We note here the constant (p/(1−r))p is best possible, as shown in [9] by setting an = n −1−(1−r)/p−ǫ and letting ǫ → 0+. This implies inequality (1.2) for 0 < p ≤ 1/3 with the best possible constant cp = (p/(1 − p)) p. On the other hand, it is also easy to see that inequality (1.2) fails to hold with cp = (p/(1 − p)) p for p ≥ 1/2. The point is that in these cases p/(1 − p) ≥ 1 so one can easi...

Spray polyurethane foam insulation is commonly used in the construction industry to fill gaps, seal, and insulate. We present three cases of intentional spray foam insertion in body orifices and discuss the management of such situations in the emergency department. This series includes a case of oral foam insertion used in a suicide attempt by suffocation and two cases of rectal insertion. All ...

Motivated by affine Schubert calculus, we construct a family of dual graded graphs (Γs,Γw) for an arbitrary Kac-Moody algebra g. The graded graphs have the Weyl group W of g as vertex set and are labeled versions of the strong and weak orders of W respectively. Using a construction of Lusztig for quivers with an admissible automorphism, we define folded insertion for a Kac-Moody algebra and obt...

Motivated by affine Schubert calculus, we construct a family of dual graded graphs (Γs,Γw) for an arbitrary Kac-Moody algebra g. The graded graphs have the Weyl group W of g as vertex set and are labeled versions of the strong and weak orders of W respectively. Using a construction of Lusztig for quivers with an admissible automorphism, we define folded insertion for a Kac-Moody algebra and obt...

Insertion devices play crucial roles in new generation light source. Magnetic performance is the most important consideration factor during the design and construction phase. However, control performance is also an important issue from operation point of view. Motion control performance, residual filed compensation scheme and control response time for continue change in gap or phase during ener...

A model is presented for defect insertion and detection in software development. The model, which is based on a high-level, generic concept of the software life cycle, allows for the estimation of final defect content based on estimates of several process factors: defect insertion rate, defect detection ratio, spreading ratio and traceability factor. It is suggested that the model has potential...

A model is presented for defect insertion and detection in software development. The model, which is based on a high-level, generic concept of the software life cycle, allows for the estimation of final defect content based on estimates of several process factors: defect insertion rate, defect detection ratio, spreading ratio and traceability factor. It is suggested that the model has potential...

Introduction: Transhiatal esophagectomy is a widely accepted approach for palliative resection of subcarinal esophageal cancers. This study was designed to evaluate the necessity of routine thoracostomy tube insertion in this technique.  Methods: This descriptive study was conducted on 123 consecutive patients with esophageal cancers undergoing transhiatal esophagectomy from March 2001 to Fe...

A parallel algorithm for regular triangulations is presented. For the purpose of fully dynamic and kinetic particle simulations it allows vertex insertion, deletion, movement, and weight changes. We describe new algorithms for incremental construction of regular triangulations, parallel vertex deletion and insertion. Finally, a parallel Lawson flip algorithm for vertex displacements is presente...

We present a general algorithm, pre-determinization, that makes an arbitrary weighted transducer over the tropical semiring or an arbitrary unambiguous weighted transducer over a cancellative commutative semiring determinizable by inserting in it transitions labeled with special symbols. After determinization, the special symbols can be removed or replaced with -transitions. The resulting trans...