OBJECTIVES We present a prototype adaptive reminder system for home-based medical tasks. The system consists of a mobile device for reminder presentation and ambient sensors to determine opportune moments for reminder delivery. Our objective was to study interaction with the prototype under naturalistic living conditions and gain insight into factors affecting the long-term acceptability of con...

This work presents a mathematical framework for the development of efficient algorithms for cyclic convolution computations. The framework is based on the Chinese Reminder Theorem (CRT) and the Winograd’s Minimal Multiplicative Complexity Theorem, obtaining a set of formulations that simplify cyclic convolution (CC) computations. In particularly, this work focuses on the arithmetic complexity o...

The main result of the present paper is the theorem 1, which describes the topological support of an arbitrary Gaussian measure in a separable Banach space. This theorem will be proved after some discussion of the notion of support itself. But we begin with the reminder of the notion of covariance operator of a probability measure. This notion has a great importance not only for the description...

As students move onward and upward through collegiate mathematics they are often impressed by the power of advanced techniques (aren’t they?), techniques allowing problems that were previously difficult or near-impossible to be solved with relative ease. For example, once students have learned the residue theorem in complex analysis they are able to elegantly evaluate integrals that were unwiel...

The Residue Number System (RNS) is a non-weighted system that is very efficient in digital signal processing and communicational applications. The previous proposed methods for the residue to binary (R/B) conversions are based on the Chinese Reminder Theorem (CRT) or Mixed Radix Conversion (MRC). These theorems are difficult to implement. In this paper, we present a new highspeed ROM-less resid...

The article is devoted to the method facilitating diagnostics of dynamic faults in networks interconnection systems-on-chips. It shows how reconstruct erroneous test response sequence coming from faulty connection based on set signatures obtained as a result multiple compaction this MISR register with programmable feedback. Chinese reminder theorem used for purpose. analyzes detail various hard...

OBJECTIVE To compare the effectiveness of three computerized reminder systems in the delivery of five preventive procedures in family practice. DESIGN Prospective, randomized, controlled study. SETTING Ottawa Civic Hospital Family Medicine Centre. PARTICIPANTS Of 8502 patients 15 years of age or more who were not in a hospital or institution 5883 were randomly assigned, by family, to a co...