Recent content by mudkip9001
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Calculating Hypergeometric Function 2F1 for |z|>1
Thank you! I think I found the solution in the pdf. If I've understood correctly it's quite simple because I'm only dealing with real numbers. All I have to do is use the transformation equation 4.16: _2F_1(a,b;c;z)=(1-z)^{-a}\frac{\Gamma(c)\Gamma(b-a)}{\Gamma(b)\Gamma(c-a)} {_2}F_1\left(...- mudkip9001
- Post #3
- Forum: Calculus and Beyond Homework Help
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Calculating Hypergeometric Function 2F1 for |z|>1
I posted this in the Advanced Physics forum as well, but it occurred to me that this might be a more appropriate place. I'd delete it in Advanced Physics, but I can't see where to do that. Homework Statement I'm need to integrate the function \frac{A}{(1+B^2x^2)^{\frac{C+1}{2}}} which...- mudkip9001
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- Function Hypergeometric Hypergeometric function
- Replies: 2
- Forum: Calculus and Beyond Homework Help
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Solving the 'modified diffusion equation' using fourier transform
I stared at this for so long, can't believe I didn't realize that...- mudkip9001
- Post #5
- Forum: Calculus and Beyond Homework Help
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Solving the 'modified diffusion equation' using fourier transform
i'm sorry, this is nought but a shameless bump, can't diguise it as anything else. Any hint would be appreciated.- mudkip9001
- Post #3
- Forum: Calculus and Beyond Homework Help
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Solving the 'modified diffusion equation' using fourier transform
I'm tempted to simply say \widetilde{\rho}(p,\omega)=1, and \frac{K}{2\pi (Dp^2-i\omega)}=1, but that wouldn't give much diffusion, so I assume that's not the answer... I have also considered taking \frac{\partial^2 }{\partial p \partial \omega} to both sides to get a partial differential...- mudkip9001
- Post #2
- Forum: Calculus and Beyond Homework Help
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Solving the 'modified diffusion equation' using fourier transform
Homework Statement A the density of a gas \rho obeys the modified diffusion equation \frac{\partial \rho(x,t)}{\partial t}-D\frac{\partial^2 \rho(x,t)}{\partial x^2}=K\delta(x)\delta(t) A) Express \rho in terms of its 2D Fourier transform \widetilde{\rho}(p,\omega) and express the right...- mudkip9001
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- Diffusion Diffusion equation Fourier Fourier transform Transform
- Replies: 4
- Forum: Calculus and Beyond Homework Help
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Gradient of a scalar field in a given direction
perfect, thank you again.- mudkip9001
- Post #5
- Forum: Calculus and Beyond Homework Help
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Gradient of a scalar field in a given direction
thank you very much! I can't believe i couldn't find that anywhere. I'm happy to tke your word for it, but any chance you have a proof or reference of that for future referance?- mudkip9001
- Post #3
- Forum: Calculus and Beyond Homework Help
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Gradient of a scalar field in a given direction
I have to find the gradient of a scalar field, h, at a certain point in a direction given by a vector. I know, \vec{\nabla}h will give me the direction of maximum slope, and its magnitude is the magnitude of the slope, but i don't know where to start in finding the slope in any other...- mudkip9001
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- Direction Field Gradient Scalar Scalar field
- Replies: 4
- Forum: Calculus and Beyond Homework Help
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High School Understanding the Joule: Defining and Applying Energy in Physics
This is really basic, but I can't seem to find that one piece of reasoning that I must be missing... I don't understand the definition of the joule; 'the energy given to a body if a force of 1N is applied for the distance of one meter' If I apply 1N to an object of mass 1000kg until it has...- mudkip9001
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- Definition Joule
- Replies: 1
- Forum: Thermodynamics
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How to Determine Uncertainty of a Probability with Experimental Data?
Thank you, I read the pdf, and I found it useful, but I did not find the answer to my question. I didn't use a formula to calculate the probability, I just observed that I got this outcome 43 out of 234 times- mudkip9001
- Post #3
- Forum: Introductory Physics Homework Help
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How to Determine Uncertainty of a Probability with Experimental Data?
If i have experimentally determined a probability of an event with two possible outcomes to be, say, 46/234, how can I attatch an uncertainty value to this?- mudkip9001
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- Probability Uncertainty
- Replies: 2
- Forum: Introductory Physics Homework Help
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Calculating A in SHM from x, v & a
I just wrote all this, and then figured it out myself just as I finished. But I guess I might as well post t anyway. Thanks for all your help, I'm very relieved now (but I also feel a bit dumb, since I was so sure there was something wrong with the question). where I went wrong was that the...- mudkip9001
- Post #12
- Forum: Introductory Physics Homework Help
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Calculating A in SHM from x, v & a
but I don't know neither k nor m- mudkip9001
- Post #9
- Forum: Introductory Physics Homework Help
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Calculating Object Movement in SHM: Period, Amplitude, and Distance
if it starts at 0, just use x=Asin(omega*time) no phase shift needed.- mudkip9001
- Post #6
- Forum: Introductory Physics Homework Help