A Fitting Theorem for Simple Theories

Central and Local Limit Theories in Markov Dependent Random Variables

On Tychonoff's type theorem via grills

‎Let ${X_{alpha}:alphainLambda}$ be a collection of topological spaces‎, ‎and $mathcal {G}_{alpha}$ be a grill on $X_{alpha}$ for each $alphainLambda$‎. ‎We consider Tychonoffrq{}s type Theorem for $X=prod_{alphainLambda}X_{alpha}$ via the above grills and a natural grill on $X$ ‎related to these grills, and present a simple proof to this theorem‎. ‎This immediately yields the classical theorem...

Consistent Amalgamation for Þ-forking Alf Onshuus and Clifton Ealy

This result follows straight from the geometric properties of þ-forking and it is nowhere near the independence theorem (which we will call “independent amalgamation”) one has in simple theories. In [?], Kim proved that the only independence relation satisfying symmetry, local character, transitivity and the independence theorem was forking in a simple theory; since there are well known example...

Simple Equations for Predicting Entropy of Ammonia-Water Mixture

This work presents a set of three simple and explicit equations as a function of temperature, pressure, and mass fraction for calculation of the entropy of the ammonia-water mixture in saturated and super heated conditions. They are intended for use in the optimization and second law efficiency of absorption processes. The equations are constructed by the least square method for curve fitting u...

Shortcut Node Classification for Membrane Residue Curve Maps

comNode classification within Membrane Residue Curves (M-RCMs) currently hinges on Lyapunov’s Theorem and therefore the computation of mathematically complex eigenvalues. This paper presents an alternative criterion for the classification of nodes within M-RCMs based on the total membrane flux at node compositions. This paper demonstrates that for a system exhibiting simple permeation behaviour...