In this paper, we revisit the claim that the Eulerian and quasi-Lagrangian same time correlation tensors are equal. This statement allows us to transform the results of an MSR quasi-Lagrangian statistical theory of hydrodynamic turbulence back to the Eulerian representation. We define a hierarchy of homogeneity symmetries between the local homogeneity of Frisch and global homogeneity. It is sho...

In this paper, we revisit the claim that the Eulerian and quasi-Lagrangian same time correlation tensors are equal. This statement allows us to transform the results of an MSR quasi-Lagrangian statistical theory of hydrodynamic turbulence back to the Eulerian representation. We define a hierarchy of homogeneity symmetries between the local homogeneity of Frisch and global homogeneity. It is sho...

The goal is to derive properties on embedding models from the realization of Galois types. We want to show that if M realizes ‘enough’ types over M then any small extension N of M can be embedded into M. The idea is first published as ‘saturation = model-homogeneity’ in 3.10 of [6] (Theorem 8 below), where the proof is incomplete. Successive expositions in [5, 2], and by Baldwin led to this ver...

Preliminary, please do not quote without permission. Comments welcome.

BACKGROUND Fibrolamellar carcinoma (FLC) is a variant of hepatocellular carcinoma (HCC) with distinctive clinical and histological features. To date there have been few studies on the genotypic aspects of FLC and no previous attempts have been made to use the arbitrarily primed-polymerase chain reaction (AP-PCR) technique to detect genetic alterations in this disease. AIM The aim of this stud...