An algorithm for the calculation of the maximum modulus of a complex polynomial on the unit disc is described and evaluated. The algorithm is based on a lemma of Stečkin.

A proof for the maximum modulus principle (in the unit disc) is presented. This proof is unusual in that it is based on linear algebra. The goal of this note is to provide a neat proof of the following version of the maximum modulus principle. Theorem 1 Let f be a function analytic in a neighborhood of the closed unit disc D = {z ∈ C : |z| ≤ 1}. Then max z∈D |f(z)| = max z∈∂D |f(z)|. (Here and ...

Small strain shear modulus is one of the most important geotechnical parameters to characterize soil stiffness. In-situ stiffness of soils and rocks is much higher than was previously thought as finite element analysis have shown. Also, the stress-strain behaviour of those materials is non-linear in most cases with small strain levels. The commun approach for getting the small strain shear modu...

Tensile stress–strain and stress relaxation properties of 1100 equivalent weight Nafion have been measured from 23 to 120 C at 0–100% relative humidity. At room temperature, the elastic modulus of Nafion decreases with water activity. At 90 C, the elastic modulus goes through a maximum at a water activity of 0.3. At temperatures 90 C, hydrated membranes are stiffer than dry membranes. Stressrel...

For a functionally graded (FG) circular cylinder loaded by uniform pressures on the inner and the outer surfaces and Young’s modulus varying in the radial direction, we find lower and upper bounds for Young’s modulus of the energetically equivalent homogeneous cylinder. That is, the strain energies of the FG and the homogeneous cylinders are equal to each other. For a typical power law variatio...

In last years, many modulus sets in the Residue Number System (RNS) for increasing Dynamic Range (DR) and parallelism are presented. Hence, for reach these purposes a new 5-Moduli Set for even n, and its efficient reverse converter design are introduced in this paper. This modulus set contains pair-wise relatively prime, and it offers the maximum feasible DR. New CRT-I and MRC are used to obtai...