In this paper, we define a matrix transform of functionals via the bounded linear operators on function space. We then establish existence for exponential functionals. Finally, obtain some fundamental formulas involving generalized first variations.

Abstract Whenrobots physically interact with the environment, compliant behaviors should be imposed to prevent damages all entities involved in interaction. Moreover, during physical interactions, appropriate pose controllers are usually based on robot dynamics, which ill-conditioning of joint-space inertia matrix may lead poor performance or even instability. When control is not precise, large...

A bstract In this paper, we explore the open string amplitude’s dual role as a space-time S-matrix and 2D holomorphic CFT correlation function. We pursue correspondence in two directions. First, beginning with general disk integrand dressed Koba-Nielsen factor, demonstrate that exchange symmetry for factorization residue of amplitude forces to be expandable on SL(2,R) conformal blocks. Furtherm...