This book presents the details that illustrate the mathematical style of thinking, which involves sustained, step-by-step analysis, experiments, and insights.

本书详细介绍了数学的思维方式，包括持续的、按部就班的分析、实验和真知灼见。

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While QED rests on a weak mathematical foundation, it has been extremely successful in predicting the outcome of experiments.

量子电动力学(QED)已经在一个脆弱的数学基础上待了太久，它已经在预测实验结果上取得了巨大的成功。

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The researchers conducted a series of laboratory experiments with groups of various sizes and developed a mathematical model of the intuitive learning process.

该研究选取不同大小的样本进行了一系列实验室实验，形成了直觉学习过程的计算模型。

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As a professor in the department of brain and cognitive sciences at the Massachusetts Institute of Technology, he's using a combination of mathematical modeling, computer simulation and behavioral experiments to explain how people learn new things.

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