A dynamical system is called contractive if any two solutions approach one another at an exponential rate. More precisely, the dynamics contracts lines This property implies highly ordered asymptotic behavior including entrainment to time-varying periodic vector fields and, in particular, global stability for time-invariant fields. Contraction theory has found numerous applications systems and ...

bunium persicum (boiss.) is an economically important medicinal plant growing wild in arid regions in iran. the essential oil of b. persicum (eobp) was extracted using hydrodistillation. a total of eighteen compounds, representing 96.14 % of the oil was identified by gas chromatography/mass spectrometry (gc/ms).the main compounds were cuminaldehyde (23.04 %), gamma-terpinene (14.48 %), trans-3-...

In this report, we analyze the asymptotic efficiency of self-adjusting contraction trees proposed as part of the Slider project [2, 3]. Self-adjusting contraction trees are used for incremental computation [1, 4, 5, 8]. Our analysis extends the asymptotic efficiency analysis of Incoop [6, 7]. We consider two different runs: the initial run of an Slider computation, where we perform a computatio...

if $g$ is a connected graph with vertex set $v$, then the eccentric connectivity index of $g$, $xi^c(g)$, is defined as $sum_{vin v(g)}deg(v)ecc(v)$ where $deg(v)$ is the degree of a vertex $v$ and $ecc(v)$ is its eccentricity. in this paper we show some convergence in probability and an asymptotic normality based on this index in random bucket recursive trees.

best approximation results provide an approximate solution to the fixed point equation $tx=x$, when the non-self mapping $t$ has no fixed point. in particular, a well-known best approximation theorem, due to fan cite{5}, asserts that if $k$ is a nonempty compact convex subset of a hausdorff locally convex topological vector space $e$ and $t:krightarrow e$ is a continuous mapping, then there exi...