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1 Conformal modulus, a measure of the size of a curve family. 2  Modulus of continuity, a function gauging the uniform continuity of a function. 3  Modular arithmetic, the modulus being the value at which numbers wrap around.  Similarly, the modulus of a Dirichlet character.
5.5 Modulus of a complex number DEFINITION 5.5.1 (Modulus) If z = x + iy, the modulus of z is thenonânegative real number |z| deï¬ned by |z| =px 2 +y 2. Geometrically, themodulus of z is the distance from z to 0 (see Figure 5.3).More generally, |z 1 âz 2 | is the distance between z 1 and z 2 in the complexplane.