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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.
If the object is twisted through an angle q, then the shear strain is: shear strain = tan q. Finally, the shear modulus MS of a material is defined as the ratio of shear stress to shear strain at any point in an object made of that material. The shear modulus is also known as the torsion modulus.