Recent content by preet

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    Setting up the Lagrangian Multipliers method for spherical coords

    Thanks for the reply. I misstated my original constraint. Its an inequality constraint of the form \theta_K \leq \theta \leq \theta_L (and \phi_M \leq \phi \leq \phi_N as well). I can take the partial derivates: \frac{\partial f}{\partial \theta} and \frac{\partial f}{\partial \phi}...
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    Setting up the Lagrangian Multipliers method for spherical coords

    This isn't really a homework question, but may be similar to a typical example problem so I posted it here. Homework Statement I want to find the max and min dot product of a 3d vector and all points in a sphere constrained by angles in spherical coordinates. Homework Equations A point...
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    Estimating dehumidification rate with A/C unit

    I read up on this problem more and I think I understand it a bit better. My system needs to go from 60% relative humidity at 26 deg C to 30% relative humidity at 10 deg C. I plotted this process on a psychrometric chart... It's denoted by the '1' line...
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    Estimating dehumidification rate with A/C unit

    Hey Russ, Thanks for the reply. Why do I assume the air leaving the unit is saturated? Doesn't the A/C unit dehumidify the air? I understand that the w.vap would be saturated around the coil, but if you put your hand in front of the outlet of an A/C unit the air isn't wet (doesn't feel like...
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    Estimating dehumidification rate with A/C unit

    Hey all, I'm working on a project where I'm trying to use the inherent dehumidification ability of air conditioners to remove moisture from a closed environment. I would like to estimate the amount of condensation (and hence moisture removal) that occurs. I don't have access to the air...
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    Converting engine torque to applied linear force

    Hello, For a given vehicle, I want to use a given chart for engine torque vs. engine speed (or hp vs. engine speed) and convert it to an approximate 'applied linear force' on the car (assuming no wheel slippage). I need a very rough approximation, so I've averaged the engine torque and...
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    Robotics and motion replication

    Hey all I'm working with a simple 'robot' that consists of a sensor (rotary encoder) and a DC motor. Both are coupled through a computer. My goal is to simply replicate any rotation the sensor undergoes using the motor. For example if the sensor turns one revolution in a second, I want the...
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    Complex voltage across a capacitor

    Homework Statement I'm given the power for a capacitor. I know the voltage across the capacitor has a complex component. How do I find the value of the capacitor? Power (purely reactive) = -50000j VA Voltage = 200 + 100j V @ 60 Hz Homework Equations Power = (V*V) / Z Impedance of a...
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    Weighted Covariance: Calculating 3x3 Matrix with Point Weights

    Thank you. I had seen that link... I don't understand how the equation in the provided link was derived. I we hoping someone could help flesh it out.
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    Weighted Covariance: Calculating 3x3 Matrix with Point Weights

    Hi All, I have a data set consisting of (x,y,z) coordinates. I can calculate the covariance between them just fine. Calculating all the covariances between the three variables gives me a nice 3x3 matrix. However, the points have a weighting value as well. I don't know how to account for the...
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    What do the directions of eigenvalues represent?

    Background: I'm having trouble using principal component analysis to try and align two data sets. I have two sets of 3D point data, and I can use PCA to get principal axes of the two sets of data. I do this by finding the eigenvectors of the covariance matrix for each set of data. This gives...
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    Registering non-corresponding point clouds

    So I guess this is actually a pretty open ended question =p For those interested, One way is to use the iterative closest point algorithm, explained really well here: http://ais.informatik.uni-freiburg.de/teaching/ss07/robotics/slides/14.pdf
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    Registering non-corresponding point clouds

    I'm interested in the problem of registering non-corresponding (but similar) point clouds. I have two sets of point cloud data (points in xyz) representing the same geometric shape. However, the point cloud data does not correspond -- both clouds have a different number of points and there...
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    Solve simple logarithmic question

    Homework Statement Ae^dt + Be^ft + Ce^gt + De^ht + ... = Y Where A-Y and d,f,g,h, etc are constants. Homework Equations Logarithmic identities... ( log(AB) = log(A) + log(B), log(A^x) = x log A, etc) The Attempt at a Solution I could do this if there was only one term on...
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    Converting between coordinate systems?

    Homework Statement I have a bit of a general question, and I don't know whether or not the problem has a solution, but here's the idea behind it. I have two coordinate systems, let's call them CS A, and CS B. I have an infinite set of corresponding points for each system (both are 3D, so I...
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