Extension Of The Alpha Language To Recurrences On Sparse Periodic Domains
نویسندگان
چکیده
Alpha is a functional language based on systems of aane recurrence equations over polyhedral domains. We present an extension of Alpha to deal with sparse polyhedral domains. Such domains are modeled by Z-polyhedra, namely the intersection of lattices and polyhedra. We summarize the mathematical closure properties of Z-polyhedra, and we show how the important features of Alpha, namely normalization, substitution, change of basis, are preserved in the extension.
منابع مشابه
THE ROPER-SUFFRIDGE EXTENSION OPERATORS ON THE CLASS OF STRONG AND ALMOST SPIRALLIKE MAPPINGS OF TYPE $beta$ AND ORDER $alpha$
Let$mathbb{C}^n$ be the space of $n$ complex variables. Let$Omega_{n,p_2,ldots,p_n}$ be a complete Reinhardt on$mathbb{C}^n$. The Minkowski functional on complete Reinhardt$Omega_{n,p_2,ldots,p_n}$ is denoted by $rho(z)$. The concept ofspirallike mapping of type $beta$ and order $alpha$ is defined.So, the concept of the strong and almost spirallike mappings o...
متن کاملImage Classification via Sparse Representation and Subspace Alignment
Image representation is a crucial problem in image processing where there exist many low-level representations of image, i.e., SIFT, HOG and so on. But there is a missing link across low-level and high-level semantic representations. In fact, traditional machine learning approaches, e.g., non-negative matrix factorization, sparse representation and principle component analysis are employed to d...
متن کاملA Comparative and Contrastive Study on the Meaning Extension of Color Terms in Persian and English
We deal with a wide range of colors in our daily life. They are such ubiquitous phenomena that is hard and next to impossible to imagine even a single entity (be it an object, place, living creature, etc) devoid of them. They are like death and tax which nobody can dispense with. This omnipresence of colors around us has also made its way through abstract and less tangible entities via the inte...
متن کاملA note on "An interval type-2 fuzzy extension of the TOPSIS method using alpha cuts"
The technique for order of preference by similarity to ideal solution (TOPSIS) is a method based on the ideal solutions in which the most desirable alternative should have the shortest distance from positive ideal solution and the longest distance from negative ideal solution. Depending on type of evaluations or method of ranking, different approaches have been proposing to calculate distances ...
متن کاملConceptual Metaphoric Language Use in Structuring Political Discourse in Iran-West Relations: A CDA Perspective
The present study was carried out with the purpose of examining the role of metaphorical language in the critical discourse analysis (CDA) of political texts based on a modern framework postulated by Kövecses (2015). The corpus of the study consisted of thirty-thousand words chosen as a textual sample to see which source conceptual domains are used and what generic/discursive attributes emerge ...
متن کامل