where Rk,r is the number of permutations of the integers {1, . . . , k} that contain an increasing subsequence of length at least r. Let Xy denote a positive integer valued random variable such that Prob (Xy ≥ r) = F (r; y). If R k,r denotes the complement of Rk,r, i.e. the number of permutations σ ∈ Sk all of whose increasing subsequences have length strictly less than r, then clearly R k,r = ...

antimony is a toxic heavy metal for plants, animals and human being. considering its effects on plants growth, different concentrations on watermelon growth and development were studied. the experiment was established on a factorial experiment based on a completely randomized design with 3 replications. the seedlings were grown hydroponically in nutrient solution containing sb-edta (0, 0.25, 0....

In this research, an industrial spray dryer was used and the effects of atomizer speed on the physicochemical properties of milk powder, the textural and sensory characteristics of white cheese made from this milk powder were evaluated. For this purpose, whole milk was converted into powder by using three different speeds (10,000, 11,000, and 12,000 rpm). The results showed that by increasing a...

in order to investigate the effect of temperature and time of blanching process on the generation and extraction of reducing sugars and kinetics of color changes during blanching, the potato strips packaged in the polyethylene (hdpe with 10 micron thickness) film or without polyethylene packaging, were immersed in distilled water at temperature range of 50, 60, 70, 80 and 90 ºc for 120 minutes....

PURPOSE The objective of this study was to determine whether the progressive increase of metabolic syndrome (MetS) score, the number of components of MetS, is correlated significantly with increasing pulse pressure (PP). MATERIALS AND METHODS 4,034 subjects were enrolled from the Cardiovascular Genome Center of Yonsei University (M:F=2344:1690, 55.2 +/- 10.5). Most of the study population wer...

OBJECTIVE To examine predictors of enucleation and morcellation times within a large cohort of men undergoing holmium laser enucleation of the prostate (HoLEP) for benign prostatic hypertrophy. MATERIALS AND METHODS Preoperative, perioperative, and postoperative clinical characteristics were available from men treated with HoLEP between 1998 and 2013 at Indiana University Health Methodist Hos...

high purity fluorapatite (fa) with rod-like and spherical-like morphology was synthesized via sol-gel method. chemical characterization of fa powders was done by xrd and ftir analyses. crystallite samples were calculated using scherer method. morphology of fa powders was investigated with tem and sem images. the results revealed that increasing the time of hydrolysis of phosphate sols significa...