Recent content by WraithM
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Graduate Chain rule for commutator (Lie derivative)?
Of course! I have to add the condition that the operators are linear! Silly me :) Thanks!- WraithM
- Post #3
- Forum: Quantum Physics
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Graduate Chain rule for commutator (Lie derivative)?
I'm curious if there's a chain rule for the commutator (I'll explain what I mean) just like there's a product rule ([AB,C]). So, say you have an operator, which can be expressed in terms of another operator, and we know the commutation relationship between x and another operator, y. I'll call...- WraithM
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- Chain Chain rule Commutator Derivative Lie derivative
- Replies: 4
- Forum: Quantum Physics
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Graduate Numerical multidimensional integration over function of six variables
Thank you for the replies! I have it stored in a 6D array. I've considered the way that phyzguy suggested. It seems that method would take a very long time. I've got a grid of a 10^6 points on it, but this method would be extremely easy to implement. It'd be like 5 - 6 lines of code in Matlab... -
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Graduate Numerical multidimensional integration over function of six variables
So, I'm writing a program in matlab. I have a function of six variables, say f(x1,x2,x3,x4,x5,x6). I want to integrate over x4, x5, and x6 numerically. f is defined over a 10 sided 6-cube of points. I also want to integrate over the whole cube. So I want, F(x_1, x_2, x_3) = \int\int\int... -
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Graduate Open and closed in the geometrical sense vs the thermodynamic sense
Thanks, that actually completely answers my question. Forums turn people into internet tough guys. It's all good :)- WraithM
- Post #7
- Forum: Special and General Relativity
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Graduate Open and closed in the geometrical sense vs the thermodynamic sense
I know the definitions of both. I was looking for the connection between the two. I fully understand that they're different ideas. Perhaps I didn't make myself clear in the question, but I meant how is the geometry related to thermodynamics? As I said, is it possible for a closed geometry to be...- WraithM
- Post #3
- Forum: Special and General Relativity
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Graduate Open and closed in the geometrical sense vs the thermodynamic sense
"Open" and "closed" in the geometrical sense vs the thermodynamic sense Perhaps this is a silly question, but what is the relationship between the words "open" and "closed" in the geometrical sense (open, flat, closed universes) and in the thermodynamic sense (open and closed systems) in the...- WraithM
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- Closed Geometrical Thermodynamic
- Replies: 6
- Forum: Special and General Relativity
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Graduate Doing 3 second order differential equations numerically
Thank you elibj123! Your method worked perfectly. I replicated my results in Mathematica, and my results in C almost perfectly fit the Mathematica curve.- WraithM
- Post #5
- Forum: Differential Equations
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Graduate Doing 3 second order differential equations numerically
Actually, this could be in C++ too. C or C++ works.- WraithM
- Post #2
- Forum: Differential Equations
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Graduate Doing 3 second order differential equations numerically
I want to write a program in C that's going to solve 3 second order differential equations, and I have little to no experience in solving differential equations in C (however, I know C well enough). I'm having a bit of trouble. First of all, I don't really know what method I'm going to use to...- WraithM
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- Differential Differential equations Second order
- Replies: 4
- Forum: Differential Equations
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Undergrad Using Gauss' Law (differential form) to get Coulomb's law.
Lol, I was doing the divergence wrong, as I thought. I was being stupid. \nabla \cdot E = \frac{1}{r^2} \frac{d(r^2 E)}{dr} :/ integrate and you get: E = \frac{\rho r}{3 \epsilon_0} replace rho E = \frac{Q}{4 \pi \epsilon_0 r^2} k, good. I'm not crazy, just doing it wrong.- WraithM
- Post #2
- Forum: Electromagnetism
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Undergrad Using Gauss' Law (differential form) to get Coulomb's law.
I don't really know much about serious business electrostatics. I've only taken the AP Physics C E&M exam (using the integral form), but I was looking at wikipedia and I was curious about the differential form of Gauss' Law. I don't understand what I'm doing wrong with this. I'm trying to...- WraithM
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- Coulomb's law Differential form Form Gauss Gauss' law Law
- Replies: 1
- Forum: Electromagnetism
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High School Object on a string with a string wrapping around
Could you show me what you mean? (with math. I know calc and a good deal of classical mechanics, so I'll understand.) -
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High School Object on a string with a string wrapping around
I saw a teacher today with a piece of chalk tied to the end of a string (for drawing circles and such on a chalk board) swing the string around, and the string wrapped around his finger and the string became shorter until there was no more string left. His finger was pointed parallel to the...