for all k. This shows that the sequence of functions is uniformly equicontinuous. Let now t ∈ R and assume that the sequence (|fk(t)|) is unbounded. Then it follows from the estimate that the sequence (min[t−1,t+1] |fk|) is unbounded and therefore also that (‖fk‖L2) is unbounded, contradiction. We conclude the the sequence ‖fk(t)‖ is bounded, for every t ∈ R. Let now T > 0. Then it follows by A...

The International Index is a powerful predictor of outcome in the aggressive non-Hodgkin's lymphomas that is based solely on clinical features. Proliferative activity (% S-phase) measured by flow cytometry has been reported to have prognostic significance in many series and may represent a biologic correlate of clinical behavior that further defines prognosis. Flow cytometric analysis of cellul...

the growing interest in using natural fibers as reinforcing agents of polymer-based composites is mainly due to their advantages such as lower cost, lower density, ease of preparation, lower energy requirements for processing, biodegradability, wide availability and relative non-abrasiveness over traditional reinforcing fibers such as glass and carbon. in this study, wood-plastic composite (wpc...

Lattice Boltzmann Method (LBM) is used to simulate the lid driven cavity flow to explore the mechanism of non-Newtonian fluid flow. The power law model is used to represent the class of non-Newtonian fluids (shear-thinning and shear-thickening fluids) by considering a range of 0.8 to 1.6. Investigation is carried out to study the influence of power law index and Reynolds number on the variation...

We report on the structure of the scalar index-of-refraction field generated by turbulent, gas-phase, incompressible and compressible shear-layers and incompressible jets, and on associated beam-propagation aero-optical phenomena. Using simultaneous imaging of the optical-beam distortion and the turbulent-flow index-ofrefraction field, wavefront-phase functions were computed for optical beams e...

the hot compression tests were carried on x45crniw189 valve steel (x45) in the temperature rangeof 1000– 1200 °c and the strain rate range of 0.004 – 0.5 s-1 in order to study the high temperaturesoftening behavior of this steel. for the exact prediction of flow stress, the effective stress-effectivestrain curves were obtained from experiments under various conditions. on the basis of experimen...

In design and analysis, standard references assume the pedestrian flow as unidirectional. In reality however, pedestrian flow is usually bi-directional. The main question pursued in this paper is that whether the main characteristics of pedestrian flow the same under uni- and bi-directional conditions. In order to achieve this goal, effect of bi-directional stream is inv...

the aim of this work was to investigate the influence of interactions between modified starch (hi-cap 100) and the nonionic surfactant tween 80 on the properties of cardamom oil-in-water emulsion and its corresponding spray dried microcapsules. to this end the mean diameter and size distribution of droplets as well as their polydispersity index and also the viscosity and flow behavior of emulsi...