Quantum-dot cellular automata, is an extremely small size and a powerless nanotechnology. It is the possible alternative to current CMOS technology. Reversible QCA logic is the most important issue at present time to reduce power losses. This paper presents a novel reversible logic gate called the F-Gate. It is simplest in design and a powerful technique to implement reversible logic. A systema...

play provides opportunities for exploration, experimentation, and manipulation that are essential for constructing knowledge and contributes to the development of representational thought. during play, children examine and refine their learning in light of the feedback they receive from the environment and other people. it is through play that children develop their imaginations and creativity....

introduction the debate regarding the description on classification and nomenclature of the injury which includes olecranon fracture associated with radial neck fractures in children is ongoing. we report two pediatric cases that could not be classified in a monteggia-equivalents system and were treated with open reduction and k-wire fixation. the aim of this study was to perform a systematic r...

We prove a reverse form of the multidimensional Brascamp-Lieb inequality. Our method also gives a new way to derive the Brascamp-Lieb inequality and is rather convenient for the study of equality cases. Introduction We will work on the space R with its usual Euclidean structure. We will denote by 〈, 〉 the canonical scalar product. In [BL], H. J. Brascamp and E. H. Lieb showed that for m ≥ n, p1...

In the present paper, we extend Garaev’s techniques to the set of fields which are not necessarily of prime order. Our goal here is just to find an explicit estimate in the supercritical setting where the set A has less cardinality than the square root of the cardinality of the field, and interacts in a less than half-dimensional way with any subfields. (We make this precise below.) Precisely, ...

We first prove a generalized Wirtinger’s inequality. Then, applying the inequality, we study estimates for lower bounds of periods of periodic solutions for a class of delay differential equations ẋ t −∑nk 1f x t − kr , and ẋ t − ∑n k 1g t, x t − ks , where x ∈ R, f ∈ C R,R , and g ∈ C R×Rp,Rp and r > 0, s > 0 are two given constants. Under some suitable conditions on f and g, lower bounds of p...

In this paper, we give a unified generalization of Aczél, Popoviciu and Bellman's inequalities. The result is then applied to deriving a refinement of Aczél's inequality and Bellman's inequality. As consequences, several interesting integral inequalities of Aczél-Popoviciu-Bellman type are obtained.

BACKGROUND The basic premise of preadjusted bracket system is accurate bracket positioning. It is widely recognized that accurate bracket placement is of critical importance in the efficient application of biomechanics and in realizing the full potential of a preadjusted edgewise appliance. AIM The purpose of this study was to design a calibrating system to accurately detect a point on a plan...