Data for: Comparison of integration rules in the case of very narrow chromatographic peaks. Supplementary.xlsx

Demonstration of performance of different integration rules (Trapezoidal, Simpson's 1/3 and Simpsons's 3/8) applied to full integration of Gaussian. Graphs similar to Figure 5 for all three rules are constructed. Error of all rules drops down abnormally fast as data rate increases. Trapezoidal rule performs best and Simpson’s 3/8 worst in full accordance with paragraph 2.2.4 of Theory section.本数据集展示了梯形法则（Trapezoidal）、辛普森1/3法则（Simpson's 1/3）与辛普森3/8法则（Simpson's 3/8）这三类积分法则应用于高斯全积分的性能表现。针对上述三类积分法则，均构建了与图5结构一致的可视化图表。实验结果表明，所有法则的积分误差随数据速率提升均呈现异常快速的下降趋势。其中梯形法则表现最优，辛普森3/8法则表现最差，该结果完全符合理论章节2.2.4段的论述。

搜集汇总

背景与挑战

背景概述

该数据集用于比较不同积分规则（梯形、辛普森1/3和辛普森3/8）在非常窄的色谱峰情况下的性能，重点关注高斯函数的全积分。研究发现，随着数据速率增加，所有规则的误差均异常快速下降，其中梯形规则表现最佳，辛普森3/8规则最差，这与理论分析一致。数据集提供了相关图表以支持这些发现。