We extend the concept of weaving Hilbert space frames to the Banach space setting. Similar to frames in a Hilbert space, we show that for any two approximate Schauder frames for a Banach space, every weaving is an approximate Schauder frame if and only if there is a uniform constant C ≥ 1 such that every weaving is a C-approximate Schauder frame. We also study weaving Schauder bases, where it i...

Coming out from the process functional paradigm and using PFL – a process functional language, a generalized approach to weaving at the micro-structural level is presented. Exploiting the application of processes and PFL reflection property, we develop a generalized weaving scheme and we express it in the form of weaving pattern. Different specializations and extensions of weaving patterns occu...

Effective immobilization and transportation are vital to the life-saving acute medical care needed when treating critically injured people. However, the most common types of stretchers used today are wrought with problems that can lead to further medical complications, difficulty in employment and rescue, and ineffective transitions to hospital treatment. Here we report a novel first aid stretc...

This paper describes the main features of the CARPET language and its practical use for programming three-dimensional models of the contamination of soils developed in the CABOTO project. CARPET is a high-level language based on the cellular automata model, which supports rapid prototyping of a large number of applications in science and engineering. A CARPET implementation has been used for pr...

Consider a family of bounded domains Ωt in the plane (or more generally any Euclidean space) that depend analytically on the parameter t, and consider the ordinary Neumann Laplacian ∆t on each of them. Then we can organize all the eigenfunctions into continuous families u (j) t with eigenvalues λ (j) t also varying continuously with t, although the relative sizes of the eigenvalues will change ...

Let X be a standard 2-dimensional Brownian motion. There exists a.s. t ∈ (0, 1) such that X([0, t)) ∩ X((t, 1]) = ∅. It follows that X([0, 1]) is not homeomorphic to the Sierpiński carpet a.s.

Performance and availability are two critical requirements of today’s systems. Current dynamic AOP approaches have addressed the performance issue from one specific dimension: the performance of code after the weaving process. Other performance factors may have a great impact on overall system performance. This includes performance of the weaving process itself and also system availability in s...

Carpet manufacturers have wear labels assigned to their products by human experts who evaluate carpet samples subjected to accelerated wear in a test device. There is considerable industrial and academic interest in going from human to automated evaluation, which should be less cumbersome and more objective. In this paper, we present image analysis research on videos of carpet surfaces scanned ...

The results are in. Recent studies conducted by an independent testing laboratory show that when it comes to acoustics, commercial cushion makes carpet even better. To specifiers and end-users, it will come as no surprise that properly specified carpet cushion reduces noise when used in a commercial installation. What will be of interest is the degree of improvement that has been quantified in ...