Recent content by KleZMeR

  1. KleZMeR

    Linear Dependence/Independence and Wronskian

    Thank you both, perhaps my example was too trivial, but nevertheless I greatly appreciate your responses.
  2. KleZMeR

    Linear Dependence/Independence and Wronskian

    So I know there are a few threads and many websites on this, but I am not finding what I am looking for. To determine whether a set of functions are linearly dependent or independent I understand that the Wronskian can be used, but many example problems state that "clearly by inspection" some...
  3. KleZMeR

    Integral Over all Space for Charge Density - Exponential Fun

    OK, so I found an issue and corrected for it, I was using \nabla in cartesian coordinates, and it should have been in spherical. My result after using spherical component for r from \nabla , I get \rho(r)_{AllSpace} = 4\pi \int_{0}^{\infty} \frac{-bA}{\epsilon_0 } e^{-br} = A but I...
  4. KleZMeR

    Integral Over all Space for Charge Density - Exponential Fun

    Ahh yes, it is in the \hat{r} direction.
  5. KleZMeR

    Integral Over all Space for Charge Density - Exponential Fun

    Homework Statement The electric field is described by E = \frac{C e^{-br}}{r^2} , find the charge density and then integrate over all-space and show it's zero. [/B]Homework Equations E = \frac{C e^{-br}}{r^2} \\ \\ \nabla \cdot E = \frac{\rho}{\epsilon_0} \\ \\ \rho(r) = Q \delta^3...
  6. KleZMeR

    Work done moving a test charge into conducting shell

    Homework Statement Ok, so I've read many of the threads on here and they all say the same thing. I think I understand the Gauss Law and the theory behind the spherical shell. The question is this: Find the WORK done bringing a test charge q from infinity to the center of a spherical shell of...
  7. KleZMeR

    C/C++ How can I easily install a C++ plot library on a Mac?

    So I've tried to update my CMakeList.txt to fix this error but to no avail: still getting this: error: garbage collection is no longer supported. I was told to " simply remove the -fobjc-gc flag from VTK_REQUIRED_OBJCXX_FLAGS." , which I did, and it does not fix the error
  8. KleZMeR

    C/C++ How can I easily install a C++ plot library on a Mac?

    I've noticed that some of these builds have a cMakeList.txt file and if I run: cmake . command it will carry out the list. I've gotten past this just now in VTK but the error and an internet search is telling me that I must "simply remove the -fobjc-gc flag from VTK_REQUIRED_OBJCXX_FLAGS" . I'm...
  9. KleZMeR

    C/C++ How can I easily install a C++ plot library on a Mac?

    And it errors out at 45% during install... If anyone can help I'd appreciate it, this is becoming frustrating
  10. KleZMeR

    C/C++ How can I easily install a C++ plot library on a Mac?

    OK, so, VTK seems to be installing... I got through the build and configure... fingers crossed
  11. KleZMeR

    C/C++ How can I easily install a C++ plot library on a Mac?

    Hi All, Not sure if this is the right place for this thread but it seemed like it was. I have been trying for two whole days to get some plotting tools up and running that will work with my: OSX 10.8.5, Xcode 5.1. I have tried MathGL, Plplot, Gnuplot, Chplot, matplotpp, etc. I get errors...
  12. KleZMeR

    What is the vector cross product in an oblique coordinate system?

    Homework Statement Find vector product of C = A \times B of two vectors in oblique coord. system. Give explicit expressions of components of C in covariant and contravariant components (constructing reciprocal basis from direct basis will be useful). Homework Equations I am basically just...
  13. KleZMeR

    How Do You Derive a Tensor Matrix from a Potential Energy Function?

    Thank you! That did help a LOT. Somehow I keep resorting back to the Goldstein book because it is the same notation we use in lecture and tests, but it does lack some wording in my opinion. I guess the explanation you gave would be better found in a math-methods book.
  14. KleZMeR

    How Do You Derive a Tensor Matrix from a Potential Energy Function?

    Thanks Shyan, but how do I decompose the potential function to arrive at this? Or, rather, how do I represent my function in Einstein's summation notation? I believe from what you are showing that my potential function itself can be written as a matrix and be decomposed by two multiplications...
  15. KleZMeR

    How Do You Derive a Tensor Matrix from a Potential Energy Function?

    Homework Statement I am looking at Goldstein, Classical Mechanics. I am on page 254, and trying to reference page 190 for my confusion. I don't understand how they got from equation 6.49 to 6.50, potential energy function to tensor matrix. I really want to know how to calculate a tensor from a...
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