Yael Niv1,2 and Michal Rivlin-Etzion2,3 1Center for the Study of Brain, Mind and Behavior, Princeton University, Princeton, New Jersey 08544, 2Interdisciplinary Center for Neural Computation, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel, and 3Department of Physiology, The Hebrew University-Hadassah Medical School, 91120 Jerusalem, Israel Review of Mazzoni et al. (http://www.jneur...

A finite element program capable of analysing finite plane strain deformations of incompressible rubberlike (Mooney-Rivlin) materials has been develop~d. Two problems, namely a long wall loaded uniformly in two directions and a thick-wall cylindrical pressure vessel loaded internally, have been solved. The computed values of displacements, strains, stresses and hydrostatic pressure agree very c...

It is, with heavy hearts, that we report that our friend and mentor, Theodore J. Rivlin, died on July 22, 2006, in Croton-on-Hudson, New York, just weeks before his 80th birthday. He had suffered from Alzheimer’s disease in his final years. Ted was an associate editor of Journal of Approximation Theory from its inception in 1968. Ted was born on September 11, 1926, in Brooklyn, New York. He rec...

Background: There is no consistent data on the mechanical properties of sheep intestine. OBJECTIVES: We performed a series of biaxial strain measurement experiments and extracted the constitutive model to describe the mechanical characteristics of the sheep intestinal tissue. METHODS: Eleven specimens were obtained freshly from sacrificed  sheep and the planar biaxial tests were performed on th...

We define the multivalued Reich (G, ρ)-contraction mappings on a modular function space. Then we obtain sufficient conditions for the existence of fixed points for such mappings. As an application, we introduce a ρ-valued Bernstein operator on the set of functions f : [0, 1] → Lρ and then give the modular analogue to Kelisky-Rivlin theorem. c ©2016 All rights reserved.

A well-known result of Ankeney and Rivlin states that if p(z) is a polynomial of degree n, such that p(z) 0 in [z[ < 1, then maxlz[=R>_l Ip(z)l <_ (---)maxlzl= Ip(z)l. In this paper we 1)rove ,some generalizations and refinements of this result.

It is shown that no stable procedure for approximating functions from equally spaced samples can converge exponentially for analytic functions. To avoid instability, one must settle for root-exponential convergence. The proof combines a Bernstein inequality of 1912 with an estimate due to Coppersmith and Rivlin in 1992.

The Rivlin-Ericksen model is one of the oldest models in fluid dynamics to describe non-Newtonian properties. comes with two independent transports at second order. In this paper, we study relativistic origin fluid. Starting from a Weyl invariant uncharged $3+1$ dimensions, reduce it over light-cone directions and obtain generic non-relativistic lower dimension all possible order terms constitu...