expVn

expVn is not a standard, universally defined mathematical object. It appears in various texts and code bases as a compact notation for an exponential expression involving a quantity V and a parameter, often denoted n. Because it is context dependent, its exact meaning must be inferred from the surrounding material.

Common interpretations include the following. If V and n are real numbers, expVn usually denotes exp(V n), i.e., e to the power of V times n. If V is a square matrix and n is a scalar, expVn is frequently understood as the matrix exponential of nV, written exp(nV) or e^{nV}. In this case the result is a matrix obtained by applying the matrix exponential to the scaled matrix nV. If V is a vector, there is no universal convention for expVn; many standard uses treat the matrix exponential case as the primary interpretation, while other specialized notations may appear in particular texts or applications.

In programming contexts, expVn may simply be a variable name or a function alias defined by a library or user, with behavior determined by that specific definition. Consequently, when encountering expVn, readers should verify the definition within the given source, paying attention to whether V is scalar, vector, or matrix, and whether n is an integer or real scalar.

Related concepts include the scalar exponential function exp(x) = e^x and the matrix exponential exp(A) for a square matrix A, along with the distinction between scalar and matrix exponentiation and their respective properties.