OK So I’m mostly concerned with the discrete case, since I shy away from the formula (It’s scary). But I just want to make sure that I understand how to apply this to a given problem.
Say a function is the classic [t], which represents the largest complete integer value. (Apologies if this isn’t the correct notation). What I mean is that for 8.7654 we have 8, 5.564365 we have 5, etc.
If we are evaluating variation between say 1.5-3.5
Then at 2 we see the function jump up 1 and at 3 we see the same jump of +1.
The quadratic variation would be 1^2 + 1^2 = 2
The cubic variation would be 1^3 + 1^3 = 2
The quartic variation would be 1^4 + 1^4 = 2
The total variation would be |1|+ |1| = 2
Obviously all the answers are the same but I just want to make sure my method is correct in each case. Am I good to go?
Am I doing this right???
Say a function is the classic [t], which represents the largest complete integer value. (Apologies if this isn’t the correct notation). What I mean is that for 8.7654 we have 8, 5.564365 we have 5, etc.
If we are evaluating variation between say 1.5-3.5
Then at 2 we see the function jump up 1 and at 3 we see the same jump of +1.
The quadratic variation would be 1^2 + 1^2 = 2
The cubic variation would be 1^3 + 1^3 = 2
The quartic variation would be 1^4 + 1^4 = 2
The total variation would be |1|+ |1| = 2
Obviously all the answers are the same but I just want to make sure my method is correct in each case. Am I good to go?
Am I doing this right???
Quadratic, Cubic, Quartic, Total (etc.) Variation
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