This paper presents a study of a square membrane, creased according to theMiura-ori folding pattern.When the membrane is allowed to expand from its packaged configuration, it initially expands elastically under zero corner forces. Starting from this naturally expanded configuration, the paper investigates the stress distribution and the load-displacement relationship when in-plane, diagonal loa...

For an n-by-n complex matrix A in a block form with the (possibly) nonzero blocks only on the diagonal above the main one, we consider two other matrices whose nonzero entries are along the diagonal above the main one and consist of the norms or minimum moduli of the diagonal blocks of A. In this paper, we obtain two inequalities relating the numeical radii of these matrices and also determine ...

We propose a new O(n)-space implementation of the GKO-Cauchy algorithm for the solution of linear systems with Cauchy-like matrix. Despite its slightly higher computational cost, this new algorithm makes a more efficient use of the processor cache memory. Thus, for matrices of size larger than n ≈ 500− 1000, it outperforms the existing algorithms. We present an applicative case of Cauchy-like m...

Viewing Ci(n,m) as entries of the Ni|Ni matrix Ci, we note that this matrix is symmetric because both the displacement vector D~d(m,n)D~D{~d(n,m)D~D~d(n,m)D and the track-segment length l(n,m)~l(m,n) are invariant under the time reversal operation n<m such that C(n,m)~C(m,n). Furthermore, the diagonal elements of Ci take values Ci(k,k)~1 because D~di(k,k)D~li(k,k) for all k. In general, 0ƒCi(n,...

alzheimer’s disease (ad) is a uniquely human disorder. although the pathogenesis of ad is not fully understood, growing evidence indicates that the deposition of beta-amyloid (aβ) and the local reactions of various cell types to this protein play major roles in the development of the disease. in the present study transgenic mice expressing mutant amyloid precursor protein (app) has been used. t...

In the structural optimization problem, the aim is to decrease the amount of structural costs and weight, but the safety of platform should not violate the individual limits enforced by offshore codes. The outer diameter and thickness of members are two important variables in the optimization process and their final dimensions should be obtained according to the optimization algorithms such as ...

We characterize the natural diagonal almost product (locally product) structures on the tangent bundle of a Riemannian manifold. We obtain the conditions under which the tangent bundle endowed with the determined structure and with a metric of natural diagonal lift type is a Riemannian almost product (locally product) manifold, or an (almost) para-Hermitian manifold. We find the natural diagona...