The reaction of [Ln(btfa)3(H2O)2] (btfa- = 4,4,4-trifluoro-1-phenyl-1,3-butanedionate) with additional 4,4,4-trifluoro-1-phenyl-1,3-butanedione (Hbtfa) and acridine (Acr) in ethanol allows the isolation mononuclear compounds HAcr[Nd(btfa)4]·EtOH, (1) HAcr[Ln(btfa)4], Ln Dy (2) Yb (3); HAcr+ acridinium cation. Magnetic measurements indicate that complexes 1–3 show field-induced single-ion magnet...

In this paper, some discontinuity results are obtained using the number MC(t, t*) defined as MC(t,t*) = max { d(t,t*), ad(t,Tt) + (1-a)d(t*,St*), (1-a)d(t,Tt) ad(t*,St*), b/2 [d(t,St*) d(t*,Tt)]}, at common fixed point. Our provide a new and distinct solution to an open problem ?What contractive conditions which strong enough generate point but do not force map be continuous point?? given by Rh...

We show that Fa(x) = lnΓ(x + 1) x ln(ax) is a Pick function for a ≥ 1 and find its integral representation. We also consider the function f(x) = � πx/2 Γ(1 + x/2) �1/(x ln x) and show that ln f(x + 1) is a Stieltjes function and that f(x + 1) is completely monotonic on ]0,∞[. In particular f(n) = Ω ln n) n , n ≥ 2 is a Hausdorff moment sequence. Here Ωn is the volume of the unit ball in Euclide...

Singlet fission, the conversion of a singlet exciton (S1) to two triplets (2 × T1), may increase the solar energy conversion efficiency beyond the Shockley-Queisser limit. This process is believed to involve the correlated triplet pair state 1(TT). Despite extensive research, the nature of the 1(TT) state and its spectroscopic signature remain actively debated. We use an end-connected pentacene...

Reactions of 5-[2-(trimethylsilyl)-1-ethynyl]-2,2'-bipyridine (Me3SiC-Cbpy) with Pt(bpy)C12 (bpy = 2,2'-bipyridine) and Pt(bpyC[triple bond]C-C[triple bond]Cbpy)Cl2 (bpyC[triple bond]C-C[triple bond]Cbpy=bis(2,2'-bipyridin-5-yl)butadiyne) induced isolation of Pt(bpy)(C[triple bond]Cbpy)2 (1) and Pt(bpyC[triple bond]C-C[triple bond]Cbpy)(C[triple bond]Cbpy)2 (5), respectively. Incorporating Ln(h...

The paper aims to present recent developments about the inference of univariate distributions based on record values. Estimation of parameters, test of hypothesis, characterization problems and recurrence relations of moment and entropy of univariate distributions are discussed. Let X(t) R t 0 W(s) 2 ds where W is Brownian motion. Cameron and Martin (1944) found the distribution of X(t). Strass...

Zt e −αty i ht(x i) ; where α t = 1 2 ln 1−t t , t = err Dt (h t), and Z t is normalization factor. end output: final/combined hypothesis: H(x) = sign(T t=1 α t h t (x)). Last time, we have shown that the training error goes down very quickly with respect to the number of rounds of boosting T 1. However, what is the performance of the generalization error of AdaBoost? How do we estimate the upp...

Laminin has been proposed to influence the function of human adrenal cortex. We have studied the distribution of laminin (Ln) chains using immunofluorescence in human fetal and adult adrenal cortex. In the fetal gland Ln alpha2- and alpha5-chains were weakly expressed in the definitive zone, whereas Ln alpha4-, beta1-, and gamma1-chains occurred around vessels. In the adult gland, Ln alpha2-, a...

We explore possible extensions of the $t$-channel and $s$-channel unitary model high energy evolution in zero transverse dimensions appropriate to very energy/atomic number where dipole density a toy hadron is parametrically high.We suggest that generalization allow emission more than one single step evolution. construct explicitly such preserves s-channel unitarity have correct low limit, stud...