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Subscript in a function:

MrOlettaMrOletta Registered User regular
edited April 2007 in Help / Advice Forum
Hello everyone. Quick question..I'm working on this problem and this subscript has me a little confused.

Say we have Eq1.jpg. What exactly is the function of the subscript t.

What would Eq2.jpg and Eq3.jpg be?

Any help would be appreciated!

http://olverawoodworks.com
MrOletta on

Posts

  • BlazeFireBlazeFire Registered User regular
    edited April 2007
    I think we need more of the context. The t could mean anything. Maybe its to signify that t is being held constant? Usually the variable would be accompanied by a bar though. Are you given another function that has the s?

    BlazeFire on
  • MrOlettaMrOletta Registered User regular
    edited April 2007
    The question states that if G t (x) equals what I have posted above, show that the convolution of G t (x) and G s (x) = G t+s (x)

    MrOletta on
    http://olverawoodworks.com
  • Marty81Marty81 Registered User regular
    edited April 2007
    It just means that G is a function of t and x. Functions of two variables can be thought of as functions of 1 variable taking values in functions of the other, and that's what they're doing here - they're thinking of picking a value for t, which defines G_t as a function of x. So if you pick two numbers, t and s, then you get two functions of x - G_t and G_s.

    Edit: Specifically, G_{t+s} (x) would be 1/sqrt[4 pi k (t+s)] e^[-x^2/(4 k (t+s))]

    Marty81 on
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