The conformal space M was introduced by Dirac in 1936. It is an algebraic manifold with a spin structure and possesses naturally an invariant Lorentz metric. By carefully studying the birational transformations of M, we obtain explicitly the transition functions of the spin bundle over M. Since the transition functions are closely related to the propagation in physics, we get a kind of solution...

Bidirectional model transformations create or update a target model according to a base model and vice versa using a single transformation specification for both directions. Triple graph grammars, for example, define which model elements shall exist and how they should reference each other without repeating information for both directions. They can also copy values of simple-typed attributes, s...

In this paper, we present a technique for characterizing CMOS analog circuits based on directed intervals. The technique consists of an analog performance es-timator and a characterization table generator. This characterization information may be eeciently used by the constraint transformation step in an analog synthesis system. We present a genetic algorithm based constraint transformation met...

we introduce a new concept of general $g$-$eta$-monotone operator generalizing the general $(h,eta)$-monotone operator cite{arvar2, arvar1}, general $h-$ monotone operator cite{xiahuang} in banach spaces, and also generalizing $g$-$eta$-monotone operator cite{zhang}, $(a, eta)$-monotone operator cite{verma2}, $a$-monotone operator cite{verma0}, $(h, eta)$-monotone operator cite{fanghuang}, $h$-...

A definition is given and the physical meaning of quantum transformations of a non-commutative configuration space (quantum group coactions) is discussed. It is shown that non-commutative coordinates which are transformed by quantum groups are the natural generalization of the notion of a tensor operator for usual groups and that the quantum group coactions induce semigroups of transformations ...

This paper deals with the boundary value problem involving the differential equation begin{equation*}     ell y:=-y''+qy=lambda y,  end{equation*}  subject to the standard boundary conditions along with the following discontinuity  conditions at a point $ain (0,pi)$  begin{equation*}     y(a+0)=a_1 y(a-0),quad y'(a+0)=a_1^{-1}y'(a-0)+a_2 y(a-0), end{equation*} where $q(x),  a_1 , a_2$ are  rea...

It is shown that the N = 4 superalgebra of the Dirac theory in Taub-NUT space has different unitary representations related among themselves through unitary U(2) transformations. In particular the SU(2) transformations are generated by the spin-like operators constructed with the help of the same covariantly constant Killing-Yano tensors which generate Dirac-type operators. A parity operator is...

In this paper we describe the Garnier systems as isomonodromic deformation equations of a linear system with a simple pole at 0 and a Poincaré rank two singularity at infinity. We discuss the extension of Okamoto’s birational canonical transformations to the Garnier systems in more than one variable and to the Schlesinger systems.

§0. Introduction The sheaves of tangent vector fields, differential forms or differential operators are canonical. Namely they are invariant by the coordinate transformations. We call such sheaves invariant sheaves. More precisely for a positive integer n, an invariant sheaf on n-manifold is given by the data: coherent OX -module FX for each smooth variety X of dimension n and an isomorphism β(...

This paper presents a solution to the TTC2016 challenge ”The Class Responsibility Assignment Case”. Our solution uses the Henshin model transformation language to specify genetic operators in a standard genetic algorithm framework. Due to its formal foundation based on algebraic graph transformations, Henshin is well-suited to specify fundamental change patterns for genetic operators in a decla...