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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.
In materials science, shear modulus or modulus of rigidity, denoted by G, or sometimes S or Î¼, is defined as the ratio of shear stress to the shear strain :where. Shear modulus' derived SI unit is the pascal (Pa), although it is usually expressed in gigapascals (GPa) or in thousands of pounds per square inch (ksi).Its dimensional form is M 1 L â1 T â2.hear modulus' derived SI unit is the pascal (Pa), although it is usually expressed in gigapascals (GPa) or in thousands of pounds per square inch (ksi). Its dimensional form is M 1 L â1 T â2.