The thermal oxidation of propane in the temperature range 350-425oC was studied in order to elucidate the role of higher aldehydes as degenerate branching intermediates in the oxidation of hydrocarbons. In the slow combustion of propane, the high yield of propylene and methanol as the primary products, the formation of hydrogen peroxide, carbon monoxide, carbon dioxide, formaldehyde and steam a...

A pair of degenerate primers, GMPF1 and GMPR1, was designed on the basis of alignment of previously reported Grapevine fanleaf virus (GFLV) movement protein (MP) nucleotide sequences from Iran and other parts of the world. cDNA was synthesized by the use of Oligo d(T)18 from total RNA extraction from each diseased grapevine leaf sample and subjected to polymerase chain reaction (PCR) with the d...

Overlap of words complicates the problem of word counting. The technique of the imbedded Markov chain (IMC) uses an enlarged state space to recover the Markovian property for the word counting problem. A degenerate word represents multiple non-degenerate words. An efficient way to decompose a degenerate word according to its overlapping pattern for implementing IMC is proposed.

In this paper we study translation surfaces with the non-degenerate third fundamental form in Lorentz- Minkowski space $mathbb{L}^{3}$. As a result, we classify translation surfaces satisfying an equation in terms of the position vector field and the Laplace operator with respect to the third fundamental form $III$ on the surface.

We study the degenerate, the star and the degenerate star chromatic numbers and their relation to the genus of graphs. As a tool we prove the following strengthening of a result of Fertin et al. [8]: If G is a graph of maximum degree ∆, then G admits a degenerate star coloring using O(∆) colors. We use this result to prove that every graph of genus g admits a degenerate star coloring with O(g) ...

We propose a second order finite volume scheme for nonlinear degenerate parabolic equations. For some of these models (porous media equation, drift-diffusion system for semiconductors, ...) it has been proved that the transient solution converges to a steady-state when time goes to infinity. The present scheme preserves steady-states and provides a satisfying long-time behavior. Moreover, it re...

We study degenerate curves in pseudo-Euclidean spaces of index two by introducing the Cartan reference along a degenerate curve. We obtain several different types of degenerate curves and present existence, uniqueness and congruence theorems. We also give some examples of such a curves in low dimensions.