Let m be a fixed positive integer. For any positive integer n, we define the arithmetical function am(n) as the integer part of the m-th root of n. That is, am(n) = [n 1 m ], where [x] denotes the greatest integer not exceeding to x. For example, a2(1) = 1, a2(2) = 1, a2(3) = 1, a2(4) = 2, a2(5) = 2, a2(6) = 2, a2(7) = 2, a2(8) = 2, a2(9) = 3, a2(10) = 3, · · · . In [1], Professor F. Smarandach...

This note investigates πT,c1,c2(a1,a2)=P(supt∈[0,T](σ1B(t)−c1t)>a1,supt∈[0,T](σ2B(t)−c2t)>a2), where {B(t):t≥0} is a standard Brownian motion, with T>0,σ1,σ2>0,c1,c2∈R. We derive explicit formula for the probability πT,c1,c2(a1,a2) and find its asymptotic behavior both in so called many-source high-threshold regimes.

In Indian Agriculture, Generally tractors or cultivator machines are commonly used for ploughing. Before this method farmers uses the traditional is time consuming and hardworking costly. Despite massive mechanization of agriculture in some regions nation, majority agricultural activities country's bigger areas carried out by hand utilizing rudimentary equipment implements such as a wooden plou...

Phospholipase A2 values increase in serum in various inflammatory states, infections, and postoperatively in surgical patients. Several organs, including the liver and spleen have been suggested as sources of circulating phospholipase A2. The purpose of the present work was to examine the possible role of the spleen as a source of elevated serum concentrations of phospholipase A2 after surgery....