Recent content by mathman2

  1. M

    MHB What is the optimized angle for maximum intensity in lighting?

    $I(\phi)=sin(\phi\pi)cos(\phi)^2$ so it seems .41 radians or (23.49 degrees) is the optimized angle for the highest intensity possible, given those constants. Thank you, I am seriously blown away with this website and will be sure to tell all my friends to use this in the future
  2. M

    MHB What is the optimized angle for maximum intensity in lighting?

    Hmmm okay, how then would I solve this optimization problem? how can I find the derivative of this equation when there are so many undefined constants
  3. M

    MHB What is the optimized angle for maximum intensity in lighting?

    Okay, thanks. Should I define a relationship between phi max and phi? How would I do that algebraically? 0<phi<phi max 0<phi max<90
  4. M

    MHB What is the optimized angle for maximum intensity in lighting?

    Wow! thanks, I knew the distance formula was off. As far as this "constant" you referred too in the final problem what is that? Also should phi max be set to any value between 0-90?
  5. M

    MHB What is the optimized angle for maximum intensity in lighting?

    I really need help creating an optimization problem for this, I have this so far.. I(φ, φMax) = Sin(φ * π/φMax)/(Sin(x)2 + 1) With that said, I don't really understand how to enter values into that equation, "Phi" is really throwing me off, is it a constant or should I treat it as a variable...
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