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Normalizing data between arbitrary ranges

You want to normalize 0 to 10000 to a new range between -10000 to +10000

Formula

max' = 10000
min' = -10000
max = 10000
min = 0

a = (max' - min')/(max - min)
b = (max' - (a * max)) or (min' - (a * min))
newvalue = a * {0 .....10000} + b

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