我知道了，我找错地方了。playground里面的chat和chatGPT不是同一个，chatGPT的回答远比playground里面的详细。但是并非没有错误，我又试了一次，这次给了4段，但是……

What is a nonholonomic system?
A nonholonomic system is a type of system in which constraints on motion cannot be expressed as integrable differentiable equations. In other words, the system cannot be described by a set of equations that can be integrated to give a unique solution for the system's motion.

The key feature of nonholonomic systems is that they have constraints on motion that are non-integrable. This means that the constraints cannot be derived from a scalar function of the system's state variables, which is a requirement for a system to be holonomic.

A common example of a nonholonomic system is a wheeled vehicle, such as a car or a robot with wheels. The motion of the vehicle is subject to constraints that depend on the orientation of the wheels, such as the fact that the wheels can only move in the direction they are facing. These constraints are non-integrable, and therefore the motion of the vehicle cannot be described using holonomic equations of motion.

Nonholonomic systems are of interest in many areas of physics and engineering, including robotics, control theory, and mathematical physics. They often require specialized techniques for analysis and control, such as the use of differential geometry and geometric control theory.

第一段和第3段是错的。。。第一段错的原因在于，把可解性的“可积”跟 frobenius意义下的可积 搞混了，严格的说这是数学界的锅，因为有一大坨不同定义的“可积”，多数数学家在默认读者已经知道了是哪个的情况下，只写“integral”，不注意很容易搞错，所以AI在这里无从分辨。
第三段的结论是对的，但是原因纯属胡扯，不懂装懂

【 在 vinbo 的大作中提到: 】
: 我问的每次都只给一段，而且是错的定义。你的为啥有三段？我把字数限制已经放开了啊？
:
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修改:vinbo FROM 211.161.244.*
FROM 211.161.244.*

嗯，后来我也发现了。这两天openai的服务器被撑爆了，昨天就问了几句就一直报错，搜了一下，结果大家都在报错。今天登陆一看，报错页面变好看了。。。。。。

【 在 danssion 的大作中提到: 】
: 你这个不是  chatGPT
: 这个是 GPT
:
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FROM 211.161.244.*

肯定有啊，你找本习题集来翻翻看

【 在 cjon 的大作中提到: 】
: 力学习题很多都要画图的吧？有能用文字表述的力学习题吗？
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FROM 211.161.243.*

你一直能正常用吗？我要么登不进去，要么登进去只能回复An error occurred. If this issue persists please contact us through our help center at help.openai.com.
搞得我都不想玩了

【 在 cjon 的大作中提到: 】
: 《美国物理试题与解答》第1卷，科大出版社，1988年
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FROM 211.161.243.*

哪里对了，错了啊。真的存在啊，你搜我之前的帖子，还有个科普网红跟UCLA的物理教授打赌打赢了，赢了好多钱
这是某年北美大学生物理竞赛的原题，我记得是个选择题

【 在 cjon 的大作中提到: 】
: 这次好象答对了
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FROM 211.161.243.*