film coating solutions containing different grades of hpmc (e5, e15 and e50) with and without polyethylene glycol (with various molecular weights) were examined by an oscillatory method, using haake cv 100 rheometer. fundamental rheological parameters (?, g? and g² ) were measured over the frequency range from 0.04 to 2 hz. the variation with frequency of the loss tangent (a ratio of viscous to...

in this paper, we are going to study the g-natural metrics on the tangent bundle of finslermanifolds. we concentrate on the complex and kählerian and hermitian structures associated with finslermanifolds via g-natural metrics. we prove that the almost complex structure induced by this metric is acomplex structure on tangent bundle if and only if the finsler metric is of scalar flag curvature. t...

In the paper, tangent similarity measure of neutrosophic refined set is proposed and its properties are studied. The concept of this tangent similarity measure of single valued neutrosophic refined sets is an extension of tangent similarity measure of single valued neutrosophic sets. Finally, using the propsed refined tangent similarity measure of single valued neutrosophic sets, a numerical ex...

We interpret the finite Zariski tangent spaces Ta(X,Fqm) to an affine variety X ⊂ Fq n as linear codes. If the degree ofX is relatively prime to the characteristic p = charFq, we show that the minimum distance of Ta(X,Fqm) stabilizes while varying a ∈ X(Fqm) := X ∩ Fnqm and m ∈ N. The article provides a pseudocode for obtaining the generic minimum distance of a tangent code and points, at which...

In pattern recognition, statistical modeling, or regression, the amount of data is the most critical factor a ecting the performance. If the amount of data and computational resources are near in nite, many algorithms will provably converge to the optimal solution. When this is not the case, one has to introduce regularizers and a-priori knowledge to supplement the available data in order to bo...

From this result one can easily deduce I (H) = n 1. For a detailed discussion of Cheeger’s constant and related results, one can consult [Cha, Chapter 6]. In general, it is very di¢ cult to know if the isoperimetric constant is positive or not and it is almost impossible to compute it explicitly if it is known to be positive. In this short note, we prove that the isoperimetric constant is posit...

For uniformly chosen random α ∈ [0, 1], it is known the probability the nth digit of the continued-fraction expansion, [α]n converges to the Gauss-Kuzmin distribution P([α]n = k) ≈ log2(1 + 1/k(k + 2)) as n → ∞. In this paper, we show the continued fraction digits of √ d, which are eventually periodic, also converge to the Gauss-Kuzmin distribution as d → ∞ with bounded class number, h(d). The ...

Taking advantage of the continuously improving, web-based learning systems plays an important role for self-learning, especially in the case of working people. Nevertheless, learning systems do not generally adapt to learners’ profiles. Learners have to spend a lot of time before reaching the learning goal that is compatible with their knowledge background. To overcome such difficulties, an e-l...

Let Sn be the n-sphere of constant positive curvature. For n ≥ 2, we will show that a measure on the unit tangent bundle of S, which is even and invariant under the geodesic flow, is not uniquely determined by its projection to S. Mathematics Subject Classification (2000). 53D25.