T he classic anatomic definition of a Crawford type IV thoracoabdominal aortic aneurysm (TAAA) is that of aneurysms extending from the 12th intercostal space to the iliac bifurcation involving the visceral aortic segment and the origins of the renal, superior mesenteric, and celiac arteries.1 In the endovascular era, however, some investigators have moved away from this strict anatomic criteria...

S-systems identify the direct interaction of genes and proteins in biological systems. Therefore, mathematical and computational analysis of the S-type models is important to achieve a true understanding of biological systems. However, theoretical approaches for Ssystems are limited, and computational identification of S-systems’ parameters is challenging. How to make a trade-off between accura...

By means of the theory of majorization and under the proper hypotheses, the following inequalities of Jensen-Pečarić-Svrtan-Fan (Abbreviated as J-P-S-F) type are established: f (A(x)) g(A(x)) · · · fk+1,n(x) gk+1,n(x) fk,n(x) gk,n(x) · · · A( f (x)) A(g(x)) , where fk,n(x) := 1 (k) ∑ 1 i1<···<ik n f ( xi1 + · · ·+ xik k ) , x ∈ [a,b] .

In this paper we establish some new inequalities for differentiable functions based on concavity and s-convexity. We also prove several Hadamard-type inequalities for products of two convex and s-convex functions. 2007 Elsevier Inc. All rights reserved.

Using the conformal compensator superfields of N=2 D=4 supergravity, the Type IIB S-duality transformations are expressed as a linear rotation which mixes the compensator and matter superfields. The classical superspace action for D=4 compactifications of Type IIB supergravity is manifestly invariant under this transformation. Furthermore, the introduction of conformal compensators allows a Fra...