ƒ It's now time to go back to the user ƒ We have detailed a lot of tools and techniques that allow for sophisticated matching criteria to be applied, however in doing so we have implicitly assumed that the user " knows " how to formulate her queries/preferences ƒ In some cases the user does not know at all what to look for. In this case, a " browsing " activity should be supported. We do not co...

Although k-means clustering is often applied to time series clustering, the underlying Euclidean distance measure is very restrictive in comparison to the human perception of time series. A time series and its translated copy appear dissimilar under the Euclidean distance (because the comparison is made pointwise), whereas a human would perceive both series as similar. As the human perception i...

For reducing impulsive noise without degrading image contours, median ltering is a powerful tool. In multi-band images, as for example color images or vector eld obtained by optic ow computation, a vector median lter can be used. Vector median lters are deened on the basis of a suitable distance, the best performing distance being the euclidean. Euclidean distance is computed by using the eucli...

In this paper we introduce a method for the fuzzy model reconstruction and a method for measurements reduction on the basis of test signals by maximization a posteriori possibility. It ensures the maximum accuracy of the measurements reduction. It is used the model of measurement errors with fuzzy constraints on its Euclidean norms.

On the other hand, in [3] there were constructed for each α < 1 examples of A with coefficients of regularity C for which the same estimates fail to hold. The first author then showed in [1] that, in space dimensions 2 and 3, the estimates do hold if the coefficients of A are C. The second author subsequently showed in [4] that the estimates hold for C metrics in all space dimensions, and that ...

Abstract. In a vacuum spacetime equipped with the Bondi’s radiating metric which is asymptotically flat at spatial infinity including gravitational radiation (Condition D), we establish the relation between the ADM total energy-momentum and the Bondi energy-momentum for perturbed radiative spatial infinity. The perturbation is given by defining the “real” time the sum of the retarded time, the ...

We develop an efficient allocation-based solution framework for a class of two-facility location– allocation problems with dense demand data. By formulating the problem as a multi-dimensional boundary value problem, we show that previous results for the discrete demand case can be extended to problems with highly dense demand data. Further, this approach can be generalized to non-convex allocat...

The concept of miss distance—Euclidean, Mahalanobis, etc.—is a fundamental, far-reaching, and taken-for-granted element of the engineering theory and practice of single-sensor, single-target systems. One might expect that multisensor, multitarget information fusion theory and applications would already rest upon a similarly fundamental concept—namely, miss distance between multi-object systems ...

As introduced earlier, the Euclidean Multifacility Location Problem (EMFLP) seeks to locate n new facilities at some points (xi, yi), i = 1, .., n in R 2 , in the presence of some m existing facilities located at specified points (aj, bj), j = 1, .., m, given certain interaction weights wij > 0 between designated pairs (i, j) of new and existing facilities in some indexpair set A NE , as well a...

The present study evaluates talkers’ ability to consciously modify the duration and Euclidean distance of the English high front vowel contrast in a predictable manner by changing their speech rate. Our results concur with previous studies showing that vowel duration is highly sensitive to changes in speech rate, and predictably decreases as speech rate increases. Although some changes in the c...