Finding the derivative of a vector function is a fundamental concept in calculus that extends the idea of differentiation from scalar functions to functions that output vectors. This process is ...

We investigate the partial derivative approach to the change of scale formula for the functon space integral and we investigate the vector calculus approach to the directional derivative on the ...

ABSTRACT: This note studies the optimality conditions of vector optimization problems involving generalized convexity in locally convex spaces. Based upon the concept of Dini set-valued directional ...

This note studies the optimality conditions of vector optimization problems involving generalized convexity in locally convex spaces. Based upon the concept of Dini set-valued directional derivatives, ...

For a function f: x -> y, the Jacobian function has the signature: jac_f: x, out_y -> dy/dx. This signature makes a lot of sense in some situations. For example, if f is an implicit function, passing ...

The methods here apply to continuous functions that are finite compositions of simple "scientific calculator" operations, but may be nonsmooth. Operator overloading is used to automatically apply ...

Abstract: This paper proposes a corner detector and classifier using anisotropic directional derivative (ANDD) representations. The ANDD representation at a pixel is a function of the oriented angle ...

Abstract: Leaf area index (LAI) is an important structure parameter of vegetation system. The quantitative remote sensing can offer two dimensional distribution of LAI. The variation of background, ...