A method of quantitative comparison of two classi cations rules applied to protein folding problem is presented. Classi cation of proteins based on sequence homology and based on amino acid composition were compared and analyzed according to this approach. The coe cient of correlation between these classi cation methods and the procedure of estimation of robustness of the coe cient are discussed.

BACKGROUND Health promotion is an ethically challenging field involving constant reflection of values across multiple cultures of what is regarded as good and bad health promotion practice. While many disciplines are guided by a Code of Ethics (CoE) no such guide is available to health promoters. The International Union for Health Promotion and Education (IUHPE) has been nominated as a suitable...

We consider the problem of numerically approximating the solution of an elliptic partial di erential equation with random coe cients and homogeneous Dirichlet boundary conditions. We focus on the case of a lognormal coe cient, we have then to deal with the lack of uniform coercivity and uniform boundedness with respect to the randomness. This model is frequently used in hydrogeology. We approxi...

In this work, the modified group delay feature (MODGDF) is proposed for pitched musical instrument recognition. Conventionally, the spectrum-related features used in instrument recognition take into account merely the magnitude information, whereas the phase is often overlooked due to the complications related to its interpretation. However, there is often additional information concealed in th...

The recovery of the coe cient H(x) in the one-dimensional generalized Schrodinger equation d dx2 + kH(x) = Q(x) ; where H(x) is a positive, piecewise continuous function with positive limits H as x! 1; is studied. This equation describes the wave propagation in a one-dimensional nonhomogeneous medium in which the wavespeed 1=H(x) changes abruptly at a nite number of points and a restoring forc...

A 2021 CDC report on 378,048 US deaths attributed to COVID-19 identified a co-occurring diagnosis of chain-of-event condition (COE) (e.g., pneumonia, respiratory failure), or significant contributing (SCC) diabetes, dementia), both; in 91.9% the patients. This study assessed prevalence comorbid COE and/or SCC among diagnosed patients large open-source claims database. Patients with any claim in...

In this paper, a property of Schur polynomial of real coe cients and real Toeplitz matrix is given. Suppose that the vector of real coe cients of a Schur polynomial annihilates a real Toeplitz matrix, then the Toeplitz matrix is in fact a zero matrix.

Convergence of stochastic processes with jumps to di!usion processes is investigated in the case when the limit process has discontinuous coe$cients. An example is given in which the diffusion approximation of a queueing model yields a di!usion process with discontinuous di!usion and drift coe$cients. c © 2002 Elsevier Science B.V. All rights reserved. MSC: 60B10; 60K25