Generalized Bernoulli numbers and a formula of Lucas

An overlooked formula of E. Lucas for the generalized Bernoulli numbers is proved using generating functions. This is then used to provide a new proof and a new form of a sum involving classical Bernoulli numbers studied by K. Dilcher. The value of this sum is then given in terms of the Meixner-Pollaczek polynomials

A probabilistic interpretation of a sequence related to Narayana polynomials

A sequence of coefficients appearing in a recurrence for the Narayana polynomials is generalized. The coefficients are given a probabilistic interpretation in terms of beta distributed random variables. The recurrence established by M. Lasalle is then obtained from a classical convolution identity. Some arithmetical properties of the generalized coefficients are also established

A Generative Model of People in Clothing

We present the first image-based generative model of people in clothing for the full body. We sidestep the commonly used complex graphics rendering pipeline and the need for high-quality 3D scans of dressed people. Instead, we learn generative models from a large image database. The main challenge is to cope with the high variance in human pose, shape and appearance. For this reason, pure image-based approaches have not been considered so far. We show that this challenge can be overcome by splitting the generating process in two parts. First, we learn to generate a semantic segmentation of the body and clothing. Second, we learn a conditional model on the resulting segments that creates realistic images. The full model is differentiable and can be conditioned on pose, shape or color. The result are samples of people in different clothing items and styles. The proposed model can generate entirely new people with realistic clothing. In several experiments we present encouraging results that suggest an entirely data-driven approach to people generation is possible

Protecting Your Assets: A Well-Defined Credit Policy Is The Key

In - Protecting Your Assets: A Well-Defined Credit Policy Is The Key – an essay by Steven V. Moll, Associate Professor, The School of Hospitality Management at Florida International University, Professor Moll observes at the outset: “Bad debts as a percentage of credit sales have climbed to record levels in the industry. The author offers suggestions on protecting assets and working with the law to better manage the business.” “Because of the nature of the hospitality industry and its traditional liberal credit policies, especially in hotels, bad debts as a percentage of credit sales have climbed to record levels,” our author says. “In 1977, hotels showing a net income maintained an average accounts receivable ratio to total sales of 3.4 percent. In 1983, the accounts receivable ratio to total sales increased to 4.1 percent in hotels showing a net income and 4.4 percent in hotels showing a net loss,” he further cites. As the professor implies, there are ways to mitigate the losses from bad credit or difficult to collect credit sales. In this article Professor Moll offers suggestions on how to do that. Moll would suggest that hotels and food & beverage operations initially tighten their credit extension policies, and on the following side, be more aggressive in their collection-of-debt pursuits. There is balance to consider here and bad credit in and of itself as a negative element is not the only reflection the profit/loss mirror would offer. “Credit managers must know what terms to offer in order to compete and afford the highest profit margin allowable,” Moll says. “They must know the risk involved with each guest account and be extremely alert to the rights and wrongs of good credit management,” he advocates. A sound profit policy can be the result of some marginal and additional credit risk on the part of the operation manager. “Reality has shown that high profits, not small credit losses, are the real indicator of good credit management,” the author reveals. “A low bad debt history may indicate that an establishment has an overly conservative credit management policy and is sacrificing potential sales and profits by turning away marginal accounts,” Moll would have you believe, and the science suggests there is no reason not to. Professor Moll does provide a fairly comprehensive list to illustrate when a manager would want to adopt a conservative credit policy. In the final analysis the design is to implement a policy which weighs an acceptable amount of credit risk against a potential profit ratio. In closing, Professor Moll does offer some collection strategies for loose credit accounts, with reference to computer and attorney participation, and brings cash and cash discounts into the discussion as well. Additionally, there is some very useful information about what debt collectors – can’t – do

Database System for Alumni Tracking

In their discussion - Database System for Alumni Tracking - by Steven Moll, Associate Professor and William O\u27Brien, Assistant Professor, School of Hospitality Management at Florida International University, Professors Moll and O’Brien initially state: “The authors describe a unique database program which was created to solve problems associated with tracking hospitality majors subsequent to graduation.” “…and please, whatever you do, keep in touch with your school; join an alum’ organization. It is a great way to engage the resources of your school to help further your career,” says Professor Claudia Castillo in addressing a group of students attending her Life after College seminar on 9/18/2009. This is a very good point and it is obviously germane to the article at hand. “One of the greatest strengths of a hospitality management school, a strength that grows with each passing year, is its body of alumni,” say the authors. “Whether in recruiting new students or placing graduates, whether in fund raising or finding scholarship recipients, whatever the task, the network of loyal alumni stands ready to help.” The caveat is the resources are only available if students and school, faculty and alumni can keep track of each other, say professors Moll and O’Brien. The authors want you to know that the practice is now considered essential to success, especially in the hospitality industry whereby the fluid nature of the industry makes networking de rigueur to accomplishment. “When the world was a smaller, slower place, it was fairly easy for graduates to keep track of each other; there weren\u27t that many graduates and they didn\u27t move that often,” say the authors. “Now the hospitality graduate enters an international job market and may move five times in the first four years of employment,” they expand that thought. In the contemporary atmosphere linking human resources from institution to marketplace is relatively easy to do. “How can an association keep track of its graduates? There are many techniques, but all of them depend upon adequate recordkeeping,” Moll and O’Brien answer their own query. “A few years ago that would have meant a group of secretaries; today it means a database system,” they say. Moll and O’Brien discuss the essentials of compiling/programming such a comprehensive data base; the body of information to include, guidelines on the problems encountered, and how to avoid the pitfalls. They use the Florida International University, Hospitality database as a template for their example

Labor Cost Analysis for the Food Service Industry

There are many factors which can assist in controlling the cost of labor in the food service industry. The author discusses a number of these, including scheduling, establishing production standards, forecasting workloads, analyzing employee turnover, combating absenteeism, and controlling overtime