It is an old and challenging topic to investigate for which discrete groups G the full group C*-algebra C⁎(G) residually finite-dimensional (RFD). In particular not much known about how RFD property behaves under fundamental constructions, such as amalgamated free products HNN-extensions. [12] it was proved that central of virtually abelian are RFD. this paper we prove holds beyond case. Our me...

In the embryonic neural tube, multiple signaling pathways work in concert to create functional neuronal circuits in the adult spinal cord. In the ventral neural tube, Sonic hedgehog (Shh) acts as a graded morphogen to specify neurons necessary for movement. In the dorsal neural tube, bone morphogenetic protein (BMP) and Wnt signals cooperate to specify neurons involved in sensation. Several sig...

In this paper, Hopfield Neural Network (HNN) and Lagrange Multiplier (LM) solutions to economic dispatch (ED), NOx emission dispatch (EmD), and economic-emission dispatch (EED) of a sample system consisting of six thermal generators are presented. Transmission losses are included. The results of HNN are compared with the results of LM.

In the study, embedded BASIC Stamp 2 (BS2) microchip controller is used to design with Hopfield neural network (HNN) as the foundation of sample training, which applies for a soldering platform of mechanical vision and accomplishes PCB soldering positioning technology. The proposed system design method in this paper can be divided into two parts: 1) the control rules of RC servo motor is design...

This paper presents an adaptive cross-layer resource allocation problem with the fairness in multi-user OFDMMISO communication systems, and provides two solutions with Hopfield Neural Network (HNN) and Genetic Algorithm (GA) for the problem. We utilized HNN’s characteristics such as parallel processing, fast convergence speed and easy convergence to the optimum, to solve this problem under the ...

-The Hopfield neural network (HNN) is introduced in the paper and is proposed as an effective multiuser detection in direct sequence-ultra-wideband (DS-UWB) systems. It can approximate to maximum likelihood (ML) detector by mathematical analysis. According to the HNN-based technique, the computer simulation results show that they have good performances and much lower computational complexity in...

A group G is said to be of type FPoo if the ZG-module Z admits a projective resolution (Pi) of finite type (i.e., with each Pi finitely generated). If G is finitely presented, this is equivalent by Wall [5, 6] to the existence of an Eilenberg-Mac Lane complex K(G, 1) of finite type (i.e., with finitely many cells in every dimension). Up to now, all known torsion-free groups of type FPoo have ha...

We prove that the Schützenberger graph of any element of the HNN-extension of a finite inverse semigroup S with respect to its standard presentation is a context-free graph in the sense of [11], showing that the language L recognized by this automaton is context-free. Finally we explicitly construct the grammar generating L, and from this fact we show that the word problem for an HNN-extension ...

It is shown that the compressed word problem for an HNNextension 〈H, t | tat = φ(a)(a ∈ A)〉 with A finite is polynomial time Turing-reducible to the compressed word problem for the base group H . An analogous result for amalgamated free products is shown as well.