abstract background: vitamin d supplementation has been shown to decrease insulin resistance through which it might cause fatty liver. fatty liver increasingly results in type 2 diabetes mellitus (t2dm). insulin resistance and fatty liver are particularly closely related. the aim of present study is to examine the effect of vitamin d supplementation on blood sugar and different indices of insul...

a recursive-circulant $g(n; d)$ is defined to be acirculant graph with $n$ vertices and jumps of powers of $d$.$g(n; d)$ is vertex-transitive, and has some strong hamiltonianproperties. $g(n; d)$ has a recursive structure when $n = cd^m$,$1 leq c < d $ [10]. in this paper, we will find the automorphismgroup of some classes of recursive-circulant graphs. in particular, wewill find that the autom...

We consider VC-minimal theories admitting unpackable generating families, and show that in such theories, forking of formulae over a model M is equivalent to containment in global types definable over M , generalizing a result of Dolich on o-minimal theories in [4].

The Zaruma-Portovelo mining district in Ecuador, and particular, Portovelo City, is home to the oldest museum country. This museum, named Museo Mineralógico Magner Turner (MMMT Spanish), a centre that reflects, through its collections, history culture of this territory. work aimed evaluate MMMT as possible geosite by analysing contributions geomining heritage district, thus, enhance it promote ...

Let T be an almost strongly minimal theory. Work inside a monster model M of T . Let M be a model (a small elementary substructure of M). If G is an M -definable group, and H is an M -definable subgroup, we can consider the homogeneous space G/H with the left-action by G. We will define “etale cohomology groups” H M(G/H,A) for all n ≥ 0 and all abelian groups A. We would like the following thin...

In abstract elementary classes limit models are sometimes the appropriate substitute for saturated models. For Galois-stable abstract elementary classes which satisfy the amalgamation property, we prove under the assumption that there is a mildly behaved dependence relation, that for any model M , any two limit models over M of the same cardinality are isomorphic. This is useful in dealing with...

Given a Heath–Jarrow–Morton (HJM) interest rate model M and a parametrized family of finite dimensional forward rate curves G, this paper provides a technique for projecting the infinite dimensional forward rate curve rt given by M onto the finite dimensional manifold G. The Stratonovich dynamics of the projected finite dimensional forward curve are derived and it is shown that, under the regul...

As an application of the method used to obtain the result above, we will obtain the consistency of b = ω1 < s = κ where b is the bounding number, s is the splitting number and κ is an arbitrary regular cardinal. Suppose ν ≥ δ. Begin with a model of GCH and adjoin δ-many Cohen reals 〈rα : α ∈ δ〉 followed by ν-many Random reals 〈sξ : ξ ∈ ν〉. That is, if Vδ is the model obtained after the first δ ...