Physical Sciences and Mathematics Commons^™

The Role Of Steps And Game Elements In Gamified Fitness Tracker Apps: A Systematic Review, Aatish Neupane, Derek Hansen, Jerry Alan Fails, Anud Sharma

Computer Science Faculty Publications and Presentations

This article reviews 103 gamified fitness tracker apps (Android and iOS) that incorporate step count data into gameplay. Games are labeled with a set of 13 game elements as well as meta-data from the app stores (e.g., avg rating, number of reviews). Network clustering and visualizations are used to identify the relationship between game elements that occur in the same games. A taxonomy of how steps are used as rewards is provided, along with example games. An existing taxonomy of how games use currency is also mapped to step-based games. We show that many games use the triad of Social …

Combinatorics Of Open Covers Vi: Selectors For Sequences Of Dense Sets, Marion Scheepers

Mathematics Faculty Publications and Presentations

We consider the following two selection principles for topological spaces:

[Principle 1:] { For each sequence of dense subsets, there is a sequence of points from the space, the n-th point coming from the n-th dense set, such that this set of points is dense in the space;

[Principle 2:]{ For each sequence of dense subsets, there is a sequence of finite sets, the n-th a subset of the n-th dense set, such that the union of these finite sets is dense in the space.

We show that for separable metric space X one of these principles holds for the …