The discrete Pascal transform and its applications

We introduce a new discrete polynomial transform constructed from the rows of Pascal’s triangle. The forward and inverse transforms are computed the same way in both the oneand two-dimensional cases, and the transform matrix can be factored into binary matrices for efficient hardware implementation. We conclude by discussing applications of the transform in

ARISTOTLE AND THE IMPORTANCE OF VIRTUE IN THE CONTEXT OF THE POLITICS AND THE NICOMACHEAN ETHICS AND ITS RELATION TO TODAY

While much of Aristotle's works are preserved in various volumes, two of his famous works are the Nichmachean Ethics and the Politics, both of which contain a rich compilation of ethical and political thought. In the Ethics, Aristotle describes a thorough understanding of ethical and intellectual virtue. By pursuing these virtues, Aristotle argues that a person can achieve a life of fulfilling happiness. The ideal polis as described in the Politics serves as a place where the virtuous life is attained in the best manner.Citizens who pursue virtue make the polis better, and the rulers that guide the polis ensure that the citizens have every opportunity to pursue the virtuous life. In this thesis, I see how relevant Aristotle's theory is by laying out the basic principles of the Ethics and the Politics and the connections between the two works. Indoing so, I found that Aristotle's ideal theory points out a significant flaw in our political system: the fact that we do not share a common moral conception such as the one concerned with the virtuous life as Aristotle proposes. This does not suggest thatAristotle's view was actualized during his time period, but that Aristotle conceives of an ideal life and an ideal polis that could be realized. Certainly there are issues with Aristotle's thesis concerning the inferiority of slaves and women. But what is morepoignant is the impracticality of instituting a shared common conception when today's political system permits various ideas about ethics and morality.

A Study of Alumni Engagement and Its Relationship to Giving Behaviors

This paper examines the relationship between alumni engagement and two categories of variables, alumni characteristics and alumni giving behavior. The Valley University engagement score was developed using the entire alumni population and information available from the institutional database. The study found that, with the exception ofgeneration, there was no difference in engagement scores based on alumni characteristics. The study also found that the engagement score has a positive correlation to a variety of giving behaviors, including donor status, recent donor status,annual giving behavior (RFM), and adjusted lifetime giving.