Consider a Riemannian manifold equipped with an infinitesimal isometry. For this setup, a unified treatment is provided, solely in the language of Riemannian geometry, of techniques in reduction, linearization, and stability of relative equilibria. In particular, for mechanical control systems, an explicit characterization is given for the manner in which reduction by an infinitesimal isometry,...

finding the most appropriate governing equation under different environmental conditions is the most important step for both designing sorption systems and pollutant transport modeling. in this study, the second order model based on the sorbent concentration is theoretically and experimentally investigated. a circular flume was used for the sorption of cadmium by zeolite to simulate the natural...

And submitted in partial fulfillment of the requirement for the degree of Master of Applied science(mechanical engineering) Complies with the regulations of the university and meets the accepted standards with respct to originality and quality. Approved by Chair of department or graduate program director Dean of Faculty Date iii ABSTRACT The mathematical theories for linear systems provide a un...

We show that for one-shot problems problems where a processor executes a single operation-execution timing constraints can be captured by conditions on the relation between original outputs and supplementary snapshots. In addition to the dictionary definition of the word snapshot, in distributed computing snapshots also stand for a task that imposes relation among sets which are output of proce...

An execution containing operations performing queries or updating a concurrent object is linearizable w.r.t an abstract implementation (called specification) iff for each operation, one can associate a point in time, called linearization point, such that the execution of the operations in the order of their linearization points can be reproduced by the specification. Finding linearization point...

Image search has been actively studied in recent years. On the other hands, image browsing has received little attention. Image browsing refers to the process of presenting some forms of overview or summary of the image relationships, thus facilitating a user to navigate across the data set and find images of interests. In this paper, we present a new data structure built on the multi-lineariza...

Power amplifiers (PAs) are vital components in many communication systems. To be transmitted wirelessly, a signal must be amplified with high fidelity so as to account for attenuation through the channel or propagation medium. The linearity of a PA response constitutes an important factor that ensures signal integrity and reliable performance of the communication system. Unfortunately, PAs are ...