Recent content by l46kok

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    Identifying type of feedback by looking at bode plot

    Homework Statement Below is the bode plot of return difference, 1+C(S)P(S) in a feedback system. Identify the frequencies where the feedback is large, negative, positive and negligible. P(S) = \frac{100}{s^2+2s+1} C(S) = \frac{220(s+50)}{s+200} Homework Equations Bode Plot, Feedback The...
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    Finding the state space model of a nonlinear system

    So the evaluation at (-15,5) becomes y'= \begin{pmatrix} 0 & 20 \\ -1 & -3 \end{pmatrix} ?
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    Finding the state space model of a nonlinear system

    Homework Statement The state space model of a nonlinear system is x'_1(t) = 2x^2_2(t) - 50 x'_2(t) = -x_1(t) - 3x_2(t) + u(t) Where x_1(t) and x_2(t) are the states, and u(t) is the input. The output of the system is x_2(t). Find the state space model of this system linearized at the...
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    Drawing with trigonometric function

    Yeah, translating the axes by defining a new set of axes such as x' and y', then rotating it via trigonometric function but I was struggling big time about that. Any suggestions?
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    Drawing with trigonometric function

    No it can be in terms of X too. How should I modelize the lines which goes at 45 degree angle?
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    Drawing with trigonometric function

    Homework Statement Come up with a set of equations to draw the following picture: http://img197.imageshack.us/img197/7428/equation.jpg [Broken] Homework Equations The Attempt at a Solution The circle is easy. 1000 = sqrt(x^2+y^2) I can just model the equation with sines. So y_1 = 300...
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    Cumulative Distribution Function problem

    Oh.. Ok I'm still a bit lost on how to tackle this problem..:confused:
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    Cumulative Distribution Function problem

    Homework Statement Let the independent random variables X1,X2,X3 have the same cdf F(x). Let Y be the middle value of X1,X2,X3. Determine the cdf of Y. Homework Equations F(x) = P(X<=x) = ∫-inf to x f(y)dy The Attempt at a Solution I don't understand the question, what does it...
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    Discrete Probability Mass Function

    Twenty million dollars, ten million dollars and zero dollars?? (edit)nvm I figured out ty
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    Discrete Probability Mass Function

    Homework Statement A gas supply company is trying to set up contracts with two clients, A and B. The company will make a profit of ten million dollars for each contract that is successfully agreed. The probability of agreeing a deal with client A is 1/4 and the probability of agreeing a deal...
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    Random Grammar Question

    I know this probably isn't the best place to ask this question but here goes anyways lol What's wrong with the next sentence/ "What do you feel when you see a smoke detector? Do you ever feel like an astronaut? No? Well, the next time you see one, try to imagine that it's part of your...
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    Induction proof on list

    The class is known as Advanced Discrete Structures, crosslisted with Mathematics and Computer Science. Apparently we cover topics of both formal logic and abstract computer science. This is the notes we got from the professor. Maybe this would be of help...
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    Induction proof on list

    Did I finally break the experts here with an unsolvable question? Bump
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    Induction proof on list

    Homework Statement Prove by finite list induction ∀xs:: [a]. map (\x -> x) xs = xs Homework Equations map f [ ] = [ ] map f (x : xs) = (f x) : map f xs The Attempt at a Solution The list induction principle to prove a finite lists of type a is [P([ ])^ ∀x :: a. ∀xs ...
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