- #1
Anna Kaladze
- 35
- 0
Hi All,
Sorry perhaps for a stupid question, but I am pretty confused by this one...
Suppose I have two different smooth functions, f(x) and g(x) both defined on a closed interval [a,b]. How do I calculate the average relative distance between the all values of these functions (say relative to g(x))? (I do not care about +/- signs). If I had not had functions and only say, 2 discrete values, say, z1=10, y1=8 and z2=20, y2=18, then it would be easy I guess: (1/2)*[(10-8)/8+(20-18)/18]. But for the continuous functions? I assume I need to do some integrations, but my formulas ended up not making sense to me...Please help.
Regards,
Anna.
Sorry perhaps for a stupid question, but I am pretty confused by this one...
Suppose I have two different smooth functions, f(x) and g(x) both defined on a closed interval [a,b]. How do I calculate the average relative distance between the all values of these functions (say relative to g(x))? (I do not care about +/- signs). If I had not had functions and only say, 2 discrete values, say, z1=10, y1=8 and z2=20, y2=18, then it would be easy I guess: (1/2)*[(10-8)/8+(20-18)/18]. But for the continuous functions? I assume I need to do some integrations, but my formulas ended up not making sense to me...Please help.
Regards,
Anna.
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