- 主题:测试chatGPT帖 （有积分奖励）
让ChatGPT画一个pde的解，结果让我十分失望
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FROM 211.161.243.*
鸡兔同笼都能算错的ChatGPT，陶哲轩发现了它的价值
https://www.51cto.com/article/748330.html
陶哲轩的这个想法确实很有价值
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FROM 211.161.243.*
其实问这种需要死背的东西意思不大，平时学术吹水，或者考较研究生也一样，问点需要理解水平或者有点分析能力的问题才能看出真正水平
【 在 amony 的大作中提到: 】
: tell some advantages of magnetic bearings
: Magnetic bearings have numerous advantages, which include:
: No friction: Magnetic bearings do not have any physical contact between the rotor and the stator, which eliminates friction and wear, resulting in increased longevity and reduced maintenance costs.
: ...................
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FROM 211.161.243.*
一本正经的胡说八道啊。。。。。
What is the betti number of a hollow 2-simplex?
The Betti number of a hollow two-dimensional simplex is zero. A 2-simplex is a triangle, and if it is hollow, meaning it has no interior, then it can be thought of as the boundary of itself (since it has no interior). In algebraic topology, the Betti numbers of a topological space are a way of counting the number of holes of various dimensions, and since a hollow triangle has no holes, its Betti number is zero.
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FROM 211.161.243.*
是不是gpt显示暂时出了问题，之前公式显示还挺正常的
【 在 vieux 的大作中提到: 】
: 问了个转动坐标系基矢量对时间的导数，输出好象是 latex 格式？
: 把文本贴在下面，看看版主或哪位兄弟可以转换成比较易读的格式？
: 设转动坐标系的基矢量为 $\boldsymbol{e}_1, \boldsymbol{e}_2, \boldsymbol{e}_3$，这些基矢量会随时间而变化，因此需要考虑它们对时间的导数。假设这些基矢量的时间导数分别为 $\frac{d\boldsymbol{e}_1}{dt}, \frac{d\boldsymbol{e}_2}{dt}, \frac{d\boldsymbol{e}_3}{dt}$。
: ...................
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FROM 211.161.243.*
让GPT 3.5解了一下Arnold习题集里面的第23题，气死我了，连先乘除后加减都不会。。。
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FROM 211.161.243.*