Logarithmic form

Managerial Economics - Homework 4: Estimating and forecasting demand provide students with knowledge about the equation can be rewritten in logarithmic form; the log specification can be transformed into the multiplicative form; sensitivity analysis seeks to determine the sales effect of changes in key explanatory variables;...

2p flynn_beret 03-04-2022 16 3   Download

Annals of Mathematics This is the first in a series of papers whereby we combine the classical approach to exponential Diophantine equations (linear forms in logarithms, Thue equations, etc.) with a modular approach based on some of the ideas of the proof of Fermat’s Last Theorem. In this paper we give new improved bounds for linear forms in three logarithms. We also apply a combination of classical techniques with the modular approach to show that the only perfect powers in the Fibonacci sequence are 0, 1, 8 and 144 and the only perfect powers in the Lucas sequence are 1...

51p noel_noel 17-01-2013 46 7   Download

We prove that the existence of an automorphism of finite order on a Q-variety X implies the existence of algebraic linear relations between the logarithm of certain periods of X and the logarithm of special values of the Γ-function. This implies that a slight variation of results by Anderson, Colmez and Gross on the periods of CM abelian varieties is valid for a larger class of CM motives. In particular, we prove a weak form of the period conjecture of Gross-Deligne [11, p. 205]1 .

29p tuanloccuoi 04-01-2013 61 9   Download

Dissociation Constants Of Organic Acids And Bases: This table lists the acid-base dissociation constants of over 600 organic compounds, including many amino acids. All data apply to dilute aqueous solutions and are presented in the form of pKa, which is the negative of the logarithm of the acid dissociation constant Ka.

17p anhngoc007 23-11-2010 363 46   Download