He quoted the mobility concept in his abstruse axiom system and improved the non-Euclidean geometries into a mature mathematical science with mathematical experiment (thought experiment)and rich imaginability.
赫氏将运动概念作为基本的概念引入了深奥的公理系统,用合理的数学实验(思想实验)以及丰富的想象能力发展了非欧几何,使之成为一门成熟的数学学科。
参考来源 - 赫尔姆霍茨的数学哲学思想研究·2,447,543篇论文数据，部分数据来源于NoteExpress
MATLAB is a powerful software system of mathematical experiment in which a large number of mathematical problems can be resolved.
MATLAB软件是功能强大的计算机数学软件系统，它可以实现大量的数学计算。
Meanwhile, it introduces MATLAB and illustrates the advantages and functions of this software using in the mathematical experiment teaching.
同时，简要地介绍了MATLAB软件，并举例说明了利用其进行数学实验教学的优点和作用。
Finally regarding the above research as guidance, I established the experiment project to educate the mathematics intuition thinking, and spent one academic year doing the mathematical experiment.
以上述研究为指导，制定了培养数学直觉思维的实验方案，进行为期一学年的数学实验。
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