Ludwig Lachmann famously stressed that expectations are inherently subjective, resulting in the phenomenon of divergent expectations, i.e., differing interpretations of market conditions on the part of market participants; a phenomenon that, coupled with the ceaseless change characterizing market data, greatly undermines the presence of any process of error correction on the marketplace. This p...

In this paper we determine the minimal number of yes–no queries that are needed to nd an unknown integer between 1 and N , if at most three of the answers are lies. This strategy is also an optimal adaptive strategy for binary three-error-correcting codes. c © 2000 Elsevier Science B.V. All rights reserved.

In this article, we determine the number of yes/no questions required to figure out a birthday (a number between 0 and 31) when up to r incorrect answers to these questions are allowed. In the language of error-correcting codes, we construct optimal (shortest possible length) codes of size 32 and minimal distance d for each positive integer d .

PURPOSE Presence of photon attenuation severely challenges quantitative accuracy in single-photon emission computed tomography (SPECT) imaging. Subsequently, various attenuation correction methods have been developed to compensate for this degradation. The present study aims to implement an attenuation correction method and then to evaluate quantification accuracy of attenuation correction in s...

Absiruct-A linear code C over GF( q) is good for t-error-correction and error detection if P(C, t; c) I P(C, t; (q 1)/q) for all z, 0 s c I (q 1)/q, where P( C, t; c) is the probability of an undetected error after a codeword in C is transmitted over a q-ary symmetric channel with error probability c and correction is performed for ail error patterns with t or fewer errors. A sufficient conditi...

In this paper, a joint adaptive power allocation and channel coding optimization scheme is proposed. This scheme exploits the difference in importance among bits used to represent an image or video signal. An offline iterative algorithm is developed to find the optimum combination of coding and power to be used for the transmission of individual bits. Optimality here is in the sense of minimizi...

The a posteriori error analysis of conforming finite element discretisations of the biharmonic problem for plates is well established, but nonconforming discretisations are more easy to implement in practice. The a posteriori error analysis for the Morley plate element appears very particular because two edge contributions from an integration by parts vanish simultaneously. This miracle does no...

A family of Galerkin nite element methods is presented to accurately and e ciently solve the wave equation that includes sharp propagating wave fronts. The new methodology involves di erent nite element discretizations at di erent time levels; thus, at any time level, relatively coarse grids can be applied in regions where the solution changes smoothly while ner grids can be employed near wave ...