The goal of this study is the automatic construction of a vectorial polynomial basis for Nédélec mixed finite elements [7], particular, the generation of finite elements without the expression of the polynomial basis functions, using symbolic calculus: the exhibition of basis functions has no practical interest.

SyFi is an open source C++ library for defining and using variational forms and finite elements based on symbolic representations of polygonal domains, degrees of freedom and polynomial spaces. Once the finite elements and variational forms are defined, they are used to generate efficient C/C++ code.

SyFi is an open source C++ library for defining and using variational forms and finite elements based on symbolic representations of polygonal domains, degrees of freedom and polynomial spaces. Once the finite elements and variational forms are defined, they are used to generate efficient C/C++ code.

In this paper we study the parallelization of the inference process for connectionist models. We use a symbolic formalism for the representation of the connectionist models. With this translation, the training mechanism is local in the elements of the network, the computing power is improved in the network nodes and a local hybridization with symbolic parts is achieved. The inference in the nal...

Symbolic Finite Transducers augment classic transducers with symbolic alphabets represented as parametric theories. Such extension enables succinctness and the use of potentially infinite alphabets while preserving closure and decidability properties. Extended Symbolic Finite Transducers further extend these objects by allowing transitions to read consecutive input elements in a single step. Wh...

The theory of symbolic racism places its origins in a blend of anti-Black affect and conservative values, particularly individualism. We clarify that hypothesis, test it directly, and report several findings consistent with it. Study 1 shows that racial prejudice and general political conservatism fall into 2 separate factors, with symbolic racism loading about equally on both. Study 2 found th...

contemporary   poetry   has  always  aimed  at  achieving  its  goal  in  reflecting  social  &  political  realities   and  awaring  people  and  encouraging  them  in  changes  which  lead  to  improvements  by (using & exploiting )  new  literary  techniques. moreover ,  applying  symbols  as  one  of  the  literary  interpretation ,  is  the  most  salient  sample  of contemporary arabic  p...