A double-loop digraph G(N ; s1, s2) = G(V,E) is defined by V = ZN and E = {(i, i + s1), (i, i + s2)| i ∈ V }, for some fixed steps 1 ≤ s1 < s2 < N with gcd(N, s1, s2) = 1. Let D(N ; s1, s2) be the diameter of G and let us define D(N) = min 1≤s1<s2<N, gcd(N,s1,s2)=1 D(N ; s1, s2), D1(N) = min 1<s<N D(N ; 1, s). Some early works about the diameter of these digraphs studied the minimization of D(N...

Let ut = $ u q(x)u :1⁄4 Lu in D · [0,1), where D R is a bounded domain with a smooth connected boundary S, and q(x) 2 L(S) is a real-valued function with compact support in D. Assume that u(x, 0) = 0, u = 0 on S1 S, u = a(s, t) on S2 = SnS1, where a(s, t) = 0 for t > T, a(s, t) 6 0, a 2 C([0,T];H(S2)) is arbitrary. Given the extra data uN jS2 1⁄4 bðs; tÞ, for each a 2 C ([0,T];H(S2)), where N i...

In the context of deteriorating soil health, stagnation of yield in rice-wheat cropping system (RWCS) across Indo- Gangetic plains (IGP) and environmental pollution, a long term field experiment was conducted during 2009-2016 taking four crop scenarios with conservation agriculture (CA), crop intensification and diversified cropping as intervening technology aiming to evaluate the sustainabilit...

Four cost measures s1, s2, s3, s4 were recently studied for sorting the operations in Lazy propagation with arc reversal (LPAR), a join tree propagation approach to Bayesian network inference. It has been suggested to use s1 with LPAR, since there is an effectiveness ranking, say s1, s2, s3, s4, when applied in isolation. In this paper, we also suggest to use s1 with LPAR, but to use s2 to brea...

Two experiments were conducted to examine whether the N2 component of the event-related potential (ERP), typically elicited in a S1-S2 matching task and considered to reflect mismatch process, can still be elicited when the S1 was imagined instead of perceived and to investigate how N2 amplitude varied with the degree of S1-S2 discrepancy. Three levels of discrepancy were defined by the degree ...

In his 1974 thesis, Martin Scharlemann constructed a fake homotopy equivalence from a closed smooth manifold f : Q → S3 × S1#S2 × S2, and asked the question whether or not the manifold Q itself is diffeomorphic to S3 × S1#S2 × S2. Here we answer this question affirmatively. In [Sc] Scharlemann showed that if Σ3 is the Poincaré homology 3-sphere, by surgering the 4-manifold Σ× S, along a loop in...

OBJECTIVE To examine the relationship between acoustic characteristics of the first and second heart sounds (S1 and S2) and underlying cardiac structure and haemodynamics in patients with isolated pulmonary arterial hypertension (PAH) and controls. DESIGN Prospective multicentre cohort study. SETTING Tertiary referral and community hospitals. PARTICIPANTS We prospectively evaluated 40 PAH...

The effects of different types of advance information (warning signal, temporal cue, movement parameter cue), presented at different intervals before an imperative stimulus on reaction time (RT) were examined. Sixteen patients with Parkinson's disease and 16 age-matched normal controls performed a simple reaction time (SRT) task, an uncued, two partially cued (cueing of direction of movement or...

The amygdala is a critical substrate for learning about cues that signal danger. Less is known about its role in processing innocuous or background information. The present study addressed this question using a sensory preconditioning protocol in male rats. In each experiment, rats were exposed to pairings of two innocuous stimuli in stage 1, S2 and S1, and then to pairings of S1 and shock in s...