We study super parallel transport around super loops in a quotient stack, and show that this geometry constructs a global version of the equivariant Chern character.

The canonical problem of an extra-ordinary Transverse Electromagnetic wave propagating in a parallel plane waveguide with a semi-infinite upper conductor and loaded with magnetized plasma is considered. The homogeneous biasing constant magnetic field is assumed parallel to the substrate and normal to the wave propagation, which incidents normally on the truncated edge. The Wiener-Hopf technique...

We find the geometry of all supersymmetric type I backgrounds by solving the gravitino and dilatino Killing spinor equations, using the spinorial geometry technique, in all cases. The solutions of the gravitino Killing spinor equation are characterized by their isotropy group in Spin(9, 1), while the solutions of the dilatino Killing spinor equation are characterized by their isotropy group in ...

It is argued that properties of Democritus atoms parallel those of volume forms in differential geometry. This kind of atoms has not ”size” of

We investigate singularities of all parallel surfaces to a given regular surface. In generic context, the types of singularities of parallel surfaces are cuspidal edge, swallowtail, cuspidal lips, cuspidal beaks, cuspidal butterfly and 3-dimensional D4 singularities. We give criteria for these singularities types in terms of differential geometry (Theorem 3.4 and 3.5).

Parallel Computing has been one of the most important problems in computer science as well as a solution to satisfy the growing need of computation speed. Although in the past decades, parallel computing has been an interested area, it is going to be more popular and useful among simple users. In the past years, the area was strange for home users due to the high cost of installing a parallel c...

1. In a former-paper (these PROCEZDINGS, Feb. 1922) Professor Veblen and the writer considered the geometry of a general space from the point of view of the paths in such a space-the paths being a generalization of straight lines in euclidean space. From this point of view it is natural to think of the tangents to a path as being parallel to one another. In this way our ideas may be coordinated...

The regression model yt = tjt(9u . . . . 0m) + s,; (i"= 1 , . . . , JV, 0 £ (9) is considered, with ;/; nonlinear and continuously twice differentiable and with («j, . . . , ejv) ~ V(0, £ ) , £ k n o w n . The one-dimensional case (i.e. m = 1) is investigated mainly. A nonlinear geometry of the sample space R is proposed and curves parallel to the set {(t/^9),..., tjN(0)); 6 e &} are considered...