resolvent

简明释义

英[rɪˈzɒlvənt]美[rɪˈzɑːlvənt]

adj. 分解的；有溶解力的；消散的

n. 溶剂；分解物；消肿药

英英释义

单词用法

同义词

反义词

例句

1.This paper introduces the suit of resolvent of micro payment platform.

本文介绍了一套中国移动短信小额支付平台的解决方案。

2.This paper presents the configuration defect of HITACHI 7080 biochemical analyzer and the trouble from it. The resolvent is also put forward.

报告了日立7080生化分析仪的结构缺陷及由此缺陷引发的种种故障，并提出了对此缺陷的解决办法。

3.Second, the storage method of database and the resolvent under the multi-users environment are confirmed on the bases of use circs.

第二，根据实际使用情况，确定数据库的储存方式，给出系统在多客户环境下的解决方案。

4.At the end of paper, it discusses some questions in the process of study, offers the relevant resolvent, and plans the future projects.

文章的最后对于本课题研究过程中可能存在的问题进行了论述，提出了相应的解决方法，并对今后要进行的研究工作提出了要求。

5.In this paper, the applications of the local resolvent method in the operator theory are studied.

本文研究局部预解式方法在算子理论中的应用。

6.Spray of Polyurea Elastomer (SPUA) is a newly developed and healthy technology of water proofing without resolvent and pollution.

喷涂聚脲弹性体技术是一种新型无溶剂、无污染的绿色施工技术。

7.In chemistry, a common resolvent is water, which is often used to dissolve salts.

在化学中，常见的溶剂是水，它通常用于溶解盐。

8.The resolvent for the difficult equation was found after extensive research.

经过广泛研究后，困难方程的解法被找到了。

9.In programming, a debugging tool acts as a resolvent for code errors.

在编程中，调试工具充当代码错误的解决方案。

10.Using alcohol as a resolvent can help in cleaning various types of stains.

使用酒精作为溶剂可以帮助清洁各种类型的污渍。

11.The resolvent for the conflict was a diplomatic agreement reached by both parties.

冲突的解决方案是双方达成的外交协议。

作文

In mathematics, the term resolvent refers to a function or an expression that is used to solve equations, particularly polynomial equations. The concept of a resolvent is crucial in various fields of study, including algebra and calculus, as it provides a method for finding solutions to complex problems. Understanding the role of a resolvent can significantly enhance one's ability to tackle mathematical challenges effectively. To illustrate the importance of a resolvent, consider the process of solving a cubic equation. A cubic equation can often be quite complicated, and finding its roots may not be straightforward. However, by applying the appropriate resolvent, mathematicians can simplify the problem. The resolvent acts as a bridge that connects the original equation to its solutions, allowing for a clearer path to follow. Moreover, the use of a resolvent extends beyond just solving equations. In physics and engineering, resolvents are used to analyze systems and predict behaviors under various conditions. For instance, when studying dynamic systems, engineers might employ a resolvent to determine the stability of a structure. This application demonstrates how the concept of a resolvent is not only theoretical but also practical, impacting real-world scenarios. The versatility of resolvents can also be seen in their application in differential equations. These equations, which involve derivatives, can often be solved using resolvents that transform them into a more manageable form. By doing so, researchers can derive solutions that may have otherwise been inaccessible. This transformative power of resolvents showcases their significance in both pure and applied mathematics. Furthermore, understanding resolvents can lead to deeper insights into the nature of mathematical problems. When one learns to identify and utilize a resolvent, it opens up new avenues for exploration and innovation. For students and professionals alike, mastering the concept of a resolvent can enhance critical thinking and problem-solving skills. In conclusion, the term resolvent embodies a fundamental aspect of mathematical analysis and problem-solving. Its applications range from solving polynomial equations to analyzing dynamic systems in engineering. As learners and practitioners engage with the concept of a resolvent, they develop a stronger foundation in mathematics that can be applied across various disciplines. Therefore, recognizing the importance of resolvent not only enriches one’s mathematical toolkit but also fosters a greater appreciation for the interconnectedness of mathematical concepts and their practical implications in the world around us.

在数学中，术语resolvent指的是用于解决方程，特别是多项式方程的函数或表达式。resolvent的概念在代数和微积分等多个研究领域中至关重要，因为它提供了一种找到复杂问题解决方案的方法。理解resolvent的作用可以显著增强一个人有效应对数学挑战的能力。 为了说明resolvent的重要性，考虑解决立方方程的过程。立方方程往往相当复杂，寻找其根可能并不简单。然而，通过应用适当的resolvent，数学家们可以简化问题。resolvent作为一座桥梁，将原始方程与其解连接起来，从而提供了一条更清晰的解决路径。 此外，resolvent的使用不仅限于解决方程。在物理和工程学中，resolvent被用来分析系统并预测在各种条件下的行为。例如，在研究动态系统时，工程师可能会使用resolvent来确定结构的稳定性。这一应用展示了resolvent的概念不仅是理论上的，而且具有实际意义，影响着现实世界的场景。 resolvent的多功能性也体现在其在微分方程中的应用。这些涉及导数的方程通常可以使用将其转化为更易管理形式的resolvent进行求解。通过这样做，研究人员可以推导出可能原本无法获得的解决方案。resolvent的这种变革性力量展现了它在纯数学和应用数学中的重要性。 此外，理解resolvent可以深入洞察数学问题的本质。当一个人学习识别和利用resolvent时，它为探索和创新开辟了新的途径。对于学生和专业人士来说，掌握resolvent的概念可以增强批判性思维和解决问题的能力。 总之，术语resolvent体现了数学分析和问题解决的基本方面。它的应用范围从解决多项式方程到分析工程中的动态系统。随着学习者和从业者与resolvent的概念互动，他们在数学中建立了更强的基础，这可以应用于各个学科。因此，认识到resolvent的重要性不仅丰富了一个人的数学工具箱，也促进了对数学概念之间相互联系及其在周围世界中实际意义的更大欣赏。