Hilbert frames theory have been extended to frames in Hilbert $C^*$-modules. The paper introduces equivalent $*$-frames and presents ordinary duals of a constructed $*$-frame by an adjointable and invertible operator. Also, some necessary and sufficient conditions are studied such that $*$-frames and ordinary duals or operator duals of another $*$-frames are equivalent under these conditions. W...

GAHIDE, SEVERINE FRANCOISE. Exploration of Micromachines to Textiles: Monitoring Warp Tension and Breaks during the Formation of Woven Fabrics (Under the direction of Drs. George Hodge and Abdelfattah Seyam.) MicroElectroMechanical Systems, or MEMS, is an emerging high technology that has proven to be very successful in several industries such as medical, automotive and ink jet industries. The ...

The Notes that follow are meant to supplement, and not to replace, the translation of the book Shaft Weaving and Graph Design by Olivier Masson and Francois Roussel, hereinafter referred to as M&R. All quotes and references are to the translation. The Notes' organization is as follows: a summary of M&R's entire book is provided, summarizing and identifying book sections of interest to weavers a...