SECOND PAPER

Notes on Perelman’s Second Paper

Introduction 1 1. Section II-1.2 3 2. Section II-1.3 4 3. II-1.4 5 4. II-1.5. Definition of canonical neighborhoods 5 5. Section II-2 8 6. Section II-3 13 7. Section II-4.1 15 8. Section II-4.2 16 9. II-4.3; Lemma II-4.3 17 10. II-4.4: the surgery 18 11. Definition of surgery 19 12. Lemma II-4.5 20 13. Corollary II-4.6 21 14. Corollary II-4.7 22 15. Section II-5.1 22 16. Lemma II-5.2: κ-noncoll...

Simulation of Sensor-based Tracking in Second Life (Demo Paper)

This paper describes “Second Life” as a novel type of testbed and simulation environment for sensor-based applications. Second Life is a popular virtual online world that provides a free networked multi-user three-dimensional (3D) environment. The overall goal of our work is to support the development, testing, and deployment of sensor-based applications. In particular, pervasive systems like s...

Research Paper: Effect of asymptomatic erupted third molars on periodontal status and caries of adjacent second molars in Iranian population

  Abstract Introduction: Third molars  are the last teeth to grow and require more attention in the oral cavity because they can leave pathological effects. Considering the controversy clinical decisions about asymptomatic third molars, dentists’ lack of attention to over third molars developed during therapeutic recom-mendations for patients, and limited evidence about the effects of asympt...

A Note on the Paper “ Multipoint BVPs for Second - Order Differential Equations with Impulses ”

Correction to the paper “On the second main theorem of Cartan”

To prove Theorem 2, we use the following two facts about the class F: 1. F is a differential ring [2]. This means that F is closed under addition, multiplication and differentiation. 2. All functions y ∈ F are entire functions of completely regular growth in the sense of Levin–Pflüger [4], with piecewise-trigonometric indicators, the notions which we recall now. Let f be a holomorphic function ...