in this paper, we introduce the concept of rarely generalized regular fuzzy continuous functions in the sense of a.p. sostak's and ramadan is introduced. some interesting properties and characterizations of them are investigated. also, some applications to fuzzy compact spaces are established.

Erdős posed the following problem. Consider an equicolored point set of 2n points, n points red and n points blue, in the plane in convex position. We estimate the minimal number of points on the longest noncrossing path such that edges join points of different color and are straight line segments. The upper bound 4 3 n + O( √ n) is proved [7], [5] and is conjectured to be tight. The best known...

The Gibbs random field (GRF) has proved to be a simple and practical way of parameterizing the Markov random field, which has been widely used to model an image or image-related process in many image processing applications. In particular, the GRF can be employed to construct an efficient Bayesian estimation that often yields optimal results. We describe how the GRF can be efficiently incorpora...

Push-ups are a common and practical exercise that is used to enhance fitness, including upper body strength or endurance. The kinetic characteristics of push-ups and its variations are yet to be quantified. Kinetic quantification is necessary to accurately evaluate the training load, and thus the nature of the training stimulus, for these exercise variations. This study assessed the peak vertic...

Quantifying muscle and joint forces over a broad range of weight bearing loads during exercise may provide data required to improve prosthetic materials and better protect against muscle and bone loss. Collectively, leg intramuscular pressure (IMP), ground reaction force (GRF), and the instrumented tibial tray force measurements provide a comprehensive assessment of leg muscle and joint biomech...

Data summarization is an effective approach to dealing with the “big data” problem. Whiledata summarization problems traditionally have been studied is the streaming model, the focus isstarting to shift to distributed models, as distributed/parallel computation seems to be the only viableway to handle today’s massive data sets. In this paper, we study ε-approximations, a classic...

peptide that specifically stimulates both synthesis and secretion of pituitary GH [1]. GRF is released into the hypophyseal-portal vessels under control by a variety of neurotransmitters and neuropeptides. After reaching the pituitary, GRF binds to its specific receptors [1] on somatotrophs and generates bursts of GH secretion episodically [2]. Earlier ligand-binding and functional studies in r...

Background. Although the trot is described as a diagonal gait, contacts of the diagonal pairs of hooves are not usually perfectly synchronized. Although subtle, the timing dissociation between contacts of each diagonal pair could have consequences on gait dynamics and provide insight into the functional strategies employed. This study explores the mechanical effects of different diagonal dissoc...