In this paper we will constructively prove the existence of an equilibrium in a competitive economy with sequentially locally non-constant excess demand functions. And we will show that the existence of such an equilibrium in a competitive economy implies Sperner’s lemma. We follow the Bishop style constructive mathematics. Keywords—Sequentially locally non-constant excess demand functions, Equ...

We report on the synthesis of complexes hav ing two equiva lent redox active 2,5-dimethylazafe rrocenyl entities connected by heteroaryl (heteroaryl = thiophenyl, bithiophenyl and pyridyl) bridges. The new compounds have been investigated by various electrochemical techniques including cyclic voltammetry (CV), differential pulse voltammetry (DPV) and square wave voltammetry (SW) and were found ...

A re-evaluation of the ClO/Cl2O2 equilibrium constant based on stratospheric in-situ observations M. von Hobe, J.-U. Grooß, R. Müller, S. Hrechanyy, U. Winkler, and F. Stroh Institut für Chemie und Dynamik der Geosphäre I: Stratosphäre (ICG-I), Forschungszentrum Jülich, Jülich, Germany Received: 3 August 2004 – Accepted: 16 August 2004 – Published: 7 September 2004 Correspondence to: M. von Hob...

In a real-time electric power auction, the bids of producers consist of committed supply as a function of price. The bids are submitted under uncertainty, before the demand by the Independent System Operator has been realized. In the Supply Function Equilibrium (SFE), every producer chooses the supply function maximizing his expected profit given his residual demand. I consider a uniform-price ...

The j3 nerve growth factor (NGF) isolated from the high molecular weight 7 S NGF complex from mouse submaxillary gland is a protein of molecular weight 26,500 which contains two noncovalently associated peptide chains. A variety of techniques were employed to determine whether the NGF dimer dissociates at the low concentrations at which it is biologically active. No dissociation was detected in...

We reconsider the virial theorem in the presence of a positive cosmological constant Λ. Assuming steady state, we derive an inequality of the form ρ ≥ A(Λ/4πGN ) for the mean density ρ of the astrophysical object. The parameter A depends only on the shape of the object. With a minimum at Asphere = 2, its value can increase by several orders of magnitude as the shape of the object deviates from ...

le chatelier's principle is used as a very simple way to predict the effect of a change in conditions on a chemical equilibrium. . however, several studies have reported the violation of this principle, still there is no reported simple mathematical equation to express the exact condition of violation in the gas phase reactions. in this article, we derived a simple equation for the violati...

1. The equilibrium constant for oxidative decarboxylation of isocitrate by NADP(+), catalysed by isocitrate dehydrogenase, was measured in solutions of various ionic strengths and at several temperatures. 2. Thermodynamic values for the reaction were obtained by extrapolation to zero ionic strength, and the heat of reaction was estimated. 3. The effect of Mg(2+) ion concentration on the equilib...