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家园 力: 亚里士多德潜能向现实 to 分析力学势函数的负梯度

thanks for posts like this and all the discussions, to get into the bottom of 西方 math/physics basic concepts, which are extremely important for almost any profession, in this modern society, I hope more people will join discussion, I have learned a lot from posts like this.

sorry for using Chinese/English mixed, English typing is just a lot of faster for me.

1.力= 亚里士多德潜能向现实/运动变化, as fried has written about, a good piece, "挖祖墳" (:) is a must do dirty job;

2. newton 力, changshou has written quite bit;

2. 分析力学 expanded the concept with further logic and physics/math concepts, 完備化 in terms of 数学分析

for a physical system with 约束 and therefore 势函数

1) 保守力是势函数的负梯度

2) 广义力, 广义势

similarly, for a 熱力學 system near equilibrium, you have 溫度 as 广义力, and entropy as 广义坐标, etc

of course, very often for 熱力學 system, you have issues such as "溫度 as 广义力, and entropy as 广义坐标", but the two are not really independent of each other, not 共軛, therefore non-linear, non-完備化, etc

still, with 广义力, 广义势,广义坐标 etc, we have 分析力学 pushed into 统计力学, about which written1 has wrote a few posts;

and we have not talked about 力 concepts in SR, GR yet;

3. applications in computer graphics/ AI etc

[PDF]

基于梯度向量流的人脸轮廓检测方法 - Read

read.pudn.com/.../基于梯度向量流的人脸轮廓检测方法.p...

轉為繁體網頁

缘的外部力场,它是图像函数的边缘图. 的梯度向量扩散,由二维向量场. 组成,通过最小化如 ... 多次迭代得到新的向量场分量u和v。 GVF不能写成势函数的负梯度。

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