reciprocal cancellation

简明释义

相互注销

英英释义

例句

1.In a contract dispute, the parties agreed to a reciprocal cancellation 互相取消 of their obligations.

在合同争议中，双方同意互相取消他们的义务。

2.The reciprocal cancellation 互相取消 of debts helped both parties to start fresh financially.

债务的互相取消帮助双方在财务上重新开始。

3.The two companies decided on a reciprocal cancellation 互相取消 of their service agreements to avoid further losses.

两家公司决定互相取消他们的服务协议，以避免进一步的损失。

4.They reached a reciprocal cancellation 互相取消 agreement after months of negotiation.

经过数月的谈判，他们达成了一个互相取消的协议。

5.The reciprocal cancellation 互相取消 of the contracts allowed them to focus on new projects.

合同的互相取消使他们能够专注于新项目。

作文

In mathematics, the concept of reciprocal cancellation plays a crucial role in simplifying expressions and solving equations. The term refers to the process where two numbers or variables cancel each other out when multiplied by their reciprocals. For instance, if we take the numbers 2 and 1/2, multiplying them together yields 1. This is because 2 is the reciprocal of 1/2, and their product is equal to one. This principle can be applied in various mathematical contexts, particularly in algebra and calculus.Understanding reciprocal cancellation is essential for students as they progress through their math education. It not only helps in simplifying complex fractions but also aids in solving equations that involve rational expressions. For example, when faced with an equation like (3x)/(6) = 1/2, one can utilize reciprocal cancellation to simplify the problem. By recognizing that 6 is the product of 3 and 2, students can easily cancel out common factors, leading to a more straightforward solution.Moreover, reciprocal cancellation is not limited to basic arithmetic; it extends to higher-level mathematics as well. In calculus, for instance, understanding how to manipulate functions and their inverses often requires a solid grasp of this concept. When dealing with limits and derivatives, students frequently encounter situations where reciprocal cancellation can help clarify complex calculations, making it an invaluable tool in their mathematical toolkit.Beyond its mathematical implications, reciprocal cancellation can also be observed in real-world scenarios. For example, in physics, when calculating forces, the idea of cancellation appears when opposing forces are at play. If two forces of equal magnitude act in opposite directions, they effectively cancel each other out, resulting in a net force of zero. This principle mirrors the mathematical concept and showcases the interconnectedness of different fields of study.Furthermore, reciprocal cancellation encourages critical thinking and problem-solving skills. Students learn to analyze problems from different angles, identifying opportunities to simplify and streamline their approach. This skill is not only applicable in mathematics but is also transferable to various aspects of life, such as decision-making and strategic planning.In conclusion, the concept of reciprocal cancellation is a fundamental mathematical principle that has far-reaching applications in both academic and real-world contexts. By mastering this concept, students can enhance their problem-solving abilities and develop a deeper understanding of mathematical relationships. As they progress in their studies, the ability to recognize and apply reciprocal cancellation will undoubtedly serve them well, paving the way for success in more advanced topics and disciplines. Ultimately, the significance of reciprocal cancellation extends beyond mathematics, illustrating the importance of foundational concepts in fostering a comprehensive understanding of the world around us.

在数学中，倒数消去的概念在简化表达式和解决方程中起着至关重要的作用。这个术语指的是当两个数字或变量与其倒数相乘时，相互抵消的过程。例如，如果我们取数字2和1/2，它们相乘得到1。这是因为2是1/2的倒数，它们的乘积等于1。这个原理可以应用于各种数学背景，特别是在代数和微积分中。理解倒数消去对于学生来说至关重要，因为他们在数学教育中不断进步。它不仅有助于简化复杂的分数，还有助于解决涉及有理表达式的方程。例如，当面临一个方程(3x)/(6) = 1/2时，可以利用倒数消去来简化问题。通过认识到6是3和2的乘积，学生可以轻松地抵消共同因子，从而得出更简单的解。此外，倒数消去并不限于基础算术；它还扩展到更高水平的数学。在微积分中，例如，理解如何操作函数及其逆函数通常需要对这一概念有扎实的掌握。在处理极限和导数时，学生经常会遇到可以帮助澄清复杂计算的倒数消去情况，这使其成为数学工具箱中不可或缺的工具。超越数学的含义，倒数消去也可以在现实场景中观察到。例如，在物理学中，计算力时，当相反的力作用时，消去的概念就会出现。如果两个大小相等的力朝相反方向作用，它们实际上会相互抵消，导致净力为零。这个原理与数学概念相似，展示了不同学科之间的相互联系。此外，倒数消去鼓励批判性思维和解决问题的能力。学生学习从不同角度分析问题，识别简化和精简方法的机会。这种技能不仅适用于数学，也可以转移到生活的各个方面，例如决策和战略规划。总之，倒数消去的概念是一个基本的数学原理，在学术和现实世界中具有广泛的应用。通过掌握这一概念，学生可以增强解决问题的能力，并深入理解数学关系。当他们在学习中不断进步时，识别和应用倒数消去的能力无疑将对他们大有裨益，为更高级的主题和学科的成功铺平道路。最终，倒数消去的重要性超越了数学，说明了基础概念在促进全面理解周围世界中的重要性。