Given a two-dimensional fractional multiplicative process (Ft)t∈[0,1] determined by two Hurst exponents H1 and H2, we show that there is an associated uniform Hausdorff dimension result for the images of subsets of [0, 1] by F if and only if H1 = H2.

Let G be a graph and A an Abelian group. Denote by F (G,A) the set of all functions from E(G) to A. Denote by D an orientation of E(G). For f ∈ F (G,A), an (A, f)-coloring of G under the orientation D is a function c : V (G) 7→ A such that for every directed edge uv from u to v, c(u) − c(v) 6= f(uv). G is A-colorable under the orientation D if for any function f ∈ F (G,A), G has an (A, f)-color...

The influence of afterload on the rate of force generation by the myocardium was investigated using two types of preparations: the in situ dog heart (dP/dt) and isolated papillary muscle of rats (dT/dt). Thirteen anesthetized, mechanically ventilated and thoracotomized dogs were submitted to pharmacological autonomic blockade (3.0 mg/kg oxprenolol plus 0.5 mg/kg atropine). A reservoir connected...

In this paper we determine when the join of two graphs is locally homogeneous. It is shown that the Cartesian product of a locally H1 graph and a locally H2 graph is locally (H1∪ H2). All graphs H of order at most 4 for which there are no locally H graphs are determined.

Let H1 and H2 be two subgraphs of a graph G. We say that G is the 2-sum of H1 and H2, denoted by H1 ⊕2 H2, if E(H1)∪E(H2)=E(G), |V (H1)∩ V (H2)| = 2, and |E(H1)∩E(H2)| = 1. A triangle-path in a graph G is a sequence of distinct triangles T1T2 · · ·Tm in G such that for 1 i m − 1, |E(Ti) ∩ E(Ti+1)| = 1 and E(Ti) ∩ E(Tj ) = ∅ if j > i + 1. A connected graph G is triangularly connected if for any ...

where U : H1 → H1 and T : H2 → H2 are two firmly quasi-nonexpansive operators with nonempty fixed-point sets F(U) = {x ∈ H1 : Ux = x} and F(T ) = {x ∈ H2 : Tx = x}. Note that by taking H2 = H3 and B = I, we recover the split common fixed-point problem originally introduced in Censor and Segal (J. Convex Anal. 16:587-600, 2009). In this paper, we will continue to consider the split common fixed-...

Two human faeces carriage isolates of Listeria monocytogenes (H1 and H2) were compared to reference strains (ScottA and LO28) with regard to their lethality in 14-day-old chick embryos, their haemolytic and phospholipase (phosphatidylcholine-phospholipase C and phosphatidylinositol-phospholipase C) activities and their invasiveness towards Caco-2 cells. Experimental infection of chick embryos a...

Three methods of determining the actual size of objects on the living fundus were utilized to measure the horizontal disc diameter (H) in 68 volunteers. H1 was calculated from fundus photographs based on the refractive power of the eye and according to the formula of Bengtsson and Krakau. H2 was derived from Littmann's trigonometric curves based on the anterior corneal curvature and the refract...

Little is known about how listeners judge phonemic versus allophonic (or freely varying) versus post-lexical variations in voice quality, or about which acoustic attributes serve as perceptual cues in specific contexts. To address this issue, native speakers of Gujarati, Thai, and English discriminated among pairs of voices that differed only in the relative amplitudes of the first versus secon...