An instrumented indentation method is developed for generating maps of time-dependent viscoelastic and time-independent plastic properties of polymeric materials. The method is based on a pyramidal indentation model consisting of two quadratic viscoelastic Kelvin-like elements and a quadratic plastic element in series. Closed-form solutions for indentation displacement under constant load and c...

The study of linear fractals has gained a great deal from the study of quadratic fractals, despite important dierences. Methods for classifying points in the complement of a fractal shape were originally developed for quadratic fractals, to provide insight into their underlying dynamics. These methods were later modied for use with linear fractals. This paper reconsiders one such classication, ...

Tree comparison is ubiquitous in many areas. The simplest way for tree comparison is to define a pairwise distance measure. In a more refined comparison, one can establish a mapping between similar parts in two trees according to certain similarity measure. The best match problem for rooted leaf-labeled trees has been studied in the literature. However, no result has been found for the best mat...

We propose a novel landmark matching based method for aligning multimodal images, which is accomplished uniquely by resolving a linear mapping between different feature modalities. This linear mapping results in a new measurement on similarity of images captured from different modalities. In addition, our method simultaneously solves this linear mapping and the landmark correspondences by minim...

Fixing a field F of characteristic different from 2 and 3, we consider pairs (A, V ) consisting of a degree 3 central simple F -algebra A and a 3-dimensional vector subspace V of the reduced trace zero elements of A which is totally isotropic for the trace quadratic form. Each such pair gives rise to a cubic form mapping an element of V to its cube; therefore we call it a cubic pair over F . Us...

Abstract In this paper, we unify the system of functional equations defining a multi-quadratic–cubic mapping to single equation. Applying fixed point theorem, study generalized Hyers–Ulam stability mappings. As result, investigate hyperstability mappings in some senses.

Topographic mapping offers an intuitive interface to inspect large quantities of electronic data. Recently, it has been extended to data described by general dissimilarities rather than Euclidean vectors. Unlike its Euclidean counterpart, the technique has quadratic time complexity due to the underlying quadratic dissimilarity matrix. Thus, it is infeasible already for medium sized data sets. W...

This paper introduced a new three-dimensional continuous quadratic autonomous chaotic system, modified from the Lorenz system, in which each equation contains a single quadratic cross-product term, which is different from the Lorenz system and other existing systems. Basic properties of the new system are analyzed by means of Lyapunov exponent spectrum, Poincaré mapping, fractal dimension, powe...

Electromagnetic fields and media can be compactly represented by applying the four-dimensional differential-form formalism. In particular, classes of linear (bi-anisotropic) media can be defined in terms of the medium dyadic mapping between the electromagnetic two-forms. As a continuation to the process started by medium dyadics satisfying linear and quadratic algebraic equations, the class of ...