A minimal set of generators of the ring of invariants for four linear subspaces of dimension n in a vector space of dimension 2n is computed, using the symbolic method introduced by Grosshans et al. [Grosshans, F., Rota, G.-C. & Stein, J. A. (1987) Invariant Theory and Superalgebras (Am. Math. Soc., Providence, RI)].

We present a practical application of parallel symbolic computation in General Relativity: the calculation of curvature invariants for large dimension. We discuss the structure of the calculations, an implementation of the technique and scaling of the computation with spacetime dimension for various invariants. Electronic address: [email protected]

This paper is mainly concerned with Hausdorff dimensions of Besicovitch-Eggleston subsets in countable symbolic space. A notable point is that, the dimension values posses a universal lower bound depending only on the underlying metric. As a consequence of the main results, we obtain Hausdorff dimension formulas for sets of real numbers with prescribed digit frequencies in their Lüroth expansions.

The widespread adoption of the current Grid technologies is still impeded by a number of problems, one of which is difficulty of developing and implementing Grid-enabled applications. In another dimension, symbolic computation, aiming to automatize the steps of mathematical problem solving, has become in the last years a basis for advanced applications in many areas of computer science. In this...

ghassan kanafani (1936-1972) is one of the most famous palestine romancers who has created different personality types in four romances of “men in the sun” ,” all that's left to you” ,” returning to haifa” , “umme sa'd”. symbolic personality is one of the most important personality types that he has given more attention to, whether feminine or masculine, they have been used abundantly...

Through language, we are able to assign symbolic analyses to linguistic entities physical objects and events whose complexity has no intrinsic upper bound. Such symbolic analyses are abstract, since a single physical entity can support distinct analyses. Yet we have partial intuitive access to the properties of these analyses through their projections in different 'dimensions', including the wi...

•Computer algebra systems have a hard time working with symbolic values, e.g. –Polynomials of degree d –Elements of a field of characterisic p –Matrices of dimension n × n when d, p and n are not given. •We are interested in expanding the range of problems computer algebra systems can handle, beginning with algorithms for polynomials of symbolic degree. •+, ×, ∂ are straightforward. •What about...