Subscript in a function:

MrOletta

Hello everyone. Quick question..I'm working on this problem and this subscript has me a little confused.

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

What would and be?

Any help would be appreciated!

BlazeFire

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?

MrOletta

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)

Marty81

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))]