Binary array PAIRs with optimal/ideal correlation values and their algebraic counterparts \difference set PAIRs" (DSPs) in abelian groups are studied. In addition to generalizing known 1-dimensional (SEQUENCEs) examples, we provide four new recursive constructions, unifying previously obtained ones. Any further advancements in the construction of binary SEQUENCEs/arrays with opti-mal/ideal correlation values (equivalently cyclic/abelian difference sets) would give rise to richer classes of DSPs (and hence binary PERFECT array PAIRs). Discrete signals arising from DSPs nd applications incryptography, CDMA systems, radar and wireless communications.

Let (R, m) be a Noetherian local ring. Two notions of filter regular SEQUENCE and generalized local cohomology module with respect to a PAIR of ideals are introduced, and their properties are studied. Some vanishing and non-vanishing theorems are given for this generalized version of generalized local cohomology module.

In this article, we consider PAIR frames in Banach spaces and introduce Banach PAIR frames. Some various concepts in the frame theory such as frames, Schauder frames, Banach frames and atomic decompositions are considered as special kinds of (Banach) PAIR frames. Some frame-like inequalities for (Banach) PAIR frames are presented. The elements that participant in the construction of (Banach) PAIR frames are characterized. It is shown that a Banach space X has a Banach PAIR frame with respect to a Banach scalar SEQUENCE space `, when it is precisely isomorphic to a complemented subspace of `. It is shown that if we are allowed to choose the scalar SEQUENCE space, PAIR frames and Banach PAIR frames with respect to the chosen scalar SEQUENCE space denote the same concept.

Introduction: Pierre Robin SEQUENCE (PRS), previously termed Pierre Robin syndrome, consists of three congenital abnormalities: micrognathia (small mandible), glossoptosis, and cleft palate. In Pierre Robin SEQUENCE, the events occur in SEQUENCE, with one defect leading to the next. PRS occurs with an incidence of 1 in 8500 to 25000. Affected newborns have varying degrees of airway obstruction, often in association with gastroesophageal reflux and feeding difficulties. Intervention is mostly aimed at restoring a patent airway.Case Reports: Airway management in the infant with Pierre Robin SEQUENCE can be very challenging because of difficulty with mask ventilation and intubation. Our patient was a 4-year old boy with Robin SEQUENCE scheduled for dental rePAIR under general anesthesia. He had a history of palate rePAIR 3 years ago. After inhalation induction with sevofluran, nitrous-oxide in oxygen‚ under spontaneous ventilation, initial laryngeal view with the conventional Macintosh laryngoscope revealed Cormack-Lehane grade IIӀ due to restricted mouth opening and micrognathia. Nasal intubation for two times under the spontaneous respiration were unsuccessful. We fiberoptically intubated the patient with uncuffed tracheal tube (ID 5 mm) while allowing him to breathe spontaneously. Extubation was done with the patient fully awake and with emergency airway equipment immediately available. Postoperatively, he was transferred to intensive care unit where he could be observed closely for delayed complications of airway obstruction.Conclusion: Managing the airway of patients with craniofacial abnormalities can potentially be difficult. Therefore we recommend even simple treatment procedures to be carried out by experienced anesthesiologists, with a variety of different airway devices available such as flexible fiberoptic‚ Storz video laryngoscope and Airtraq optical laryngoscope.

Let G= (V, E) be a graph. A subset S of V is a dominating set of G if every vertex in V \ S is adjacent to a vertex in S. A dominating set S is called a secure dominating set if for each v  Î V \ S there exists u 2 S such that v is adjacent to u and S1= (S \ {u})  È {v} is a dominating set. If further the vertex u Î S is unique, then S is called a PERFECT secure dominating set.The minimum cardinality of a PERFECT secure dominating set of G is called the PERFECT secure domination number of G and is denoted by gps (G). In this paper we initiate a study of this parameter and present several basic results.

Maintaining one's national identity is a necessary factor for the attainment of human identity, a factor which is essential to boost self-confidence against foreigners. But man's identity becomes more.refined if there is no inclination toward dominating others and there is an intention to move beyond national identity. Ferdowsi, the great poet of Iranian epic, provides the ground for the interaction of thoughts within a cultural identity by advocating liberal thinking, intelligent flexibility, and belief in religion. With the advent of Islam, the idea of universal identity was formed and later strengthened within literature domain as the result of the influences of mystic thoughts. Mowlavi, the peak of mystic literature, revives human identity, and the development of Persian literature from Ferdowsi's nationalism to Mowlavi's humanism is the early step toward a universal identity.