230问答网 > 英语高手，谢谢了！！！！请把下面那段话翻译成英语，千万不要有错误。感激不尽！

英语高手，谢谢了！！！！请把下面那段话翻译成英语，千万不要有错误。感激不尽！

2025-01-08 10:06:48

推荐回答（3个）

回答1：

微积分中一些典型不等式证法讨论(Discussions on Typical Proofs of Inequalities in Calculus)

摘要：总结了利用微积分理论证明不等式的六种方法：单调性法、微分中值定理、泰勒公式法、幂级数展开式法、极值法、定积分理论法，并探讨其证明规律及把握不等式证明的思想方法。
Abstract: This paper/dissertation summarizes six general methods of proving inequalities by calculus theories: monotonicity, differential mean value theorems, Taylor's formula, power series expansion, optimal values, and definite integral theories, explores the rules and laws in proofs of inequalities, and explains the methodology and thoughts of inequality proofs.

关键词：微积分、不等式、不等式的证明。
Kewords: Calculus, inequality, proofs of inequalities

"把握" 一词可以用grasp，但是grasp methodology and thoughts，让人觉得好像没有结论，而论文一般总要有个结论一类的东西萨，所以改为explain。
还有，你总结了6种方法，可以叫xxxx法，不过，翻译时，把这个“法”字省略了，连用6个methods，很重复，无必要。内容都是calculus相关的，所以，只要列出就行了。

回答2：

去有道在线翻译

回答3：

Discussion of some classic proving Gronwall-bellman inequalities in calculus
Abstruct:It has summarised six methods of proving Gronwall-bellman inequalities by calculus theory :The monotonic property theory,mean value theorem,TAYLOR FORMULA ,power series expansion method,extremum method,Definite integral method,and talked about the proving rules as well as the thinking method of proving Gronwall-bellman inequalities .
key words: calculus,Gronwall-bellman inequalities ,proving Gronwall-bellman inequalities

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