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第一百六十一章 拉格朗日方程(理论力学)(2 / 2)

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最重要的是,数学家以此赚钱的核心就是卖出自己的知识产权,如果是产权,那就是别人用到的时候,就需要给自己付钱。这就是引用费。

达朗贝尔对拉格朗日说了自己关于对牛顿第二定律的不同理解,朗格朗日也有了自己的新看法。

达朗贝尔说:“我的虚功虚位移都是为了解释静力学的平衡问题的。”

拉格朗日说:“我找到了一个新的方程,把虚功虚位移给结合起来了。”拉格朗日说得就是拉格朗日方程。

达朗贝尔看到拉格朗日方程写的是:L=T-V。开始问:“L是以你自己名字命名的,那T代表什么?V又代表什么?”

拉格朗日说:“说T代表的是系统的动能,V代表系统的势能。”

达朗贝尔说:“你的这个拉格朗日系统L是研究什么的?”

拉格朗日说:“我研究的就是系统的作用力。”

达朗贝尔说:“像我的风格,不过,你如何去研究系统中每个点的力呢?”

拉格朗日说:“里面各个质点的坐标也是广义坐标,里面受到的力也是广义的力。”一边说着,一边写出一个关于广义坐标的二阶微分方程组。继续说:“想知道系统运动规律,则需要对方程进行积分。”

达朗贝尔说:“坐标被动量表示,动量又被坐标表示。感觉互相循环了。”

拉格朗日说:“对于仅仅有广义坐标导数的循环坐标,积分也是循环积分。”

达朗贝尔说:“或许这就是未来的力学,三体问题都无法很好的解决,所以不要指望会有质点力学的精细分析。”

喜欢数学心请大家收藏:数学心本站更新速度全网最快。

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