Small Universal Numerical P Systems with Thresholds for Computing Functions

Abstract

Abstracted from the nested structure of biological cells with application on the modeling of economical processes, numerical P systems (in short, NP systems) as a kind of distributed parallel computation systems have been proposed. It has been proven that NP systems and variants are Turing universal for number accepting/generating devices and language generating device. However, universality of NP systems as function computing devices has not been established. Aiming at numerical P systems with thresholds (in short, TNP systems), small universality for computing functions is discussed in this paper. Six small universal function computing devices of TNP systems for two threshold cases and working on three different modes are constructed, respectively.

Microstructure and Properties of TiCp/GH3536 prepared by Selective Laser Melting

“…Generally, the internal structure of hot end parts is complex, which is difficult to produce by traditional casting methods, while SLM process can easily realize the near net shape of GH3536 alloy complex components [9,10]. However, researchers also found that even under the optimal process conditions, microstructure defects such as micro-cracks and pores will appear in the GH3536 alloy prepared by SLM, resulting in poor material properties [11,12].…”

Spiking Neural P Systems with Membrane Potentials, Inhibitory Rules, and Anti-Spikes

“…The distributed parallel computing models obtained from the development of membrane computing are membrane systems, also known as P systems, and the study of P systems has been divided into three types according to the cell membrane structure or cell distribution: cell-like P systems, tissue-like P systems, and neural-like P systems. For the theoretical research of membrane computing, three types of P systems have been extended to obtain several universal computational models [ 3 , 4 , 5 , 6 , 7 ], and the computational complexity of extended P systems has been explored [ 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 ]. For the application research of membrane computing, existing studies have realized the integration of membrane computing with algorithms for applications in robot control [ 21 , 22 ], data modeling, and optimization [ 23 , 24 , 25 , 26 ], algorithms for solving NP problems [ 27 , 28 , 29 ], clustering algorithms [ 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 ], and image processing [ 38 , 39 , 40 ].…”