M-theory and the string genus expansion

Abstract

The partition function of the membrane is investigated. In particular, the case relevant to perturbative string theory of a membrane with topology S 1 × Σ is examined. The coupling between the string world sheet Euler character and the dilaton is shown to arise from a careful treatment of the membrane partition function measure. This demonstrates that the M-theory origin of the dilaton coupling to the string world sheet is quantum in nature.

A Predictive Model of Redemption and Liability in Loyalty Reward Programs Industry

“…One set of papers are focused on offering insights into issues such as understanding and designing LRPs [2,4], the effectiveness and profitability of LRPs [5,6], the management of the LRP firm's excess capacity [7], the impact of LRPs on repeat-purchase patterns [8], and the fairness of LRPs for customers [9]. However, none of these models support planning and operational decisions, such as those related to planning, managing, and controlling rewards supply and demand; optimizing LRP's revenue and cost; designing and evaluating various promotion strategies; and assessing long term growth of the program.…”

“…Relation (2) stipulates that the number of points accrued by members with tier status j and segment k during the qualifying period t is given by the product of number of points accrued by members with tier status j during the qualifying period t and the proportion of points accrued by members with tier status j and segment k.…”

“…Geographically, LRPs have been quite popular in the United States, United Kingdom, Canada, and a host of other countries. Some studies show that 90% of Americans and 92% of UK consumers are members of at least one LRP [2]. In the Canadian market settings, a special article featuring loyalty programs 1 reports that according to Visa Canada Association, more than 25 million VISA cards are in circulation in Canada and about 78% of 1 National post newspaper article on Loyalty programs published on October 7, 2005. all card holders belong to one or more LRPs.…”

“…In the Canadian market settings, a special article featuring loyalty programs 1 reports that according to Visa Canada Association, more than 25 million VISA cards are in circulation in Canada and about 78% of 1 National post newspaper article on Loyalty programs published on October 7, 2005. all card holders belong to one or more LRPs. A study from ACNielsen reports that 95% of Canadians belonged to LRPs of department stores, mass retailers, general merchandisers, or warehouse clubs in 2005 [2].…”

M-theory branes and their interactions

“…Its presence is a simple indicator that the membrane unlike the string is not conformal. Dimensional reduction of the above membrane action gives the string action [26] without dilaton coupling (to obtain the dilaton coupling one has to consider the membrane partition function [27]). Essentially one may view the action for the single membrane as a Goldstone mode action for the membrane solution that breaks eight of the eleven translation symmetries of the supergravity action.…”