The present paper proves that P = NP. The proof, presented in this paper, is a constructive one: The program of a polynomial time deterministic multi-tape Turing machine M ∃AcceptingP ath, which determines if there exists an accepting computation path of a polynomial time non-deterministic single-tape Turing machine M

A mild catalyst system for the synthesis of chiral amino alcohols via asymmetric transfer hydrogenation (ATH) of α-phthalimide ketones has been developed by using a chiral Ru-TsDPEN complex as the catalyst in DMF/MeOH at 40 °C. The reaction exhibits high reaction activity and excellent enantioselectivity where up to 96% yield and 99% ee of the product were obtained.

|We propose a linear complexity method to estimate robust path delay fault coverage in digital circuits. We adopt a path counting scheme for a true-value simulator that uses ags for each signal line. These ags determine the new path delay faults detected by the simulated vector pair. Experimental results are presented to show the e ectiveness of the method in estimating path delay fault coverage.

INTRODUCTION Adenotonsillar hypertrophy (ATH) may present with growth retardation. Insulin-like growth factor 1 (IGF-1) mediates the anabolic effects of growth hormone (GH) on tissues. Most of the circulating IGF-1 molecules are bound to insulin-like growth factor-binding protein 3 (IGFBP-3). IGF-1 and IGFBP-3 serum levels reflect the levels of daily mean serum GH and are used as indices for ev...

OBJECTIVE Adenotonsillar hypertrophy (ATH) is associated with growth interruption during childhood. The aim of this study was to determine the changes in growth, body composition and biochemical markers associated with growth following adenotonsillectomy (A&T) in prepubertal children. STUDY DESIGN Twenty-eight children aged 3-10 years (mean age 73.90 +/- 20.97 months) with ATH were followed u...

BACKGROUND The available data on the incidence of lactose malabsorption are contradictory. Potential bias in random selection is a major drawback of studies performed to-date. Moreover, molecular analysis of polymorphism -13910 C>T upstream of the lactase (LCT) gene (NM_005915.4:c.1917+326C>T; rs4988235) has not been reported in those studies. Therefore, in this study we aimed to assess genetic...

BACKGROUND Adenotonsillar hypertrophy (ATH) is a frequent cause of upper airways obstructive syndromes associated to middle ear and paranasal sinuses disorders, swallowing and voice disorders, sleep quality disorders, and occasionally facial dysmorphisms. ATH treatment is essentially based on a number of medical-surgical aids including nasal irrigation with topical antibiotics and corticosteroi...