Recent content by tommyhakinen

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    Matrix Derivation: 2x1 A and B with Dimension and dA/dB Calculation

    Hi, I need help with matrix derivation. I have 2 matrices of dimension 2x1, A and B. A = [f(x) x]^{T} B = [y x]^{T} I would like to find the dA/dB. How do I do this? and what is the dimension of the resultant matrix?
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    Expected Value and covariance of matrix

    Thanks for the reply. but if my matrix A is a 2x1 vector which only has two elements, is it possible to find the covariance or i have to have the set of data in order to get the covariance?
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    Expected Value and covariance of matrix

    I have a 2x1 matrix A. I would like to find out E[A] which is the mean of the matrix. How do I do this? what is the dimension of the resultant matrix? using this E[A], I am going to find the covariance of matrix A by this formula cov(A) = E[(A - E[A])(A - E[A])^{T}) could someone please...
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    Kalman Filter for State Estimation

    This is the MATLAB m-file of the Kalman Filter and the measurement data. I have a good smooth curve but at some point the curve swing out of quite far from the actual values. I am wondering what has cause such behavior. Anyone has experience on this, could you give me some suggestions or idea of...
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    Kalman Filter for State Estimation

    Hi, I am not sure if this is the right forum to post this. I am working on a Kalman Filter for battery state of discharge estimation during discharging process. I am using a Linearized Discrete Time Kalman Filter to estimate the State of Discharge/SOD (how much % of charge has been taken...
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    Calculating the Value of an Infinite Series

    Homework Statement What is the value of: 1 + (\frac{1}{3})^{2} + (\frac{1}{5})^{2} + (\frac{1}{7})^{2} + (\frac{1}{9})^{2} + ...
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    Calculating Wave Frequency for Boat Moving Westward

    i would add it to my speed. so if let say i am not moving, and the object is moving towards me with 1 m/s, it's speed appears to be 1 m/s to me as i am not moving. right?
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    Calculating Wave Frequency for Boat Moving Westward

    in that case, it does not seems to move for me. am i right? I see.. so, the answer is faster. am i right? thank you very much..
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    Calculating Wave Frequency for Boat Moving Westward

    Homework Statement Ocean waves traveling to the east at speed of 4 m/s. the distance between the crests is 20 m. With what frequency do the waves hit the front of a boat moving westward at a speed of 1 m/s? 2. The attempt at a solution Does the speed of the wave is added or subtracted from the...
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    Complex Exponential: What is e^jw∞?

    what is e^{jw\infty} ?
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    Homework Problem Involving Forces, Torque, and Moment of Inertia

    Homework Statement The combination of an applied force and a friction force produces a constant total torque of 36.0 N·m on a wheel rotating about a fixed axis. The applied force acts for 6.00 s. During this time the angular speed of the wheel increases from 0 to 10.0 rad/s. The applied force...
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    Solving PDE with Laplace Transform

    thanks jambaugh. I have tried it. Basically my problem is on solving non-homogenous second order ODE. I have reached the transformation stage. I just need to solve the ODE. I still do not understand how to solve this: \frac{\partial^{2}U(x,s)}{\partial x^{2}} -...
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    Solving PDE with Laplace Transform

    I know for first order ODE, we can use U' + p(x)U = q(x) by first finding the integrating factor. IF = e∫p(x)dx. then u = 1/IF ∫ q(x) IF dx. However, this problem is a second order ODE and non-homogenous. How should I get the solution for the U(x,s)?
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