The choice of mapping strategies to effectively map controller variables to sound synthesis algorithms is examined. Specifically, we look at continuous mappings that have a geometric representation. Drawing from underlying mathematical theory, this paper presents a way to compare mapping strategies, with the goal of achieving an appropriate match between mapping and musical performance context....

In this paper, we introduce the new definition of rough membership function using continues and discuss several concepts properties continuous set value functions as results on . Moreover, extend to topology spaces by substituted an equivalence class prove some theorems certain types more general fundamental generalized sets. Our result concept valued theory.

I have examined the final copy of this Thesis for form and content and recommend that it be accepted in partial fulfillment of the requirement for the degree of Master of Science with a major in Electrical and Computer Engineering. iv ACKNOWLEDGMENTS I would like to thank my advisor, Dr. John Watkins, for his thoughtful, patient guidance and continuous wholehearted support. I would also like to...

Two hundred Carpentier-Edwards, Björk-Shiley, and Starr-Edwards prostheses in 173 patients were examined. Sixteen (16%) in the aortic and 24 (25%) in the mitral position were associated with clinical signs of regurgitation. A phased array system (Hewlett-Packard A77020A) with a 2.5 MHz duplex and 1.9 MHz continuous wave transducer was used. Colour flow mapping showed trivial transvalvar regurgi...

where / is a mapping of X into its adjoint space X* such that for all u in X, (J(u)} ^)=|M| 2 d ||/(^)|| HMI* In some recent papers ([7], [8], [9]), we have presented an existence theory for solutions of nonlinear functional equations in uniformly convex Banach spaces X involving nonexpansive and accretive mappings. These results were obtained by interweaving the fixed point theory of nonexpans...

The continuous evolution of life science ontologies requires the adaptation of their associated mappings. We propose two approaches for tackling this problem in a largely automatic way: (1) a compositionbased adaptation relying on the principle of mapping composition and (2) a diff-based adaptation algorithm individually handling change operations to update the mapping. Both techniques reuse un...

We introduce a new iterative algorithm for finding a common element of the solution set of the variational inequality problem for a continuous monotone mapping, the zero point set of a maximal monotone operator, and the fixed point set of a continuous pseudocontractive mapping in a Hilbert space. Then we establish strong convergence of the sequence generated by the proposed algorithm to a commo...