In this paper we study various models for web graphs with respect to bounded expansion. All the deterministic models even have constant expansion, whereas the copying model has unbounded expansion. The most interesting case turns out to be the preferential attachment model — which we conjecture to have unbounded expansion, too.

Let p be an odd prime and q be a power of p. A linear [n, k, d] code over the finite field Fq is a k-dimensional subspace of F n q with minimum Hamming distance d. Let Ai denote the number of codewords with Hamming weight i in a linear code C of length n. The weight enumerator of C is defined by 1 + A1X + A2X 2 + · · ·+ AnX. The sequence (1, A1, · · · , An) is called the weight distribution of ...

This paper introduces and studies the notion of an equidistant frequency permutation array (EFPA). An EFPA of length n = mλ, distance d and size v is defined to be a v×n array T such that 1) each row is a multipermutation on a multiset of m symbols, each repeated with frequency λ, and 2) the Hamming distance between any two distinct rows of T is precisely d. Such an array generalizes the well-s...

I study the power-law and de Sitter expansions for the universe during inflation from the STM theory of gravity. In a de Sitter expansion the additional dimension is related to the cosmological constant Λ = 3/ψ2. I find from experimental data that the mass of the inflaton field is m2 = 2/(3ψ2). In power-law expansion, the fifth coordinate (ψ) appears to be a dimensionless constant. The interest...

In this study, the behavior of nanoparticles using a numerical model is discussed. For this study a model for the expansion in free convection heat transfer and mix in a rectangular container with dimensions of 1 × 4 cm using Nano-aerosols in the air is going when copper nanoparticles, use and by changing the temperature difference between hot and cold wall, we will examine its impact on the ra...

Ectotherms commonly adjust storage and membrane lipid composition to ambient temperature to counteract detrimental thermal effects on lipid fluidity. The effect of repeated temperature fluctuations on fatty acid composition and thermal tolerance was investigated. We exposed Orchesella cincta to two constant temperatures (5ºC and 20°C), and a continuously fluctuating treatment (5ºC/20ºC every tw...

It has been the purpose of the present paper to investigate and explore the conditions under which the linear relation between Delta/C(D) (0) and Delta in the Hanna-Ashbaugh-Foster-Fyfe equation for the evaluation of equilibrium constants holds, (C(D) (0) is initial concentration of a donor and Delta is the observed chemical shift relative to the chemical shift of the acceptor) to obtain the eq...