We study the geometry in perturbations of principal submodules Drury–Arveson space. show that give rise to smooth vector bundles Hilbert spaces which are equipped with natural Hermitian connections. compute associated parallel transport operators and explore properties monodromy.

WC present lower bounds on the number of rounds required to solve a decision problem in the parallel algebraic decision tree model. More specifically, we show that any parallel algorithm in the fixed degree algebraic decision tree model that answers membership queries in M’ CR” using p processors, requires s2(log 1 WI/H log( p;‘n)) rounds where 1 W 1 is the number of connected components of W. ...

We give the very first example of a simple 2−(81,6,2) design. Its points are elements elementary abelian group order 81 and each block is union two parallel lines 4-dimensional geometry over field 3. Hence it also additive.

The aim of this review article is twofold. On the one hand, it reviews basics of class of infinite-dimensional representation theory applied to basic example of symplectic Dirac operator in the framework of parabolic geometry. On the other hand, it offers to pure representation theorists a natural geometrical context for realization of class of infinite-dimensional representations. We extend th...

This paper proposes a generic feature geometry based lexical representation of phonological description using inheritance networks which has applications in various areas of speech technology. The feature geometry based lexicon model provides the linguistic knowledge for a generic lexicon tool which allows application-specific lexica to be generated. The relevance of this approach to interactiv...

We present a fully parallel nonlinearly implicit algorithm for the numerical simulation of some branching blood flow problems, which require efficient and robust solver technologies in order to handle the high nonlinearity and the complex geometry. Parallel processing is necessary because of the large number of mesh points needed to accurately discretize the system of differential equations. In...

This paper presents a parallel, implementation-friendly analytic visibility method for triangular meshes. Together with an analytic filter convolution, it allows for a fully analytic solution to anti-aliased 3D mesh rendering on parallel hardware. Building on recent works in computational geometry, we present a new edge-triangle intersection algorithm and a novel method to complete the boundari...

Parameter determination and optimization play an important role for parallel kinematic machines since the machines properties depend significantly on an appropriate choice of the geometry. In this paper, the design of parallel machines is formulated in terms of a global constrained optimization problem, where the constraints are deduced from imperative process requirements e.g. size of the work...

1.1. What is this course about? The foundations of differential geometry (= study of manifolds) rely on analysis in several variables as “local machinery”: many global theorems about manifolds are reduced down to statements about what happens in a local neighborhood, and then anaylsis is brought in to solve the local problem. Analogously, algebraic geometry uses commutative algebraic as its “lo...

We investigate some geometric aspects of lightlike hypersurfaces of indefinite Kenmotsu manifolds, tangent to the structure vector field, by paying attention to the geometry of leaves of integrable distributions. Theorems on parallel vector fields, Killing distribution, geodesibility of those leaves are obtained. The geometrical configuration of such lightlike hypersurfaces and leaves of its sc...