absolute value

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• (US) IPA^(key): /ˈæb.səˌlut ˈvæl.ju/, /ˌæb.səˈljut ˈvæl.ju/

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absolute value (plural absolute values)

1. (mathematics) For a complex number ${\displaystyle a+bi}$ , the principal square root of the sum of the squares of its real and imaginary parts, ${\displaystyle {\sqrt {a^{2}+b^{2}}}}$ . Denoted by | |.

   The absolute value |x| of a real number x is ${\displaystyle {\sqrt {x^{2}}}}$ , which is equal to x if x is non-negative, and −x if x is negative.

• modulus

• Euclidean norm
  • norm

• p-adic absolute value
• trivial absolute value