While the processes taking place in a bubble reactor are simple to describe in a few sentences it is much more difficult to give a physical description that is useful for engineering purposes. A better understanding of a cluster of bubbles dissolving in a liquid where the species transferred reacts with other dissolved species is an interesting engineering challenge that could result in simplif...

In this paper, the novel gradient concrete is innovatively applied to bridge towers of Chizhou Yangtze River Bridge solve cracking and insufficient durability problems towers. Fiber-reinforced used in outer functional area tower, significantly improve its crack resistance during construction service. Moreover, integrated design anti-cracking mechanical properties tower materials achieved. To st...

On the Automorphism Tower of Free Nilpotent Groups Martin Dimitrov Kassabov 2003 In this thesis I study the automorphism tower of free nilpo-tent groups. Our main tool in studying the automorphism tower is to embed every group as a lattice in some Lie group. Using known rigidity results the automorphism group of the discrete group can be embedded into the automorphism group of the Lie group. Th...

design process consists of multiple coherent stages in which a lot of factors involve and their impact on each other is inseparable. design is a process of transfer, translates, and interact the concepts and internal ideas of designer through sketches. visual reasoning is the main factor in connecting designer's knowledge and experiences through sketch and continues till achieving a satisf...

Towers of function fields over a fixed finite field have attracted much attention, specially for the connections with Coding Theory and Cryptography (see [TV], [NX], [Z], [GS2] and [GS3]). Ihara was the first to realize that the so-called Hasse-Weil upper bound was weak if the genus of the function field is large with respect to the cardinality of the finite field (see [Iha]). The first explici...