Compositions of Functions and Permutations Specified by Minimal Reaction Systems
نویسنده
چکیده
This paper studies mathematical properties of reaction systems that was introduced by Enrenfeucht and Rozenberg as computational models inspired by biochemical reaction in the living cells. In particular, we continue the study on the generative power of functions specified by minimal reaction systems under composition initiated by Salomaa. Allowing degenerate reaction systems, functions specified by minimal reaction systems over a quarternary alphabet that are permutations generate the alternating group on the power set of the background set.
منابع مشابه
ADAPTIVE FUZZY TRACKING CONTROL FOR A CLASS OF PERTURBED NONLINEARLY PARAMETERIZED SYSTEMS USING MINIMAL LEARNING PARAMETERS ALGORITHM
In this paper, an adaptive fuzzy tracking control approach is proposed for a class of single-inputsingle-output (SISO) nonlinear systems in which the unknown continuous functions may be nonlinearlyparameterized. During the controller design procedure, the fuzzy logic systems (FLS) in Mamdani type are applied to approximate the unknown continuous functions, and then, based on the minimal learnin...
متن کاملA Novel Intrusion Detection Systems based on Genetic Algorithms-suggested Features by the Means of Different Permutations of Labels’ Orders
Intrusion detection systems (IDS) by exploiting Machine learning techniques are able to diagnose attack traffics behaviors. Because of relatively large numbers of features in IDS standard benchmark dataset, like KDD CUP 99 and NSL_KDD, features selection methods play an important role. Optimization algorithms like Genetic algorithms (GA) are capable of finding near-optimum combination of the fe...
متن کاملManagement Education in Public Health: Further Considerations; Comment on “Management Matters: A Leverage Point for Health Systems Strengthening in Global Health”
Knowing and applying the basic management functions of planning, organizing, staffing, directing, and controlling, as well as their permutations and combinations, are vital to effective delivery of public health services. Presently, graduate programs that prepare public health professionals neither emphasize teaching management theory, nor its application. This deficit puts those who become man...
متن کاملAvoiding Patterns of Length Three in Compositions and Multiset Permutations
We find generating functions for the number of compositions avoiding a single pattern or a pair of patterns of length three on the alphabet {1, 2} and determine which of them are Wilf-equivalent on compositions. We also derive the number of permutations of a multiset which avoid these same patterns and determine the Wilf-equivalence of these patterns on permutations of multisets. 2000 Mathemati...
متن کاملFuzzy adaptive tracking control for a class of nonlinearly parameterized systems with unknown control directions
This paper addresses the problem of adaptive fuzzy tracking control for aclass of nonlinearly parameterized systems with unknown control directions.In this paper, the nonlinearly parameterized functions are lumped into the unknown continuous functionswhich can be approximated by using the fuzzy logic systems (FLS) in Mamdani type. Then, the Nussbaum-type function is used to de...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- CoRR
دوره abs/1707.01344 شماره
صفحات -
تاریخ انتشار 2017