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Post AYdKpLNJSKTXd9f57I by [email protected] |
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More posts by [email protected] |
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Post #AYQBmVfVItrS2mGV3A by [email protected] |
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Can you roll a ball with exactly enough energy to reach the top of a dome, and … |
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Post #AYQEX5xau6PDpW4HZ2 by [email protected] |
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@maxpool @SylviaFysica - I think that bit of hair on top plays a key role in ge… |
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Post #AYQHSTJMxOPEfPjxCa by [email protected] |
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@johncarlosbaez I'll bring this up next time at mini golf, when there's… |
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Post #AYQHSTNygG5mthtdNw by [email protected] |
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@ditsch42 - great! You can confuse your partners. |
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Post #AYQNdlGX8wI5GHBF3I by [email protected] |
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@johncarlosbaez @SylviaFysica Wow, the idea that you get acausal phenomena in n… |
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Post #AYQNdoyFMs2Wkieh6W by [email protected] |
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@modulux You might enjoy what John Earman called "space invaders": th… |
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Post #AYQNjYKW9PmysanzbU by [email protected] |
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@SylviaFysica @modulux - I wrote about these "space invaders" in my p… |
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Post #AYQQztnKPfr1wlldh2 by [email protected] |
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@johncarlosbaez @SylviaFysica pfft - I don't need differential equations to… |
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Post #AYQXZAA49Z9OZGbKiG by [email protected] |
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@johncarlosbaez How much of the usual classical mech trickery can be developed … |
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Post #AYQhiYmF07sP3mZopM by [email protected] |
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@johncarlosbaez @SylviaFysica Put this way is a unnerving story, a Laplacian De… |
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Post #AYQjFWlnaI4MLTebb6 by [email protected] |
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@uberwensch - Nice question! I haven't thought about, but this problem sho… |
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Post #AYVvGMwRmVZPOSbNgW by [email protected] |
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@johncarlosbaez @SylviaFysica Interesting! I initially had an intuitive guess t… |
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Post #AYVvGN1PU3XXdqvLQ8 by [email protected] |
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@dr_renormalizer @SylviaFysica - for a generic unstable equilibrium point the p… |
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Post #AYW6Pl3gaHaUIBfRGC by [email protected] |
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@dr_renormalizer The dome is constructed such that it takes *no* perturbation f… |
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Post #AYW6PlUGzQr3ce6fhY by [email protected] |
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@dr_renormalizer Of course, if you introduce a finite perturbation, the mass wi… |
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Post #AYW6PzzH4xyIaqicy0 by [email protected] |
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@SylviaFysica @dr_renormalizer @johncarlosbaez So for these domes, an infinites… |
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Post #AYW6Q04EmVwQqF2ahc by [email protected] |
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@RobJLow - math can be very wearing on the soul! Sometimes you can convince s… |
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Post #AYX0eKD8HQnCnpbnzE by [email protected] |
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@johncarlosbaez Thanks! I see: the divergence comes from the integral for the t… |
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Post #AYX0eKHk0ITl27lUAa by [email protected] |
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@dr_renormalizer - differentiability is of the potential is not really relevant… |
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Post #AYY7lqP7sTrhVsi9Me by [email protected] |
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@johncarlosbaez Thanks again! Yes, that sounds reasonable. And let's not wo… |
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Post #AYY7lqTjbLYFkArpY0 by [email protected] |
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@dr_renormalizer - let's worry about it, that's what we're paid to … |
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Post #AYYXmKelzvBO9CvIci by [email protected] |
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@johncarlosbaez Well, some of us might be getting paid to do so, while others a… |
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Post #AYYXmKjjhT9WObFGMK by [email protected] |
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@dr_renormalizer - Okay, if you're not getting paid for this it's not y… |
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Post #AYdKpLNJSKTXd9f57I by [email protected] |
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@johncarlosbaez @SylviaFysica I like this example of a non-uniquely integrable … |
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Post #AYebXqWGocuxOE3Njs by [email protected] |
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@Ianagol - nice! y=x³ obeys dy/dx = 3x² = 3y^(2/3) when y ≥ 0 so this dif… |
