For simplicity, we use the following convention: Y is a non empty set, P1, P2 are partitions of Y , A, B are subsets of Y , i is a natural number, x, y, x1, x2, z0 are sets, and X, V , d, t, S1, S2 are sets. The following proposition is true (1) If X ∈ P1 and V ∈ P1 and X ⊆ V, then X = V. Let us consider S1, S2. We introduce S1 ⋐ S2 and S2 ⋑ S1 as synonyms of S1 is finer than S2. We now state s...

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...

Hepatitis B e antigen-positive human serum was treated with 50-90% ethanol at room temperature for 1-60 min, then the antigenicity of S antigen (hepatitis B surface antigen, in a narrow sense) was determined by radioimmunoassay and the antigenicities of pre-S1 and pre-S2 antigens were measured by enzyme immunoassay. In addition, hepatitis B virus (HBV) DNA in the treated serum was detected by p...

ETHODS A portion of the left ventricular epicardial surface of angendorff-perfused rabbit hearts was stimulated using uniform lectric fields produced by two parallel line electrodes. The Vms ere recorded from di-4-ANEPPS-stained hearts using a multisite ptical mapping system. The hearts were paced with 20 S1 pulses rom the apex, and shocks (S2: 5, 10, 20 V/cm) were applied via he line electrode...

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 ...

The Kv1.2 channel, with its high resolution crystal structure, provides an ideal model for investigating conformational changes associated with channel gating, and fluorescent probes attached at the extracellular end of S4 are a powerful way to gain a more complete understanding of the voltage-dependent activity of these dynamic proteins. Tetramethylrhodamine-5-maleimide (TMRM) attached at A291...

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...