In this paper, we give a brief overview on Gröbner bases theory, addressed to novices without prior knowledge in the field. After explaining the general strategy for solving problems via the Gröbner approach, we develop the concept of Gröbner bases by studying uniquenss of polynomial division ("reduction"). For explicitly constructing Gröbner bases, the crucial notion of S polynomials is introd...

The theory of Groebner Bases, which has recently been honored with the ACM Paris Kanellakis Theory and Practice Award, has become a crucial building block to computer algebra, and is widely used in science, engineering, and computer science. It is wellknown that Groebner bases computation is EXP-SPACE in a general polynomial ring setting. However, for many important applications in computer sci...

The theory of Groebner Bases, which has recently been honored with the ACM Paris Kanellakis Theory and Practice Award, has become a crucial building block to computer algebra, and is widely used in science, engineering, and computer science. It is wellknown that Groebner bases computation is EXP-SPACE in a general setting. In this paper, we give an algorithm to show that Groebner bases computat...

the purpose of this article is to present the link among resource based theory, marketing strategy, and firms’ performance in order to propose integrative framework showing how the three constructs are linked. it is organized based on a review of academic literature on resource based theory and marketing strategy chronicled in major marketing journals up to december 2015. besides, the paper ref...

Hubicka, E.; Syslo, M. M. Minimal bases of a graph. Recent advances in graph theory, Proceedings of 2nd Czechoslovak Symposium on Graph Theory; Fielder, M., Ed.; Academia: Prague, 1975; pp 283-293. Syslo, M. M. On cycle bases of a graph. Networks 1979,9, 123-132. Syslo, M. M. Minimum length cycle bases of a graph. Methods Oper. Res. 1980, 37, 285-290. Kolasinska, E. On a minimum cycle basis of ...

We discuss the notion of uniform canonical bases, both in an abstract manner and specifically for the theory of atomless Lp lattices. We also discuss the connection between the de nability of the set of uniform canonical bases and the existence of the theory of beautiful pairs (i.e., with the nite cover property), and prove in particular that the set of uniform canonical bases is de nable in al...

We introduce Rosetta, a program allowing for the translation between different bases of effective field theory operators. We present the main functions of the program and provide an example of usage. One of the Lagrangians which Rosetta can translate into has been implemented into FeynRules, which allows Rosetta to be interfaced into various high-energy physics programs such as Monte Carlo even...

rationality and spirituality is a theory follows the spiritualism in west, to fill the spiritual gap made by modernism. the goal of this theory is reduction of human’s pain by collecting between rationality and spirituality, which is engendered by modernism and religion. as modernism based on reason, rationality is fundamental in this theory. spiritualty is application of rationality or is pers...