\L ojasiewicz-type inequalities and global error bounds for nonsmooth definable functions in o-minimal structures

In this paper, we give some {\L}ojasiewicz-type inequalities and a nonsmooth slope inequality on non-compact domains for continuous definable functions in an o-minimal structure. We also give a necessary and sufficicent condition for which global error bound exists. Moreover, we point out the relationship between the Palais-Smale condition and this global error bound.Comment: 14 page

UA12/2/14 The Fraternity Movement at Western

Report regarding history of fraternities at WKU by the Phi Phi Kappa fraternity. Phi Phi Kappa were originally the Thirteeners and became Delta Tau Delta when the Greek system was instituted at WKU

Phi Kappa Phi, 10 May 1963

Professional correspondenc

Dense Piecewise Planar RGB-D SLAM for Indoor Environments

The paper exploits weak Manhattan constraints to parse the structure of indoor environments from RGB-D video sequences in an online setting. We extend the previous approach for single view parsing of indoor scenes to video sequences and formulate the problem of recovering the floor plan of the environment as an optimal labeling problem solved using dynamic programming. The temporal continuity is enforced in a recursive setting, where labeling from previous frames is used as a prior term in the objective function. In addition to recovery of piecewise planar weak Manhattan structure of the extended environment, the orthogonality constraints are also exploited by visual odometry and pose graph optimization. This yields reliable estimates in the presence of large motions and absence of distinctive features to track. We evaluate our method on several challenging indoors sequences demonstrating accurate SLAM and dense mapping of low texture environments. On existing TUM benchmark we achieve competitive results with the alternative approaches which fail in our environments.Comment: International Conference on Intelligent Robots and Systems (IROS) 201

Phi Kappa Phi Fact Sheet

Fact sheet of membership benefits for the Phi Kappa Phi Honor Society

Bylaws of the Phi Kappa Hi in the University of Maine

Bylaws of Phi Kappa Phi. Established at the University of Maine in 1897, The Honor Society of Phi Kappa Phi is a nationally recognized, nonprofit organization dedicated to the recognition and promotion of academic excellence and integrity in all fields of higher education. As the founding institution, the University of Maine hosts Chapter 1 – an exclusive honor. Phi Kappa Phi chapters are now found on more than 300 university and college campuses throughout the United States, Puerto Rico, and the Philippines. With more than one million members worldwide and hundreds of chapters located on university and college campuses, Phi Kappa Phi is one of the oldest, most widely recognized, and most respected academic honor societies