Packing problem

We develop an analogue for sphere packing of the linear programming bounds for error-correcting codes, and use it to prove upper bounds for the density of sphere packings, which are the best bounds known at least for dimensions 4 through 36. We conjecture that our approach can be used to solve the sphere packing problem in dimensions 8 and 24. Contents 1. Introduction 2. Lattices, Fourier transforms, and Poisson summation 3. Principal theorems 4. Homogeneous spaces 5. Conditions for a sharp bound 6. Stationary points 7. Numerical results 8. Uniqueness Appendix A. ...

27p tuanloccuoi 04-01-2013 29 4   Download

Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí toán học quốc tế đề tài: Packing Graphs: The packing problem solved....

7p thulanh3 10-09-2011 21 3   Download

Tuyển tập các báo cáo nghiên cứu khoa học trên tạp chí toán học quốc tế đề tài: The Edmonds-Gallai Decomposition for the k-Piece Packing Problem...

21p thulanh5 13-09-2011 20 2   Download

Sphere packings is one of the most fascinating and challenging subjects in mathematics. Almost four centuries ago, Kepler studied the densities of sphere packings and made his famous conjecture. Several decades later, Gregory and Newton discussed the kissing numbers of spheres and proposed the Gregory-Newton problem. Since then, these problems and related ones have attracted the attention of many prominent mathematicians such as Blichfeldt, Dirichlet, Gauss, Hermite, Korkin, Lagrange, Minkowski, Thue, Voronoi, Watson, and Zolotarev, as well as many active today....

256p maket1311 16-10-2012 22 1   Download

The Communication Problem Solver 1. Managers need top-flight communication skills to keep their staffs productive and collaborative. But often, those who manage lack the ability to get things back on track once miscommunication occurs. This book helps readers analyze their communication skills and challenges and explains how they can use simple problem-solving techniques to resolve the people issues that derail productivity at work. Easily accessible and filled with real world management examples.

10p pretty9 23-09-2010 107 39   Download

The Communication Problem Solver 30. Managers need top-flight communication skills to keep their staffs productive and collaborative. But often, those who manage lack the ability to get things back on track once miscommunication occurs. This book helps readers analyze their communication skills and challenges and explains how they can use simple problem-solving techniques to resolve the people issues that derail productivity at work. Easily accessible and filled with real world management examples.

14p pretty9 23-09-2010 79 23   Download

The Communication Problem Solver 2. Managers need top-flight communication skills to keep their staffs productive and collaborative. But often, those who manage lack the ability to get things back on track once miscommunication occurs. This book helps readers analyze their communication skills and challenges and explains how they can use simple problem-solving techniques to resolve the people issues that derail productivity at work. Easily accessible and filled with real world management examples.

10p pretty9 23-09-2010 88 23   Download

The Communication Problem Solver 3. Managers need top-flight communication skills to keep their staffs productive and collaborative. But often, those who manage lack the ability to get things back on track once miscommunication occurs. This book helps readers analyze their communication skills and challenges and explains how they can use simple problem-solving techniques to resolve the people issues that derail productivity at work. Easily accessible and filled with real world management examples.

10p pretty9 23-09-2010 76 20   Download

The Communication Problem Solver 4. Managers need top-flight communication skills to keep their staffs productive and collaborative. But often, those who manage lack the ability to get things back on track once miscommunication occurs. This book helps readers analyze their communication skills and challenges and explains how they can use simple problem-solving techniques to resolve the people issues that derail productivity at work. Easily accessible and filled with real world management examples.

10p pretty9 23-09-2010 81 19   Download

The Communication Problem Solver 7. Managers need top-flight communication skills to keep their staffs productive and collaborative. But often, those who manage lack the ability to get things back on track once miscommunication occurs. This book helps readers analyze their communication skills and challenges and explains how they can use simple problem-solving techniques to resolve the people issues that derail productivity at work. Easily accessible and filled with real world management examples.

