，极限表有助于简化复杂的计算。学生们可以参考这个表快速找到常见函数和序列的极限，而不是手动计算每种情况。这不仅节省了时间，还减少了在计算过程中可能出现的错误。通过利用极限表，学生可以将注意力集中在应用他们的数学知识以解决问题上，而不是被繁琐的计算所困扰。极限表最重要的方面之一是它在教学和学习中的作用。在课堂上，教师经常使用这些表格来直观地说明极限的概念。通过展示不同函数在接近特定值时的行为，教师可以促进学生对微积分基本原理的更深理解。这种视觉表现有助于弥合抽象数学理论与具体应用之间的差距，使学习过程更加生动和有效。此外，极限表不仅是一个静态资源；它随着数学的进步而发展。随着新函数和序列的发展，极限表会更新以包含这些新发现。这确保了学生和专业人士始终可以获得最新的信息，使他们能够站在数学研究和应用的前沿。总之，极限表是学习数学及其应用中不可或缺的工具。它为理解极限提供了基础，简化了复杂的计算，增强了教学方法，并适应了该领域的新发展。对于任何追求科学、技术、工程或数学（STEM）职业的人来说，掌握极限表的概念都是必不可少的。通过掌握这一基本思想，个人可以解锁一个充满机会和洞察力的世界，这将对他们的学术和职业旅程大有裨益。最终，极限表不仅代表了一系列值，也象征着在数学科学中追求知识和理解的更广泛探索。