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Consider a surface S on which a scalar field f is defined

  1. Jan 23, 2008 #1
    "Consider a surface S on which a scalar field f is defined"

    "Consider a surface S on which a scalar field f is defined"

    what does "on which is defined" mean

    phys descript answers appreciated!
     
  2. jcsd
  3. Jan 23, 2008 #2
    "Consider a surface S on which a scalar field f is defined"

    "Consider a surface S on which a scalar field f is defined"

    what does "on which is defined" mean

    phys descript answers appreciated!
     
  4. Jan 23, 2008 #3

    nicksauce

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    Suppose I have a surface parametrized by (x,y). Then I have a scalar field f(x,y), for example f(x,y) = x + y. Then I have a surface S on which a scalar field f is defined. For example defining the temperature at every point on a sphere.
     
  5. Jan 23, 2008 #4

    HallsofIvy

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    It means there is a function defined which, to every point of the surface, assigns a scalar (number).
     
  6. Jan 23, 2008 #5

    HallsofIvy

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    Double post! I am going to combine the two.
     
  7. Jan 23, 2008 #6
    thanks
     
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