1 Sanders MH, Kern N. Obstructive sleep apnea treated by independently adjusted inspiratory and expiratory positive airway pressures via nasal mask: physiologic and clinical implications. Chest 1990; 98:317-24 2 Steljes DG, Kryger MH, Kirk BS, Millar TW Sleep in postpohio syndrome. Chest 1990; 98:133-40 3 Bach JR, Alba AS, Mosher R, Delaubier A. Intermittent positive pressure ventilation via na...

1 Sanders MH, Kern N. Obstructive sleep apnea treated by independently adjusted inspiratory and expiratory positive airway pressures via nasal mask: physiologic and clinical implications. Chest 1990; 98:317-24 2 Steljes DG, Kryger MH, Kirk BS, Millar TW Sleep in postpohio syndrome. Chest 1990; 98:133-40 3 Bach JR, Alba AS, Mosher R, Delaubier A. Intermittent positive pressure ventilation via na...

In view of this representation, Crandall asked what integers are of the form of xy + yz + xz with x, y, z ≥ 1 and he made a conjecture that every odd integer greater than one can be written as xy + yz + xz. In this manuscript, we shall show that Crandall’s conjecture is indeed true. In fact, we are able to show Theorem 1.1. There are at most 19 integers which are not in the form of xy + yz + xz...

The purpose of this study was to identify and describe similarities and differences in the tone quality of two professional quality C trumpets, and to provide a source of detailed information concerning trumpet tone quality. Individual tones and two-note transitions were performed on Bach and Monette C trumpets by a professional trumpet player and digitally recorded. Digital information from se...