This expository paper gives an account of the Pila-Wilkie counting theorem and some its extensions generalizations. We use semialgebraic cell decomposition to simplify part original proof. also include complete treatments a result due Pila Bombieri o-minimal Yomdin-Gromov that are used in this For latter we follow Binyamini Novikov.

bronchial asthma is the common chronic inflammatory disease and is characterized by chronic airway inflammation, airway remodeling, and airway hyperreactivity (ahr). aim of this study was to investigate the effects of mitochondrial atp-sensitive potassium channels (mitokatp) on the proliferation and secretion of human airway smooth muscle cells (hasmcs). hasmcs were treated with the serum from ...

results the ovarian hormones level showed a significant difference between the experimental and control groups (p < 0.05). furthermore, the unk cell population showed a significant difference between the two groups (p < 0.05). conclusions increased ovarian hormones due to low-dose aspirin administration resulted in decline in the unk cells number, which may be effective in successful pregnancy....

background and aims. mast cells play an important role in allergic reactions, host defense, local homeostasis, inflammation and angiogenesis. the aim of this study was to evaluate the relationship between mast cell counts and different types of periodontitis. materials and methods. gingival specimens were taken from 20 moderate-to-advanced chronic and 19 moderate-to-advanced aggressive periodon...

The great majority of individuals with human immunodeficiency virus type 1 (HIV-1) infection presents with no signs or symptoms, or only lymphadenopathy. To initiate prophylactic measures in time it is necessary to establish risk criteria. CD4+ cell counts are significant predictors. Supplementary methods to improve the predictive information of CD4+ cell counts are still required. In addition,...

One of the most important factors in drug addiction is stress. It has been shown that animals with prenatal stress history are more risky for drug dependence. It have also been shown that frontal cortex play a role in drug dependence. In the present study the effects of two kinds of mild stress during pregnancy on the development of frontal cortex in Wistar rats (250-300 g) were investigated. F...

Propositional model counting is a fundamental problem in artificial intelligence with a wide variety of applications, such as probabilistic inference, decision making under uncertainty, and probabilistic databases. Consequently, the problem is of theoretical as well as practical interest. When the constraints are expressed as DNF formulas, Monte Carlo-based techniques have been shown to provide...