Recent content by cvanloon

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    Graduate Multi-Variable Second Order Taylor Series Expansion: Ignoring Terms

    Thank you for your reply. Let's just say that you have no knowledge of what the function does and that you have second derivative information for I in x and y, but not xy t xt and yt. Would you rather use just the first order approximation or does "on average" or with greater probability, the...
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    Graduate Multi-Variable Second Order Taylor Series Expansion: Ignoring Terms

    I wasn't sure of a place to put it. Taylor series involve taking derivatives? ;) thanks for your answer though. Still looking for a solid mathematical reason why though. Thanks, Chris
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    Graduate Multi-Variable Second Order Taylor Series Expansion: Ignoring Terms

    So I'm computing a second order Taylor series expansion on a function that has multiple variables. So far I have this I(x,y,t)=dI/dx(change in x)+dI/dy(change in y)+dI/dt(change in t)+2nd order terms Would it still be a better approximation than just he first order if I included some...
    • cvanloon
    • Thread
    • Expansion Multi-variable Second order Series Series expansion Taylor Taylor series Terms
    • Replies: 6
    • Forum: Differential Equations
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    Finding the Fourier Transform of x(t)

    Hello, I am having a hard time finding the Fourier transform of a function like this: x(t)=4+3sin(1.5t)-4cos(2.5t) How do you do this? Thanks, Chris