Recent content by datahead8888

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    Need to find the source for a 3D Hooke's law equation to cite

    > The honest thing to do is to cite the Wiki page because that's where you honestly got the information. When I went to the orientation for grad school, a professor told everyone not to cite wikipedia when writing academic papers in conferences. He said this is "laughed at". He said that if...
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    Need to find the source for a 3D Hooke's law equation to cite

    Homework Statement I am using the 3D implementation of Hooke's law as found in wikipedia at: https://en.wikipedia.org/wiki/Hooke%27s_law I need to find the actual source to cite it in a master's project software write up. Many professors do not consider wikipedia to be an acceptable source...
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    MHB Partial Derivatives of Matrix/Vector Function: An Easier Way?

    I was working on a pde, and I needed to compute a Jacobian for it. Suppose we have a function consisting of a series of matrices multiplied by a vector: f(X) = A * B * b --where X is a vector containing elements that are contained within A, b, and/or b, --A is a matrix, B is a matrix, and b is...
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    MHB Where can I find info on the partial derivative of elastic energy wrt position?

    I've been studying a version of the finite element method. The author of a paper I was reading refers to the partial derivative of total elastic energy wrt position, partial derivative of surfacic energy wrt position, and partial derivative of strain wrt position. Does anyone know of a good...
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    MHB Question on solving system of equations with constants....

    That looks extremely helpful. It probably still requires mangling, but it least it gives a lot of order to the mangling. I especially like how wikipedia already has standard forms posted. I'll post back if I have issues - thanks a lot!
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    MHB Question on solving system of equations with constants....

    It's fairly straight forward to find information on how to solve a system of equations like this: 2x + 3y + 4z = 1 3x + 4y + 3z = 2 4x + 5y + 3z = 3 It has numerical constants in front of each term. You could use Gaussian elimination and solve for one, infinite, or no solutions. (The above...
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    Question on how to efficiently compute a jacobian

    I'm trying to calculate a Jacobian for the vector equation I posted. I looked again at it, and I don't see any other way to do it other than to compute all 9 row / column entries individually. Although each column in the Jacobian corresponds to force-x, force-y, and force-z all-together, you...
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    Question on how to efficiently compute a jacobian

    Hello, I was starting with an equation using hooke's law and with a damping factor appended to it. The equation is to calculate the x,y, and z components of the resulting force, as a vector. The hooke's law portion uses the current position in calculating the force (x, y, and z position...
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