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haruspex reacted to Andrew Mason's post in the thread Undergrad Textbook description of R##\ddot{\text o}##mer's light speed calculation with
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Whether Earth is moving toward or away from Jupiter is almost immaterial in itself. The orbital period of Io is about 42.5 hours. In... -
haruspex replied to the thread Undergrad Textbook description of R##\ddot{\text o}##mer's light speed calculation.Bingo. As should have been obvious, it would not have been possible to time an individual transit since that is defined as the period Io... -
haruspex replied to the thread Undergrad How can light be a wave and particle at the same time?.You're right - I was looking at the first line of the body of the post, the bit to the right of the"TL;DR". I just assumed the title... -
haruspex replied to the thread Undergrad How can light be a wave and particle at the same time?.I have a suspicion that some respondents are reading the thread title as "How can light be a wave and particle at the same time" instead... -
haruspex replied to the thread Undergrad Textbook description of R##\ddot{\text o}##mer's light speed calculation.That’s reading too much into the way the diagram is drawn. The distances 1-2 and 3-4 will be about the same, but not exactly. Suppose... -
haruspex replied to the thread Undergrad Textbook description of R##\ddot{\text o}##mer's light speed calculation.The text is clarified somewhat by the caption on the figure: "When the Earth moves away from Jupiter during a transit." I.e. it’s not... -
haruspex replied to the thread Undergrad The natural numbers and logical consequences of them.Infinity is to do with things. How you can discuss things rigorously without developing a theory of sets eludes me. -
haruspex replied to the thread Newton's laws and inclined plane with friction.We are: The normal force between two bodies is, by definition, normal to the plane of contact of the bodies (if that is well defined)... -
haruspex replied to the thread High School A question about the rotation of points on a wheel."not moving at all" may be misleading. Its instantaneous velocity is zero, but it is accelerating upwards. -
haruspex replied to the thread High School Ant on a stretchy rope puzzle.What if we define ##f(x)=1+\ln(x)##, ##g_{n+1}(x)=f(g_n(x))##, ##h_{n+1}(x)=h_n(x)g_n(x)##, with suitable settings for ##g_0, h_0##, for... -
haruspex replied to the thread What does "compute Aut(G)" mean?.I agree. -
haruspex replied to the thread What does "compute Aut(G)" mean?.What do you know about linear transformations and collapse of dimensions? -
haruspex replied to the thread What does "compute Aut(G)" mean?.I think you mean it is not surjective. Or to put it another way, that transformation collapses the plane (x, y) into the line (0, y)... -
haruspex replied to the thread What does "compute Aut(G)" mean?.Why exclude 0? Edit: And what about ##a+b\sqrt5 \to qb+ra\sqrt5##? -
haruspex replied to the thread What does "compute Aut(G)" mean?.I think it is a matter of spotting that G+ is isomorphic to a much more familiar object and applying a standard result. The word...