In 2001, the algebraico-tree-theoretic simplicity hierarchical structure of J. H. Conway’s ordered field surreal numbers was brought to fore by first author and employed provide necessary sufficient conditions for an (ordered -vector space) be isomorphic initial subfield ( -subspace) , i.e. a that is subtree . this sequel, analogous results are established exponential fields, making use slight ...

We characterise the existentially closed models of theory exponential fields. They do not form an elementary class, but can be studied using positive logic. find amalgamation bases and types over them. define a notion independence show that independent systems higher dimension also amalgamated. extend some notions from classification to logic position category fields in stability hierarchy as N...

This article continues and completes our previous work [14] J. Phys. Commun. 2 (2018) 025007. First of all, we present two methods quantization associated with a linear connection given on differentiable manifold, one them being the presented in [14]. The allow quantize functions that come from covariant tensor fields. equivalence both is demonstrated as consequence remarkable property Riemanni...

An exact solution is obtained for an axisymmetric steady-state‎ ‎thermo-mechanical stresses in a thick functionally graded‎ ‎cylinder‎. ‎The material properties are graded along the radial‎ ‎direction according to an exponential function of radial‎ ‎direction with three constants‎. ‎The advantage of the proposed‎ ‎model‎, ‎compared to the models with two constants such as the‎ ‎linear‎, ‎power ...