10p pretty9 23-09-2010 79 19   Download

Consolidation of applications in cloud computing environments presents a significant opportunity for energy optimization. As a first step toward enabling energy efficient consolidation, we study the inter-relationships between energy consumption, resource utilization, and performance of consolidated workloads. The study reveals the energy performance trade-offs for consolidation and shows that optimal operating points exist. We model the consolidation problem as a modified bin packing problem and illustrate it with an example.

24p holy_ghost 05-04-2013 53 17   Download

The Communication Problem Solver 5. Managers need top-flight communication skills to keep their staffs productive and collaborative. But often, those who manage lack the ability to get things back on track once miscommunication occurs. This book helps readers analyze their communication skills and challenges and explains how they can use simple problem-solving techniques to resolve the people issues that derail productivity at work. Easily accessible and filled with real world management examples.

10p pretty9 23-09-2010 81 16   Download

The Communication Problem Solver 8. Managers need top-flight communication skills to keep their staffs productive and collaborative. But often, those who manage lack the ability to get things back on track once miscommunication occurs. This book helps readers analyze their communication skills and challenges and explains how they can use simple problem-solving techniques to resolve the people issues that derail productivity at work. Easily accessible and filled with real world management examples.

10p pretty9 23-09-2010 57 16   Download

The Communication Problem Solver 6. Managers need top-flight communication skills to keep their staffs productive and collaborative. But often, those who manage lack the ability to get things back on track once miscommunication occurs. This book helps readers analyze their communication skills and challenges and explains how they can use simple problem-solving techniques to resolve the people issues that derail productivity at work. Easily accessible and filled with real world management examples.

10p pretty9 23-09-2010 69 15   Download

The Communication Problem Solver 9. Managers need top-flight communication skills to keep their staffs productive and collaborative. But often, those who manage lack the ability to get things back on track once miscommunication occurs. This book helps readers analyze their communication skills and challenges and explains how they can use simple problem-solving techniques to resolve the people issues that derail productivity at work. Easily accessible and filled with real world management examples.

10p pretty9 23-09-2010 84 15   Download

The Communication Problem Solver 10. Managers need top-flight communication skills to keep their staffs productive and collaborative. But often, those who manage lack the ability to get things back on track once miscommunication occurs. This book helps readers analyze their communication skills and challenges and explains how they can use simple problem-solving techniques to resolve the people issues that derail productivity at work. Easily accessible and filled with real world management examples.

10p pretty9 23-09-2010 68 15   Download

The Communication Problem Solver 11. Managers need top-flight communication skills to keep their staffs productive and collaborative. But often, those who manage lack the ability to get things back on track once miscommunication occurs. This book helps readers analyze their communication skills and challenges and explains how they can use simple problem-solving techniques to resolve the people issues that derail productivity at work. Easily accessible and filled with real world management examples.

10p pretty9 23-09-2010 80 14   Download

The Communication Problem Solver 12. Managers need top-flight communication skills to keep their staffs productive and collaborative. But often, those who manage lack the ability to get things back on track once miscommunication occurs. This book helps readers analyze their communication skills and challenges and explains how they can use simple problem-solving techniques to resolve the people issues that derail productivity at work. Easily accessible and filled with real world management examples.

10p pretty9 23-09-2010 74 14   Download

The Communication Problem Solver 13. Managers need top-flight communication skills to keep their staffs productive and collaborative. But often, those who manage lack the ability to get things back on track once miscommunication occurs. This book helps readers analyze their communication skills and challenges and explains how they can use simple problem-solving techniques to resolve the people issues that derail productivity at work. Easily accessible and filled with real world management examples.

10p pretty9 23-09-2010 79 12   Download

The Communication Problem Solver 26. Managers need top-flight communication skills to keep their staffs productive and collaborative. But often, those who manage lack the ability to get things back on track once miscommunication occurs. This book helps readers analyze their communication skills and challenges and explains how they can use simple problem-solving techniques to resolve the people issues that derail productivity at work. Easily accessible and filled with real world management examples.

10p pretty9 23-09-2010 61 12   Download