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In this thesis, we present bijections proving partitions identities. In the first part, we generalize Dyson's definition of rank to partitions with successive Durfee squares. We then present two symmetries for this new rank which we prove using bijections generalizing conjugation and Dyson's map. Using these two symmetries we derive a version of Schur's… (More)
Photomasks are the backbone of microfabrication industries. Currently they are fabricated by lithographic process, which is very expensive and time consuming since it is a several step process. These issues can be addressed by fabricating photomask by direct femtosecond laser writing, which is a single step process and comparatively cheaper and faster than… (More)
An empirical equation has been obtained for the elastic stress concentration factor at an isolated oblique circular-cylindrical hole in thick flat plate subjected to a uniform, arbitrarily oriented, uniaxial tension. The equation is presented and its development is outlined in this note.
The control of liquid level in tanks form an essential part in many process industries. A level that is too high may upset the reaction equilibrium, cause damage to the equipment or result in spillage of valuable or hazardous material. If the level is too low, it may have bad consequences for the sequential operation. In conical tanks the control of liquid… (More)
F rom July 3 through July 11, 1999, we spent 8.3 consecutive days of HST observing on a single GO program. The primary goal is a search for planetary companions in close orbits around main sequence stars in 47 Tuc. Program 8267 (PI Ron Gilliland; see page 3) represents the single largest allocation of HST time to a General Observer through the TAC process.… (More)