Spider aciniform (wrapping) silk is a remarkable fibrillar biomaterial with outstanding mechanical properties. It is a modular protein consisting, in Argiope trifasciata, of a core repetitive domain of 200 amino acid units (W units). In solution, the W units comprise a globular folded core, with five α-helices, and disordered tails that are linked to form a ~63-residue intrinsically disordered ...

The purpose of this article is to prove strong convergence theorems for fixed points of closed hemirelatively nonexpansive mappings. In order to get these convergence theorems, the monotone hybrid iteration method is presented and is used to approximate those fixed points. Note that the hybrid iteration method presented by S. Matsushita and W. Takahashi can be used for relatively nonexpansive m...

In this paper, a progressive fingerprint image compression (for storage or transmission) using edge detection scheme developed. The image is decomposed into two components. The first component is the primary component, which contains the edges, the other component is the secondary component, which contains the textures and the features. In this paper, a general grasp for the image is reconstruc...

It follows that the E-step splits into an E-W step and an E-Z step. The subsequent M-step can also be divided into two steps referred to as the M-GMM step and the M-mapping step. In what follows details are given for the E-W step and the M-mapping step as the E-Z and M-GMM steps are straightforward as explained in the main paper (equations (27) to (30. For the sake of readability, the current i...

Let k be a ®eld of characteristic zero. We denote by M the Grothendieck ring of algebraic varieties over k (i.e. reduced separated schemes of ®nite type over k). It is the ring generated by symbols ‰SŠ, for S an algebraic variety over k, with the relations ‰SŠ ˆ ‰S0Š if S is isomorphic to S0; ‰SŠ ˆ ‰S n S0Š ‡ ‰S0Š if S0 is closed in S and ‰S S0Š ˆ ‰SŠ‰S0Š. Note that, for S an algebraic variety ...

In this paper, we introduce an iterative scheme by viscosity approximation method for obtaining a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality for an inverse-strongly monotone mapping in a Hilbert space. We obtain a strong convergence which improves and extends S. Tak...

We prove a strong convergence theorem for finding a common element of the set of solutions for generalized equilibrium problems, the set of fixed points of a relatively nonexpansive mapping, and the set of fixed points of a quasi-φ-nonexpansive mapping in a Banach space by using the shrinking Projection method. Our results improve the main results in S. Takahashi and W. Takahashi 2008 and Takah...

We obtain estimates for coefficients pk ∈ ℂ of algebraic polynomials $$ w=\sum \limits_{k=0}^n{p}_k{z}^k mapping the disc |z| ≤ 1 in corner | arg w| α π/2. prove sharpness and write corresponding extremal polynomials.