What is the difference between norm and modulus

Norms are variously denoted , , , or. In this work, single bars are used to denote the complex modulus , quaternion norm , p -adic norms , and vector norms , while the double bar is reserved for matrix norms. The term "norm" is often used without additional qualification to refer to a particular type of norm such as a matrix norm or vector norm.

Most commonly, the unqualified term "norm" refers to the flavor of vector norm technically known as the L2-norm. This norm is variously denoted , , or , and gives the length of an n -vector.

It can be computed as. The norm of a complex number, 2-norm of a vector, or 2-norm of a numeric matrix is returned by Norm [ expr ]. Furthermore, the generalized -norm of a vector or numeric matrix is returned by Norm [ expr , p ]. The norm length of a vector should not be confused with a normal vector a vector perpendicular to a surface.

Gradshteyn, I. Tables of Integrals, Series, and Products, 6th ed. Weisstein, Eric W. Register Now. Hey there! We receieved your request. Please choose valid name. Please Enter the valid Email.

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