the only justification for the einstein velocity addition law appeared to be its empirical adequacy, so that the intrinsic beauty and harmony in einstein addition remained for a long timea mystery to be conquered. accordingly, the aim of this expository article is to present(i) the einstein relativistic vector addition,(ii) the resulting einstein scalar multiplication,(iii) the einstein relativ...

Suppose that (T;*) is a groupoid with left identity such each element 2 T has inverse. Then called gyrogroup if and only (i) there exists function gyr : x -Aut(T) for all a; b; c T, * (b c) = (a b) ? gyr[a; b]c, where b]c gyr(a; b)(c); (ii) b b] gyr[a b]. In this paper, the structure of normal subgyrogroups certain gyrogroups are investigated.

the aim of this paper is to show the importance of analytic hyperbolic geometry introduced in [9]. in [1], ungar and chen showed that the algebra of the group sl(2,c) naturally leads to the notion of gyrogroups and gyrovector spaces for dealing with the lorentz group and its underlying hyperbolic geometry. they defined the chen addition and then chen model of hyperbolic geometry. in this paper,...

Using Klein's approach, geometry can be studied in terms of a space points and group transformations that space. This allows us to apply algebraic tools studying mathematical structures. In this article, we follow approach study the $(G, \mathcal{T})$, where $G$ is an abstract gyrogroup $\mathcal{T}$ appropriate containing all gyroautomorphisms $G$. We focus on $n$-transitivity gyrogroups also ...

qct calculations were performed to study the behavior of energized nh2oh formed by association collision of nh2 radical with oh radical. a potential energy surface that describes the behavior of the title reaction has been constructed by interpolation of ab initio data. h2o, hon, hno, nh3, o, h2no, cis or trans-honh, and h products and two vibrationally energized nh2oh and nh3o adducts were obs...

The concept of gyrogroups, with a weaker algebraic structure without associative law, was introduced under the background c -ball relativistically admissible velocities Einstein velocity addition. A topological gyrogroup is just endowed compatible topology such that multiplication jointly continuous and inverse continuous. This generalizes groups. In this paper, we are going to establish for lo...

polymerization of styrene in presence of two monofunctional initiators is studied kinetically in an ampoule scale. polymerizations were ceased at different conversions for each ampoule while the temperature was increased almost linearly during the reaction. three different initiator mixtures were used. the first mixtures were composed of benzoil peroxide (bpo) and t-butyl perbenzoate (tbpb) wit...

the present study was carried out to evaluate the antioxidant and free radical scavenging activity of methanolic extract of ervatamia coronaria leaves (apocynaceae) in various systems. dpph radical, superoxide anion radical, nitric oxide radical and hydroxyl radical scavenging assays were carried out to evaluate the antioxidant potential of the extract. the antioxidant activity of methanolic ex...