“summation”是一个名词,基本含义为“求和;总和;总结;概括”,在数学、学术写作、日常交流等不同场景中有不同用法,可通过具体例句来深入理解其用法。
含义:在数学中,“summation”主要指“求和”这一数学运算过程,即把一系列数相加得到一个总和。
用法示例:
In calculus, summation is often used to approximate the area under a curve by dividing it into small rectangles and adding up their areas.(在微积分中,求和常被用于通过将曲线下的区域分割成小矩形并求和它们的面积来近似计算该区域的面积。)
The summation of the series \(1 + 2 + 3 + \cdots + n\) can be calculated using the formula \(\frac{n(n + 1)}{2}\).(数列\(1 + 2 + 3 + \cdots + n\)的和可以用公式\(\frac{n(n + 1)}{2}\)来计算。)
含义:在学术写作、报告或演讲总结部分,“summation”表示“总结;概括”,用于对之前讨论的内容进行简明扼要的回顾和提炼,以帮助读者或听众更好地理解核心要点。
用法示例:
The summation of this research paper highlights the key findings and their implications for future studies.(这篇研究论文的总结部分强调了关键发现以及它们对未来研究的影响。)
In the summation of his presentation, the speaker reiterated the main points and urged the audience to take action.(在他的演讲总结部分,演讲者重申了主要观点,并敦促听众采取行动。)
含义:在日常交流中,“summation”也可用来表示对一系列事件、想法或情况的“综合;汇总”,强调将多个方面整合在一起形成一个整体的概念。
用法示例:
The summation of all our efforts led to the successful completion of the project.(我们所有努力的综合最终促成了项目的成功完成。)
The summation of the evidence presented in court strongly supported the defendant's innocence.(在法庭上呈现的所有证据的综合有力地支持了被告的无罪。)