Normal Doo-Sabin subdivision surfaces are based on uniform quadratic B-splines. This makes it somewhat more difficult to produce an object with sharp creases or corners using normal Doo-Sabin subdivision. Non-Uniform Subdivision Surfaces on the other hand, allow for the possibility of creating an object that will keep specific points sharp based on the knot intervals that a particular edge is a...

An experiment (complete randomised design) was conducted to investigate the linear and quadratic effects of barley b-glucan inclusion level on total tract nutrient apparent digestibility, nitrogen excretion, intestinal microflora, volatile fatty acid (VFA) profile and manure ammonia emissions in pigs. Twenty-four boars (66 kg) were assigned to one of four treatments: (T1) 0 g/kg barley (control...

and Applied Analysis 3 for x, y, z ∈ A. A Banach non-Archimedean ternary algebra is a normed non-Archimedean ternary algebra such that the normed non-Archimedean vector space with norm ‖ · ‖ is complete. The ternary algebras have been studied in nineteenth century. Their structures appeared more or less naturally in various domains of mathematical physics and data processing. The discovery of t...

Curves on surfaces play an important role in computer aided geometric design. In this paper, we present a hyperbola approximation method based on the quadratic reparameterization of Bézier surfaces, which generates reasonable low degree curves lying completely on the surfaces by using iso-parameter curves of the reparameterized surfaces. The Hausdorff distance between the projected curve and th...

In this article, a new quadratic trigonometric B-spline with control parameters is constructed to address the problems related to two dimensional digital image interpolation. The newly constructed spline is then used to design an image interpolation scheme together with one of the soft computing techniques named as Genetic Algorithm (GA). The idea of GA has been formed to optimize the control p...

A Latin square of order n $n$ is an × $n\times n$ matrix symbols, such that each symbol occurs exactly once in row and column. For odd prime power q $q$ let F ${{\mathbb{F}}}_{q}$ denote the finite field . quadratic a L [ , b ] ${\rm{ {\mathcal L} }}[a,b]$ defined by ( ) i j = + − if residue otherwise ${({\mathscr{L}}[a,b])}_{i,j}=\left\{\begin{array}{cc}i+a(j-i) & \,\text{if}\,\,j-i\,\,\text{i...

It is a well-known problem to give an estimate for the largest clique of the Paley-graph, i.e. , to give an estimate for |A| if A ⊂ Fp (p ≡ 1 (mod 4)) is such that A−A = {a−a′ |a, a′ ∈ A} avoids the set of quadratic nonresidues. In this paper we will study a much simpler problem namely when A− A is substituted by the set FS(A) = { ∑ εaa | εa = 0 or 1 and ∑ εa > 0}. In other words we will estima...

We present a surface generation method which produces B-spline-like surfaces (or curves) in any dimension. We focus on the 2D quadratic case.

Let L (x, t) = 2H R t 0 δ(B s − x)s ds be the weighted local time of fractional Brownian motion B with Hurst index 1/2 < H < 1. In this paper, we use Young integration to study the integral of determinate functions R R f(x)L (dx, t). As an application, we investigate the weighted quadratic covariation [f(B), B ] ) defined by [f(B), B ] (W ) t := lim n→∞ 2H n−1