We propose a new model of neural network. It consists of spin variables to describe the state of neurons as in the Hopfield model and new gauge variables to describe the state of synapses. The model possesses local gauge symmetry and resembles lattice gauge theory of high-energy physics. Time dependence of synapses describes the process of learning. The mean field theory predicts a new phase co...

The interaction of a moving charged particle with its coherent electromagnetic field is analysed in the framework of non-relativistic quantum mechanics. It is shown that, when this interaction is taken into account, a spatially localized state may have a mean energy lower than the one corresponding to a delocalized state. PACS. 03.65.-w Quantum mechanics – 03.70.+k Theory of quantized fields – ...

power of the muslim brotherhood after egypt’s revolution of 2011 and effective role in the approval of the constitution in 2012 ,led to be considered the idea of an islamic state by the various media and academic circles . this issue has necessitated need for research on this topic with a focus on the question: what is the idea of an islamic state in the muslim brotherhood's political thou...

a three-parameter cubic equation of state has been proposed for predicting pvt of pure refrigerantssuch as r236ea, r236fa, r245fa, r245ca, r218, r227ea, and r717, from freezing point up to critical pointtemperature and pressures up 650 atm. we explore the theory of the equation of state from the view pointof ihm–song–mason (ism) equation of state, which has been derived on the basis of statisti...

Invariant polynomials for torus links are obtained in the framework of the Chern-Simons topological gauge theory. The polynomials are computed as vacuum expectation values on the three-sphere of Wilson line operators representing the Verlinde algebra of the corresponding rational conformal field theory. In the case of the SU(2) gauge theory our results provide explicit expressions for the Jones...

b a c k g r o u n d & aim: multi-state models can help better understand the process of chronic diseases such as cancers.  these models  are influenced  by assumptions  like individual  homogeneity.  this study aimed to investigate the effect of lack of individual homogeneity  assumption  in multi-state models. methods & materials: to investigate the effect of lack of individual homogeneity ass...