Kähler quantization of H(T,R) is studied. It is shown that this theory corresponds to a fermionic σ-model targeting a noncommutative space. By solving the complex-structure moduli independence conditions, the quantum background independent wave function is obtained. We study the transformation of the wave function under modular transformation. It is shown that the transformation rule is charact...

Scientific applications are usually written in a single language such as C, C++, or a flavor of Fortran. Various algorithmic differentiation (AD) tools exist to differentiate these applications by using source transformation [1, 2, 3, 4] or operator-overloading [5, 6]. The language that an application is written in often dictates the approach and tool to be used for differentiation. Additionall...

In our earlier paper ([AKT1]), by interpreting the formal transformation to the Airy equation near a simple turning point as the symbol of a microdifferential operator, we derived the Voros connection formula or, equivalently, the discontinuity function of a Borel transformed WKB solution at its movable singularities. In this paper we extend this approach to the two turning points problem; by c...

In this paper we analyze the transparency of the generalized scattering transformation applied to teleoperation systems with constant time delay. Particularly, the human operator, the remote environment, and the robot manipulators are modeled as dissipative instead of just passive systems. By the application of this transformation delay-independent stability is guaranteed. It is shown that tran...

The SO(4) invariance of the transfer matrix for the one-dimensional Hubbard model is clarified from the QISM (quantum inverse scattering method) point of view. We demonstrate the SO(4) symmetry by means of the fermionic L-operator and the fermionic R-matrix, which satisfy the graded Yang-Baxter relation. The transformation law of the fermionic L-operator under the SO(4) rotation is identified w...

Various algorithmic differentiation tools have been developed and applied to large-scale simulation software for physical phenomena. Until now, two strictly disconnected approaches have been used to implement algorithmic differentiation (AD), namely, source transformation and operator overloading. This separation was motivated by different features of the programming languages such as Fortran a...

Transformation is a biologically inspired genetic operator that, when incorporated in the standard Genetic Algorithm can promote diversity in the population. Previous work using this genetic operator in the domain of function optimization and combinatorial optimization showed that the premature convergence of the population is avoided. Furthermore, the solutions obtained were, in general, super...

Using connection with quantum field theory, the infinitesimal covariant abelian gauge transformation laws of relativistic two-particle constraint theory wave functions and potentials are established and weak invariance of the corresponding wave equations shown. Because of the three-dimensional projection operation, these transformation laws are interaction dependent. Simplifications occur for l...