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Definitionen av absolutbelopp

Absolutbeloppet ∣a∣ utvecklas på ett av två sätt. Om a är 0 eller större ändrar absolutbeloppet ingenting, och då är ∣a∣=a. Däremot om a är ett negativt tal byter ∣a∣ tecken på detta med ett minustecken: ∣a∣=-a. Dessa två vägar att utveckla ∣a∣ brukar skrivas ihop som

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