Consider a given pattern H and a random text T of length n. We assume that symbols in the text occur independently, and various symbols have different probabilities of occurrence (l.e., the so called asymmetric Bernoulli modeQ. We are concerned with the probability of exactly T occurrences of H in the text T. We derive the generating function of this probability, and show that asymptotically it...

Twenty five fungal strains were isolated from soil of Similipal Bioreserve Forest and screened for pectinase and cellulase activity. Aspergillus sp. was found to be predominant in the sample. Out of which, Aspergillus niger and A. flavus showed high cellulolytic and pectinolytic activity having potency index of 4.5 for IFcel and 4.1 for IFpect, respectively. Parameters like pH and temperature w...

A polynomial Pythagorean–hodograph (PH) curve r(t) = (x1(t), . . . , xn(t)) in R n is characterized by the property that its derivative components satisfy the Pythagorean condition x′2 1 (t)+ · · ·+x ′2 n (t) = σ 2(t) for some polynomial σ(t), ensuring that the arc length s(t) = ∫ σ(t) dt is simply a polynomial in the curve parameter t. PH curves have thus far been extensively studied in R2 and...

We present a new approach for computing planar hexagonal meshes that approximate given surface, represented as triangle mesh. Our method is based on two novel technical contributions. First, we introduce Coordinate Power Fields , which are pair of tangent vector fields the surface fulfill certain continuity constraint. prove fulfillment this constraint guarantees existence seamless parameteriza...