The configuration space for all possible positions of a double pendulum can be represented by i.e. it is represented by a 2 dimensional surface. This leads me to think that (loosely) "chaotic" systems are just systems for which the configuration space is at least 2 dimensional. >But there are plenty of simple systems where the configuration space is of a higher dimension
Yes, however once we take constraints into account, we can lower the dimension of the actual configuration space to one dimension.
Am I on the right track here? Are there counterexamples, and if so, is there a way to refine this idea?
White skin is feminine so why do women like white males so much?
I can understand why people don't like black women so much. It's because black skin is masculine. But then black men should be the most attractive.
Why aren't they?
What is actually the significance of black holes? So they break the laws of physics but why should we even care? Relativity is more than enough to do all the cool shit we want to do. Even that may be overkill. Maybe we could have just stopped at Newton. I think we might be just better off if we stopped thinking about them altogether. What do you think?
First of all I want to thank you personally for your amazing work. I know this isn't the environment you'd normally expect it from with all the COVID-19 truthers and anti-vaxxers but I honestly mean it, thank you. I respect you as scientists, as professionals, and as humans, I really do.
If you want, please share your experience working on the frontlines during this pandemic. How have your interactions with the general public gone?
Your experience means a lot and I genuinely want to know.
Assume you fill a cupola to the brim with charcoal. The cupola is a just a tall vertical tube with an intake for air at the base. The charcoal at the bottom is ignited and the hot gasses flow upwards between the chunks of cold charcoal, heating them, such that the smoke that leaves the top is relatively cold after having passes through some cold charcoal.
As combustion progresses the charcoal at the base of the stack is slowly consumed and the column sinks, the smoke keeps heating the charcoal at the higher levels but it doesnt burn due to a lack of oxygen (it gets consumed at the lower levels).
As charcoal is burned, it gets replaced by fresh hot charcoal from near the bottom of the stack, because this charcoal was already hot before burning it produces hotter combustion gasses, further heating the column in a positive feedback loop.
You keep the top of the column cold by chucking in additional fresh cold charcoal. The hot gasses cool down as they pass through this charcoal, so all the heat is kept in the stack, not much energy goes out with the smoke.
What is the maximum theoretical temperature of the cupola?
