We give a few examples of Chebyshev polynomials that appeared in mathematical problems from the 16th and 17th century. The main example is famous equation Adrianus Romanus (Adriaan van Roomen) containing polynomial degree 45.

The tangential Hilbert 16th problem is to place an upper bound for the number of isolated ovals of algebraic level curves {H(x, y) = const} over which the integral of a polynomial 1-form P (x, y) dx + Q(x, y) dy (the Abelian integral) may vanish, the answer to be given in terms of the degrees n = degH and d = max(degP, degQ). We describe an algorithm producing this upper bound in the form of a ...

Andreas Vesalius and Jan Baptist Van Helmont are the two major personalities who contributed substantially and in a different way to the early development of renal anatomy/physiology of the 16th/17th century in the Southern Low Countries. The importance of A. Vesalius' publication 'de humani corporis fabrica libri septem' cannot be overestimated. The kidney was an intriguing organ to Vesalius, ...

not available. Characterization of Soil Contamination at Former Small Arms Training Ranges Utilizing a Triad Work Strategy Chien, Elizabeth, Gwyn Puckett, and Kym Takasaki, US Army Corps of Engineers, Seattle District, Seattle, WA. The 20th Annual International Conference on Soils, Sediments and Water, 18-21 October 2004, University of Massachusetts at Amherst. Poster Presentation. This paper d...

A necessary and sufficient condition is given for quasi-homogeneous polynomial Hamiltonian systems having a center. Then it shown that there exists bound on the number of limit cycles bifurcating from period annulus at any order Melnikov functions; explicit expression this in terms (n,k,s1,s2), where n degree perturbation polynomials, k first nonzero higher function, (s1,s2) weight exponent wit...

Metarhizium anisopliae is used as a biopesticide for insects that damage agricultural plantations like sugar cane and forage plants. In a previous study the sensitization to this fungus of asthmatic patients coming from sugar cane areas was showed. The aims of this work were: to compare crude extracts obtained with Tris-HCl and Coca liquid from several growth phases of M. anisopliae concerning ...

Digital systems have numerous advantages over analog systems including robustness, resiliency against operational variations. However, one of the most popular hardware security primitive, PUF, has been an analog component. In this paper, we propose the concept of digital PUF where the core idea is to intentionally use high-risk synthesis to induce defects in circuits. Due to the effect of proce...

We cordially welcome all participants of DDECS 2013 to Karlovy Vary – the most famous spa town of the Czech Republic. The DDECS symposium series has been organized by the Czech Republic (1997, 2002, 2006, 2009), Poland (1998, 2003, 2007), Slovakia (2000, 2004, 2008), Hungary (2001, 2005), Austria (2010), Germany (2011) and Estonia (2012). After our very successful event in Tallinn, Estonia, we ...