The rhizomes of Acorus gramineus have frequently been used in traditional medicine mainly for sedation as well as enhancing brain function. In this study, the anti-allergic activity of A. gramineus was investigated. The 70% ethanol extract of the rhizomes of A. gramineus was found to inhibit the allergic response against 5-lipoxygenase (5-LOX)-catalyzed leukotriene (LT) production from rat baso...

For theoretical fuzzy control it is a well known strategy to transform a system of control rules into a system of relation equations. Because these systems of relation equations are not always solvable, solvability criteria and approximate solutions have been discussed. We reconsider some of the results in this field and extend them using more recent results on t-norm based fuzzy logics and on ...

Let g(m, t) denote the minimum integer s such that for every 2-coloring of the integers in the interval [1, s], there exist t subsets A1, A2, . . . , At, of size m satisfying: (i) Ai for every i = 1, 2, . . . , t is monochromatic (not necessarily the same color) (ii) max(Ai) ≤ min(Ai+1) for every i = 1, 2, . . . , t − 1, and (iii) either diam(Ai) ≤ diam(Ai+1) for every i = 1, 2, . . . , t − 1 o...

AIM To comparatively investigate the cellular and molecular characteristics of low-grade slightly elevated adenomas and polypoid adenomas. METHODS Colorectal tumors were collected from 24 patients with slightly elevated adenomas and 23 patients with polypoid adenomas. Five commonly mutated genes (APC, BRAF, KRAS, NRAS, and PIK3CA) were selected for mutational analysis. Paraffin-embedded tumor...

Given a finite nonincreasing sequence of positive numbers a1 ≥ a2 ≥ . . . ≥ an > 0, select index j such that the absolute value of the difference between the sum of the first j terms and the sum of the remaining n− j terms is minimized. An analysis shows that the ratio of these two sums is then bounded between γ ≡ max{2, β} and 1/γ, where β is the maximum pairwise ratio of successive terms in t...

In this paper, we define the β-partial derivative as well β-directional of a multi-variable function based on β-difference operator, Dβ, which is defined by Dβf(t)=f(β(t))−f(t)/β(t)−t, where β strictly increasing continuous function. Some properties are proved. Furthermore, β-gradient vector and directional introduced. Finally, deduce Hahn-partial Hahn-directional derivatives associated with Ha...

For any a := (a1, a2, . . . , an) ∈ (R), we establish inequalities between the two homogeneous polynomials ∆Pa(x, t) := (x + a1t)(x + a2t) · · · (x + ant) − x and Sa(x, y) := a1x+a2xy+ · · ·+any in the positive orthant x, y, t ∈ R. Conditions for ∆Pa(x, t) ≤ tSa(x, y) yield a new proof and broad generalization of the number theoretic inequality that for base b ≥ 2 the sum of all nonempty produc...

Given relatively prime positive integers a1, . . . , an, the Frobenius number is the largest integer that cannot be written as a nonnegative integer combination of the ai. We examine the parametric version of this problem: given ai = ai(t) as functions of t, compute the Frobenius number as a function of t. A function f : Z+ → Z is a quasi-polynomial if there exists a period m and polynomials f0...